Assessment - Building Positive Mindsets Mathematics with Manipulatives and Technology Building Mathematics Knowledge for Teaching Understanding Student Mathematical Mindsets Supporting Students with Special Needs @oame2015 Keynote Speakers Marian Small Dan Meyer Nora Newcombe May 7 May 8 May 9 There’s Student Mindset, but What About Teacher Mindset? Beyond Relevance & Real World: Stronger Strategies for Student Engagement Picture This: Teaching and Learning Mathematics Using Spatial Thinking Featured Speakers Amy Lin Damian Cooper Chris Suurtamm May 7: Be More Dog! Enthusiastic and Curious Math Classrooms May 7: Beyond the Chapter Test May 7: They Can Do It! Supporting All Students’ Mathematical Thinking Joan Moss Ron Lancaster May 8: From the Lab to the Classroom: Lessons from a 4-year Geometry and Spatial Reasoning Research Project May 8: Mathematical Modeling in Abu Dhabi: Architecture, Design and Mathematics Ruth Beatty Indigo Esmonde May 8: Expanding Our Understanding of Math: Incorporating First Nations Perspectives May 9: Rethinking Mindsets, Rethinking Disabilities Themed Threads A thread involves 5 sessions where you will work with the same leaders and colleagues to study a topic in depth You will still have the option to attend the Keynotes and to choose 3 other sessions to attend. Caroline Rosenbloom and Mirela Ciobanu Mathematics with Manipulatives and Technology - Learn about tools that weave together the threads of mathematics. Connie Quadrini and Connie Gray Supporting Students with Learning Disabilities in Mathematics - Weave Math Knowledge for Teaching with understanding profiles of students with learning disabilities to enable these students to achieve their full potential. Brent Davis and Kathy Kubota-Zarivnij Concept Study - Teachers Co-Constructing Mathematics - Study mathematics for teaching in great depth with educators from K-12 and examine implications for teaching across all grades. Registration Information CONFERENCE DELEGATES Early Bird Rate PreConference Rate RETIRED OAME Members On-Site Early Bird Registration Rate PreConference Rate STUDENT Delegates On-Site Early Bird Registration Rate PreConference Rate On-Site Registration Full Conference 295 325 355 240 270 300 195 225 255 Two Day Conference 245 275 305 210 240 270 155 185 215 Thursday Only 170 200 230 120 150 180 95 125 155 Friday Only 170 200 230 120 150 180 95 125 155 Saturday Only 115 145 175 90 120 150 65 95 125 eConference 75 100 n/a n/a n/a n/a n/a n/a n/a Keynote Pass 50 75 105 n/a n/a n/a n/a n/a n/a The eConference will take place on Friday, May 8 only. OAME members will have the opportunity to view a selection of sessions chosen by the organizing committee. The number of eConference registrations will be limited to 100. A Keynote Pass entitles the delegate to attend any of the keynote addresses. It does not grant the holder entrance to any featured, Ignite or regular session. Keynote passes are transferrable but must be worn to gain access to the keynote address. The total number of passes will be limited to 250. Early-bird rate: This rate applies to delegates who register by March 1. Pre-conference rate: This applies to delegates who register after March 1, but before April 30. On-site rate: This applies to delegates who have not registered before the cut-off date. Registration will close on or before April 30, 2015. Registration is available at www.oame.on.ca/mcis/index.php Social Events Special Program Events Wednesday, May 6 Social Get Together Humber College Residence Lounge Thursday, May 7 Wine and Cheese (Cash bar, complimentary food) Exhibitors’ Area, Student Centre Shopping Trip to Vaughan Mills Transportation Provided Woodbine Entertainment (Casino & Racetrack) Transportation Provided Friday, May 8 Blue Jays vs Boston Red Sox OAME Banquet & Awards: A Mathemagical Event OAME Ignite — May 8 Highlighted speakers are invited to share their personal and professional passions, using 20 slides that autoadvance every 15 seconds for a total of just 5 minutes. OAME eConference — May 8 Live streaming of the keynote and two featured sessions to remote sites. It is Transportation Provided Le Jardin Banquet Centre available to OAME members outside a 100 km radius from Toronto. There are more than 300 sessions from which you can choose. For more info on the program, social events and accommodations, to download a map, or anything else about the conference, please visit www.oame2015.ca. @oame2015 Accommodations Location Cost Humber College Residence 203 Humber College Blvd $42 Single (shared WR) $76 Double No breakfast Holiday Inn Toronto Int’l Airport 970 Dixon Rd $108 No breakfast Hilton Toronto Airport 5875 Airport Rd $129 No breakfast $89 Single Quality Suites Toronto Airport $95 Double 262 Carlingview Dr Incl. breakfast Contact Info Call : 416-675-5027 http://www.humber.ca/conference/oame-accommodation-reservations Call: 1-866-568-0059 www.ihg.com/holidayinn/hotels/us/en/toronto/yyzia/hoteldetail Group code OAC Call: 905-677-9900 www.toronto-apt.hilton.com Group code OAME15 Call: 416-674-8442 www.choicehotels.ca Social Events Hospitality Table is in the registration area Wednesday, May 6 Social Get-Together Humber College Residence Lounge 8:00 p.m. – 11:00 p.m. Join us for some social time and libations for a chance to connect with colleagues and new friends! Thursday, May 7 Past Presidents Lunch Humber College Residence Dining Room 11:45 a.m. – 1:00 p.m. If you are a past president of OAME, you are welcome to come and socialize with others who have held the position over the years. Wine and Cheese with The Humber Jazz Trio Exhibitors’ Area, Student Centre 4:00 PM – 5:30 PM Come and enjoy wine/beer/non-alcoholic beverage, cheese and nibblies with your colleagues, publishers, and vendors. Complimentary food and cash bar. Shopping Trip to Vaughan Mills 5:00 PM – 9:00 PM Feel like shopping the deals but don’t know how to get there? Transportation will be provided to Vaughan Mills Shopping Centre. Departure from Humber College will be at 5:00 PM and return from Vaughan Mills at 9:00 PM. Food options available on-site. To reserve your spot, purchase a ticket for $12 on MCIS by April 29. Please meet at the Hospitality Table 15 minutes before departure. Woodbine Entertainment (Casino & Racetrack) 5:30 PM – ? Feeling lucky? Come gamble the night away at Woodbine Slots. Buy a $10 ticket on MCIS when you register for the conference. Ticket includes a $10 play voucher. Bet you’ll have fun! Meet at the Hospitality Table at 5:30 PM. Friday, May 8 Blue Jays Game 5:00 PM – ? Cheer for the Blue Jays as they take on the Boston Red Sox! Cost is $20 and includes Jays ticket plus two TTC tokens. Please meet at the Hospitality Table at 5:00 PM to collect your ticket and arrange transportation, if needed. Game time is 7:05 PM. Book your ticket on MCIS by April 23. OAME Banquet Le Jardin Banquet Centre 6:00 PM – 12:00 AM Join us as we recognize and honour this year’s Outstanding Math Educators and celebrate friendships over a meal. Tickets cost $55 and include a three-course meal and some magical entertainment by Toronto illusionist, Coby. Complimentary transportation will be available from Humber College Residence at 5:30 PM. A return shuttle will leave Le Jardin at the end of the night. Please purchase your ticket on MCIS by April 23. OAME and non-OAME members alike are welcome! Thank you to all of our sponsors and exhibitors Sponsors & Exhibitors Spectrum Educational Watters Marketing Duplicom Humber Institute of Technology & Advanced Learning McGraw-Hill Ryerson Canadian Educational Warehouse Rubicon Publishing Exhibitors 3P Learning Homework Help Pearson Canada Autograph Knowledgehook Popular Book Co BOUND2LEARN Louise Kool & Galt Promethean Box Cars & One-Eyed Jacks Mangahigh.com Queen’s University Brock University Maplesoft Scholastic Education Canadian Mathematical Society Marathon Learning Sharp Electronics Casio Nelson Educational STAO CCS Educational Netmaths.net Texas Instruments Centre for Education in Mathematics and Computing Neufeld Learning Systems The Groove EDGEucation Chess Institute of Canada Nipissing University The Right Angle EDU K-12 Math OAME University of Guelph ExploreLearning OAME 2016 Wintergreen GKP Global Solution OTIP York University OAME 2015 Planning Committee Committee Committee Chairs Conference Chair Wayne Erdman eConference Anne Yeager Bruce McKay Rod Yeager Exhibits & Sponsors Cathy Chaput Sonia Ellison Mark D’Souza Caroline O’Connor Facilities & Equipment Jung Choi-Perkins Jane Silva Alvarine Aldridge Josh Chung Tara Cook Rob Donato Fred Ferneyhough Chi Hang Anna Jupp Nadine McKoy Earl Totten Finances Lynda Ferneyhough Tim Sibbald Pamela Chun Christine Sasso Hospitality Freda Liu Sandra Jean Price Program & Speakers Paul Alves Judy Mendaglio Connie Quadrini Promotions Bart Vanslack Registration Greg Clarke Members Charlotte Aust Melissa Black Najwa Chalabi Olive Creary-Satchell Sharman Howes Carol Miron Adrian Pope Peter Saarimaki Rose Salerno Ann Michele Stenning Kathleen Wong Lori Yee Tom Boland Symantha deRoos MaryLou Kestell Amy Lin Bill Otto Sooky Crljen Marc Husband Jill Lazarus Lori Schuyler Paulene Washington Student Volunteers Tatiana Allakhverdova Margaret Quinn Denise Filipovic Peter Wei Website & MCIS Claudio Attanasio Bill Lundy Greg Clarke Cheryl Geoghegan Kathy Pilon KEYNOTE ADDRESSES Thursday, May 7, 2015 There’s Student Mindset, but What about Teacher Mindset? Marian Small (One, Two… Infinity) There has been a lot of discussion in the last few years about how important a student’s mindset is in his or her ultimate success in math. Most of the discussion has been about fixed mindsets versus growth mindsets and about the teacher’s role in helping a student cultivate a growth mindset. But what about the teacher’s mindset as a teacher? Is it just about having a fixed mindset or growth mindset as a teacher or are there other important factors both for a satisfying teaching experience and a valuable learning experience? Friday, May 8, 2015 Beyond Relevance & Real World: Stronger Strategies for Student Engagement Dan Meyer (Stanford University) Highlighting relevance and connections to the real world are often seen as the most effective strategies for engaging students in difficult mathematics, but both strategies are limited and can fail in crucial ways. We'll add strategies to our repertoire, looking at research-based methods for developing a question instead. Saturday, May 9, 2015 Picture This: Teaching and Learning Mathematics Using Spatial Thinking Nora Newcombe (Temple University) Children who think spatially learn mathematics more quickly and easily. But why? And how can teachers use this linkage between space and math in teaching math? In this talk, Dr. Newcombe will begin by explaining what spatial thinking is, and presenting the evidence linking spatial thinking to mathematical thinking. She will then discuss how to strengthen spatial skills, beginning in early childhood, and present some examples of how to teach mathematics spatially. The supportive value of spatial thinking seems to apply across individual differences in children and across lower and higher mathematical abilities. Hence spatializing the math curriculum can be expected to help all learners. FEATURED SESSIONS Thursday, May 7, 2015 Manipulating Mathematical Thinking with Technology - Partnership Overview Caroline Rosenbloom (Toronto DSB) & Mirela Ciobanu (Toronto DSB) Through this presentation we will provide an overview of a partnership between classrooms in various boards that worked together to create a student collaborative digital space promoting students’ cognitive engagement in mathematics. Students were able to provide detailed descriptive feedback, ask higher level questions and motivate each other in many ways. We will explore various free tool technologies that were naturally embedded in the instructional design and allowed students to deepen their problem solving, communication and digital literacy skills. Teachers who participated in the partnership will have an opportunity to share their experiences with us via Google Hangout. The three follow up sessions will detail steps educators can take to naturally contextualize technologies in mathematics in order to create connected classrooms. BYOD for the full experience! Be More Dog! Enthusiastic and Curious Math Classrooms Amy Lin (Halton DSB) Students in our math classrooms are surrounded by amazing new technology and learning environments. Some students are still aloof and showing little enthusiasm. Life would be much more fun if we took a leaf out of the dog’s book – finding everything amazing and always curious. They are positive, excitable, playful and open to new ideas – how we want our students to be. This session will explore how we can effect changes in attitude and their beliefs about their abilities by engaging them in tasks that push them to achieve and encourage perseverance. Strategies include visual approaches and posing open questions building towards a culture of collaboration, productive struggles and critical thinking. They can do it! Supporting all students’ mathematical thinking Chris Suurtamm (University of Ottawa) All students are capable of engaging in mathematical thinking. This presentation will draw on research and practice to unpack the environments, the tasks, and the teacher moves that help to facilitate mathematical thinking with all students. Sample tasks, student responses, and teaching strategies will be shared. Beyond the Chapter Test Damian Cooper (Plan-Teach-Assess) The research evidence that supports the power of formative assessment, over summative evidence, as a means of deepening learning for students is compelling and growing. If the goal of teaching is improved student learning, then a balanced approach to assessment in mathematics is essential. But what do we mean by “balance”? We need develop assessment plans that balance HOW we assess learning: students demonstrating their understanding and skills through performance assessments; students talking about their growing understanding – or lack thereof! – and, of course, when appropriate, students communicating their learning through written evidence. But written evidence must comprise a much richer range of formats than quizzes and tests. An equally important feature of an effective assessment plan involves the balance between the formative and summative components. Since we know that formative assessment has a far greater impact on improving learning than summative assessment, why do summative tasks – and particularly tests – continue to be the most pervasive assessment strategy? It’s time to “move beyond the chapter test”. FEATURED SESSIONS Friday, May 8, 2015 Expanding Our Understanding of Math: Incorporating First Nations Perspectives Ruth Beatty (Lakehead University) The mathematics in the Ontario Curriculum is founded on Western European mathematical perspectives. What happens when we start to consider other ways of thinking mathematically? Ethnomathematics offers a re-conceptualization of mathematics that goes beyond school-based math to recognize and value the diverse mathematical practices that have originated in other cultures and societies. In our work we have been bringing together First Nations artist-educators, non-Native educators, and First Nations and non-Native students to explore the mathematics inherent First Nations cultural practices. We have found that grounding mathematics instruction in culturally-based activities has powerful potential for both First Nations and non-Native students. As this journey progresses, all of us – researchers, teachers, artists, and students – have broadened our understanding of what it means to “do math.” Supporting Students with Learning Disabilities in Mathematics: What Have We Learned So Far? Connie Quadrini (Ontario Ministry of Education) & Connie Gray (Simcoe County DSB) Unpacking of student profiles in conjunction with mathematics content is providing new ways of thinking and subsequently guiding collaborative inquiry by special education and mathematics educators who are focused on supporting students with learning disabilities in mathematics. Findings from collaborative inquiries have yielded some insights into ways that students perceive, understand and communicate mathematics. Come hear about some of the high yield instructional strategies that support unique student profiles with precision and personalization, and walk away with new ways of thinking about how to best enable these students. Mathematical Modeling in Abu Dhabi: Architecture, design and mathematics Ron Lancaster (University of Toronto) We will examine mathematical models and activities related to astonishing buildings in Abu Dhabi, including one that responds to sunlight and another in the shape of a circle. We will discuss connections between the 7-12 mathematics curriculum, architecture and design and how mathematical modeling can be done with buildings anywhere in the world. FEATURED SESSIONS Friday, May 8 From the lab to the classroom: Lessons from a 4-year geometry and spatial reasoning research project Joan Moss (University of Toronto) Spatial reasoning has captured the attention of influential organizations, such as the National Council of Teachers of Mathematics (2010) and the National Research Council (2006), and, recently, the Ontario Ministry of Education (OME, 2014). Years of research by cognitive scientists and developmental psychologists have uncovered the central role of spatial reasoning for STEM disciplines, most notably mathematics. The good news, according to an award-winning meta-analysis of 206 spatial training studies (Utall et al., 2011), is that spatial reasoning is malleable and can be learned by people of all ages. Although the implications of these findings offer promise for educators, surprisingly, only a handful of the studies from this meta-analysis were conducted in the “messy” environments of classrooms. Our challenge as educators is to translate these findings and to incorporate spatial reasoning into the realities of classroom practice. For the last four years the Math for Young Children project has been working in a variety of classrooms, both urban and rural, to address this gap. This project has brought together researchers, mathematicians, teachers and educational leaders to design and test lessons and activities to support the development of spatial reasoning. More specifically, we have worked towards investigating new ways to incorporate spatial reasoning in the teaching and learning of geometry, measurement and recently, number. In this talk, I will present highlights of the tasks and lessons that we have designed, show video clips of student reasoning, and present research findings from the intervention studies that have been part of this project. Saturday, May 9, 2015 Concept Study - Becoming an Expert Who Can Think Like a Novice Kathy Kubota-Zarivnij (Toronto Catholic DSB) & Brent Davis (University of Calgary) Jon said, "I don't get multiplication. How do I multiply "pi" by itself r-squared times? During this session, participants will experience aspects of "Concept Study" - a systematic set of research-based strategies, collectively co-constructed by kindergarten to grade 12 teachers to develop their math content knowledge and understand what it takes to learn mathematics as a novice. Rethinking mindsets, rethinking disabilities Indigo Esmonde (University of Toronto) As mindset research has shown, how we think about learning can have powerful effects on what we do when we try to learn something. This session will begin by uncovering our attitudes and definitions for mindsets, learning, and disabilities. I will then propose a few different ways we might think about these three topics, and the connections between them. With this background information in mind, we will engage in some activities to explore powerful ways to engage mathematically with students who have been identified with learning disabilities. THREADS Manipulating Mathematical Thinking with Technology Caroline Rosenbloom (Toronto DSB) & Mirela Ciobanu (Toronto DSB) In Session 1 of the thread: Manipulating Mathematical Thinking with Technology. As a novice or a techsavvy educator, we will provide steps you can take to contextualize tool technologies in your mathematics instructional design. These strategies will deepen students’ ability to think critically as they participate as knowledgeable, reflective, creative and analytical members of a collaborative digital space. We will show how technology for instruction and assessment was used in our partnership project where students were part of a learning community to discover, explore, and conjecture about mathematical ideas collaboratively and cross-culturally. In Part 2 of this thread: Successful students can fluently “see” mathematical relationships. During this session, participants will engage in problem solving and use various models of representations, including the Singapore Model Drawing and the open number line model used in Japan. Additionally, we will explore how dynamic technology-generated representations are easily manipulated to increase students’ ability to identify the relationships between known and unknown quantities in the problems they solve. We will share samples of collaboratively generated problem representations, as a result of the mathematical partnership created among various math classroom communities. In Part 3 of this thread: We will show the role parents play as critical members in our learning partnership for student success. From parent engagement sessions to classroom blogs, we will explore different ways technology can be used to link the home and school to involve parents in our learning community. BYOD for the full experience! Supporting Students with Learning Disabilities in Mathematics Connie Quadrini (Ontario Ministry of Education) & Connie Gray (Simcoe County DSB) Classroom teachers of mathematics, special education teachers, and professional learning facilitators are invited to participate in this innovative thread! Students with learning disabilities have average to above average cognitive ability and therefore great potential to learn mathematics. So what’s important to know and understand about the challenges that these students face when learning mathematics? This interactive session will provide educators with the opportunity to develop understanding of the profile of students with learning disabilities. Through experiencing math specific simulations, they will gain insights into the cognitive processes that impact students' mathematics learning. During this session, educators will apply new perspectives and insights gained as they work collaboratively to unpack the IEPs of students with learning disabilities through a mathematics lens, and analyze mathematical tasks and student thinking. In addition, they will consider next steps for student learning including selection of precise and personalized accommodations that leverage student strengths and respond to needs. Interventions for students with learning disabilities will be explored with a focus on assessing students' mathematical readiness, and selecting appropriate resources and supports that move these students forward in their mathematics learning. Concept Study: Teachers Co-Constructing Mathematics Kathy Kubota-Zarivnij (Toronto Catholic DSB) & Brent Davis (University of Calgary) If multiplication is repeated addition, how does one go about adding 1.2 to itself 3.4 times? Questions like these will be investigated through "Concept Study"-- a systematic set of research-based strategies collectively co-constructed by kindergarten to grade 12 teachers to deepen their own understanding of math content, while supporting their students' understanding. SESSION DESCRIPTIONS The following pages contain the session descriptions — Keynote speakers, featured speakers, themed threads and breakout sessions. Keynote addresses have been scheduled in the second timeslot. Featured sessions have been scheduled in each of the other time slots. Themed Threads allow you to choose to study a single topic deeply. If you want this conference-within-aconference option, you can choose 1 of 3 threads. When you enroll in a thread, you will commit to 5 sessions (double Thurs. pm, double Fri. pm and single Sat.) where you will work with the same leaders and colleagues to study a topic in depth – to spin out the mathematics for teaching to considerable length and depth. You will still have the option to attend the Keynotes and to choose 5 other sessions. Breakout Strands. sessions have been scheduled in all timeslots except during the keynote presentations. Sessions are organized under the following strands: Understanding Student Mathematical Mindsets; Assessment – Building Positive Mindsets; Mathematics with Manipulatives and Technology; Supporting Students with Special Needs; Building Mathematical Knowledge for Teaching Build your schedule here Session T1 T2 T3 T4 T5 F1 F2 F3 F4 F5 S1 S2 S3 Session # Title SESSION DESCRIPTIONS Thursday, May 7 Session # Time Page T1 8:30 – 9:45 15 T2 - Keynote 10:00 – 11:15 24 Exhibitors 11:15 – 11:45 T3 11:45 – 1:00 24 T4 1:15 – 2:30 33 T5 2:45 – 4:00 43 Friday, May 8 F1 8:30 – 9:45 53 F2 - Keynote 10:00 – 11:15 60 Exhibitors 11:15 – 11:45 F3 11:45 – 1:00 61 F4 1:15 – 2:30 69 F5 2:45 – 4:00 78 Saturday, May 9 S1 8:30 – 9:45 88 S2 - Keynote 10:00 – 11:15 94 Nutrition Break 11:15 – 11:45 S3 11:45 – 1:00 95 SESSION DESCRIPTIONS CODE & LEVEL T1.01 J/I TITLE Featured Session: Manipulating Mathematical Thinking with Technology Partnership Overview PRESENTER(S) CAROLINE ROSENBLOOM MIRELA CIOBANU DESCRIPTION Through this presentation we will provide an overview of a partnership between classrooms in various boards that worked together to create a student collaborative digital space promoting students’ cognitive engagement in mathematics. Students were able to provide detailed descriptive feedback, ask higher level questions and motivate each other in many ways. We will explore various free tool technologies that were naturally embedded in the instructional design and allowed students to deepen their problem solving, communication and digital literacy skills. Teachers who participated in the partnership will have an opportunity to share their experiences with us via Google Hangout. The three follow up sessions will detail steps educators can take to naturally contextualize technologies in mathematics in order to create connected classrooms. BYOD for the full experience! T1.02 K/P/J Some big ideas about measurement in K - 5 David Zimmer John Rodger Dwight Stead We often ask students in grade 8 or grade 9 math classes "What is area?" and receive responses listing all the formulas they know. For many students, perimeter, area and volume are just formulas and the units are arbitrary and without meaning. Clearly this is a problem for students, but how often do teachers consider how various measurement concepts are developed in previous grades, let alone in subsequent grades, and why? We present some fundamental ideas about measurement in three workshops, each of which focuses on a particular grade band. Participants will have sufficient time to engage activities and discuss connections between measurement ideas that are particularly relevant to the grades they teach. Where it makes sense, we will reach back to previous grades or ahead to highlight how these ideas connect to prior or future learning. Join us, for an opportunity to build on your existing mathematical knowledge for teaching measurement, by exploring a variety of activities designed to demonstrate the initial development of concepts of perimeter, area and volume from K through grade 5. This will be followed by activities and discussion designed to link measurement ideas to concepts in other strands. 15 CODE & LEVEL T1.03 J/I TITLE Facilitating Mathematics Professional Learning – One Journey PRESENTER(S) Connie Quadrini MaryLou Kestell DESCRIPTION During this session, participants will unpack the journey of two mathematics professional learning facilitators as they planned, facilitated, and reflected upon the collaborative inquiry they led during the 2013-14 school year. The annotated journey includes the framework for the collaborative inquiry, digital artefacts, and facilitator reflections. Participants will make explicit connections to the roles of a mathematics professional learning facilitator and the non-visible actions and interactions documented in the Ministry of Education’s Facilitating Mathematics Professional Learning Brochure. Consolidation of the session will invite participants to consider next steps for their personal journey in facilitation of collaborative inquiry in mathematics. T1.04 I OAME/MoE/OMCA Grade 9 Applied Math Collaborative Project TBA This year OAME, in conjunction with the Ministry of Education and OMCA, are running a project to improve student learning in Grade 9 Applied Math. Come to a session where we will share our experiences and what we have learned. T1.05 K/P/J/I/S Facilitating Professional Learning in Mathematics Danielle Blair Join us to explore the skills and knowledge required to facilitate Mathematics Professional Learning. By examining the Facilitating Mathematics Professional Learning brochure, participants will have an opportunity to do a self-assessment and explore relevant resources. Stay and explore Ministry of Education Mathematics K-12 Resources, including: EduGAINS – Mathematics K-12, mathies, Ontario Education Resource Bank (OERB), Blended Learning packages, ministry licensed digital supports, Homework Help, Critical Learning Instructional Path Supports (CLIPS), Gap Closing and ePractice, Financial Literacy, lesson planning supports, and resources to support professional learning facilitators of mathematics. T1.06 I/S Why upgrade? Darryl Marchand THIS IS A PRODUCT SESSION. If you are using the TI-83+/84+ or have the grey scale TI-Nspire CAS handhelds, come and see why you might want to upgrade your school's technology. Moving forward you can have a unique learning tool in your classroom that can provide you with opportunities to engage students, have greater assessment capabilities and let students explore math in a variety of different ways. Free resources are available to use right away. All participants will receive a 1 year license copy of the TI-Nspire Teacher software. 16 CODE & LEVEL T1.07 J/I/S TITLE Pythagoras, the Man and his Theorem PRESENTER(S) chi chan DESCRIPTION Who was Pythagoras? Was he the first one to discover the theorem named after him? In this workshop, I will discuss the Pythagorean theorem (Euclid’s The Elements, Book I, Proposition 47) and its extended form (The Elements, Book VI, Proposition 31). Contributions by Pythagoras, the Babylonians and the Chinese in understanding the theorem and the connections of the theorem to the middle school and high school Math curriculum will also be discussed. Hands-on activities, in particular, the Bronowski’s method and the Chinese Method (using tangram), will be used to demonstrate the validity of the theorem. T1.08 J/I Concrete Props, Virtual Applets and Touch Pad Apps: Selecting useful manipulatives immaculate namukasa Teachers and students continue to search for materials that promise to assist children to think mathematically. What guiding principles could teachers use when choosing the most useful manipulatives? In this presentation I share an instrument for selecting iPad apps that are useful for learning mathematics. The instrument is based on research on virtual manipulatives, on classroom research and on an examination of 80 apps for teaching number sense and numeration. T1.09 K/P/J Playing math games to include students with special needs in our math classroom - A Think Tank Margaret Allen In this session teachers will have an opportunity to look at current research on the integration of students on a Individual Education Plan, become familiar with math games to support and reinforce concepts being investigated in the classroom as well as have the opportunity to contribute game ideas to the action research team currently exploring this in their classrooms. T1.10 P/J/I Building assessment on the premise of growth mindset Natasa PasicKnezevic In this workshop teachers will be engaged in conversations about how negative mindset can impact mathematical learning and block student success. Teachers will be investigating the negative impact of a fixed mindset around assessment in mathematics as seen through the eyes of both students and teachers. Practical strategies will be shared on how to gradually encourage a more balanced instruction and assessment, which includes triangulation and differentiation. Participants will be encouraged to self-reflect and co-design strategies to help overcome math anxieties in teachers and students and ensure assessment is being built on the premise of growth mindset. Our goal is that educators feel empowered by believing that everyone can do math. Nurturing a positive attitude towards math and continuous perseverance when problem solving will encourage students to become confident and numerate creators of the future. Participants are encouraged to bring their own devices. 17 CODE & LEVEL T1.11 K/P TITLE Spatial Reasoning and Mathematics: Research Findings from the Math for Young Children Project PRESENTER(S) Tara Flynn DESCRIPTION What is spatial reasoning? How does it relate to mathematics? Why is it important? What happens when we “spatialize” the mathematics curriculum – what does that look like and how does it benefit children’s mathematical learning? The Math for Young Children Project (Trent University/OISE) has been underway since 2011 to investigate these questions about young children’s mathematics and spatial reasoning. We use an asset-oriented perspective of children as capable mathematicians and use a “no-ceiling” approach, watching for what students are capable of doing and for their intuitive spatial reasoning strategies. What we have found continues to surprise us, as children so often exceed our expectations in their mathematical thinking and spatial abilities when given rich tasks and materials, curious and playful contexts, and “no ceiling” on the learning. This session will present findings from the research and explore implications for mathematics teaching and learning. T1.12 S Making use of math in electronics, robotics and 3D printing. David Johns Statistics, differential and integral calculus, complex numbers, trigonometry, functions, etc, are all crucial tools needed for a technical career. This talk will highlight the many math concepts used in electronics, robotics and 3D printing. T1.13 K/P/J Big Results with Small Group Instruction: Guiding young mathematicians in smallgroup meetings Michele Cooper This workshop will focus on using small-group instruction as the centrepiece of a balanced math block, engaging all students in meaningful "math exchanges." As in reading and writing workshops, students become independent and self-directed while participating in a classroom community of learners. Through the small group instruction, students focus on number sense and the big ideas in math. The teacher mediates talk and thinking as students discuss "how math works”, share problemsolving strategies, and move toward more effective and efficient approaches to mathematical understanding. T1.14 I/S CTRL + ALT + DEL Resetting My Mindset Alyssa Carmichael When I began teaching, I felt like I was on top of the latest and greatest in mathematics education. Ten years later, I feel like I am running through an everchanging world of technology and educational theory. Please join me and share in a discussion on how my mindset around teaching mathematics has evolved and how I am using a variety of multimedia tools to make student-led thinking the norm in my classroom. Resources for Grades 9 – 12 will be shared. 18 CODE & LEVEL T1.15 P/J/I TITLE Mathematics: Can We Talk? PRESENTER(S) Cathy Chaput DESCRIPTION Math conversations not only help children learn, they make math more engaging and support assessing through the principles of Growing Success. This fun and active session will provide tried-and-true ideas to support student communication in the math classroom, for students from grade 1 through to grade 12. Practical and easy strategies for fostering a supportive classroom environment, and the use of conversations as a form of assessment will be shared and discussed. Walk away with ideas to put into practice right away! Let's talk! T1.16 K/P/J CANCELLED Math Class Goes Google - Elementary Version LISE GALUGA Learn how to maximize collaboration, critical thinking, creativity and communication – in math class – by using Google tools. Real examples and practical applications for elementary grades will be demonstrated, discussed and shared. T1.17 J/I Building Mathematical MIndset and Number Sense with Students on IEPs Glynnis Fleming We are trying many different strategies to meet the mathematics learning needs of our students with IEPs in mathematics. Our work has focused on building productive mindsets through a variety of classroom-based strategies. Join us as we share what we have tried and participate in our discussion of next steps. T1.18 J/I Ease the struggle! Help your students leap forward in math (Grades 3-8) ROSE SALERNO THIS IS A PRODUCT SESSION. Nelson Education’s Leaps and Bounds Toward Math Understanding is a mathematics intervention resource carefully developed to help teachers support students who are working as many as three levels below grade. Based on Marian Small’s work on questioning and big ideas, Leaps and Bounds provides diagnostic questions to help assess where each student is in their understanding, followed by additional questions and independent practice to help them move forward in their understanding. Join us to discover how Leaps and Bounds can make mathematics intervention as easy as 1, 2, 3! T1.19 J/I Geometry, Spatial Sense, and Problem Solving Lorna Morrow Research tells us that these three are closely connected. Come and try some activities that will help develop these skills in students. Visualize 2D and 3D figures, look for patterns, and apply logical thinking. No previous experience necessary. 19 CODE & LEVEL T1.20 J TITLE The Road to Multiplicative Thinking PRESENTER(S) Keith Van De Keere DESCRIPTION Knowing their multiplication tables does not mean that students can think multiplicatively. Nor does it indicate that they know the value of multiplication and division. This session will focus on ways to help kids to move past counting and additive thinking to multiplicative thinking. Multiplicative thinking is at the centre of many community discussions about what it means to be a numerate citizen. We hear the terms memorization and automaticity being tossed around. Hopefully we are keeping in mind the intent of the curriculum is for young mathematicians to make connections and see relationships between numbers. T1.21 P/J Do We Understand Learning Goals and Success Criteria Yet? PATRICIA MARGERM In order to develop a growth mindset, students need to work toward learning goals and success criteria. Here are some questions that we will consider as we continue to learn about the power of identifying learning goals and success criteria: How can more than one learning goal be developed for the same curriculum expectation? How can more than one learning goal be developed for the same problem? What happens when you change your learning goal and success criteria part way through a lesson? Is it the end of the world? T1.22 I/S Group Work Everyday!!! Nouha ObagiFakhouri Group work can promote learning, engagement and self-confidence in mathematics. I have created an atmosphere whereby students are responsible for their learning and accountable to each other. I will explain the different roles that I give to the students on a rotational basis. I will share several teaching strategies on how to get every student engaged - even those who are convinced that they can't do math. I have several activities to share for grades 9 to 11. I will show how using the document camera allows students to participate more in class and share their ideas with others. I don't teach but rather I direct learning and sometimes there is no direction needed as students take on challenges on their own and lead the class. T1.23 I/S Making Math Accessible Dianne LaFortune All students come to school solving math problems. A learning environment, which includes rich problems, uses resources (manipulatives) and tools (technology), creates a variety of ways for all students to continue to develop math skills and concepts (big ideas). Planning for student success requires that students' learning profiles, big ideas in math, and technology are used to meet student needs. Planning for, participation in and assessment of students' with exceptionalities, including Learning Disabilities, Autism, and Developmental Delay, in classroom math activities will be explored and discussed. 20 CODE & LEVEL T1.24 K TITLE Promoting a Mathematical Mindset in Kindergarten PRESENTER(S) Sandra Fobert Susan Huys Cheryl Vallance T1.25 S Spiraling through MHF4U Janice Bernstein Spiraling through a course allows students to see the same course expectations several times during the semester and have multiple opportunities to show their understanding. Join us on our journey! For the past two years we have been collaborating intensively on the MHF4U course. We have made many changes: our classrooms are now vertical with students solving problems at a whiteboard, students no longer take notes from the teacher, we maintain a blog for students to refer to class notes in the form of pictures of their work at the whiteboards, we have developed daily (and we mean daily) activities which are student centred and our evaluations are multi-strand. Come see how our students spiral through the MHF4U course! T1.26 J/I Interdisciplinary MathematicsSocial Justice P/J Mathematics is not just for "math period" anymore! This workshop will take participants on a journey to discover the importance of mathematics within interdisciplinary contexts. By "doing the math" students will fully understand the importance of concepts being taught in literacy (as well as other subjects), by deconstructing the mathematics within texts. Teachers attending this workshop will have an opportunity to deconstruct non-fiction texts and participate in hands-on learning. Laura Inglis Catherine Inglis DESCRIPTION A Student Work Study Teacher and two Kindergarten Teachers will share the process, results and resulting home connections of their collaborative inquiry. As Kindergarten students engaged in free, focused and guided exploration in their classrooms, photographs of students demonstrating an understanding of specific mathematical vocabulary or a readiness to learn specific mathematical vocabulary were taken. Using the app Book Creator, the students and the teachers co-created and labeled visuals of these moments. Over time, every student was identified as a 'Math Expert' for multiple visuals of math vocabulary and took ownership to teach others in the classroom this expertise, thereby promoting the building of a mathematical mindset in all students. 21 CODE & LEVEL T1.27 J/I TITLE PRESENTER(S) Consolidating and Scott Dowling Assessing Student Learning: Digging Into the Article “5 Practices for Orchestrating Productive Mathematical Discussions” DESCRIPTION Consolidating student learning is often the most difficult aspect of teaching math. Participants of this session will have a hands-on opportunity to learn about and engage in discussions with colleagues regarding consolidating student learning using key ideas from the article by Margaret S. Smith and Mary K. Stein called “5 Practices for Orchestrating Productive Mathematical Discussions”. Using these 5 practices of Anticipating, Monitoring, Selecting, Sequencing and Connecting the mathematical learning, teachers can promote a positive classroom environment where misconceptions, mistakes and success can be used to fuel new learning. Participants will be looking at student samples brought by the presenter. During the session, there will also be highlights of how to use technology (e.g., iPad Apps, Google Apps for Education) to accelerate the consolidation process and collect assessment data in the classroom. T1.28 I/S Adventures in Assessment: Are we there yet? Beliefs, Cultures, Turning Points, and Dilemmas “The primary purpose of assessment and evaluation is to improve student learning”. (Growing Success). This challenging statement has many educators on a personal journey of change. This session will focus on the process of change as it applies to assessment in mathematics. Through personal stories from math educators, we will discuss turning points. Through these turning points, working collaboratively with participants, we will surface themes related to beliefs, cultures, and dilemmas. Goals for the session include gaining deeper insight into how we can improve our own practices, and “be the change” by reframing assessment mindsets to improve students' learning in our classes, schools, and province. ROBIN MCATEER 22 CODE & LEVEL T1.29 K/P/J/I/S TITLE Imagining a World Where Paris Hilton Loves Mathematics PRESENTER(S) Vanessa Vakharia DESCRIPTION This presentation is a response to the plethora of recent research out there which claims that not only are girls outperforming males in math classrooms - but that nonetheless, they are selecting NOT to pursue math beyond the compulsory level at a far greater rate than their male peers. This presentation will assist teachers in understanding how their teaching style and presence inside the math class interacts with media images of mathematics, ultimately encouraging or discouraging girls to pursue the subject beyond the compulsory level. Based on research I conducted regarding femininity and mathematics, I explore how girls connect with the idea of 'being cool,' and how THAT connects with the idea of 'being a mathematician.' This presentation is a playful one, surmising how girls might react to mathematics differently if pop culture TREATED mathematics differently. However, while playful, it is based on both extensive literature as well as empirical data. Focusing on girls from Toronto, Ontario, who generally see themselves as part of the mainstream culture, my work speculates as to how these girls understand mathematics and their relationship to mathematics. Basically, I explore whether girls select academic courses to construct their identity on the basis of cool, using the same evaluation process they would when selecting products for consumption. I hypothesize that treating math as a consumer good by marketing it accordingly might give rise to increased mathematical participation and enthusiasm by this particular segment of girls who rely on identity marketing for many of their consumption decisions. Finally, this argument is illuminated by an illustrated marketing plan that provides a practical example of how the ideas emergent from this study might applied. T1.30 P/J/I Area Model from 1 - 12 CAROL SHIFFMAN The shortest distance from Grade 1 to Grade 12 is not a straight line...it's a rectangle. The area model can effectively address multiple content areas as well as mathematical processes. This session will explore the use of the area model to visualize multiplication in variety of contexts and across the divisions. It will be of interest to both teachers and parents. 23 CODE & LEVEL T1.31 J/I TITLE A MathOlymPIcs for everyone: Unexpected enjoyment with math! PRESENTER(S) Jamie Pyper Clarissa Parsons T2.Keynote All Keynote: There’s Student Marian Small Mindset, but What about Teacher Mindset? There has been a lot of discussion in the last few years about how important a student’s mindset is in his or her ultimate success in math. Most of the discussion has been about fixed mindsets versus growth mindsets and about the teacher’s role in helping a student cultivate a growth mindset. But what about the teacher’s mindset as a teacher? Is it just about having a fixed mindset or growth mindset as a teacher or are there other important factors both for a satisfying teaching experience and a valuable learning experience? T3.00 LUNCH First of 2 available lunch time slots T3.01 K/P/J/I/S Featured Session: Be More Dog! Enthusiastic and Curious Math Classrooms AMY LIN DESCRIPTION The purpose of this workshop is to explore how ‘doing math’ can be even more engaging and fun for you and your students. “Fun with math” and “math olympic”type events do not have to be the traditional and historical contest problems. Students, parents, and teachers continually exclaim how much they enjoyed these matholymPIcs! A shift in mindset occurs when student collaborate to solve problems, which effectively emphasises and incorporates learning styles, learning skills, and mathematical thinking. The result is a natural blending of basic fundamental skills with broad conceptual understanding and a re-examination of one’s mathematical mindset. The workshop will a) introduce a template for what a full day event could look like, b) template options for one class, and for one school with multiple grades, c) time to try some events from a grade 7&8 event, d) features of good event activities, and e) curriculum connections. Students in our math classrooms are surrounded by amazing new technology and learning environments. Some students are still aloof and showing little enthusiasm. Life would be much more fun if we took a leaf out of the dog’s book – finding everything amazing and always curious. They are positive, excitable, playful and open to new ideas – how we want our students to be. This session will explore how we can effect changes in attitude and their beliefs about their abilities by engaging them in tasks that push them to achieve and encourage perseverance. Strategies include visual approaches and posing open questions building towards a culture of collaboration, productive struggles and critical thinking. 24 CODE & LEVEL T3.02 J/I TITLE Some Big Ideas About Measurement: Grades 6 - 9 PRESENTER(S) David Zimmer John Rodger Dwight Stead DESCRIPTION THIS IS A DOUBLE SESSION. We often ask students in grade 8 or grade 9 math classes "What is area?" and receive responses listing all the formulas they know. For many students, perimeter, area and volume are just formulas and the units are arbitrary and without meaning. Clearly this is a problem for students, but how often do teachers consider how various measurement concepts are developed in previous grades, let alone in subsequent grades, and why? We present some fundamental ideas about measurement in three workshops, each of which focuses on a particular grade band. Participants will have sufficient time to engage in activities and discuss connections between measurement ideas that are particularly relevant to the grades they teach. Where it makes sense, we will reach back to previous grades or ahead to highlight how these ideas connect to prior or future learning. Join us, for an opportunity to build on your existing mathematical knowledge for teaching measurement, by exploring a variety of activities designed to demonstrate the initial development of concepts of perimeter, area and volume from Grades 6 - 9. This will be followed by activities and discussion designed to link measurement ideas to concepts in other strands. T3.03 I/S I’m Flipping my classroom, exposing my students to Blended eLearning, and LOVING every DIGITAL minute of my math classes! Larry Romano This humour-filled, non-threatening HANDS-ON workshop is offered in lovingkindness and in the spirit of compassionate livelihood for anyone interested in The Flipped Classroom. Learn how to integrate interactive and engaging technology via Desire2Learn (D2L), tweeting and McGraw Hill Ryerson's CONNECTschool into your Flipped and/or BYOD Classroom. Warning: Flipping your classroom is dangerously enjoyable, addictive, and can lead to significant learning! Prerequisite: A sense of humour and the ability to laugh and learn simultaneously. Nota Bene: If the ingredients of this workshop were listed on the classroom door the first one would be LOVE! T3.04 J/I Uncomplicating Algebra at the Junior and Intermediate Levels Marian Small You will have an opportunity to look at algebraic thinking in some new and different ways as a participant in this session. Some of the things we will address include: • a broader notion of what algebra actually is • cultivating algebraic thinking using visuals • clarifying the concept of equality • clarifying the concept of variable • cultivating a deeper understanding of algebraic expressions; building symbol sense • infusing algebraic thinking into work in the other strands 25 CODE & LEVEL T3.05 K/P/J/I/S TITLE Ministry Developed Digital Learning Resources PRESENTER(S) Agnes Grafton DESCRIPTION Join us for a look at activities, tools, games and other digital learning resources that can be accessed from mathies.ca, including CLIPS and ePractice. These resources are freely available and created for Ontario teachers. Research indicates that the variety of visual representations, immediate feedback and multiple opportunities for practice make digital resources effective in improving student understanding. <BR> Stay and explore Ministry of Education Mathematics K-12 Resources, including: EduGAINS – Mathematics K-12, mathies, Ontario Education Resource Bank (OERB), Blended Learning packages, ministry licensed digital supports, Homework Help, Critical Learning Instructional Path Supports (CLIPS), Gap Closing and ePractice, Financial Literacy, lesson planning supports, and resources to support professional learning facilitators of mathematics. T3.06 S/PS Build a better world with Calculus Michael Chan This seminar offers interesting methods of challenging MCV4U students to work on Calculus with a positive mindset. This is the complementary series of VectorMCV4U (presented in OAME2014). While VectorMCV4U deals with Vectors, CalcMCV4U provides challenges in Fundamental Calculus. My students enjoyed these interactive challenges more than the traditional pen/paper methods. During this session you shall have a taste of the challenges I gave to my classes. Problems given in this application are practical and environmental awakening. Hopefully students could engage mathematics to make a better world. After the problem solving exercises, you could walk away with a copy of all these challenges in your memory stick ready to be used in your own classes. T3.07 I/S Cheap CGI: Using GeoGebra for Computer Generated Imagery ROLAND MEISEL Films such as Star Wars or The Hobbit create many of their special effects using Computer Generated Imagery. You can use The GeoGebra to produce similar CGI effects. Bring a laptop or tablet with the free GeoGebra App (www.geogebra.org) installed to participate in hands-on activities. CGI effects such as morphing, animating a figure, appearance/disappearance of objects and 3D effects will be created and linked to the underlying mathematics. Some previous experience with GeoGebra is helpful but not essential. T3.08 P/J Using a continuum of math for feedback and self-assessment Jennifer Capitani In this session, we will explore how primary students used a continuum of showing your thinking in math to assess their own work and improve upon it. We will look closely at the impact of using success criteria in math, how to support students to identify where criteria are being met in their work, and how the continuum itself was created. The tools and processes used in the development of the continuum will be shared as well. 26 CODE & LEVEL T3.09 I/S TITLE Some Concepts and Problems Seem Much More Difficult Than They Really Are. PRESENTER(S) Varvara Nika DESCRIPTION Multiple representations of concepts enhance student’s learning and understanding and increase student engagement. In this workshop teachers will explore and investigate how to develop math content and pedagogical knowledge. Teachers will be presented with rich problem-solving experiences as central to students’ learning of mathematics. Through a variety of approaches they will experience how to increase opportunities for the use of critical thinking in their classrooms. T3.10 P/J Self-Directed Professional Development in Elementary Mathematics Education Chloe Weir This presentation will highlight self-directed professional development in elementary mathematics education. Self-directed professional development which is "professional development arising from the teacher's own initiative" can facilitate teachers' growth in mathematics education (Mushayikwa & Lubben, 2009; Chapman, 2013). Teacher competence to facilitate student performance is closely aligned to professional development and focusing on elementary teachers is fundamental as an early start is critical in developing students' interest in mathematics. This presentation will not be promoting or selling any product. T3.11 K/P Practical Ways to Enhance Young Children’s Spatial Reasoning Tara Flynn Researchers and JK-Grade 2 educators in the Math for Young Children Project (Trent University/OISE) have worked together for 4 years to investigate young children’s spatial reasoning. Through this research activity, we have designed and tested a multitude of tasks to build spatial reasoning with children ages 4-8. The tasks are playful, and use a variety of classroom structures (whole group, small group and centres). Research over 4 years has proven these tasks improve children’s spatial reasoning, and has also shown that children are capable of incredible thinking and reasoning given rich spatial tasks and materials to work with. Looking at children’s spatial abilities gives us another window into their thinking, and fostering spatial reasoning provides more entry points to mathematics for all learners. This session will provide an overview of the research on spatial reasoning and mathematics with young children, and will be primarily focused on hands-on activities where participants will have opportunities to think spatially by trying a variety of student tasks. 27 CODE & LEVEL T3.12 K/P/J TITLE Inclusive Classroom Practices = Math for All PRESENTER(S) Michele Cooper DESCRIPTION The focus of this workshop is on how to effectively implement strategies in the mathematics classroom to provide sensory experiences that support students with special needs on multiple levels. We will explore various strategies that cater to all learning types, including kinaesthetic/tactile, auditory and visual – each of which is greatly important to the learning development processes of children with special needs, and featuring Concrete-Representational-Abstract Techniques: a three-part instructional strategy where the teacher uses concrete materials (manipulatives) to model a concept to be learned, then uses representational terms (pictures), and finally uses abstract, symbolic terms (numbers, math symbols). T3.13 I/S Algebraic Reasoning - a community affair Vikki Dunn At Kawartha Pine Ridge DSB, we have been building student competencies with algebraic reasoning in the intermediate grades by building teacher understanding and collaboration across schools. 2014-15 marks year two of this project and we have focused the student learning around solving equations and justification of thinking. This session will highlight the cross school process, the resource of choice and the math in which we engaged. T3.14 S FREE Online Ontario Mathematics Courseware Mike Eden The University of Waterloo has created free, open, online teaching/learning resources for each of Ontario's Grade 12 Advanced Functions, and Grade 12 Calculus and Vectors courses. These will include text, audio, imbedded quizzes, interactive worksheets, student exercises and solutions. Come and see what teachers are so excited about! T3.15 P/J/I Building Computational Fluency with MiniLessons, Strings, and/or Number of the Day Glynnis Fleming Bothered by the fact that her low SES students lacked computational fluency and persistently counted on their fingers for the simplest of calculations, Melanie undertook to really do something about it! With her friend and colleague's support, along with her new learning following a Fosnot Institute, Melanie has transformed her own practice and dramatically improved her students' computational fluency and "can do" attitude toward math. You can do it with your students, too! Please come and join us as we share all of the practical, classroom-ready highlights of our journey! 28 CODE & LEVEL T3.16 K/P/J/I/S TITLE Assessment for Learning Using TI Navigator PRESENTER(S) Fred Ferneyhough DESCRIPTION Assessment for Learning is the new terminology for formative assessment. The Growing Success document outlines seven fundamental principles that teachers should keep in mind for this purpose. But how do teachers add this to classrooms that are already under time pressures from so many different demands, balancing the needs of all students and providing feedback in a timely manner? How do we handle the demands and needs of students who are frequently absent? See how TI Nspire Navigator is an ideal tool to gather assessment data during lessons to inform the teacher of gaps or misconceptions and provide prompt feedback to students. T3.17 J/I/S Math and science brought together by the outdoors. TIM SIBBALD Science is relatively simple to find outdoors, but what about using math skills outdoors? Perhaps the key is a STEM approach, which brings the math you teach to bear on outdoor science. This session will take place outdoors and will focus on various measuring tasks that can be used with your classes. A tent will be used if there is inclement weather. Please note that the session will not be wheelchair accessible but will accommodate participants with limited physical capacity. T3.18 K/P/J/I/S Understanding the continuum of algebraic thinking from K – 12 Chris Suurtamm Martha Koch This workshop is suitable (and a must!) for teachers of any grade of mathematics. We will focus on developing students’ algebraic thinking from K – 12. We will look at key algebraic concepts that are developed in the early years and see how they connect to higher grade algebraic thinking. Examining this continuum of learning will assist both elementary and secondary teachers in their work. We will be working with the curriculum, algebraic tasks that could be done at many levels, student work, and classroom videos. T3.19 P/J/I What do EQAO Mathematics Questions Tell Us? Ann-Mari Maatta Questions on the EQAO mathematics assessments, that are released, provide information to educators. EQAO will share some questions that did not work statistically, from the Primary and Junior divisions, and from the Grade 9 Applied and Academic Assessments, that have not been released. These questions were fieldtested, but then not used further to count towards a student’s score. Participants will consider what information they can learn about students from these questions and discuss why questions are not used. EQAO will also provide participants with a summary of EQAO’s processes, which show the life of a question. 29 CODE & LEVEL T3.20 P/J/I/S TITLE Gizmos- Improve Conceptual Understanding While Building Positive Mindsets in Math PRESENTER(S) Saarah Jasim DESCRIPTION Learn how online Gizmos simulations help teachers take advantage of researchproven instructional strategies and help students of all ability levels develop conceptual understanding and build positive mindsets in mathematics. Teachers can supplement and enhance instruction with powerful interactive visualizations of concepts. Students can manipulate key variables, generate and test hypotheses, and engage in extensive “what-if” experimentation. T3.21 I/S I-pad in Applied Mathematics Classes Dean Netto This hands on session will provide teachers with opportunity to work on mathematics problems using technology and will encourage teachers to discuss various strategies leading to improve students’ problem solving skills. We will be introducing apps such as Desmos, Algebra Touch, Explain Everything, Math Pad, and DragonBox Algebra. Samples of i-pad lessons will be shared with participants. T3.22 I/S Developing Creativity and Problem Solving Ashley Nahornick This session will look at how students solve open ended real-world problems. I conducted a study through the Halton District School Board where students were asked to solve open ended non-routine mathematics problems either in a group or individually. After briefly describing the study, I will discuss the students' experience with working with a different type of mathematics problem and potential lessons to educators. The goal will be to use students' responses to help foster creative thinking when students work through unfamiliar mathematics problems. T3.23 K/P/J/I/S Building Positive Mindsets with Math Fairs Jimmy Pai Math fairs offer students opportunities to interact with mathematics in different ways. Student create, display, and solve mathematical problems in a relaxed and fun atmosphere. This interactive hands-on approach allows students to build a good relationship with the subject, as well as develop a positive culture. Instead of being passive receivers of knowledge, students actively engage in dynamic problem solving that involves productive struggle. Student engagement with interesting and fun problems helps to develop a growth mindset towards mathematics. In this session, you will have an opportunity to interact with some math fair problems that would be appropriate for grades K - 12. We will also discuss the components of math fairs and share our experiences with connecting math fair problems to the Ontario curriculum, including the 7 mathematical processes and the content expectations. 30 CODE & LEVEL T3.24 I/S TITLE Learning Skills in the classroom, and their relevance with knowingto in a mathematical mindset PRESENTER(S) Jamie Pyper DESCRIPTION For this session, the intermediate/senior mathematics classroom is the context, and the seamless integration of Learning Skills into the daily teaching and learning experiences will be the focus. This session will construct a trajectory of conceptual and practical points for teachers of mathematics to notice the interconnections and inter-dependencies of these key points. A wall-mounted Learning Skills rubric is presented, and a method of tracking Learning Skills in an authentic and formative (or assessment for and as learning) feedback manner while developing mathematical habits of mind will also be explored. An underlying motivation for this session is that thinking of mathematics as a verb rather than a noun supports an active knowledge rather than an inert knowledge. We often find it exciting when we feel we can do something with mathematical knowledge. To feel able to do something means we know to act. Additionally, ‘knowing-to’ act requires intention and attention. This intention and attention may develop into a mathematical habit of mind.</br> Developing mathematical habits of mind is a fundamental sociological and psychological process through which one comes to ‘know-to’ act at any particular moment. There are a number of insightful similar themes that also align with the Ontario curriculum processes such as reasoning, connecting, representing, communicating, etc. For example, problem solving as a mathematical process and as a mathematical habit of mind is another possible connection. Often such actions require skills such as responsibility, organization, initiative, and self-regulation. These are a subset of the skills identified as Learning Skills for the Ontario curriculum. T3.25 J/I/S Make Math Visual: Making Connections From Concrete to Abstract Kyle Pearce Embark on a journey of creating a digital learning environment in a secondary one-toone iPad math class to effectively deliver a 4-part math lesson utilizing real world math tasks and visual animations to effectively scaffold students from concrete representations of mathematics to abstract representations involving algebra. T3.26 J/I/S What To Do When They Don't Know What To Do Peter Bertelsen There are lots of opportunities to support and develop problem solving skills once students engage in rich problems. But what do we do when they don't know what to do? This session explores strategies to build skills to help students through the stages of understanding and exploring problems. Problems, Manipulatives, Technology and Collaboration will be the tools to strengthen our Assessment FOR Learning arsenal. 31 CODE & LEVEL T3.27 J/I TITLE Student Voice, Mindset and Assessment PRESENTER(S) Kimberly Simpson DESCRIPTION Presenters will share their varied classroom experiences based on student work study-like collaborative inquiry with host teachers. The focus will be on identifying the conditions for revealing student thinking and using pedagogical documentation to explore student mindset and its impact on assessment/student learning. T3.28 Creating Foldables in the Mathematics Classroom Priscilla Nelson Creating math foldables is a fun way to consolidate math information and knowledge. Foldables incorporate the use of such skills as comparing and contrasting, recognizing cause and effect, and finding similarities and differences. They can be used as alternative assessment tool by teachers to evaluate student progress. Creating foldables also allows for different student strengths. They incorporate other skills such as language, the arts, personal creativity and social science. We will share our experiences and the methods on how to create the foldables. T3.29 I/S How Can I Build Mathematical Mindsets through Assessments of Conversation and Observation? First 20 Days of Math Stephanie Girvan Sharon Young Balanced assessments involve conversations, observations, and products. Come to this session to learn more about how to use conversations and observations to assess secondary school student mathematics and build positive mathematical mindsets. Participants will leave with classroom-tested strategies and materials. Tisha Nelson During this workshop, participants will be guided through a variety of activities they can “try tomorrow” in establishing a community of mathematicians in the Primary/Junior Grades. The notion of First 20 Days of Math is adapted from Fountas & Pinnell’s The First 20 days of Independent Reading with the goal of nurturing a growth mindset for mathematics learning. Participants will explore the role of the classroom as the 3rd teacher and engage in a variety of activities they can try with their students in to address attitudes and dispositions towards mathematics, establish classroom norms for mathematical inquiry and invite students to view themselves as mathematicians. Participants will also be guided in establishing their unique version of the First 20 Days of Math for use in their own class. Engage, Manipulate, Build, Tier, Reflect .. to OWN Fractions Sandra Chow Joshua Pigeon Rudy Neufeld THIS IS A PRODUCT SESSION. We will model conceptual procedures aligned to Ontario Expectations which stimulate learning through approaches adaptable to the regular classroom and intervention. We will model fraction operations with multiple entry points and seamless integration to support both content and instruction (grades 3 to 5). Our objective is to change the mindset from "remember how" to "understand why". T3.30 P/J T3.31 J/I 32 CODE & LEVEL T3.32 J/I/S TITLE The Right Angle: First Math Store/School In North America T4.00 T4.01 J/I/S/PS LUNCH Featured Session: Beyond the Chapter Test PRESENTER(S) Sunil Singh Damian Cooper DESCRIPTION THIS IS A PRODUCT SESSION. The Right Angle is a unique exploratorium for mathematics located in the beautiful Heritage District of Markham, Ontario. It is fronted by a very specialized store that sells mathematical games and puzzles from all over the world. There is a large lounge area for people to freely engage with these items. The jewel of the space is the Math School. It is has been designed to facilitate school visits to illuminate the scope and beauty of mathematics for students and teachers. The physical design of the school reflects all the key learning modalities-social, experiential, visual, auditory, verbal and logical. The programs/demonstrations are aligned with STEM initiatives and delve deeply into areas not explored in traditional schools--number theory, graph theory, game theory, binary, history, enriched algebra, recreational mathematics and current endeavors. The Right Angle's philosophy is rooted in making mathematics fun for everyone. As such, great care has been taken to make the space colourful and the math explorations whimsical. This session will be a detailed presentation of the school, its programming, philosophy and academic support from across North America. The Right Angle has partnered up with Queens University's Faculty of Education. A representative from the School will be there to speak of this partnership. Second of 2 available lunch time slots The research evidence that supports the power of formative assessment, over summative evidence, as a means of deepening learning for students is compelling and growing. If the goal of teaching is improved student learning, then a balanced approach to assessment in mathematics is essential. But what do we mean by “balance”? We need develop assessment plans that balance HOW we assess learning: students demonstrating their understanding and skills through performance assessments; students talking about their growing understanding – or lack thereof! – and, of course, when appropriate, students communicating their learning through written evidence. But written evidence must comprise a much richer range of formats than quizzes and tests. An equally important feature of an effective assessment plan involves the balance between the formative and summative components. Since we know that formative assessment has a far greater impact on improving learning than summative assessment, why do summative tasks – and particularly tests – continue to be the most pervasive assessment strategy? It’s time to “move beyond the chapter test”. 33 CODE & LEVEL T4.02 J/I TITLE Some Big Ideas About Measurement: Grades 6 - 9 PRESENTER(S) David Zimmer John Rodger Dwight Stead DESCRIPTION THIS IS A DOUBLE SESSION. We often ask students in grade 8 or grade 9 math classes "What is area?" and receive responses listing all the formulas they know. For many students, perimeter, area and volume are just formulas and the units are arbitrary and without meaning. Clearly this is a problem for students, but how often do teachers consider how various measurement concepts are developed in previous grades, let alone in subsequent grades, and why? We present some fundamental ideas about measurement in three workshops, each of which focuses on a particular grade band. Participants will have sufficient time to engage in activities and discuss connections between measurement ideas that are particularly relevant to the grades they teach. Where it makes sense, we will reach back to previous grades or ahead to highlight how these ideas connect to prior or future learning. Join us, for an opportunity to build on your existing mathematical knowledge for teaching measurement, by exploring a variety of activities designed to demonstrate the initial development of concepts of perimeter, area and volume from Grades 6 - 9. This will be followed by activities and discussion designed to link measurement ideas to concepts in other strands. T4.03 K/P M2 = Manipulative Madness in the Early Years! Melissa Seco THIS IS A DOUBLE SESSION. This session will focus on building mathematical knowledge for teaching students in the early years through the use of problem solving with manipulatives in a 3 Part lesson format and through learning centers. Educators will explore a variety of problems from all 5 strands and how it connects to the K-2 program/curriculum expectations. In this hands on session, educators will leave with a collections of materials to use right back in their classroom! T4.04 K/P Changing kindergarten block play programs to promote rigourous mathematics and spatial development for ALL children DIANE TEPYLO Evidence is increasingly pointing to the importance of spatial reasoning to mathematics, a relationship that is established by kindergarten and continues through university. This session examines how a play-based block building program in kindergarten builds both spatial and mathematical thinking for every student in the classroom. Participants will leave with clear understanding of how block building develops and an framework for developing a rigorous, engaging block program. 34 CODE & LEVEL T4.05 I/S TITLE Math Trails: Seeing, doing and talking about math outside of the classroom PRESENTER(S) Ron Lancaster Judy Mendaglio DESCRIPTION THIS IS A DOUBLE SESSION. Join us for a mathematical walk on the campus of Humber College North and experience for yourself the benefits of viewing the world through a mathematical lens; collaborating with others to pose and answer questions related to the world around us; talking about mathematics and getting some physical exercise. Your students will not be able to join us at the conference, but they will be able to join you in the future on a trail that you will be inspired to create with them on the campus of your school or almost anywhere. Your Math Trail will help your students value mathematics for its relevancy, applicability, beauty and universality. You and your students will never see the world the same way again. T4.06 K/P/J/I/S EduGAINS Mathematics Website Sandy DiLena Join us for a look at the EduGAINS – Mathematics website. Resources found there are organized by role: classroom education, school leader, system leader and professional learning facilitator.<BR> Stay and explore Ministry of Education Mathematics K-12 Resources, including: EduGAINS – Mathematics K-12, mathies, Ontario Education Resource Bank (OERB), Blended Learning packages, ministry licensed digital supports, Homework Help, Critical Learning Instructional Path Supports (CLIPS), Gap Closing and ePractice, Financial Literacy, lesson planning supports, and resources to support professional learning facilitators of mathematics. T4.07 J/I/S Tactile Tactics in the great outdoors TIM SIBBALD THIS IS A DOUBLE SESSION. Are you of a mindset willing to consider how the outdoors can enrich your math classroom? This double session will use the arboretum as a classroom. A series of activities will demonstrate some possibilities that will be thought-provoking regarding the opportunity to use the outdoors for math. Activities will use skills from different grade levels but can be tuned into a particular grade level as needed. A tent will be used if there is inclement weather. Please note that the session will not be wheelchair accessible and that participants will be need to walk a couple of kilometers. T4.08 I/S Maximizing Your Graphing Technology in Everyday Practice Darryl Marchand THIS IS A PRODUCT SESSION. THIS IS A DOUBLE SESSION. Come and see how to integrate TI graphing technology into everyday pedagogy practices. With free resources and tools, teachers can easily incorporate recommended technology as a learning tool to let students discover, explore and share. Activities will be shown that teachers can use Monday. All participants will receive a 1 year license copy of TINspire Teacher software. 35 CODE & LEVEL T4.09 P/J TITLE How Does Teaching Through Problem Solving Promote a Growth Mindset? PRESENTER(S) Bart Vanslack DESCRIPTION THIS IS A DOUBLE SESSION. In this session, participants will explore growth mindset research and investigate strategies to develop it in the math classroom. Also, participants will experience teaching and learning through problem solving and explore ways problem solving helps students embrace a growth mindset. T4.10 K/P/J How Do We Include First Nations Perspectives in the Mathematics Classroom? Ruth Beatty THIS IS A DOUBLE SESSION. During this interactive session we will explore various First Nations cultural practices that support students’ mathematical thinking. We will engage in activities with a focus on identifying and highlighting their mathematics potential. We will also view video recordings of student thinking, and discuss how to meaningfully include First Nations perspectives in the mathematics classroom. T4.11 I/S BYOD Classroom/ Mastery Learning Tina Balfe THIS IS A DOUBLE SESSION. Meet your students where they are: engage them with “Bring Your Own Device!” Over the past two years, we have shifted our math classes (1D/1P, 2P, 3M, 4U) away from teacher-centred learning and toward independent, proficiency-based learning through the introduction of BYOD. Our students are now learning at their own pace, with less focus on marks, and by methods suited to each of their learning preferences. We will share our successes (and failures!) on implementing BYOD, and will open the session up for discussion on strategies that would work best to bring BYOD into your classrooms. We will discuss lesson delivery through a Google Docs platform as well as through a D2L platform, along with the variation between applied and academic curriculum delivery. T4.12 S Census at School for MDM4U Alison Gibbs Census at School is a free interactive, international online project designed to engage students in grades 4 through 12 in statistical thinking and data analysis. Each year, 1000s of Ontario students contribute information about themselves to the database and carry out statistical investigations on data from their class and data from children around the world. Most of the participating Ontario students are elementary students, but Census at School also offers opportunities for rich and meaningful investigations appropriate for students in MDM4U. In this hands-on workshop, we will demonstrate how Census at School can serve as a central resource for seniorlevel data management educators. Teachers will be introduced to both the Canadian and International Census at School projects, and will be guided through a series of activities for their MDM4U students, designed to directly address learning expectations throughout the course. 36 CODE & LEVEL T4.13 J/I/S TITLE Communication in the 21st Century Math Classroom PRESENTER(S) T4.14 J/I/S Choosing and Using Web-Based Learning Tools for the Mathematics Classroom Robin Kay THIS IS A DOUBLE SESSION. Web-Based Learning Tools (WBLTs) are readily available, easy to use online tools that can help students gain a better understanding of specific course related concepts, often through the use of visual supports. Participants in this hands-on workshop will leave with a solid understanding of how to select and use WBLTs effectively in the mathematics classroom. The emphasis will be on effective pedagogy to maximize learning. WBLTs can be used with a projector, Smart Board, or at home, so limited computer-lab time need not be a barrier. Finally, participants will be given a set of easy-to-use resources to help them begin using WBLTs in their classrooms. T4.15 J Frog Jumping – A Whole New Algebraic Experience Keith Van De Keere THIS IS A DOUBLE SESSION. Research suggests that an open number line helps students see algebraic relationships. In this workshop, teachers will be asked to look at algebra in a very different light. We will look at the big ideas behind algebra and show how kids can both see and show the math rather than just memorize and reproduce a procedure. Mishaal Surti Tricia Loney DESCRIPTION THIS IS A DOUBLE SESSION. Today's math classroom is no longer the 'paper and pencil' environment of the past. Teachers are now using technology to help our students find and show their voice in their learning. In this session, participants will learn new ideas about how to use mobile devices and Web 2.0 resources to engage students in effective mathematical communication. Some ideas will include using screencasts (Educreations/Explain Everything) and annotated images (Skitch) for student created communication videos and photos, and Poll Everywhere, Popplet, and Lino to help students connect and share their understanding. Please come to this session with your favourite mobile device/tablet, and ready to play! 37 CODE & LEVEL T4.16 J/I TITLE Classroom Research in Fractions: Insights on a Fractions Learning Trajectory and CLIPS Supports PRESENTER(S) Agnes Grafton T4.17 I Building Mental Math Strategies ROSE SALERNO THIS IS A DOUBLE SESSION. We all use mental math on a daily basis. We use it at the grocery store, when figuring out how much time it will take to get ready for work, and perhaps how long it will be to our next vacation. This session will focus on supporting students in building mental math strategies for the 4 operations, addition, subtraction, multiplication and division. Once students have the foundational knowledge and understanding of working with numbers they will begin to become more confident in using mental math on a daily basis. T4.18 I/S Supporting a Growth Mindset Through the Use of Descriptive Feedback CAROL SHIFFMAN THIS IS A DOUBLE SESSION. You've heard of descriptive feedback but do you really know what it is? Do you know what it looks like in a secondary Math classroom? This hands-on workshop will illustrate the link between using descriptive feedback and supporting a growth mindset in your students. Participants will engage in activities that contrast descriptive and evaluative feedback, discussion about promoting a growth mindset in Math for students by providing "feedback that feeds forward," and practice with real student examples when considering feedback that addresses student misconceptions, student thinking and teaching through problem solving.​ Cheryl McGinnis Scott Dowling DESCRIPTION THIS IS A DOUBLE SESSION. Fractions are a difficult-to-learn and difficult-to-teach concept. Three years of research in Ontario classrooms have provided significant insight into strategies for increasing student understanding of fractions. Classroom research is showing how an instructional focus on conceptual understanding helps students to transition to operations with fractions. This session will highlight student thinking and responses to the rich tasks developed through classroom research (activities designed to support students in acquiring critical foundational understandings about fractions) as well to the numerous CLIPS tools, activities, and games available. Presenters will share research findings, including a learning trajectory in fractions currently in development, and discuss the implications for practice, allowing participants to connect this work directly to their context. Participants will have time to unpack student thinking and to explore CLIPS. CLIPS are digital learning resources created for Ontario teachers freely available at mathclips.ca. 38 CODE & LEVEL T4.19 I/S TITLE Spiralling deeper with activity-based learning PRESENTER(S) BRUCE MCLAURIN DESCRIPTION THIS IS A DOUBLE SESSION. We have improved student mindset and increased student engagement by making hands-on activities the heart of our practice. We spiral through the curriculum, repeating the big ideas throughout the course to allow students multiple opportunities to extend their learning and demonstrate their understanding. We don't constrain learning within units of study. Our activities often connect two or more strands. In this session we will share the activities that have allowed us to change our practice and improve student performance. T4.20 P/J/I Balanced Mathematics Kristen MuscatFennell Balanced Mathematics is a differentiated instructional framework designed to promote positive math mindsets in our students and to develop their thinking and communication skills. This session will introduce you to the components of the Balanced Math framework, including guided math, shared problem solving, math journals, independent problem solving, math games and math facts. Sample learning goals, success criteria, assessments, rotations and adaptations for the Primary through Intermediate divisions will be shared. This work is a culmination of the Ministry of Education’s Teacher Learning and Leadership Program (TLLP) and the Provincial Knowledge Exchange (PKE). T4.21 P/J/I Accountable Talk and Questioning: The development of Fraction Strategies, Big Ideas and Models Jonathan So Margaret Allen THIS IS A DOUBLE SESSION. Developing an accountable math community of learners equips students with the tools to struggle through intentional questioning and participate in the social construction of mathematical knowledge. Participants will work through a fraction problem, analyze the strategies, big ideas and models developed to construct an understanding. There will be an opportunity to observe students on video doing the same. T4.22 I/S/PS Getting Started for the TI-Nspire CAS App for iPad Jerry Scherer THIS IS A DOUBLE SESSION. In this hands-on session, participants will learn the basic features of the six applications of the TI-Nspire CAS App for iPad. These tutorial documents are ideal for classroom use. All instructions with keystroke sequences are provided on the iPad. The handheld version of these files will also be available. T4.23 I/S Making Thinking Visible in Secondary Mathematics Engy Boutros How can we use different tools to help promote and encourage students to show their thinking and ultimately become better at problem solving, collaboration and gaining confidence in math class? In this interactive session, teachers can get a hands on look at some of the 21st century teaching and learning strategies that can be used to help make student thinking visible. 39 CODE & LEVEL T4.24 I/S TITLE Successful Secondary eLearning Math Strategies PRESENTER(S) Sharon Korpan DESCRIPTION This session features strategies and tips for creating successful e-learning secondary math classes. Find out about Ministry provided e-Learning math content within the provincially licensed Virtual Learning Environment. Topics will include strategies for assessment, meeting the needs of identified learners, as well as, creating safe, collaborative, reflective communities of learning for secondary math students, all in an online environment. T4.25 I Calculating Our Future: Math Lessons on the Environment and Society Chris Clovis Show students how to apply math skills to understand and solve challenges to our natural environment and human well-being. Engage in interdisciplinary hands-on activities that address science and social studies themes – population growth, resource use, health and education – while working on measurement, algebra, and more. T4.26 P The First Days of Math Jennifer Grosvenor An introduction to a unit that was created out of a recognized need for students in the primary grades to be explicitly taught the mathematical process skills in order to be successful with the math content. This unit provides teachers with the opportunity to assess student skills in mathematical processing as well as in content. It is meant to lay a foundation of skills that students will then continue to practice and hone as they work through the math content as well as help to give direction for planning instruction. T4.27 I/S Investigating Parent Functions Through Transformations Terry Walsh THIS IS A PRODUCT SESSION. In this session, participants will investigate parent functions and their transformations using the MODIFY and DYNAMIC features of Casio PRIZM calculators. Participants will be shown how to use the MODIFY and DYNAMIC capabilities of the PRIZM, then have a chance to investigate questions that they can use to deepen student understanding of all of the "Parent" functions. Participants will leave with lists of questions for students regarding linear, quadratic, exponential, square root, and sinusoidal Parent functions. 40 CODE & LEVEL T4.28 S TITLE The Best Canadian Health Microdata for MDM4U PRESENTER(S) Patricia Misner DESCRIPTION THIS IS A DOUBLE SESSION. We will provide all participants in this workshop with hands-on experience on how to use the provincially licensed edition of a very useful, easy-to-use CD-ROM containing over 2,000 variables from the Canadian Community Health Survey (CCHS). This survey of 130,000 Canadians facilitates detailed analysis and cross-tabulations of the many health and demographic variables available at the health district level. At this hands-on workshop, teachers will learn how to use this data with Beyond 20/20 and also receive a package of teacher materials that have proven useful in implementing use of this data in MDM classes across Ontario. Those wishing to follow along with the demonstration are encouraged to bring a PC to install the software. T4.29 J/I/S/PS Positively Fluid Changing Classroom Mindsets on Assessment and Supporting Students with Special Needs PAUL COSTA Come experience how we use interactive technologies in our math classrooms to facilitate both formative and summative assessment and give instant feedback within a “learning for all” environment. We will show you how we're using a revolutionary new cloud-based platform, ClassFlow, to make lesson planning and assessment more efficient and lesson delivery more impactful. Discover how we personalize the learning for students of various abilities using tools in this web application. We’ll also share how we are connecting iOS or android devices: tablets (iPads), Chromebooks, laptops, interactive whiteboards and learner response devices (aka clickers) to create a multi-modal, connected, collaborative classroom. Please bring your own devices if you would like to interact with us in the session. T4.30 I/S Rethinking Math Class Mary Bourassa THIS IS A DOUBLE SESSION. What should math class look like? How do we foster student engagement? What warm up activities will improve number sense, develop a growth mindset and get students thinking about math? What does good feedback look like? How can you provide formative assessment that isn’t a quiz? What activities hook students and make them want to do the math? What is the role of technologies like Desmos, graphing calculators, apps, etc.? Do our evaluations match how we teach? In this session, you will have the opportunity to try out some activities, share your favourites and engage in meaningful discussions intended to help us all be better teachers. 41 CODE & LEVEL TITLE T4.ThreadConcept Thread: Concept Study: K/P/J/I/S/PS Teachers CoConstructing Mathematics PRESENTER(S) KATHY KUBOTAZARIVNIJ Brent Davis DESCRIPTION If multiplication is repeated addition, how does one go about adding 1.2 to itself 3.4 times? Questions like these will be investigated through "Concept Study"-- a systematic set of research-based strategies collectively co-constructed by kindergarten to grade 12 teachers to deepen their own understanding of math content, while supporting their students' understanding. This thread consists of 5 sessions, including: T4-T5, F4-F5, and S3. T4.ThreadLD J/I Connie Gray Connie Quadrini Classroom teachers of mathematics, special education teachers, and professional learning facilitators are invited to participate in this innovative thread! Students with learning disabilities have average to above average cognitive ability and therefore great potential to learn mathematics. So what’s important to know and understand about the challenges that these students face when learning mathematics? This interactive session will provide educators with the opportunity to develop understanding of the profile of students with learning disabilities. Through experiencing math specific simulations, they will gain insights into the cognitive processes that impact students' mathematics learning. During this session, educators will apply new perspectives and insights gained as they work collaboratively to unpack the IEPs of students with learning disabilities through a mathematics lens, and analyze mathematical tasks and student thinking. In addition, they will consider next steps for student learning including selection of precise and personalized accommodations that leverage student strengths and respond to needs. Interventions for students with learning disabilities will be explored with a focus on assessing students' mathematical readiness, and selecting appropriate resources and supports that move these students forward in their mathematics learning. This thread consists of 5 sessions, including: T4-T5, F4-F5, and S3. Thread: Supporting Students with Learning Disabilities in Mathematics 42 CODE & LEVEL T4.ThreadTech J/I TITLE Thread: Manipulating Mathematical Thinking with Technology PRESENTER(S) CAROLINE ROSENBLOOM MIRELA CIOBANU DESCRIPTION In Session 1 of the thread: Manipulating Mathematical Thinking with Technology. As a novice or a tech-savvy educator, we will provide steps you can take to contextualize tool technologies in your mathematics instructional design. These strategies will deepen students’ ability to think critically as they participate as knowledgeable, reflective, creative and analytical members of a collaborative digital space. We will show how technology for instruction and assessment was used in our partnership project where students were part of a learning community to discover, explore, and conjecture about mathematical ideas collaboratively and cross-culturally. In Part 2 of this thread. Successful students can fluently “see” mathematical relationships. During this session, participants will engage in problem solving and use various models of representations, including the Singapore Model Drawing and the open number line model used in Japan. Additionally, we will explore how dynamic technologygenerated representations are easily manipulated to increase students’ ability to identify the relationships between known and unknown quantities in the problems they solve. We will share samples of collaboratively generated problem representations, as a result of the mathematical partnership created among various math classroom communities. In Part 3 of this thread we will show the role parents play as critical members in our learning partnership for student success. From parent engagement sessions to classroom blogs, we will explore different ways technology can be used to link the home and school to involve parents in our learning community. This thread consists of 5 sessions, including: T4-T5, F4-F5, and S3. BYOD for the full experience! T5.01 K/P/J/I/S/PS Featured Session: They can do it! Supporting all students’ mathematical thinking Chris Suurtamm All students are capable of engaging in mathematical thinking. This presentation will draw on research and practice to unpack the environments, the tasks, and the teacher moves that help to facilitate mathematical thinking with all students. Sample tasks, student responses, and teaching strategies will be shared. 43 CODE & LEVEL T5.02 I/S TITLE Some big ideas about measurement in 10-12 PRESENTER(S) David Zimmer John Rodger Dwight Stead DESCRIPTION We often ask students in grade 8 or grade 9 math classes "What is area?" and receive responses listing all the formulas they know. For many students, perimeter, area and volume are just formulas and the units are arbitrary and without meaning. Clearly this is a problem for students, but how often do teachers consider how various measurement concepts are developed in previous grades, let alone in subsequent grades, and why? We present some fundamental ideas about measurement in three workshops, each of which focuses on a particular grade band. Participants will have sufficient time to engage activities and discuss connections between measurement ideas that are particularly relevant to the grades they teach. Where it makes sense, we will reach back to previous grades or ahead to highlight how these ideas connect to prior or future learning. Join us, for an opportunity to build on your existing mathematical knowledge for teaching measurement, by exploring a variety of activities designed to demonstrate the initial development of concepts of perimeter, area and volume from 10 through grade 12. This will be followed by activities and discussion designed to link measurement ideas to concepts in other strands. T5.03 K/P M2 = Manipulative Madness in the Early Years! Melissa Seco THIS IS A DOUBLE SESSION. This session will focus on building mathematical knowledge for teaching students in the early years through the use of problem solving with manipulatives in a 3 Part lesson format and through learning centers. Educators will explore a variety of problems from all 5 strands and how it connects to the K-2 program/curriculum expectations. In this hands on session, educators will leave with a collections of materials to use right back in their classroom! T5.04 J/I/S/PS Moving Further Beyond the Chapter Test! Damian Cooper Join Damian in a follow-up discussion of his featured session. In this smaller venue, we will have the opportunity to share challenges and solutions. T5.05 I/S Math Trails: Seeing, doing and talking about math outside of the classroom Ron Lancaster Judy Mendaglio THIS IS A DOUBLE SESSION. Join us for a mathematical walk on the campus of Humber College North and experience for yourself the benefits of viewing the world through a mathematical lens; collaborating with others to pose and answer questions related to the world around us; talking about mathematics and getting some physical exercise. Your students will not be able to join us at the conference, but they will be able to join you in the future on a trail that you will be inspired to create with them on the campus of your school or almost anywhere. Your Math Trail will help your students value mathematics for its relevancy, applicability, beauty and universality. You and your students will never see the world the same way again. 44 CODE & LEVEL T5.06 K/P/J/I/S TITLE Blended Learning PRESENTER(S) Bea Meglio DESCRIPTION Join us to explore Blended Learning in K-12 Math. We will discuss the provincially licensed virtual learning environment (vLE), course content, customization, and other Ministry licensed software and resources. Come and hear how technology enabled learning and teaching can work for you and your students.<BR> Stay and explore Ministry of Education Mathematics K-12 Resources, including: EduGAINS – Mathematics K-12, mathies, Ontario Education Resource Bank (OERB), Blended Learning packages, ministry licensed digital supports, Homework Help, Critical Learning Instructional Path Supports (CLIPS), Gap Closing and ePractice, Financial Literacy, lesson planning supports, and resources to support professional learning facilitators of mathematics. T5.07 J/I/S Tactile Tactics in the great outdoors TIM SIBBALD THIS IS A DOUBLE SESSION. Are you of a mindset willing to consider how the outdoors can enrich your math classroom? This double session will use the arboretum as a classroom. A series of activities will demonstrate some possibilities that will be thought-provoking regarding the opportunity to use the outdoors for math. Activities will use skills from different grade levels but can be tuned into a particular grade level as needed. A tent will be used if there is inclement weather. Please note that the session will not be wheelchair accessible and that participants will be need to walk a couple of kilometers. T5.08 I/S Maximizing Your Graphing Technology in Everyday Practice Darryl Marchand THIS IS A PRODUCT SESSION. THIS IS A DOUBLE SESSION. Come and see how to integrate TI graphing technology into everyday pedagogy practices. With free resources and tools, teachers can easily incorporate recommended technology as a learning tool to let students discover, explore and share. Activities will be shown that teachers can use Monday. All participants will receive a 1 year license copy of TINspire Teacher software. T5.09 P/J How Does Teaching Through Problem Solving Promote a Growth Mindset? Wilma Simmons THIS IS A DOUBLE SESSION. In this session, participants will explore growth mindset research and investigate strategies to develop it in the math classroom. Also, participants will experience teaching and learning through problem solving and explore ways problem solving helps students embrace a growth mindset. T5.10 K/P/J How Do We Include First Nations Perspectives in the Mathematics Classroom? Ruth Beatty THIS IS A DOUBLE SESSION. During this interactive session we will explore various First Nations cultural practices that support students’ mathematical thinking. We will engage in activities with a focus on identifying and highlighting their mathematics potential. We will also view video recordings of student thinking, and discuss how to meaningfully include First Nations perspectives in the mathematics classroom. 45 CODE & LEVEL T5.11 I/S TITLE BYOD Classroom/ Mastery Learning PRESENTER(S) Tina Balfe DESCRIPTION THIS IS A DOUBLE SESSION. Meet your students where they are: engage them with “Bring Your Own Device!” Over the past two years, we have shifted our math classes (1D/1P, 2P, 3M, 4U) away from teacher-centred learning and toward independent, proficiency-based learning through the introduction of BYOD. Our students are now learning at their own pace, with less focus on marks, and by methods suited to each of their learning preferences. We will share our successes (and failures!) on implementing BYOD, and will open the session up for discussion on strategies that would work best to bring BYOD into your classrooms. We will discuss lesson delivery through a Google Docs platform as well as through a D2L platform, along with the variation between applied and academic curriculum delivery. T5.12 P/J Power Play Games for Teaching Place Value Jane Felling THIS IS A PRODUCT SESSION. Come prepared to play games that incorporate the use of cards, dice, and multi-sided place value dice, number lines. Games and strategies focus on: naming, ordering and comparing numbers, beginning rounding strategies, number patterns, expanded and standard form. Reproducible gameboards and student samples are provided and many practical strategies will be shared to help with this important part of the curriculum. T5.13 J/I/S Communication in the 21st Century Math Classroom Mishaal Surti Tricia Loney THIS IS A DOUBLE SESSION. Today's math classroom is no longer the 'paper and pencil' environment of the past. Teachers are now using technology to help our students find and show their voice in their learning. In this session, participants will learn new ideas about how to use mobile devices and Web 2.0 resources to engage students in effective mathematical communication. Some ideas will include using screencasts (Educreations/Explain Everything) and annotated images (Skitch) for student created communication videos and photos, and Poll Everywhere, Popplet, and Lino to help students connect and share their understanding. Please come to this session with your favourite mobile device/tablet, and ready to play! 46 CODE & LEVEL T5.14 J/I/S TITLE Choosing and Using Web-Based Learning Tools for the Mathematics Classroom PRESENTER(S) Robin Kay DESCRIPTION THIS IS A DOUBLE SESSION. Web-Based Learning Tools (WBLTs) are readily available, easy to use online tools that can help students gain a better understanding of specific course related concepts, often through the use of visual supports. Participants in this hands-on workshop will leave with a solid understanding of how to select and use WBLTs effectively in the mathematics classroom. The emphasis will be on effective pedagogy to maximize learning. WBLTs can be used with a projector, Smart Board, or at home, so limited computer-lab time need not be a barrier. Finally, participants will be given a set of easy-to-use resources to help them begin using WBLTs in their classrooms. T5.15 J Frog Jumping – A Whole New Algebraic Experience Keith Van De Keere THIS IS A DOUBLE SESSION. Research suggests that an open number line helps students see algebraic relationships. In this workshop, teachers will be asked to look at algebra in a very different light. We will look at the big ideas behind algebra and show how kids can both see and show the math rather than just memorize and reproduce a procedure. T5.16 J/I Classroom Research in Fractions: Insights on a Fractions Learning Trajectory and CLIPS Supports Agnes Grafton THIS IS A DOUBLE SESSION. Fractions are a difficult-to-learn and difficult-to-teach concept. Three years of research in Ontario classrooms have provided significant insight into strategies for increasing student understanding of fractions. Classroom research is showing how an instructional focus on conceptual understanding helps students to transition to operations with fractions. This session will highlight student thinking and responses to the rich tasks developed through classroom research (activities designed to support students in acquiring critical foundational understandings about fractions) as well to the numerous CLIPS tools, activities, and games available. Presenters will share research findings, including a learning trajectory in fractions currently in development, and discuss the implications for practice, allowing participants to connect this work directly to their context. Participants will have time to unpack student thinking and to explore CLIPS. CLIPS are digital learning resources created for Ontario teachers freely available at mathclips.ca. Cheryl McGinnis Scott Dowling 47 CODE & LEVEL T5.17 I TITLE Building Mental Math Strategies PRESENTER(S) ROSE SALERNO DESCRIPTION THIS IS A DOUBLE SESSION. We all use mental math on a daily basis. We use it at the grocery store, when figuring out how much time it will take to get ready for work, and perhaps how long it will be to our next vacation. This session will focus on supporting students in building mental math strategies for the 4 operations, addition, subtraction, multiplication and division. Once students have the foundational knowledge and understanding of working with numbers they will begin to become more confident in using mental math on a daily basis. T5.18 I/S Supporting a Growth Mindset Through the Use of Descriptive Feedback CAROL SHIFFMAN THIS IS A DOUBLE SESSION. You've heard of descriptive feedback but do you really know what it is? Do you know what it looks like in a secondary Math classroom? This hands-on workshop will illustrate the link between using descriptive feedback and supporting a growth mindset in your students. Participants will engage in activities that contrast descriptive and evaluative feedback, discussion about promoting a growth mindset in Math for students by providing "feedback that feeds forward," and practice with real student examples when considering feedback that addresses student misconceptions, student thinking and teaching through problem solving. T5.19 I/S Spiralling deeper with activity-based learning BRUCE MCLAURIN THIS IS A DOUBLE SESSION. We have improved student mindset and increased student engagement by making hands-on activities the heart of our practice. We spiral through the curriculum, repeating the big ideas throughout the course to allow students multiple opportunities to extend their learning and demonstrate their understanding. We don't constrain learning within units of study. Our activities often connect two or more strands. In this session we will share the activities that have allowed us to change our practice and improve student performance. T5.20 P/J/I Leveraging Digital to Accelerate Student Learning in Mathematics by Making Thinking Visible and Fostering Adaptive Mathematical Mindsets. Kristen MuscatFennell Wondering how you might maximize the use of digital tools to capture evidence of student thinking? Or how to support growth mindset and the assessment and sharing of student work? Join us for this session and build your digital toolbox. We will explore a variety of tools, such as Google Apps for Education and Educreations and how they can be used to capture student voice and support learning through deep learning tasks. Student artifacts collected during classroom-embedded numeracy inquiries will be shared. Let’s discover the possibilities together! 48 CODE & LEVEL T5.21 P/J/I TITLE Accountable Talk and Questioning: The development of Fraction Strategies, Big Ideas and Models PRESENTER(S) Jonathan So Margaret Allen DESCRIPTION THIS IS A DOUBLE SESSION. Developing an accountable math community of learners equips students with the tools to struggle through intentional questioning and participate in the social construction of mathematical knowledge. Participants will work through a fraction problem, analyze the strategies, big ideas and models developed to construct an understanding. There will be an opportunity to observe students on video doing the same. T5.22 I/S/PS Getting Started for the TI-Nspire CAS App for iPad Jerry Scherer THIS IS A DOUBLE SESSION. In this hands-on session, participants will learn the basic features of the six applications of the TI-Nspire CAS App for iPad. These tutorial documents are ideal for classroom use. All instructions with keystroke sequences are provided on the iPad. The handheld version of these files will also be available. T5.23 K/P/J CANCELLED Mais oui!!! Des ressources de mathématiques gratuites disponibles - en français! Version élémentaire. LISE GALUGA Les enseignants francophones de l’Ontario ont accès à de multiples ressources produites par des institutions franco-ontariennes. Ces ressources sont gratuites et disponibles sur Internet pour une utilisation en tout temps et en tout lieu. Venez : › naviguer les sites des partenaires en éducation de l’Ontario; › connaître les ressources gratuites disponibles au personnel scolaire de l’Ontario. T5.23 P/J/I Play math, love math: unleash the power of games-based learning in your classroom Mohit Midha T5.24 P Helping Children to Think Zoe Donoahue Strategically About Addition and Subtraction THIS IS A PRODUCT SESSION Technology has become deeply, if not completely, embedded in each of our lives. Some of our students were born after Facebook was launched and expect the interactive touch devices to have always existed. With so many distractions in students’ lives, how can we innovate to address the learning needs of this generation of students? With interactive games and clever adaptive quizzes, all mapped to the curriculum for K-10, Mangahigh brings dramatic improvements in students’ attitudes towards learning math. On Mangahigh, each student
 is motivated and works to the best of their ability. Teachers can easily identify struggling students and differentiate their instruction using built-in classroom tools. The program has already been adopted by over 5000 schools and is the most engaging math resource out there. Join the session and get yourself a free trial. This session will focus on an approach and activities to help children learn to think strategically when adding and subtracting. The focus will be on how children use tools and manipulatives such as the rekenrek, number line, open number line, hundreds chart and 20 frame and on how they can be encouraged to use and articulate a variety of strategies. The session will include examples of lessons and discussions from a Grade One class. 49 CODE & LEVEL T5.25 P TITLE Investigating critical thinking in math through a Kindergarten lens PRESENTER(S) kathryn lucas DESCRIPTION Join us as we explore how to help early elementary students develop their critical thinking skills through open-ended problem solving, based on the Douglas Clements Learning Trajectory on early learners and mathematics. We will also be addressing the importance of assessment and evaluation within this context, and how to apply it meaningfully. Participants will experience a 3-part math lesson through the eyes of a kindergarten student. T5.26 I Thinking and Communicating in Mathematics Jennifer Lloyd The purpose of this workshop will be to demonstrate how to use writing and communication skills to deepen mathematical understanding. Through math journals and media outlets, students will develop a greater appreciation for math, particularly those who are more confident in literacy than in math. I will discuss how to teach students to write good math journals as well as encourage discussion around how to assess math journals. One possible activity could be to moderate some sample journals to allow teachers to feel more confident assessing communication pieces in math. T5.27 P Math, Mindset and Multiple Intelligences Patricia Kehn Lisa Petrucci Cindy Mackay Carol-Lee Halcovitch Kimberley Davis Our TLLP theory of action looked at supporting student achievement in mathematics by connecting learning styles and multiple intelligences. Participants will explore activities, apps and strategies to increase their students' number sense by teaching to their learning styles and intelligences (with a concentration on bodily/kinesthetic, musical and visual/spatial learning styles). T5.28 S The Best Canadian Health Microdata for MDM4U Patricia Misner THIS IS A DOUBLE SESSION. We will provide all participants in this workshop with hands-on experience on how to use the provincially licensed edition of a very useful, easy-to-use CD-ROM containing over 2,000 variables from the Canadian Community Health Survey (CCHS). This survey of 130,000 Canadians facilitates detailed analysis and cross-tabulations of the many health and demographic variables available at the health district level. At this hands-on workshop, teachers will learn how to use this data with Beyond 20/20 and also receive a package of teacher materials that have proven useful in implementing use of this data in MDM classes across Ontario. Those wishing to follow along with the demonstration are encouraged to bring a PC to install the software. 50 CODE & LEVEL T5.29 K/P/J/I TITLE Numeracy GROOVE PRESENTER(S) Michelle Hillier DESCRIPTION Explore numeracy skills kinesthetically, ignite the right/left brain, and build community in your classroom with engaging new Numeracy GROOVE activities. Using music, physical activity, creativity and teamwork, students will uncover the numeracy strands; problem solving, reasoning & understanding, numbers, algebra, measurement and geometry. Whether you're looking for a body break, new DI practice, or a fun way to integrate movement into the Math curriculum (or numeracy into the HPE/Dance curriculum), students will love these activities all while benefiting the BODY, BRAIN and BEING! Note: There is a Numeracy GROOVE resource to support this workshop if participants would like to purchase it. Not necessary though. T5.30 I/S Rethinking Math Class Mary Bourassa THIS IS A DOUBLE SESSION. What should math class look like? How do we foster student engagement? What warm up activities will improve number sense, develop a growth mindset and get students thinking about math? What does good feedback look like? How can you provide formative assessment that isn’t a quiz? What activities hook students and make them want to do the math? What is the role of technologies like Desmos, graphing calculators, apps, etc.? Do our evaluations match how we teach? In this session, you will have the opportunity to try out some activities, share your favourites and engage in meaningful discussions intended to help us all be better teachers. Brent Davis KATHY KUBOTAZARIVNIJ If multiplication is repeated addition, how does one go about adding 1.2 to itself 3.4 times? Questions like these will be investigated through "Concept Study"-- a systematic set of research-based strategies collectively co-constructed by kindergarten to grade 12 teachers to deepen their own understanding of math content, while supporting their students' understanding. This thread consists of 5 sessions, including: T4-T5, F4-F5, and S3. T5.ThreadConcept Thread: Concept Study: K/P/J/I/S/PS Teachers CoConstructing Mathematics 51 CODE & LEVEL T5.ThreadLD J/I TITLE Thread: Supporting Students with Learning Disabilities in Mathematics PRESENTER(S) Connie Quadrini Connie Gray DESCRIPTION Classroom teachers of mathematics, special education teachers, and professional learning facilitators are invited to participate in this innovative thread! Students with learning disabilities have average to above average cognitive ability and therefore great potential to learn mathematics. So what’s important to know and understand about the challenges that these students face when learning mathematics? This interactive session will provide educators with the opportunity to develop understanding of the profile of students with learning disabilities. Through experiencing math specific simulations, they will gain insights into the cognitive processes that impact students' mathematics learning. During this session, educators will apply new perspectives and insights gained as they work collaboratively to unpack the IEPs of students with learning disabilities through a mathematics lens, and analyze mathematical tasks and student thinking. In addition, they will consider next steps for student learning including selection of precise and personalized accommodations that leverage student strengths and respond to needs. Interventions for students with learning disabilities will be explored with a focus on assessing students' mathematical readiness, and selecting appropriate resources and supports that move these students forward in their mathematics learning. This thread consists of 5 sessions, including: T4-T5, F4-F5, and S3. 52 CODE & LEVEL T5.ThreadTech J/I TITLE Thread: Manipulating Mathematical Thinking with Technology PRESENTER(S) CAROLINE ROSENBLOOM Mirela Ciobanu DESCRIPTION In Session 1 of the thread: Manipulating Mathematical Thinking with Technology. As a novice or a tech-savvy educator, we will provide steps you can take to contextualize tool technologies in your mathematics instructional design. These strategies will deepen students’ ability to think critically as they participate as knowledgeable, reflective, creative and analytical members of a collaborative digital space. We will show how technology for instruction and assessment was used in our partnership project where students were part of a learning community to discover, explore, and conjecture about mathematical ideas collaboratively and cross-culturally. In Part 2 of this thread. Successful students can fluently “see” mathematical relationships. During this session, participants will engage in problem solving and use various models of representations, including the Singapore Model Drawing and the open number line model used in Japan. Additionally, we will explore how dynamic technologygenerated representations are easily manipulated to increase students’ ability to identify the relationships between known and unknown quantities in the problems they solve. We will share samples of collaboratively generated problem representations, as a result of the mathematical partnership created among various math classroom communities. In Part 3 of this thread we will show the role parents play as critical members in our learning partnership for student success. From parent engagement sessions to classroom blogs, we will explore different ways technology can be used to link the home and school to involve parents in our learning community. This thread consists of 5 sessions, including: T4-T5, F4-F5, and S3. BYOD for the full experience! F1.01 J/I Featured Session: Supporting Students with Learning Disabilities in Mathematics: What Have We Learned So Far? Connie Quadrini Connie Gray Unpacking of student profiles in conjunction with mathematics content is providing new ways of thinking and subsequently guiding collaborative inquiry by special education and mathematics educators who are focused on supporting students with learning disabilities in mathematics. Findings from collaborative inquiries have yielded some insights into ways that students perceive, understand and communicate mathematics. Come hear about some of the high yield instructional strategies that support unique student profiles with precision and personalization, and walk away with new ways of thinking about how to best enable these students. 53 CODE & LEVEL F1.02 J/I/S TITLE Financial Literacy PRESENTER(S) Beth Brown DESCRIPTION Join us to explore curriculum-linked videos and lesson plans of Ontario teachers implementing financial literacy education across a broad range of grades, subjects, courses and pathways. We will explore the financial literacy page on EduGAINS as well as new resources to support professional learning. Stay and explore Ministry of Education Mathematics K-12 Resources, including: EduGAINS – Mathematics K-12, mathies, Ontario Education Resource Bank (OERB), Blended Learning packages, ministry licensed digital supports, Homework Help, Critical Learning Instructional Path Supports (CLIPS), Gap Closing and ePractice, Financial Literacy, lesson planning supports, and resources to support professional learning facilitators of mathematics. F1.03 K/P/J/I ELL and Math Learning and Instruction KATHY KUBOTAZARIVNIJ How do students learn mathematics when they don't speak English and have limited school experience? What would a whole-school approach to improving student learning and achievement in mathematics in a school with 75% ELL students be? The school's co-constructed planning and instructional processes and strategies for ELL learners will be explained and experienced. F1.04 I OAME/MoE/OMCA Grade 9 Applied Math Collaborative Project TBA This year OAME, in conjunction with the Ministry of Education and OMCA, are running a project to improve student learning in Grade 9 Applied Math. Come to a session where we will share our experiences and what we have learned. F1.05 K/P Leaps and Bounds Marian Small Primary: Closing the Gap for Struggling Students in Grades K-2 THIS IS A PRODUCT SESSION. Leaps and Bounds Primary is a mathematics intervention resource carefully developed to help teachers diagnose student difficulties and intervene appropriately at the early grades. Based on Dr. Marian Small’s philosophy around differentiated instruction for all learners, Leaps and Bounds Primary provides teachers with a tool for individual or small-group remediation. Diagnostic assessments (based on curriculum strands and topics) allow teachers to identify where students’ abilities or difficulties lie, and intervention activities help close learning gaps for those students who may be struggling. Join us to discover how Leaps and Bounds Primary can support primary-level students by closing gaps before they interfere with progress and future success. F1.06 I/S Learning Math with Technology Tom will share what learning looks like at Mother Teresa High School, where students are successfully learning with TI-Nspire CAS handhelds, TI-Navigator, TI-Npsire App for iPad, iPads, SMARTBoards, and document cameras. The session will focus on how we use these technologies to connect more closely with student thinking. Tom Steinke 54 CODE & LEVEL F1.07 S/PS TITLE New kinds of problems PRESENTER(S) Peter Taylor DESCRIPTION Much has been said around the need for a “cultural change” in math education at all levels. For my part I believe that we owe our students, not to mention society, richer experiences with the mathematics curriculum, particularly at the middle and high school levels. By richer, I do not mean “harder math problems" but rather I want to see problems that contribute to the development of the skills and aptitudes that are increasingly in demand. Sitting at the centre of these are the investigative skills, the capacity to take a problem apart and see how it works, to push it in different directions and see what happens, to relate it to similar problems, to talk with others and consult, and at the end to put it all together as a compelling story. I will give examples of such problems at the senior high school level. F1.08 K/P/J/I Building a Home Connection: School Family Math Night Belinda Moretta In this session, participants will be introduced to the entire process of hosting a Family Math Night at their school. A Family Math night is a wonderful way for parents/guardians to explore mathematics with their children through hands-on learning activities and games. Families are provided a clearer understanding of how math is being taught in the classroom, as well as the opportunity to learn fun and engaging ways to practice important math skills at home. This not only builds further communication between the home and school, but also strengthens the sense of partnership between parents/guardians and teachers. F1.09 S Growth Mindset in MHF 4U (Our TLLP Journey) Elizabeth Pattison This year we worked on a TLLP with a focus on teaching through problem solving in Advanced Functions. All year we’ve being creating problem solving lessons and assessments that (i) help students develop deeper conceptual understandings in some of the areas where they typically struggle, and (ii) become more confident and active problem solvers. At this session, we will share these activities and also discuss how we consolidated the key understandings of the concepts being explored. Most of these activities are meant to be done in small group settings with minimal teacher intervention in an effort to promote communication, perseverance, problem solving skills and a growth mindset about learning. We will also share the results of our preand post-survey of students’ mindset towards mathematics and problem solving. F1.10 I Proportional Reasoning for Intermediate Students Jean Middleton Teaching the 'Rate, Ratio and Percent Unit' to Gr. 7/8 students can send tremors into even the most seasoned teacher. Come and explore some technology, authentic learning opportunities, mental math strategies and good questions for 3-part math lessons that can be used to develop proportional reasoning in Gr. 7/8 students. 55 CODE & LEVEL F1.11 K/P/K/I TITLE Build Positive Mindsets with Video PRESENTER(S) Royan Lee DESCRIPTION For students to develop positive math mindsets, they need to recognize that problem solving is a process, and be able to self assess their progress. Just as an athlete will watch video of him/herself with a coach to deconstruct successes and next steps, so too can a student watch a video of him/herself solving math problems to better understand his/her own areas of strength and need. Come to this session to learn how to use simple mobile technology to take, keep, and use video for assessment. Learn how students can develop their metacognition as mathematicians, growing leaps and bounds in their growth mindsets. F1.12 K/P/J/I/S/PS Supporting Professional Learning in the 21st Century SONIA ELLISON Teaching and learning has to be different for students in the 21st Century. This means that we must provide a different kind of learning experience for educators as well. Join me for a session focused on how we can use professional learning designs to shift educator mindsets, nurture curiosity, and create opportunities for collaboration and innovation. F1.13 I Building Mathematical Mindsets in MPM2D Through Cycling: Academic Activities and Problem Solving Tasks Gabriela Papaz We will suggest a possible course outline that works for us, share academic activities, and reflect on our philosophy towards assessment and evaluation. We have found students discover long lasting connections by working together through the activities and through experiential learning. Don’t give them the sine law, but have them arrive at it on their own! We will work through at least one activity from start to finish, and show you several different ones we have tried. At the end of this workshop, teachers will get a variety of activities and samples of open ended test questions. F1.14 P/J/I Play-Based Learning in the Junior Classroom & Beyond John Butler Learning needs to be tangible and real for students. As teachers, we need to learn how to create the perfect spark and step back before we smother it. Learn to facilitate and generate great reflective practices through inquiry and game-based learning in this session. Teachers will be introduced to activities and strategies that help create a stress-free environment. We will examine two models of game-based learning: Web-based & tradition file folder games. The model for the game-based math classroom is non-intrusive, curriculum based and easy to establish. You will discover many new activities to incorporate into your math class and learn about the reflective practices that help transform simple games in rich learning activities. When mathphobia is taken out of the equation and students are able to immerse in risk free play, the result is fantastic. 56 CODE & LEVEL F1.15 J/I/S TITLE Creative Differentiation in the Math Classroom using Google Apps for Education (GAFE) PRESENTER(S) Sandra Chow DESCRIPTION Our classrooms these days are becoming more diverse with combined grades, ESL, and integrated classrooms, and math problem solving is often the biggest barrier for our students. As an educator, meeting the needs of every individual child is difficult and challenging. GAFE provides many wonderful tools that help educators to face these challenges head-on. Join us in this session as we share our tips and tricks to differentiate teaching and learning in an integrated math classroom using Google Drive, Read and Write Gold, Chrome Extensions and many more. F1.16 K/P/J Building Spatial Sense to help Students Mathematically P/J DIANE TEPYLO How is spatial reasoning related to mathematics? This session will explore how spatial reasoning impacts mathematics learning and what teachers need to know to support mathematics with spatial reasoning in their classrooms. This session will include classroom examples from K to Grade 6. F1.17 I/S VNPS - It's all that...and more!!! Mylène Abi-Zeid VNPS (Vertical Non-Permanent Surfaces) have enhanced the teaching/learning process in my classroom. With a hands-on activity, come explore how VNPS can lower student anxiety in math class, engage more students with the task, facilitate descriptive feedback (student to student and teacher to student), and build a positive mindset. F1.18 K/P/J/I Lies and Partial Truths We Tell Children in Math Class Daniel Peter This interactive workshop will examine the lies and partial truths that are often taught in math class both by direct statement and by implication through teaching/assessment methods. This workshop will examine why these are incorrect and the long term misconceptions they create by comparing them to the Big Ideas which are the essential long term learning. By examining the misconceptions and the Big Ideas that they conflict with, teachers will become more aware of the long term negative implications of short-cuts and non-contextualized learning for students' long term success in mathematics. 57 CODE & LEVEL F1.19 K/P/J/I TITLE Inspire and motivate students in Mathematics PRESENTER(S) Liz Coffey DESCRIPTION THIS IS A PRODUCT SESSION. Learn how you can inspire and motivate students to achieve better results in Mathematics. Our workshop will introduce you to the Mathletics online learning environment which was developed in Australia and now aligned to Ontario expectations. This web based program is used daily by over 4 million students and over 17,000 schools around the World. We will cover tools available for both students and teachers including adaptive learning, problem solving, online support center for students, automated markbooks, differentiated learning tools and teacher resources. Teachers are encouraged to bring their laptops and will be provided a temporary user name and password to access the website. All teachers will also receive a FREE 2 week trial to use in their classroom following the workshop. F1.20 K/P Inquiry Based Learning and Mathematics Finding the Math in Their Work Chris Moscato This session will explore the role of an inquiry stance of learning within the mathematics classroom. Participants will explore found materials while looking for mathematical concepts within the work. Content knowledge for teaching will be addressed in order for participants to better understand how mathematics and inquiry are connected in the Early Learning Kindergarten-Grade 2 classrooms. F1.21 I/S Math Action Plans CAROL VAN WAGNER Math Action Plans (MAPs) are easy-to-use templates written by the teacher and filled out by students at key points in the course. They allow students to analyze their progress, identify specific gaps in their learning, make a plan to fill those gaps, and communicate with their support team (i.e, parents and teacher). It takes about 15 min for a teacher to customize a basic MAP template, and then about 15 min for each student to complete and submit. Students take ownership of their learning, you save time writing progress reports, and parents will thank you! Learn more about how and when you can use MAPs to help students take greater control of their learning, and try writing one for own class. F1.22 J/I/S The Evolution of Assessment in Mathematics Lawrence DeMello Chris Papalia It is about time we allow students to use the technology at their fingertips to demonstrate their understanding of mathematics. We will show the various strategies we used to "revolutionize" the paper and pencil approach to mathematics evaluation in their classes. Our approach to assessment builds growth mindsets, improves student engagement, and, as a result, improves learning. Further, every students' ability to collaborate effectively is nurtured. Student exemplars and rubrics will be shared. Participants will leave this workshop with strategies they can immediately implement in their classrooms to assess student work. 58 CODE & LEVEL F1.23 I TITLE New Ministry Blended Learning Resources for MFM1P PRESENTER(S) Irene McEvoy DESCRIPTION Come out for a first-hand look at this brand new resource for delivering MFM1P in a blended learning environment using the provincially licensed Virtual Learning Environment. As well as getting meaningful content, you will learn more about Ministry licensed integrations, interactive learning objects, CLIPS, ePortfolio for online assessment. F1.24 Using Loose Parts to Enhance Mathematical Understanding in Young Learners Jessica LindsaySonkin Inspired by the Beautiful Stuff project, this session will explore multiple ways to use loose parts to reflect, support and enhance mathematical thinking in young learners. Number sense, geometry, spatial sense, patterning and data management are all strands that are touched upon when using this open-ended, play-based project. Strategies for making mathematical thinking visible to students, parents and educators will also be examined. F1.25 K/P/J Develop Deeper Understanding with the Power of Part-PartWhole Ann Pigeon The ability to conceptualize a number as being made up of two or more parts is often thought of as the most important number relationship that primary students can develop. Participants will explore a variety of hands-on activities to develop partwhole relationships, giving children access into a variety of addition and subtraction problem solving situations. The use of manipulatives and technology, make the partpart-whole relationship accessible to all students. Part-part-whole relationships...they are an important part of primary mathematics! F1.26 I/S Building a Growth Mindset in Grade 9 Applied Math Jennifer Clark This session focuses on strategies that have proven to be effective at changing the attitudes of grade 9 applied students from "I can't do math" to "I can be good at math too". Strategies to be shared involve components of both Assessment for Learning and differentiated instruction. The effect that these strategies have had on EQAO scores will also be addressed. F1.27 I Promising Practices to Increase Success of Grade 9 Applied Math Learners Eli-James Hunt This presentation will focus on strategies that have been implemented to improve outcomes for grade 9 Applied Math learners in the Brant Haldimand Norfolk CDSB. Participants will leave with engaging activities on some of the big ideas of the course as well as an overview of the system initiatives that have fostered an increase in achievement throughout the board. This session is geared toward teachers and leaders who have a passion for developing a growth mindset in staff and students in the area of Mathematics. 59 CODE & LEVEL F1.28 I TITLE Destreaming... all over again. PRESENTER(S) Mike Smith Lorraine Ryan DESCRIPTION After completing a year-long project in a Limestone DSB school to combine students who chose either grade 9 academic or applied math, we will discuss our results, experiences and the growth mindset learning we accomplished with a cohort who began and successfully completed the Academic course. Now currently in the second year of the program, we will also share the progression of our course planning, teaching strategies, timetable structures and mindset activities. F1.29 P/J On A Roll to Fact Fluency Jane Felling THIS IS A PRODUCT SESSION. Do your students struggle with fact fluency and are you looking for engaging and effective activities to help them gain confidence and competence with the curriculum? Come prepared to play our best Box Cars games that incorporate cards and dice. Games integrate practice with strategies that help with operational fluency. Student samples, gameboards, ideas for differentiation provided. F1.30 P/J Fluid Hundred Charts Roy Reed Hundred charts have been around a long time, but they are usually used as static tools. However, if we dump out the pocket charts and cut up the arrays, students can discover patterns and number relationships, using this traditional tool in a whole new way. F1.31 P StrADDegy Jamie Fraser A balanced mathematics classroom recognizes the need for children to have automatic fact recall and computational proficiency. The purpose for this mastery, however, is to provide children with the tools necessary to be fluent mathematically: to solve problems, think critically and to develop reasoning skills. Join Jamie Fraser as he explores fact acquisition through the use of story contexts, visual tools (tenframes, rekenreks), number strings, games and investigations. All participants will be provided with a comprehensive handout, including teaching notes and activity mats for the games introduced. This session is sponsored by Bound2Learn. F2.Keynote All Keynote Address: Beyond Relevance & Real World: Stronger Strategies for Student Engagement Dan Meyer Highlighting relevance and connections to the real world are often seen as the most effective strategies for engaging students in difficult mathematics, but both strategies are limited and can fail in crucial ways. We'll add strategies to our repertoire, looking at research-based methods for developing a question instead. 60 CODE & LEVEL F3.00 F3.01 All F3.02 I/S TITLE LUNCH Featured Session: From the lab to the classroom: Lessons from a 4-year geometry and spatial reasoning research project Math Curriculum Makeover PRESENTER(S) Joan Moss Dan Meyer DESCRIPTION First of 2 available lunch time slots Spatial reasoning has captured the attention of influential organizations, such as the National Council of Teachers of Mathematics (2010) and the National Research Council (2006), and, recently, the Ontario Ministry of Education (OME, 2014). Years of research by cognitive scientists and developmental psychologists have uncovered the central role of spatial reasoning for STEM disciplines, most notably mathematics. The good news, according to an award-winning meta-analysis of 206 spatial training studies (Utall et al., 2011), is that spatial reasoning is malleable and can be learned by people of all ages. Although the implications of these findings offer promise for educators, surprisingly, only a handful of the studies from this meta-analysis were conducted in the “messy” environments of classrooms. Our challenge as educators is to translate these findings and to incorporate spatial reasoning into the realities of classroom practice. For the last four years the Math for Young Children project has been working in a variety of classrooms, both urban and rural, to address this gap. This project has brought together researchers, mathematicians, teachers and educational leaders to design and test lessons and activities to support the development of spatial reasoning. More specifically, we have worked towards investigating new ways to incorporate spatial reasoning in the teaching and learning of geometry, measurement and recently, number. In this talk, I will present highlights of the tasks and lessons that we have designed, show video clips of student reasoning, and present research findings from the intervention studies that have been part of this project. Our textbooks often contain interesting questions that the nature of text and paper has compressed and made disinteresting. We will explore strategies for taking the unengaging bits from our textbooks and transform them, using research-based strategies for student engagement. Optional: bring a textbook task to work on. 61 CODE & LEVEL F3.03 I TITLE Homework Help PRESENTER(S) Mandy Mabee DESCRIPTION Join us for a look at how you and your students can benefit from Homework Help - a free online math help resource for students in Grades 7-10. Homework Help provides live one-on-one tutoring from Ontario teachers and a dynamic web presence.<BR> Stay and explore Ministry of Education Mathematics K-12 Resources, including: EduGAINS – Mathematics K-12, mathies, Ontario Education Resource Bank (OERB), Blended Learning packages, ministry licensed digital supports, Homework Help, Critical Learning Instructional Path Supports (CLIPS), Gap Closing and ePractice, Financial Literacy, lesson planning supports, and resources to support professional learning facilitators of mathematics. F3.04 J/I Communicating and Comprehending Mathematics using Assistive Technology strategies Valia Reinsalu In order to be successful, students need to comprehend and communicate their mathematical thinking and understanding. The focus of this presentation is on a variety of assistive technology strategies which support special education students to comprehend and communicate using Interactive Whiteboard tools (and peripherals) and the use of other software examples in various ways within the three-part lesson. Through modeled activities and a demonstration of the three-part lesson, participants have opportunities to make connections of ways they can use AT in their Math program in the context of differentiated learning. F3.05 I/S A mathematical look at calendars: Patterns; curious and interesting questions and a formula for calculating the day of the week. Ron Lancaster On what day of the week will January 1st fall on in the year 2020? When was the last year when there were 4 Fridays the 13ths? When is the next time that there will be five Fridays, five Saturdays and five Sundays in August? We will answer questions such as these; develop a formula that students can easily use to determine the day of the week for any date; examine patterns in calendars used around the world and study the frequency distribution of the dates of Easter. Teachers will take away problems and activities that can be used year after year and that will never be out of date. 62 CODE & LEVEL F3.06 P TITLE Impact using Rich Math Tasks on Student Attitudes and Learning PRESENTER(S) PATRICIA MATEJA DESCRIPTION “Students in math classrooms often believe that their role is to perform, showing they know math and can answer questions correctly, rather than to learn. It is very hard to be in a math class in which you are constantly working on short, closed tasks that you get right or wrong and maintain a growth mindset. If we are serious about encouraging students to develop growth mindsets we need to provide open tasks that have the space within them for learning, not short tasks that students are meant to get right or wrong.” Timed Tests and the Development of Math Anxiety by Dr. J. Boaler, Education Week. This presentation will take the participants through our Student Work Study Inquiry learning journey and highlight steps designed to help student development of a positive mindset, a major impact of this study. F3.07 J/I Hearing the Silence behind Learning Goals and Success Criteria Najwa Chalabi Educators scramble to define learning goals to answer "What do I teach? “. Students search for the answer to "How do I learn?" In response to this, the "Learning Goals" and "Success Criteria" strategy has been created. This presentation's intention is to communicate an inquiry process which indicates that "Learning Criteria "evolve out of "Learning Goals" and that "Success Criteria" evolve out of "Success Goals.“ This process will complement the present drive to advance the practice of the Four Parts Math Lesson, which can be mapped into the Before --> During--> After--> Consolidation and Assessment parts of a lesson plan. F3.08 S Growth Mindset in MCR 3U (Our TLLP Journey) Elizabeth Pattison Students in senior university courses often have difficulty with open-routed problems and making connections between areas of mathematics. These students need to have more opportunities to explore and “play” with the mathematics. At this session we will share a variety of problem-based lessons and assessments (with real life connections) that we created for MCR 3U. Students will become more confident in taking risks in learning mathematics, see more connections between mathematics concepts, and understand how mathematics is connected to our world, ultimately resulting in increased student achievement and a growth mindset about learning. We will also share the results of our pre- and post-survey of students’ mindset towards mathematics and problem solving. 63 CODE & LEVEL F3.09 I TITLE Becoming Trilingual... The Struggles of the English Language Learner in Mathematics PRESENTER(S) Karen Kim DESCRIPTION Have you ever tried to learn another language? What about two additional languages at once? An impossible task for many, but our English Language Learners are doing this everyday in our mathematics classes. Join us as we take you through the challenges and surprises we encountered (about our students and ourselves) while teaching the Grade 9 Academic ELL course. We will show you how you can incorporate multimedia into your lessons, how you can modify existing activities and assessments and even how charades will be your go-to move for explaining the most abstract concepts. Electronic resources will be shared. F3.10 All Make Your Own MindsOn Videos Royan Lee As math educators, we are always looking for great videos and images to spark minds-on thinking in our math lessons. Although we can occasionally find these online, what if we leveraged the power of our everyday phones and tablets to create our own video content for learning? Come to this session to learn how to use the iMovie app on your iPhone or iPad to film, edit, and publish your videos for math class. F3.11 I/S/PS How to structure a Secondary AP Calculus Program Brad Ryan As a Mathematics Department Head and lead teacher in a school that offers a very successful AP Calculus Program, I will present in detail how to structure the mathematics program in a high school. How do you meet the needs of the Ontario curriculum both in content and in proper evaluation of students, yet at the same time have courses at the grade 9 through grade 12 level that also allow for the teaching of the complete Calculus AB and BC program? I will present how I have accomplished this at my school, show what modifications I have made to the mathematics courses to ensure completion of the two objectives, and provide my solution for making sure that the students maintain strong grades in spite of the larger workload. F3.12 P/J/I Becoming a GAFE Assessment GURU...It's as Easy as 1, 2, 3 Anna-Marie Boulding In this hands-on, devices-on session we will: (1) use Google Docs to gather, visit and record evidence of student work, (2) use Google Slides to leverage peer feedback in a digital gallery walk and (3) use Google Forms to capture student observations of the Mathematical Processes. (1)=Products, (2)=Conversations, (3)=Observations…See it’s as Easy as 1, 2, 3! 64 CODE & LEVEL F3.13 K/P/J/I TITLE Developing Growth Mindsets Through Number Talks PRESENTER(S) Ruth Teszeri DESCRIPTION From the philosophy behind the value of growth mindsets in mathematics classrooms to the practicalities of how to change students' mindsets, this session will explore our board's journey and stories of students, parents, and educators. The power of assessment for learning through the framework of Number Talks in helping students and educators develop growth mindsets in mathematics will be a key component of this workshop. F3.14 I Engaging Math for Grades 7-9 DAVID PETRO Jisele Jobin Students often come to math class thinking they 'can't do it', and society will let them continue to think that. Saying 'I can't do math' can sometimes be a badge of honour. What if instead, math class could be the average person's favourite class - not just those who are 'good' at it. If you step away from the traditional paper and pencil math for a bit, you will see that most students can find some success and eventually start to reverse that mindset. Over the last few years we have developed some big and small activities that promote thinking, movement and collaboration in grades 7-9 math classes. In this session we will share and let you try some of our favourites. F3.15 All Learning 360: The Global Math Classroom Vickie Morgado In this session we will co-learn about the integration of the global community through the use of technology within our mathematics lessons. Through these activities we strive to increase engagement, expose student thinking and improve learning. Participants will experience a globally connected classroom on Skype and also use Twitter (#mathtechOAME) to collaborate with other students across the globe. Specific examples of lessons will be shared that have taken place in a grade 2 and 3 classroom and in a secondary mathematics classroom. F3.16 P/J Scoring an EQAO Mathematics OpenResponse Question from the Primary or Junior Division in a Group Jamie Scott Charlotte Cornel Sheena Agius Have you ever had the opportunity to work with other educators in the province and discuss student work on an EQAO mathematics open-response question that was written by students in Grade 3 or Grade 6? During this session, you will first learn about EQAO’s processes regarding how a question is developed, how EQAO maps questions to the categories of knowledge and skills, and how EQAO scores openresponse questions using the codes 10, 20, 30 and 40. After describing the process used in EQAO’s Range-Finding sessions, you will work on a Grade 3 or Grade 6 EQAO question in a small group. You will discuss the student responses with your group members and decide what code to assign. Each group will select a sample of student work at each code to represent the codes and the anchors that were selected by the EQAO Range-Finding committee will also be revealed. 65 CODE & LEVEL F3.17 J/I/S TITLE Math foldables and Interactive Student Notebooks PRESENTER(S) Vicky Wong Graham DESCRIPTION The hands-on aspect of math foldables along with the organizational feature of a notebook will help all students (including those with special needs) consolidate and organize their math thinking. Participants will have the opportunity to create their own math foldables. F3.18 All Math professional development as a bridge: Linking schools and the First Nation communities they serve Beverly Caswell Educators from the Rainy River District School Board and First Nation communities will share success stories about their involvement in the Math for Young Children project and the culturally responsive math programs that emerged. This workshop highlights a deeply collaborative and respectful approach to teacher professional development. In this interactive session participants will: • Engage in culturally responsive family math night activities and early years math activities designed collaboratively by RRDSB’s numeracy and FNMI instructional leaders and local FN Educational Counsellors • View video of “math makeovers” in FN daycares; • Explore ideas about how math can be used to understand treaties and land reclamation. F3.19 K/P/J Mental Math Using Number Strategies and Visual Models Monica Rohel Cary Hogan THIS IS A TRIPLE SESSION (OFFSITE). Do you wonder how to develop your students' mental math abilities? Do you have questions about how to incorporate mental math in your lessons and throughout the school day? This hands-on and engaging workshop will explore concepts in mental math, including strategies for developing number sense and numeration. Participants will be engaged in hands-on activities involving board writing, tools, and technology. They will also have the opportunity to observe and engage in mental math activities with students in a classroom. Sample activities will be shared with all participants. PARTICIPANTS ARE TO MEET AT THE HOSPITALITY TABLE. F3.20 I/S Bodily Functions Fred Ferneyhough Integrate Math and Science with a few simple data collection tools, a warm body (yours!), and an open mind (also yours!) This session will give you the confidence to collect your own data and then analyze it like a pro. F3.21 J/I Math Magic Tricks Don Fraser Your students will enjoy these many math based tricks which involve pattern recognition and computation. Some of these tricks produce surprising results which can be proven with early algebra. Your students will build their confidence and competence while dazzling their friends and family with these awesome math magic tricks-a definite growth mindset! 66 CODE & LEVEL F3.22 P/J/I TITLE Reflex- Improve Math Fact Mastery to Build a Positive Mindset in Math PRESENTER(S) Saarah Jasim DESCRIPTION THIS IS A PRODUCT SESSION. ExploreLearning Reflex is an online fact fluency program that provides customized instruction, motivating games, and assessments that will prepare students for the challenges of advanced mathematics while building a positive mindset around mathematics in the classroom. Come learn how the system is rapidly helping students in the local area attain automaticity, and changing their attitudes about math! F3.23 All MTBOS - The Calvin Armstrong MathTwitterBlogoSphere Learning for students is now ubiquitous - so too is teacher professional development. By using the connected space of the online environment - blogs, Facebook, Twitter, Instagram, etc. - teachers can become more reflective, more expressive, more creative, more relaxed, more empowered; frankly, better teachers. Bring your device to join in the conversation or just to look. Either is totally supported! F3.24 I/S Investigations in Geometry with TI-Nspire Fred Decovsky Participants will explore hands-on activities designed to investigate the mathematical practices related to geometry. See how these explorations and the use of TI Nspire make the mathematical practices come alive in the classroom and engage your students in tasks rich in problem solving. F3.25 J/I Growing the Mathematical Mind through Assessment Carrie Annable In this session, I will outline various assessment tools and assignments that I have used with my middle school students to help them improve their mathematics proficiency and see that mathematics is not always about right or wrong answers. These tools can help students build confidence in their mathematical ability and approach learning mathematics from a growth mindset perspective rather than a fixed mindset perspective. F3.26 J …back to the “basics” Marc Husband Tina Rapke Sheila Delaney Matthew Cheung Asuman Duatepe Paksu How can we use a traditional task, like mad-minutes, to generate flexible computational strategies? We asked students in a grade 4 class to identify the “easy” or “easier” and “harder” questions after completing 1-digit by 2-digit multiplication questions, in the form of mad-minutes. Over the course of 4 days students generated strategies and posed their own “mad-minute” questions for their peers to solve. Our session will look further into how we can use student thinking to generate strategies for multiplication and encourage students to pose mathematical problems as a way to develop reasoning and sense making skills. Video of students’ thinking will be shared and discussed. 67 CODE & LEVEL F3.27 I/S/PS TITLE My Flipped Classroom...What Now? PRESENTER(S) Velisa Anusic DESCRIPTION Have you heard of the flipped classroom? Have you tried it, but want to make it better? Have you wondered what's next in a flipped classroom? This double session will help participants answer such questions as: What is a flipped classroom, and why is it awesome? How do you manage flipped class students - both in class and at home? What should be flipped, and what really should be done in class? So, if the videos are homework, what do you do with all that class time? We will discuss how to turn your already flipped class into a playground where exploration and real life problems rule (this is the fun part!). Join me for a flipping good time! F3.28 P/J/I Ministry Mobile Manipulatives and Miscellany Ross Isenegger Marvelous mobile manipulatives are a mere moneyless download away! Produced by the Ontario Ministry of Education and catalogued at mathies.ca, these digital learning resources are designed for the Ontario curriculum. Meet the developers of the Rekenrek, mathies Notepad, Relational Rods and Whole Number Rods. These are available on the Apple App Store and the Google Play Store as well as online for desktop computers. They help develop early mathematical concepts and extend quite nicely to fractions and proportional thinking. Practical examples of each will be featured. Each app includes an annotation tool that can be used by students and their teachers to share and explain the mathematical thinking employed. F3.29 J/I Fill'n the Gaps Math John Felling THIS IS A PRODUCT SESSION. Many students entering grades 4 - 7 lack the basic math skills and understanding which are required to learn math concepts taught in Junior. Participants in this session will learn strategies and games to help their students fill in those gaps. Games use cards and dice and are easy to differentiate and modify so that students are challenged by not frustrated. Concepts include: basic facts all operations, operational fluency with multi-digit numbers and more. The handout includes gameboards that can be used right away, student samples and ideas for assessment will be shared. F3.30 K/P/J CANCELLED Augmenter votre quotient Google Ninja en classe de mathématiques! Version élémentaire LISE GALUGA Découvrez comment optimiser la collaboration, la pensée critique, la créativité et la communication – en mathématiques – à l’aide des outils Google Apps Édition Éducation. Des exemples réels et des applications pratiques pour les élèves de l'élémentaire seront démontrés, discutés et partagés. 68 CODE & LEVEL F3.31 P/J/I TITLE IEP Goal Writing PRESENTER(S) Nicole van Woudenberg DESCRIPTION This hands-on session for elementary teachers, will involve deconstructing the Math Gr. 1 - 8 Curriculum and writing SMART goals and corresponding performance tasks that meet Ministry IEP standards. Participants should bring current hard copies of IEPs with modified Math goals with them to the session as well as a hard copy of the Gr. 1 - 8 Math Curriculum. F3.32 I/S There's An App For That! MICHAEL LIEFF Are you and your students ONLY using your smart phones for Facebook and Twitter? There are a wealth of apps for both the Apple and Android platforms that can be used to learn and support mathematics! Among other things, there are apps for Khan Academy, Desmos and emulating the TI 83 – all free! Bring your Apple or Android device and free up some space so you can transform it into a tool of math construction! F4.00-Ignite All OAME 2015 Ignite Various F4.00 F4.01 P/J LUNCH Featured Session: Expanding Our Understanding of Math: Incorporating First Nations Perspectives THIS IS A DOUBLE SESSION. What is Ignite? Ignite is a unique event that has been hosted in over 100 countries worldwide. At these events, Ignite presenters share their personal and professional passions, using 20 slides that auto-advance every 15 seconds for a total of just five minutes. Now, OAME 2015, in partnership with Ignite, gives you the opportunity to listen to some of North America’s leading mathematics educators and researchers, speak in this exciting format. Your lineup of speakers includes: Nora Newcombe, Dan Meyer, David Petro, Alex Overwijk, Caroline Rosenbloom, Jonathan So, Kyle Pearce, Amy Lin, Sunil Singh, Matthew Oldridge, Dr. Chris Suurtamm, Mary Bourassa, Ron Lancaster, Marian Small, Paul Alves and more. Join us for the continuation of a tradition at your favourite mathematics conference: OAME 2015 Ignite! Second of 2 available lunch time slots The mathematics in the Ontario Curriculum is founded on Western European mathematical perspectives. What happens when we start to consider other ways of thinking mathematically? Ethnomathematics offers a reconceptualization of mathematics that goes beyond school-based math to recognize and value the diverse mathematical practices that have originated in other cultures and societies. In our work we have been bringing together First Nations artist-educators, non-Native educators, and First Nations and non-Native students to explore the mathematics inherent First Nations cultural practices. We have found that grounding mathematics instruction in culturally-based activities has powerful potential for both First Nations and non-Native students. As this journey progresses, all of us – researchers, teachers, artists, and students – have broadened our understanding of what it means to “do math.” Ruth Beatty 69 CODE & LEVEL F4.02 K/P/J/I/S TITLE mathies website PRESENTER(S) Patricia Steele DESCRIPTION Join us for an overview of the mathies website. It is designed to give students easy access to ministry developed mathematics resources and to support parents, guardians, caregivers and other family members in helping children and teens learn mathematics.<BR> Stay and explore Ministry of Education Mathematics K-12 Resources, including: EduGAINS – Mathematics K-12, mathies, Ontario Education Resource Bank (OERB), Blended Learning packages, ministry licensed digital supports, Homework Help, Critical Learning Instructional Path Supports (CLIPS), Gap Closing and ePractice, Financial Literacy, lesson planning supports, and resources to support professional learning facilitators of mathematics. F4.03 I Getting Students' Minds On Math and Connected to the Lesson! Ereney Shenouda THIS IS A DOUBLE SESSION. Do you want to see students focused on math as soon as they walk into your class? Would you like to be able to give them immediate feedback of their understanding on a daily basis? Well, this is possible! After using the TI-Nspire CX Navigator System, with the TI-Nspire CX Handhelds alongside Mobi Tablets, I can't imagine a lesson without them. These technologies are excellent tools for hands-on learning, different types of assessments, student led teaching and the list goes on. In this session, we'll explore a variety of lessons for grades 9-10 math and you'll observe and experience the power of the combination of TI Nspires, TI Navigator and the Mobi tablet! F4.04 P/J/I Learning to visualize Beverly Caswell through “quick image” Joan Moss activities: Building spatial and numerical reasoning for students of all ages THIS IS A DOUBLE SESSION. Visualization, the ability to create, maintain, and manipulate visual images in one’s mind, is a powerful tool in the teaching and learning of mathematics. Research has shown that students who reason from images tend to be successful mathematics students. Yet, despite the importance of visualization, this topic remains a neglected area of elementary mathematics instruction. In our 2-part interactive session we will explore a series of quick image activities, designed and field-tested by our Math for Young Children research team in a wide range of urban and rural classrooms. Quick image work, as the name implies, invites students to have a quick look at an image, or object and then to either recreate, describe or transform it. These visualization activities involve students in drawing, cutting, mentally rotating, building in 2- and 3-dimensions both from models and from memory. Designed to access geometric concepts such as transformations and symmetry, location and orientation, perspective taking and spatial language, our research has shown that not only do these activities support growth/competence in geometry, spatial reasoning and number sense, but that these activities are also easy to teach and highly engaging for students. 70 CODE & LEVEL F4.05 K/P/J TITLE Making Lemonade from On-Line Lemons PRESENTER(S) WILLIAM LUNDY DESCRIPTION Developing SMART board resources from scratch is often a time-consuming process; thus, many teachers seek ready-made ones from such sources as the SMART Exchange. All too often, these resources fall short of the mark, though: they may align with curricular content but not program design, they may focus on too narrow an aspect of a topic, or they may simply fall short in their visual appeal. This session will show some SMART Notebook skills you can use to improve those ho-hum files you may find on the web. how to save graphics that others have already created, and how to use themes and templates to improve the visual appeal of these files. This session is aimed at people who already have a working knowledge of SMART Notebook but who wish to learn the skills needed to edit existing files. Presented by a SMART-Certified Lesson Developer. F4.06 I/S Rock Your Math Class!! Awesome Classroom Activities! Jon Orr THIS IS A DOUBLE SESSION. Want to bring your class to life? Try these awesome activities!!! We'll stack cups and race cars for linear relations! We'll look at Super Mario for linear, quadratic and exponential models. Come ready to see and experience hands-on inquiry based lessons. Walk out with lessons ready to try when you get back to the classroom. We'll also learn a little about the ultimate graphing calculator - Desmos! Bring your device! F4.07 I/S How Can We Engage Our Students in Meaningful Mathematics to Increase the Probability of Greater Student Achievement JEFF IRVINE THIS IS A DOUBLE SESSION. Student engagement is recognized as a key determinant of achievement. This double session will explore ways of gaining and sustaining student engagement in mathematics classrooms. A key feature of the session will be sharing of ideas, by the presenter and by the participants. There are lots of great things being done in math classrooms that engage students. Among the dimensions we will look at are the intelligent use of technology; investigations and problem solving; ways to increase student choice; cooperative learning and other instructional strategies; focusing on the big ideas of mathematics; focusing on the mathematical process expectations; math talk learning communities; challenging but achievable curriculum; and others. My classroom had a large banner across the back that read "Mathematics is Not a Spectator Sport". There is no such thing as passive learning, and this session will provide a wealth of ideas to keep your students active and engaged throughout the learning process. 71 CODE & LEVEL F4.08 P/J/I TITLE Using Social Justice Math to Develop Student Voice, Mindset and Character PRESENTER(S) Alicia Gunn DESCRIPTION THIS IS A DOUBLE SESSION. Social justice math happens when students solve problems using numbers in a context that really matters. Students become passionate and empowered as they use math to read and write the world. Teaching mathematics for a better world helps students develop voice and see themselves as capable learners and change makers. Participating teachers will discuss how teaching mathematics through a social justice lens improves students attitudes and feelings about math, as well as their effort and critical thinking skills. Participants will work through social justice math problems, hear from students about their experiences and look at current resources. They will also plan a relevant and engaging social justice math lesson to take back to their classroom. F4.09 J/I Exploring Growth Mindset in Mathematics at the Middle School Level: A Co-Terminus Project to Support the Transition of Students in Grades 6-9 Gianna Helling Katharine Piotrowski Nancy Steinhauer THIS IS A DOUBLE SESSION. In this workshop, presenters will describe a Collaborative Inquiry where Grade 6-9 teachers and principals from the TCDSB and TDSB learned together about Growth Mindset and Mathematics. Using the work of Carol Dweck and Jo Boaler, as well as suggested practices recommended by the math departments of both the TCDSB and the TDSB, teachers and principals explored together the potential long-term effects of infusing the three-part lesson with concepts and language that would encourage a growth mindset stance in learning mathematics. Together, participants learned about Growth Mindset, devised strategies for promoting Growth Mindset, and applied these in their own practice. Over the course of the 2014-2015 school year, members of this Collaborative Inquiry group monitored students' attitudes and achievement in mathematics as they explicitly incorporated Growth Mindset teaching strategies into their lessons. In this workshop, participants will be introduced to activities they can use to teach students explicitly about Growth Mindset and Metacognition in the context of a mathematics classroom. They will reflect on their own mindsets about mathematics, and acquire tools to monitor the promotion of Growth Mindset in their classroom. The presenters will share what members of the Collaborative Inquiry group discovered through their work together, and provide participants with interactive experiences that they can replicate in their own classrooms. This presentation will be of interest to teachers, administrators, and anyone interested in Collaborative Inquiry as a promising practice for professional learning. 72 CODE & LEVEL F4.10 K/P TITLE Young Mathematicians: Using Pedagogical Documentation to Uncover Children's Mathematical Thinking and Theories PRESENTER(S) Lynn Strangway DESCRIPTION THIS IS A DOUBLE SESSION. This session will focus on the use of pedagogical documentation to uncover young mathematicians' theories and thinking. The facilitators will use different forms of pedagogical documentation and provocations in an interactive session focused on young children's mathematical thinking and learning from kindergarten to grade 3; and the responsive pedagogy related to the learning. F4.11 All Transforming Your Mathematics Classroom with Video Podcasts Robin Kay THIS IS A DOUBLE SESSION. YouTube is visited over 2 billion times per day. Today's net-generation is clearly tuned into video-based presentation of information. Why not take advantage of video podcasts to transform your classroom? This session will help any teacher create and store video podcasts in less than 10 minutes guaranteed. Participants in this workshop will learn how to integrate video podcasts smoothly and effectively into their everyday teaching practices. Specifically, participants will learn how to develop effective video podcasts to support administrative tasks (e.g., describing assignments, sending instructions), instructionbased activities (e.g., describing concepts or how to solve a problem), the creation of flipped-classroom modules, student assignments, and high quality assessment (e.g., formative and summative feedback). Finally, participants will be provided with materials to support video podcasting in the classroom, as well links to collections of pre-made instructional video podcasts. F4.12 P/J Fostering Positive Math Mindsets in the Early Years simona emiliani THIS IS A DOUBLE SESSION. This session supports teachers with understanding how to foster positive math mindsets that set all students up for future success in Mathematics and will identify strong intervention strategies that align with the different paces at which students learn. Many of the routines shared in this workshop are taken from Number Sense Routines by Jessica F. Shumway. Number Routines are strategically-selected routines that require students to study the relationship between numbers in a series in order to gain proficiency with mental math. If effectively implemented, number routines can reduce "math phobia" and instill an inherent appreciation and excitement for numbers at an early age. Educators will take away concrete daily number routines that can be immediately implemented in the classroom that lead to deeper understanding of number relationships for both students and educators. All discussions and activities will be supported by video/audio clips and other artifacts collected throughout the school year that track four classes from K-3 in Model Schools and that evidence student and teacher progress as a result of effective implementation of number routines. Participants will also receive a package for students to use at home with parents/caregivers to continue fostering a love of math along with strong foundational math skills for future success. 73 CODE & LEVEL F4.13 J TITLE Stepping Towards Multiplicative Thinking: What does it look and sound like and how do we respond? PRESENTER(S) Julie MacLeod DESCRIPTION THIS IS A DOUBLE SESSION. Through hands-on experiences, use of Ministry resources and samples of student work, participants will begin the conversation about how students develop multiplicative thinking. Specifically this session will address: What is the difference between additive and multiplicative thinking? How might we recognise this difference in students? What are the developmental phases associated with movement from additive to multiplicative thinking? How do we design learning opportunities involving tasks, tools and talk that help students make the shift from additive to multiplicative thinking? F4.14 J/I Arithmetic Games for Fun and Profit Lorna Morrow THIS IS A DOUBLE SESSION. Help students develop facility with number sense, computation, and logic in relaxed and enjoyable situations. Explore a dozen games and take home game boards and some accessories to start playing games tomorrow in class. Come and have fun! F4.15 J Comparing and Operating With Fractions Keith Van De Keere F4.16 P/J Games for Gains! Sherri Wylie THIS IS A DOUBLE SESSION. This workshop will show activities that reveal the big ideas involved in comparing and operating with fractions. These include: connections between division and fractions using context to help students to talk about and see the math using models to represent student thinking and to show the math THIS IS A DOUBLE SESSION. A hands on workshop using manipulatives (pattern blocks, tangrams, cuisenaire rods, linking cubes), cards, and dice to play games that can be differentiated for grades 2-6. The games can be used to develop mathematical concepts for students and build content knowledge for teachers. We will focus on the modeling of games and getting students to use "math talk" to enhance their understanding and improve communication. We will model the games, play the games, build mathematical concepts (e.g., fractions from grade 2-6), and view video clips from various classrooms. We will hear from teachers about how games have changed their mathematical practice, and supported assessment for learning. We will also hear students discuss how games have changed and supported their mathematical learning and changed their math experiences. F4.17 J/I Math Centers in Intermediate? You Betcha! Vera C. Teschow THIS IS A DOUBLE SESSION. Co-facilitated by an Intermediate classroom teacher and a Board instructional coach, this session explores a practical, differentiated approach to support the notion that ALL students can learn math and have fun doing so! Participants will explore actual classroom learning centers (including technology), consider implications for assessment, evaluation and reporting to families, and have time to begin developing their own curriculum-based classroom math centers. Many practical and classroom-ready handouts and resources will be shared! 74 CODE & LEVEL F4.18 P/J/I TITLE EduGAINS Mathematics: Paying Attention to Proportional Reasoning PRESENTER(S) Fred Van Elburg Dan Peter Dwight Stead DESCRIPTION THIS IS A DOUBLE SESSION. In 2011 the Ontario Ministry of Education released Paying Attention to Mathematics Education. One of the foundational principles from this document is to focus on important mathematics. This session will focus on proportional reasoning and is based on the Ministry document Paying Attention to Proportional Reasoning, released in 2012. In the summer of 2014, an Adobe Connect Series engaged educators in components from Paying Attention to Proportional Reasoning such as multiplicative thinking, unitizing, and proportional and nonproportional reasoning. This session, presented by the same facilitators, will engage participants in these important components. The goals for this double session are for participants to: develop mathematical knowledge of proportional reasoning; deepen their knowledge of teaching proportional reasoning; investigate the grades K-12 perspective for proportional reasoning. F4.19 K/P/J Mental Math Using Number Strategies and Visual Models Monica Rohel Cary Hogan THIS IS A TRIPLE SESSION (OFFSITE). Do you wonder how to develop your students' mental math abilities? Do you have questions about how to incorporate mental math in your lessons and throughout the school day? This hands-on and engaging workshop will explore concepts in mental math, including strategies for developing number sense and numeration. Participants will be engaged in hands-on activities involving board writing, tools, and technology. They will also have the opportunity to observe and engage in mental math activities with students in a classroom. Sample activities will be shared with all participants. PARTICIPANTS ARE TO MEET AT THE HOSPITALITY TABLE. F4.20 I/S Building Spatial Sense to help Students Mathematically I/S DIANE TEPYLO How is spatial reasoning related to mathematics? This session will explore how spatial reasoning impacts mathematics learning and what teachers need to know to support mathematics with spatial reasoning in their classrooms. This session will include classroom examples from Grades 7-12. F4.21 J/I Building Math Models for Meaningful Social Justice Teaching Beth Alexander Students are motivated to learn math skills that help make the world a better place. This session will explore activities designed to get students building physical models that represent real-world data. Building these models will help reinforce concepts from integers to algebra. We will also discuss strategies for dealing with social justice topics in ways that are productive, equitable, and meaningful to students. F4.22 J Great Ideas for Teaching Junior Geometry MIKE JACOBS This hands-on session will look at how we can get kids to truly learn about Geometry. We will use polydrons to construct nets, geoboards to create impossible shapes, see how we can use the work of M.C. Escher to explore transformations and create the world's cheapest manipulative. 75 CODE & LEVEL F4.23 I/S TITLE Growth Mindsets: Getting the best effort and performance out of your math students PRESENTER(S) Jay Speijer DESCRIPTION In this session participants will explore tools and strategies that foster growth mindsets in mathematics. How can my students become confident risk takers? How can they improve test performance? How can I provide multiple and varied opportunities to demonstrate learning in practical and manageable ways? What role do observations and conversations play? What about professional judgment? And at the end of the day, how do I ensure that the professional integrity of the mathematics program is maintained? These questions and others will frame discussions that will focus on setting high expectations for all students and providing support for reaching them. F4.24 I Building growth mind sets with split academic/applied Grade 9 classes BRUCE MCLAURIN Applied or Academic? The decision by students and their parents is often based on outdated notions concerning university acceptance. Students frequently choose grade 9 Academic but it may not match their learning style or their skills. The students who do enrol in Applied classes frequently enter with a sense of failure and a lack of confidence and motivation. We have formed Applied/Academic split classes as a response to these issues. To provide for their diverse skills and talents, we have developed collaborative problem solving activities that permit a wide range of entry points. In this session we will share our challenges. F4.25 P 5-Minute Strategies to Increase Early Number Sense with Struggling Primary Learners Kristen Goberis We will share how the ideas of a child's growth mindset led us on a journey to improve number sense in the early years. Our inquiry focused on how to support the development of number sense in struggling young learners. Come explore and examine hands on activities designed to boost skills in counting, quantity and relationships. We will share ideas for diagnostics and assessment that worked. This session will focus on kindergarten to grade 2 learners. F4.26 P/J Impact through Inquiry: Improving Student Achievement in Junior Mathematics, UCDSB Tracey Moffatt Lorelee Hamilton Michael Kennedy Christopher Stewart Tracy Armstrong Nichola Bond THIS IS A DOUBLE SESSION. In recent years, Ontario Educators have been watching students' engagement and achievement in Mathematics decline. As we believe that ALL students can learn Mathematics, and do so well, we have accepted responsibility for the struggles that many of our students experience in Mathematics. As a result of our Program Department's efforts and implementation of several classroom strategies by teachers, our Board has documented and measured spectacular growth in students' abilities to solve math problems in Grade 6 Patterning & Algebra along with improvement in flexible use of number. During this workshop, participants will have an opportunity to engage in collaborative, group study, in the area of Junior Mathematics (i.e., Patterning & Algebra) and reflect upon how this type of experience might apply to their own practice. Participants will then hear about how this type of study has greatly impacted student achievement in the Upper Canada DSB. 76 CODE & LEVEL F4.27 I/S TITLE Autograph Math Software Workshop PRESENTER(S) Betty Temmer F4.28 I A Tangy Mix - Fraction to Ratio to Algebraic Thinking David Watson David DeBelle Rudy Neufeld DESCRIPTION THIS IS A PRODUCT SESSION. Autograph is a leading edge dynamic software used in math classrooms world wide. This double session hands-on workshop will give you enough basics to be comfortable using Autograph in your classroom on Monday. Autograph is intuitive to learn, comprehensive in its range of applications and visually appealing. We will look at 2D and 3D graphing and statistics and probability. Bring a laptop with the trial version installed from www.autograph-maths.com. Participants will receive a free copy of the software. THIS IS A PRODUCT SESSION. We will model 3 part lessons to address the conceptual connection from fraction to ratio to algebraic thinking. Specific lessons aligned to Ontario Expectations will model differentiated instruction through multiple entry points as well as multisensory experiences within diverse learning environments. Participants will be given access to software and lessons to support both content and instruction. (grades 6 to 8) F4.ThreadConcept Thread: Concept Study: All Teachers CoConstructing Mathematics KATHY KUBOTAZARIVNIJ Brent Davis If multiplication is repeated addition, how does one go about adding 1.2 to itself 3.4 times? Questions like these will be investigated through "Concept Study"-- a systematic set of research-based strategies collectively co-constructed by kindergarten to grade 12 teachers to deepen their own understanding of math content, while supporting their students' understanding. This thread consists of 5 sessions, including: T4-T5, F4-F5, and S3. F4.ThreadLD J/I Connie Quadrini Connie Gray Classroom teachers of mathematics, special education teachers, and professional learning facilitators are invited to participate in this innovative thread! Students with learning disabilities have average to above average cognitive ability and therefore great potential to learn mathematics. So what’s important to know and understand about the challenges that these students face when learning mathematics? This interactive session will provide educators with the opportunity to develop understanding of the profile of students with learning disabilities. Through experiencing math specific simulations, they will gain insights into the cognitive processes that impact students' mathematics learning. During this session, educators will apply new perspectives and insights gained as they work collaboratively to unpack the IEPs of students with learning disabilities through a mathematics lens, and analyze mathematical tasks and student thinking. In addition, they will consider next steps for student learning including selection of precise and personalized accommodations that leverage student strengths and respond to needs. Interventions for students with learning disabilities will be explored with a focus on assessing students' mathematical readiness, and selecting appropriate resources and supports that move these students forward in their mathematics learning. This thread consists of 5 sessions, including: T4-T5, F4-F5, and S3. Thread: Supporting Students with Learning Disabilities in Mathematics 77 CODE & LEVEL F4.ThreadTech J/I TITLE Thread: Manipulating Mathematical Thinking with Technology F5.00-Ignite All OAME 2015 Ignite F5.01 I/S Featured Session: Mathematical Modeling in Abu Dhabi: Architecture, design and mathematics PRESENTER(S) CAROLINE ROSENBLOOM Mirela Ciobanu Ron Lancaster DESCRIPTION In Session 1 of the thread : Manipulating Mathematical Thinking with Technology. As a novice or a tech-savvy educator, we will provide steps you can take to contextualize tool technologies in your mathematics instructional design. These strategies will deepen students’ ability to think critically as they participate as knowledgeable, reflective, creative and analytical members of a collaborative digital space. We will show how technology for instruction and assessment was used in our partnership project where students were part of a learning community to discover, explore, and conjecture about mathematical ideas collaboratively and cross-culturally. In Part 2 of this thread. Successful students can fluently “see” mathematical relationships. During this session, participants will engage in problem solving and use various models of representations, including the Singapore Model Drawing and the open number line model used in Japan. Additionally, we will explore how dynamic technologygenerated representations are easily manipulated to increase students’ ability to identify the relationships between known and unknown quantities in the problems they solve. We will share samples of collaboratively generated problem representations, as a result of the mathematical partnership created among various math classroom communities. In Part 3 of this thread we will show the role parents play as critical members in our learning partnership for student success. From parent engagement sessions to classroom blogs, we will explore different ways technology can be used to link the home and school to involve parents in our learning community. This thread consists of 5 sessions, including: T4-T5, F4-F5, and S3. BYOD for the full experience! THIS IS A DOUBLE SESSION. What is Ignite? Ignite is a unique event that has been hosted in over 100 countries worldwide. At these events, Ignite presenters share their personal and professional passions, using 20 slides that auto-advance every 15 seconds for a total of just five minutes. Now, OAME 2015, in partnership with Ignite, gives you the opportunity to listen to some of North America’s leading mathematics educators and researchers, speak in this exciting format. Your lineup of speakers includes: Nora Newcombe, Dan Meyer, David Petro, Alex Overwijk, Caroline Rosenbloom, Jonathan So, Kyle Pearce, Amy Lin, Sunil Singh, Matthew Oldridge, Dr. Chris Suurtamm, Mary Bourassa, Ron Lancaster, Marian Small, Paul Alves and more. Join us for the continuation of a tradition at your favourite mathematics conference: OAME 2015 Ignite! We will examine mathematical models and activities related to astonishing buildings in Abu Dhabi, including one that responds to sunlight and another in the shape of a circle. We will discuss connections between the 7-12 mathematics curriculum, architecture and design and how mathematical modeling can be done with buildings anywhere in the world. 78 CODE & LEVEL F5.02 K/P/J/I/S TITLE The Paying Attention to __ Mathematics Documents PRESENTER(S) Sharon Ulett-Smith DESCRIPTION Do you have a passion for “Paying Attention to Mathematics Education”? Join us for an overview of what this series of documents has to offer in increasing content knowledge for teaching in four critical mathematics content areas: proportional reasoning, algebraic reasoning, spatial reasoning, and fractions.<BR> Stay and explore the Ministry of Education Mathematics K-12 Resource room, including: EduGAINS – Mathematics K-12, mathies, Ontario Education Resource Bank (OERB), Blended Learning packages, ministry licensed digital supports, Homework Help, Critical Learning Instructional Path Supports (CLIPS), Gap Closing and ePractice, Financial Literacy, lesson planning supports, and resources to support professional learning facilitators of mathematics. F5.03 I Getting Students' Minds On Math and Connected to the Lesson! Ereney Shenouda THIS IS A DOUBLE SESSION. Do you want to see students focused on math as soon as they walk into your class? Would you like to be able to give them immediate feedback of their understanding on a daily basis? Well, this is possible! After using the TI-Nspire CX Navigator System, with the TI-Nspire CX Handhelds alongside Mobi Tablets, I can't imagine a lesson without them. These technologies are excellent tools for hands-on learning, different types of assessments, student led teaching and the list goes on. In this session, we'll explore a variety of lessons for grades 9-10 math and you'll observe and experience the power of the combination of TI Nspires, TI Navigator and the Mobi tablet! F5.04 P/J/I Learning to visualize Sarah Naqvi Zack through “quick image” Hawes Beverly activities: Building spatial Caswell Joan Moss and numerical reasoning for students of all ages THIS IS A DOUBLE SESSION. Visualization, the ability to create, maintain, and manipulate visual images in one’s mind, is a powerful tool in the teaching and learning of mathematics. Research has shown that students who reason from images tend to be successful mathematics students. Yet, despite the importance of visualization, this topic remains a neglected area of elementary mathematics instruction. In our 2-part interactive session we will explore a series of quick image activities, designed and field-tested by our Math for Young Children research team in a wide range of urban and rural classrooms. Quick image work, as the name implies, invites students to have a quick look at an image, or object and then to either recreate, describe or transform it. These visualization activities involve students in drawing, cutting, mentally rotating, building in 2- and 3-dimensions both from models and from memory. Designed to access geometric concepts such as transformations and symmetry, location and orientation, perspective taking and spatial language, our research has shown that not only do these activities support growth/competence in geometry, spatial reasoning and number sense, but that these activities are also easy to teach and highly engaging for students. 79 CODE & LEVEL F5.05 J/I TITLE Growing the Mind Set of Exceptional Grade 9 Students PRESENTER(S) THACH-THAO PHAN DESCRIPTION As Learning Support/Math teachers, we will share our experiences of engaging and supporting exceptional grade 9 students in the classroom by incorporating strategies of growth mind set - math talks, cooperative learning, engagement activities, and differentiated assessment. We will discuss common issues of Applied and Academic students and accommodating the spectrum of exceptionalities, and share the strategies and activities that have and haven't worked for us. F5.06 I/S Rock Your Math Class!! Awesome Classroom Activities! Jon Orr THIS IS A DOUBLE SESSION. Want to bring your class to life? Try these awesome activities!!! We'll stack cups and race cars for linear relations! We'll look at Super Mario for linear, quadratic and exponential models. Come ready to see and experience hands-on inquiry based lessons. Walk out with lessons ready to try when you get back to the classroom. We'll also learn a little about the ultimate graphing calculator - Desmos! Bring your device! F5.07 I/S How Can We Engage Our Students in Meaningful Mathematics to Increase the Probability of Greater Student Achievement JEFF IRVINE THIS IS A DOUBLE SESSION. Student engagement is recognized as a key determinant of achievement. This double session will explore ways of gaining and sustaining student engagement in mathematics classrooms. A key feature of the session will be sharing of ideas, by the presenter and by the participants. There are lots of great things being done in math classrooms that engage students. Among the dimensions we will look at are the intelligent use of technology; investigations and problem solving; ways to increase student choice; cooperative learning and other instructional strategies; focusing on the big ideas of mathematics; focusing on the mathematical process expectations; math talk learning communities; challenging but achievable curriculum; and others. My classroom had a large banner across the back that read "Mathematics is Not a Spectator Sport". There is no such thing as passive learning, and this session will provide a wealth of ideas to keep your students active and engaged throughout the learning process. F5.08 P/J/I Using Social Justice Math to Develop Student Voice, Mindset and Character Alicia Gunn Jonathan So THIS IS A DOUBLE SESSION. Social justice math happens when students solve problems using numbers in a context that really matters. Students become passionate and empowered as they use math to read and write the world. Teaching mathematics for a better world helps students develop voice and see themselves as capable learners and change makers. Participating teachers will discuss how teaching mathematics through a social justice lens improves students’ attitudes and feelings about math, as well as their effort and critical thinking skills. Participants will work through social justice math problems, hear from students about their experiences and look at current resources. They will also plan a relevant and engaging social justice math lesson to take back to their classroom. 80 CODE & LEVEL F5.09 J/I TITLE Exploring Growth Mindset in Mathematics at the Middle School Level: A Co-Terminus Project to Support the Transition of Students in Grades 6-9 PRESENTER(S) Gianna Helling Katharine Piotrowski Nancy Steinhauer DESCRIPTION THIS IS A DOUBLE SESSION. In this workshop, presenters will describe a Collaborative Inquiry where Grade 6-9 teachers and principals from the TCDSB and TDSB learned together about Growth Mindset and Mathematics. Using the work of Carol Dweck and Jo Boaler, as well as suggested practices recommended by the math departments of both the TCDSB and the TDSB, teachers and principals explored together the potential long-term effects of infusing the three-part lesson with concepts and language that would encourage a growth mindset stance in learning mathematics. Together, participants learned about Growth Mindset, devised strategies for promoting Growth Mindset, and applied these in their own practice. Over the course of the 2014-2015 school year, members of this Collaborative Inquiry group monitored students' attitudes and achievement in mathematics as they explicitly incorporated Growth Mindset teaching strategies into their lessons. In this workshop, participants will be introduced to activities they can use to teach students explicitly about Growth Mindset and Metacognition in the context of a mathematics classroom. They will reflect on their own mindsets about mathematics, and acquire tools to monitor the promotion of Growth Mindset in their classroom. The presenters will share what members of the Collaborative Inquiry group discovered through their work together, and provide participants with interactive experiences that they can replicate in their own classrooms. This presentation will be of interest to teachers, administrators, and anyone interested in Collaborative Inquiry as a promising practice for professional learning. F5.10 K/P Young Mathematicians: Using Pedagogical Documentation to Uncover Children's Mathematical Thinking and Theories Lynn Strangway THIS IS A DOUBLE SESSION. This session will focus on the use of pedagogical documentation to uncover young mathematicians' theories and thinking. The facilitators will use different forms of pedagogical documentation and provocations in an interactive session focused on young children's mathematical thinking and learning from kindergarten to grade 3; and the responsive pedagogy related to the learning. 81 CODE & LEVEL F5.11 All TITLE Transforming Your Mathematics Classroom with Video Podcasts PRESENTER(S) Robin Kay DESCRIPTION THIS IS A DOUBLE SESSION. YouTube is visited over 2 billion times per day. Today's net-generation is clearly tuned into video-based presentation of information. Why not take advantage of video podcasts to transform your classroom? This session will help any teacher create and store video podcasts in less than 10 minutes guaranteed. Participants in this workshop will learn how to integrate video podcasts smoothly and effectively into their everyday teaching practices. Specifically, participants will learn how to develop effective video podcasts to support administrative tasks (e.g., describing assignments, sending instructions), instructionbased activities (e.g., describing concepts or how to solve a problem), the creation of flipped-classroom modules, student assignments, and high quality assessment (e.g., formative and summative feedback). Finally, participants will be provided with materials to support video podcasting in the classroom, as well links to collections of pre-made instructional video podcasts. F5.12 P/J Fostering Positive Math Mindsets in the Early Years simona emiliani Christina Stone THIS IS A DOUBLE SESSION. This session supports teachers with understanding how to foster positive math mindsets that set all students up for future success in Mathematics and will identify strong intervention strategies that align with the different paces at which students learn. Many of the routines shared in this workshop are taken from Number Sense Routines by Jessica F. Shumway. Number Routines are strategically-selected routines that require students to study the relationship between numbers in a series in order to gain proficiency with mental math. If effectively implemented, number routines can reduce "math phobia" and instill an inherent appreciation and excitement for numbers at an early age. Educators will take away concrete daily number routines that can be immediately implemented in the classroom that lead to deeper understanding of number relationships for both students and educators. All discussions and activities will be supported by video/audio clips and other artifacts collected throughout the school year that track four classes from K-3 in Model Schools and that evidence student and teacher progress as a result of effective implementation of number routines. Participants will also receive a package for students to use at home with parents/caregivers to continue fostering a love of math along with strong foundational math skills for future success. 82 CODE & LEVEL F5.13 J TITLE Stepping Towards Multiplicative Thinking: What does it look and sound like and how do we respond? PRESENTER(S) Julie MacLeod MAXINE HIGHET DESCRIPTION THIS IS A DOUBLE SESSION. Through hands-on experiences, use of Ministry resources and samples of student work, participants will begin the conversation about how students develop multiplicative thinking. Specifically this session will address: What is the difference between additive and multiplicative thinking? How might we recognise this difference in students? What are the developmental phases associated with movement from additive to multiplicative thinking? How do we design learning opportunities involving tasks, tools and talk that help students make the shift from additive to multiplicative thinking? F5.14 J/I Arithmetic Games for Fun and Profit Lorna Morrow THIS IS A DOUBLE SESSION. Help students develop facility with number sense, computation, and logic in relaxed and enjoyable situations. Explore a dozen games and take home game boards and some accessories to start playing games tomorrow in class. Come and have fun! F5.15 J Comparing and Operating With Fractions Keith Van De Keere THIS IS A DOUBLE SESSION. This workshop will show activities that reveal the big ideas involved in comparing and operating with fractions. These include: - F5.16 P/J Games for Gains! Sherri Wylie Kendra Frolander THIS IS A DOUBLE SESSION. A hands on workshop using manipulatives (pattern blocks, tangrams, Cuisenaire rods, linking cubes), cards, and dice to play games that can be differentiated for grades 2-6. The games can be used to develop mathematical concepts for students and build content knowledge for teachers. We will focus on the modeling of games and getting students to use "math talk" to enhance their understanding and improve communication. We will model the games, play the games, build mathematical concepts (e.g., fractions from grade 2-6), and view video clips from various classrooms. We will hear from teachers about how games have changed their mathematical practice, and supported assessment for learning. We will also hear students discuss how games have changed and supported their mathematical learning and changed their math experiences. F5.17 J/I Math Centers in Intermediate? You Betcha! Vera C. Teschow Lise Grimwood THIS IS A DOUBLE SESSION. Co-facilitated by an Intermediate classroom teacher and a Board instructional coach, this session explores a practical, differentiated approach to support the notion that ALL students can learn math and have fun doing so! Participants will explore actual classroom learning centers (including technology), consider implications for assessment, evaluation and reporting to families, and have time to begin developing their own curriculum-based classroom math centers. Many practical and classroom-ready handouts and resources will be shared! 83 CODE & LEVEL F5.18 P/J/I TITLE EduGAINS Mathematics: Paying Attention to Proportional Reasoning PRESENTER(S) Daniel Peter Fred Van Elburg Dwight Stead DESCRIPTION THIS IS A DOUBLE SESSION. In 2011 the Ontario Ministry of Education released Paying Attention to Mathematics Education. One of the foundational principles from this document is to focus on important mathematics. This session will focus on proportional reasoning and is based on the Ministry document Paying Attention to Proportional Reasoning, released in 2012. In the summer of 2014, an Adobe Connect Series engaged educators in components from Paying Attention to Proportional Reasoning such as multiplicative thinking, unitizing, and proportional and nonproportional reasoning. This session, presented by the same facilitators, will engage participants in these important components. The goals for this double session are for participants to: develop mathematical knowledge of proportional reasoning; deepen their knowledge of teaching proportional reasoning; investigate the grades K-12 perspective for proportional reasoning. F5.19 K/P/J Mental Math Using Number Strategies and Visual Models Monica Rohel Cary Hogan THIS IS A TRIPLE SESSION (OFFSITE). Do you wonder how to develop your students' mental math abilities? Do you have questions about how to incorporate mental math in your lessons and throughout the school day? This hands-on and engaging workshop will explore concepts in mental math, including strategies for developing number sense and numeration. Participants will be engaged in hands-on activities involving board writing, tools, and technology. They will also have the opportunity to observe and engage in mental math activities with students in a classroom. Sample activities will be shared with all participants. PARTICIPANTS ARE TO MEET AT THE HOSPITALITY TABLE. F5.20 K/P Numeracy Planning Time (K-3)? What's that all about? Elizabeth Maitland Does your school have a strong numeracy focus? Are you thinking about a different way to support both teachers and students in numeracy? In this session, learn how Kindergarten and Primary Numeracy planning time roles have been implemented to support a vision of building a collaborative learning culture that reinforces number sense concepts in K-3. Find out about how it all started, the kinks, the setbacks, and of course, the successes that we've encountered throughout the initial year in both FDK and the primary grades...and where we're hoping to go next! 84 CODE & LEVEL F5.21 I/S TITLE MathsJam! PRESENTER(S) Dan Allen Chad Richard DESCRIPTION First the Beatles, then One Direction and now for the next British Invasion: MathsJam! MathsJam is a monthly opportunity for like-minded self-confessed maths enthusiasts to get together and share stuff they like. Puzzles, games, problems, or just anything they think is cool or interesting. We will be bringing along tasks we have used and will be encouraging participants to bring along their own favorite problems, games and so on. In your school, MathsJam fosters student & teacher engagement and allows classrooms to connect internationally in a recreational mathematics environment. It encourages professional discourse, rich math talk and the sharing of rich tasks. Visit www.mathsjam.com to see how it has spread internationally! We will be live tweeting the session using the hashtag #OAMEMathsJam! F5.22 K/P/J/I Build Teacher Leadership Capacity in Mathematics - A school's journey Amy Platt This session will describe the journey one school took to build leadership capacity among elementary teachers - specifically in the area of school culture and mathematics teaching. Three different in-school elective PLCs will be described and the way they came together to build math instructional capacity will be explored. Participants will have an opportunity to think about how they could develop math teacher leadership through a similar process. F5.23 I/S CANCELLED Mais oui!!! Des ressources de mathématiques gratuites disponibles - en français! Version secondaire. LISE GALUGA Les enseignants francophones de l’Ontario ont accès à de multiples ressources produites par des institutions franco-ontariennes. Ces ressources sont gratuites et disponibles sur Internet pour une utilisation en tout temps et en tout lieu. Venez : › naviguer les sites des partenaires en éducation de l’Ontario; › connaître les ressources gratuites disponibles au personnel scolaire de l’Ontario. F5.24 S Making the MDM4U Culminating Assignment Worthwhile Stefano Stradiotto In this session I will explore the culminating assignment which I have developed for my grade 12 data management class. For this assignment, I encourage my students to design their own survey about a possible "cause and effect" relationship that is of interest to them and frame it as an investigation/research study. They use their survey to collect data from their classmates or friends, analyze the data and make conclusions about what they have found and what it all means. This assignment not only engages the students with the material they are learning in the MDM4U course but it prepares them for the type of statistical research they may encounter at the post-secondary level. All of my resources will be shared with attendees. 85 CODE & LEVEL F5.25 I/S TITLE Developing Growth Mindsets by Facilitating Collaborative Inquiry for Teachers PRESENTER(S) Sharon Young DESCRIPTION This session will invite participants to gather and try out strategies to facilitate collaborative inquiry for teaching teams, including those looking to nurture growth mindsets with their students. The strategies shared have been very successful when used with teaching teams looking to improve their practice in response to urgent student learning needs. Sign up for this session to learn more about building consensus in goal setting, planning with groups, and strategies to keep the work momentum going, including data collection, analysis, assessment and reflection. (Some content modified from Collaborative Inquiry for Educators: A Facilitators Guide to School Improvement by Jenni Donohoo.) F5.26 P/J Impact through Inquiry: Improving Student Achievement in Junior Mathematics, UCDSB Tracey Moffatt Lorelee Hamilton Michael Kennedy Christopher Stewart Tracy Armstrong Nichola Bond THIS IS A DOUBLE SESSION. In recent years, Ontario Educators have been watching students' engagement and achievement in Mathematics decline. As we believe that ALL students can learn Mathematics, and do so well, we have accepted responsibility for the struggles that many of our students experience in Mathematics. As a result of our Program Department's efforts and implementation of several classroom strategies by teachers, our Board has documented and measured spectacular growth in students' abilities to solve math problems in Grade 6 Patterning & Algebra along with improvement in flexible use of number. During this workshop, participants will have an opportunity to engage in collaborative, group study, in the area of Junior Mathematics (i.e., Patterning & Algebra) and reflect upon how this type of experience might apply to their own practice. Participants will then hear about how this type of study has greatly impacted student achievement in the Upper Canada DSB. F5.27 I/S Autograph Math Software Workshop Betty Temmer THIS IS A PRODUCT SESSION. Autograph is a leading edge dynamic software used in math classrooms world wide. This double session hands-on workshop will give you enough basics to be comfortable using Autograph in your classroom on Monday. Autograph is intuitive to learn, comprehensive in its range of applications and visually appealing. We will look at 2D and 3D graphing and statistics and probability. Bring a laptop with the trial version installed from www.autograph-maths.com. Participants will receive a free copy of the software. 86 CODE & LEVEL F5.28 I/S TITLE Descriptive Feedback vs. Marks PRESENTER(S) Mylène Abi-Zeid DESCRIPTION Students value what they believe their teacher values. In this session, we will examine descriptive feedback, its advantages and challenges in our everyday classroom, and possible strategies for effectively implementing descriptive feedback. Also, we will discuss how we can help students to grow their mindset and improve their understanding in math class. I have moved away from numbers/levels on evaluations and instead, provide only feedback to students. I will share the successes and challenges experienced by all in the math classroom. F5.29 P/J/I Shifting from Feedback to Feedforward Supporting growth mindsets in Mathematics through formative assessments Jamila Monahan Formative assessment and feedback is the most powerful tool we can use for promoting growth mindsets in the classroom. How do we use formative assessment to improve learning in mathematics? How can technology be used to provide feedback to students and enable them to improve their work? Within this workshop, our intention is to explore and develop new ways to use technology to improve assessment and promote growth mindsets. F5.ThreadConcept Thread: Concept Study: All Teachers CoConstructing Mathematics KATHY KUBOTAZARIVNIJ Brent Davis If multiplication is repeated addition, how does one go about adding 1.2 to itself 3.4 times? Questions like these will be investigated through "Concept Study"-- a systematic set of research-based strategies collectively co-constructed by kindergarten to grade 12 teachers to deepen their own understanding of math content, while supporting their students' understanding. This thread consists of 5 sessions, including: T4-T5, F4-F5, and S3. F5.ThreadLD J/I Connie Gray Connie Quadrini Classroom teachers of mathematics, special education teachers, and professional learning facilitators are invited to participate in this innovative thread! Students with learning disabilities have average to above average cognitive ability and therefore great potential to learn mathematics. So what’s important to know and understand about the challenges that these students face when learning mathematics? This interactive session will provide educators with the opportunity to develop understanding of the profile of students with learning disabilities. Through experiencing math specific simulations, they will gain insights into the cognitive processes that impact students' mathematics learning. During this session, educators will apply new perspectives and insights gained as they work collaboratively to unpack the IEPs of students with learning disabilities through a mathematics lens, and analyze mathematical tasks and student thinking. In addition, they will consider next steps for student learning including selection of precise and personalized accommodations that leverage student strengths and respond to needs. Interventions for students with learning disabilities will be explored with a focus on assessing students' mathematical readiness, and selecting appropriate resources and supports that move these students forward in their mathematics learning. This thread consists of 5 sessions, including: T4-T5, F4-F5, and S3. Thread: Supporting Students with Learning Disabilities in Mathematics 87 CODE & LEVEL F5.ThreadTech J/I TITLE Thread: Manipulating Mathematical Thinking with Technology PRESENTER(S) Mirela Ciobanu CAROLINE ROSENBLOOM DESCRIPTION In Session 1 of the thread : Manipulating Mathematical Thinking with Technology. As a novice or a tech-savvy educator, we will provide steps you can take to contextualize tool technologies in your mathematics instructional design. These strategies will deepen students’ ability to think critically as they participate as knowledgeable, reflective, creative and analytical members of a collaborative digital space. We will show how technology for instruction and assessment was used in our partnership project where students were part of a learning community to discover, explore, and conjecture about mathematical ideas collaboratively and cross-culturally. In Part 2 of this thread. Successful students can fluently “see” mathematical relationships. During this session, participants will engage in problem solving and use various models of representations, including the Singapore Model Drawing and the open number line model used in Japan. Additionally, we will explore how dynamic technologygenerated representations are easily manipulated to increase students’ ability to identify the relationships between known and unknown quantities in the problems they solve. We will share samples of collaboratively generated problem representations, as a result of the mathematical partnership created among various math classroom communities. In Part 3 of this thread we will show the role parents play as critical members in our learning partnership for student success. From parent engagement sessions to classroom blogs, we will explore different ways technology can be used to link the home and school to involve parents in our learning community. This thread consists of 5 sessions, including: T4-T5, F4-F5, and S3. BYOD for the full experience! S1.01 All Featured Session: Concept Study Becoming an Expert Who Can Think Like a Novice KATHY KUBOTAZARIVNIJ Brent Davis Jon said, "I don't get multiplication. How do I multiply "pi" by itself r-squared times? During this session, participants will experience aspects of "Concept Study" - a systematic set of research-based strategies, collectively co-constructed by kindergarten to grade 12 teachers to develop their math content knowledge and understand what it takes to learn mathematics as a novice. S1.02 J/I Experimenting with mindsets for equitable mathematics teaching Indigo Esmonde This session is presented by a group of researchers and teachers who have been working together on action research projects for equitable mathematics teaching for 5 years. We will discuss some of the interventions we have used to try to promote growth mindsets, the results of those interventions, and our reflections on the use of mindset interventions to support equitable mathematics teaching and learning. S1.03 I OAME/MoE/OMCA Grade 9 Applied Math Collaborative Project TBA This year OAME, in conjunction with the Ministry of Education and OMCA, are running a project to improve student learning in Grade 9 Applied Math. Come to a session where we will share our experiences and what we have learned. 88 CODE & LEVEL S1.04 P/J/I TITLE Project Based Learning in the Mathematics Classroom PRESENTER(S) Rhonda Hergott DESCRIPTION An overview of successful Project Based Learning units in the mathematics classroom. Specifically, how to assess, how to monitor progress, how to cover core curriculum in a project setting, how to implement differentiated instruction, how to bring authenticity to the math concepts being covered which result in a higher understanding and retention. Example of a student created documentary on building a geodesic dome in a grade 7 math class: http://www.youtube.com/watch?v=4q8uteX-bUU S1.05 All Using Technology to Promote Spatial Reasoning in Intermediate Math Classes Co-teaching & Collaboration in the Junior Math Classroom sharla mackinnon This session will provide you with digital resources and strategies to engage your students while promoting the use of spatial thinking within and beyond geometry. Meaningful and playful opportunities will be provided to investigate and explore spatial reasoning using concrete and virtual materials. Sandra Chow Co-teaching is quickly becoming a buzzword amongst educators. What is coteaching? How does it work? Does it improve student achievement in mathematics? Will it address the needs of Special Need students? Join our journey as a teaching team as we share various forms of collaboration and co-teaching in a one-to-one laptop environment to support student learning. This session will include web 2.0 tools (e.g. Google Docs, Class Dojos, Crowdmark) for co-planning, co-instructing and co-assessing. Practical considerations such as time and space will also be addressed. S1.07 J Fractions and Decimals: One Big Idea Keith Van De Keere Decimals and fractions are key areas of number sense that students need for success in Junior High Math. We will look at: - meaningful activities to promote a deep understanding of decimals - decimals as an extension of our place value system and as fractions with special rules - work with “unit fractions” and “unit decimals” misconceptions that kids may have regarding decimals S1.08 I Scoring an EQAO Grade 9 Paul Hogue Applied or Academic Mathematics OpenResponse Question in a Group S1.06 J/I/S Have you ever had the opportunity to work with other educators in the province and discuss student work on an EQAO Grade 9 Applied or Academic mathematics openresponse question? During this session, you will first learn about EQAO’s processes regarding how a question is developed, how EQAO maps questions to the categories of knowledge and skills, and how EQAO scores open-response questions using the codes 10, 20, 30 and 40. After describing the process used in EQAO’s Range-Finding sessions, you will work on a Grade 9 Applied or Academic question in a small group. You will discuss the student responses with your group members and decide what code to assign. Each group will select a sample of student work at each code to represent the codes and the anchors that were selected by the EQAO Range-Finding committee will also be revealed. 89 CODE & LEVEL S1.09 I TITLE Homework Help: Supporting Teachers In & Out of the Classroom PRESENTER(S) Christina Georgopoulos DESCRIPTION Free tutoring for students, lesson plans and resources all conducted and created by Ontario Certified Math Teachers! Homeworkhelp.ilc.org is a Ministry of Education initiative which provides math support for teachers and students in grade 7 through 10. Homework Help is easy to navigate and has many educational tools & activities for students-all free of charge. You will leave this workshop knowing how to register, how to incorporate HH resources into your classroom, the strategies our tutors use to help students excel and how HH can contribute to the success of your students. Come try your hand at online learning with Homework Help! S1.10 K/P/J/I Parents are part of the equation -working with parents to support student mathematicians Kathleen Corrigan Parents can be a positive, integral part of their children’s mathematics learning. We know that parents want to support their children’s learning but they may not always know how. Join us as we explore effective ways to engage parents and help them be enthusiastic members of the learning team. We will highlight Ministry tools, games, and apps from sources such as mathies, CLIPS, and WINS that will excite and encourage family mathematics. S1.11 P/J/I CANCELLED Building Student Math Efficacy Through Accountable Talk: Math Buddies Jennifer Nalon The knowledge and skills needed to be a competent problem solver in math is complex. To help facilitate growth in primary, junior, and intermediate students, student belief in themselves must be positive and present. By allowing for student leadership, older students are helping younger students make the connections in math while building a social relationship and math talk. Our workshop will include an explanation of why we began teaming up our classes and the process of our math buddy sessions, along with our success indicators. It will also explain the evolution of our Math Buddies from two classes to whole school and between classes in different schools. Accountable talk builds self-efficacy of students as well as allows students to communicate their understanding to others or gain understanding from the questioning of a buddy. We look forward to sharing our excitement and passion for math and our Math Buddy system. S1.12 J/I Sometimes All You Have is Paper, Pencils and Markers Brenda Dalglish Participants will work in small groups to do a math task suitable for grades 6, 7 or 8 using just chart paper, pencils and markers (maybe with a protractor or ruler or calculator or number cube or pattern blocks as well). The student tasks will cover each of the 5 strands. Small groups will report back to the large group about their work and how they think they can apply this to their own teaching situation. Participants will receive a handout of the student tasks. S1.13 P/J/I Assessment Through Problem Solving Lisa MacLennan Christina Schroeder Wondering how you can make collaboration more meaningful for you and your students? The goal of this session is to provide teachers with an opportunity to delve into collaboration and assessment in problem solving. 90 CODE & LEVEL S1.14 I/S TITLE Problem Solving without Algebra: Ratios and Proportions PRESENTER(S) Serguei Ianine S1.15 P/J Can we do math instead? Elisabeth Heathfield This session will explore ways to change young students' mindsets about mathematics and their ability to solve problems. Participants will work together to design lessons that highlight the fun and magic of problem solving, encouraging young learners to discover the beauty of math, while gaining confidence in their ability to work with numbers. Participants will explore ways to engage all learners using STEAM based pedagogy and activities. We will discuss how to set up afterschool math clubs as well as math parties to foster a positive school culture around the subject. This session will include geometric sculpture, origami, spatial and proportional reasoning, magic and much more... S1.16 I A Different Starting Place for Grade 9 Applied Grade 7 & 8 students are comfortable creating and describing patterns; it is a good lead-in topic for Grade 9 and offers the opportunity to use a variety of manipulatives along with technology. Using the resource, From Patterning to Algebra by Cathy Bruce and Ruth Beatty, the class completes the first 9 lessons using tiles. This provides a foundation in creating and describing linear relations, graphing, and solving equations in an informal manner. As new topics of scatter plots, differences, direct and partial variation, proportional reasoning, solving equations etc. is introduced, a link is made back to the information on the anchor charts for the two general patterns with which the course started. Additionally, students use manipulatives and graphing calculators to facilitate their understanding. I will share my successes, challenges and materials of this approach with the Grade 9 Applied classes. KATHY PILON DESCRIPTION Solving word problems is considered as one of the most difficult areas in teaching Mathematics. Too often, especially at intermediate and high school levels, word problems are tackled only with algebra. This implies that problem-solving strategies should be taught only after introduction to algebra. As a result, students tend to reach for algebra even in situations when problems can be easily solved with logical reasoning and elementary arithmetical methods. In this presentation, I will demonstrate several strategies and tools to solve word problems on ratios and proportions without algebra. As we will see, those tools are suitable even for grade 6, 7 and 8 students, and in fact, produce a significant positive impact on development of spatial ability, number sense, and logical reasoning. Participants will receive materials with explanations, examples, and sets of problems with full solutions. The session will be beneficial for both intermediate and high school teachers. 91 CODE & LEVEL S1.17 I TITLE Patterning and Algebra, 7 to 9 PRESENTER(S) Kerri Evershed DESCRIPTION Who me? Patterning and Algebra? We will investigate Patterning and Algebra in grade 7 and 8 and the changes students experience going into grade 9. We will be looking at the continuum of curriculum expectations across grades and seeing the variety of vocabulary used. How to create opportunities for students to see the connections between the visual pattern, the table of values, the algebraic expression, and the graph will be explored. S1.18 I/S Set It, Build It, Grow It Patricia Clark We said goodbye to traditional “units” in MPM1D and MPM2D and instead focused on making connections between curriculum expectations. We gave students time to exercise their brain and reflect on their learning before revisiting topics multiple times and making that muscle grow! Don’t “set it and forget it”, how about “set it, build it, and connect it”. This approach allows students to direct their learning both in breadth and depth. Big ideas are revisited multiple times to give the students opportunities to see connections and to develop deeper understanding starting with a conceptual foundation and building in procedural skills. We will share our approach as well as activities and assessment tools we have tried. S1.19 I/S Setting the Stage for Successful Inclusion Amy Scales This session will assist you with developing ideas for programming in your math classroom for students with significant special education needs (e.g. autism, mild intellectual disabilities, developmental disabilities, physical disabilities, communication issues, significant learning disabilities). We will share community building strategies and Universal Design for Learning which support the creation of a classroom environment that supports diverse learners and makes accessibility a part of the culture. A portion of the session time will be devoted to a round table discussion of specific scenarios from your own classroom with the purpose of brainstorming strategies to take back with you. S1.20 K/P/J/I Tasks, Technology, and Feedback: What engages the learner? Katie Rich The Center for Elementary Mathematics and Science Education (CEMSE) at the University of Chicago is currently working on a development project called the Number Stories Project. Number stories are online, dynamic mathematics activities based on real-world contexts and aimed at a wide variety of users, though our current focus is on learners in Kindergarten through high school. A major goal of the project is design activities that engage an individual learner in the problem-solving process. In this session, participants will explore some of the number stories activities that our field testers have found most engaging. We’ll discuss the elements of the activities that we believe have made them successful, including features of the task, the ways the activities take advantage of the dynamic environment, and what kind of feedback is provided to the learner. Participants should bring their own laptops if they wish to explore the activities. 92 CODE & LEVEL S1.21 K/P/J CANCELLED TITLE Understanding student's numeracy through their talk about numbers PRESENTER(S) David Pugalee DESCRIPTION Research shows that the early development of number concepts is a better predictor of future academic success that traditional literacy measures. Children's talk about number reveals the depth of their mathematical understanding. Using a framework for describing critical development in counting, comparing, number composition and decomposition, and place value provides teachers with rich data related to students' numeracy. The framework is developed by looking at student work, discussions, and interviews which contribute to a formative assessment foundation which informs instruction. S1.22 S Doing Data Management with a Social Justice Focus Jesse Bergman Students want connections to the real world in their mathematics courses. Educators want a curriculum that inspires and motivates young people. The integration of Social Justice (a broad term that can be said to describe the social, political, economic and cultural inequities that permeate our planet) into our math classes is a way to tackle the concerns of both students and educators alike. And few mathematics courses lend themselves to an infusion of Social Justice into the curriculum as well as MDM4U Data Management. Come to this workshop for ideas, strategies and the sharing of resources regarding the delivery of Data Management with a Social Justice lens. We will share tools, strategies, assessments and more. Come prepared to learn and listen, but also to have the opportunity share your own strategies and resources relating to Social Justice. S1.23 K/P/J Thinking about Pattern and Structure Roy Reed Participants in this session will extend their understanding of pattern and structure, exploring what the big ideas in patterning are, and seeing how an understanding of pattern reveals the structure of mathematics in all the other strands. 93 CODE & LEVEL S1.24 I/S TITLE Meant4Teachers.com PRESENTER(S) Julia Ahadie DESCRIPTION Being an effective teacher consists of two main things: having a deep understanding of the material you’re teaching, and being able to effectively deliver your instruction to help your students learn. The latter requires differentiated instruction; varied tools when creating assessments for, as and of learning; engaging strategies and much more. However, it is difficult for teachers to always have fully interactive and engaging lessons given the time constraints. Meant4Teachers.com was created as a free resource for teachers (currently aimed at high school teachers, but expanding in the future), designed around the Ontario curriculum, and embedded with simulations, animations, worksheets, quizzes, labs and worksheets that are in line with the curriculum. For example, in math, demonstrating a concept via multiple strategies will lead to a deeper understanding of the material and allow students to make their own discoveries. The site is still growing, and is always encouraging contributions from teachers of ideas/resources that can help other teachers. Major defining characteristics of Meant4Teachers.com that sets it apart from other sites is that (1) it’s free for everyone to use (2) no registration required and (3) it is one veryconvenient site with which teachers can make any subject in any grade more engaging and interactive, thus, more fun to learn. Participants are encouraged to bring a laptop or tablet to access the site’s features in the guided-demonstration. S1.25 J/I/S Struggling Mathematics Learners: Building Growth Mindsets DIANE TEPYLO Students often enter applied and essentials mathematics classes with the attitude, 'I can’t do math'. This session looks at strategies to build growth mindsets through a variety of teaching strategies including engaging problems and formative assessment. Low floor, high ceiling problems provide multiple entry points so all students experience success while presenting significant mathematics to challenge all students. Additionally, this session looks at how formative assessment/error analysis—unobtrusively integrated into activities—allowing the teacher to move students from confusion to understanding. See how students move from “I added because I can’t multiply,” to believing mathematics should make sense and struggling to find appropriate strategies and tools for the task. S2.Keynote All Keynote Address: Picture This: Teaching and Learning Mathematics Using Spatial Thinking Nora Newcombe Children who think spatially learn mathematics more quickly and easily. But why? And how can teachers use this linkage between space and math in teaching math? In this talk, Dr. Newcombe will begin by explaining what spatial thinking is, and presenting the evidence linking spatial thinking to mathematical thinking. She will then discuss how to strengthen spatial skills, beginning in early childhood, and present some examples of how to teach mathematics spatially. The supportive value of spatial thinking seems to apply across individual differences in children and across lower and higher mathematical abilities. Hence spatializing the math curriculum can be expected to help all learners. 94 CODE & LEVEL SN.00 TITLE Nutrition Break PRESENTER(S) DESCRIPTION So I won’t go hungry during the final session S3.01 All Featured Session: Rethinking mindsets, rethinking disabilities Indigo Esmonde As mindset research has shown, how we think about learning can have powerful effects on what we do when we try to learn something. This session will begin by uncovering our attitudes and definitions for mindsets, learning, and disabilities. I will then propose a few different ways we might think about these three topics, and the connections between them. With this background information in mind, we will engage in some activities to explore powerful ways to engage mathematically with students who have been identified with learning disabilities. S3.02 K/P Picture This Workshop: Teaching and Learning Mathematics Using Spatial Thinking Nora Newcombe Dr. Newcombe will answer questions about her keynote address, and discuss several specific examples of spatial issues involving the early math curriculum: teaching shapes, angles, measurement, and scaling. S3.03 J Using math understandings to solve 21st-century issues—a growth mindset approach Laura Inglis Vidya Shah George Karagiorgakis In this session, participants will learn how to incorporate math understandings within lessons to help comprehend 21st-century issues. Teachers will learn about the importance of growth mindset within this approach and how it can be easily implemented in any junior or intermediate classroom. This approach will help students become critical consumers of the world around them and help them to challenge inequities with the goal of promoting sustainability, humanitarianism, and a more just world. Attendees will participate in learning activities and receive samples of the presenters' work with teachers. S3.04 J/I Blue Jays Math Don Fraser Hit a home run with your students this season. Don will provide some 'ready to go' Blue Jays' math activities as well as ideas to generate many more. Whether you're a teacher with rookie or veteran baseball knowledge, step up to the plate with a growth mindset and enjoy this informative, entertaining, real world workshop! 95 CODE & LEVEL S3.05 All TITLE Reasoning with Quadrilaterals using hands, eyes, and technology PRESENTER(S) Walter Whiteley DESCRIPTION Using multiple representations, and multiple supporting manipulatives, we will present a conceptual network for the classification of quadrilaterals, accompanied by investigations ready for classroom use. We will use paper-folding, sand pouring, hand gestures, MIRA, and manipulation of GSP sketches in these investigations of the pattern or hierarchy of quadrilaterals in the plane (and beyond). We will share sketches, activity sheets and possible assessment tasks. These approaches connect to big ideas in geometry and mathematical reasoning, such as the essential role of symmetries, and how symmetries combine, and the essential reasoning role of inclusive definitions in mathematics and mathematical reasoning. The approaches also focus on the essential role of spatial reasoning in supporting work on these topics. We will point to how spatial reasoning strengthens connection on through multiple grades and multiple topics. S3.06 J/I New Elementary Math Resources for Technology Enabled Learning within the Provincial Virtual Learning Environment Barbara Seaton This session will showcase the new elementary (junior/intermediate) math resources created by Ontario teachers for e-Learning Ontario. Find out how to integrate these free (Ministry provided) math resources and the provincially licensed Virtual Learning Environment into your math program. Three-part lessons, interactive learning objects, integrated CLIPS, teachers’ guides, ePortfolio and online tools make these resources perfect for personalized, differentiated, and meaningful math lessons for your 21st century learners. S3.07 I/S Musical Mathematics GREGORY TAYLOR Songs can be used to make math concepts more memorable, even at the high school level. There are many examples of this online already, as created by students and educators alike. The session will feature live performances by the presenters, instruction on writing song lyrics and finding backup music, an opportunity to write a rhyme or song lyrics, and watching some of our favourite existing math music videos (URLs provided) that could be shown in class. 96 CODE & LEVEL S3.08 I TITLE La classe inversée PRESENTER(S) Johanne Séguin DESCRIPTION This session will focus on how to organise the flipped learning environment to maximize student participation. We will look at: how to make interesting videos (different types of videos for different groups or subjects - length, style...) in particular ones for French language schools; how to use sites that let you incorporate your videos to make them more interactive for the students; how to use these sites to monitor student participation; how to use these sites to find out where your students have difficulties and where they manage well, giving you a chance to organize the class activities to focus more on where the students need the help integrating the learning; how to change a boring lesson into a funny one using cartoons that are easy to work with; how to use programs to record your voice and change it to a cartoon character voice. With this in mind, I would like to organize a forum where French speaking teachers could start putting up their videos as they make them. This way, we could create a bank of flipped courses for the French speaking community. S3.09 P/J/I Ipads4Math- Evolving the Mindset Ted McKinney We believe the current research is encouraging us to shift our teaching. Our goal as educators is engaging our students to become believers in their learning. Our focus will be on providing effective use of iPads and Apple TV for math instruction that is linked to the learning goals and success criteria utilizing the Learning Management System (LMS/D2L) through e-learning Ontario, and the Ontario Educational Resource Bank. This session will focus on looking at the apps and online resources to help capture student interest and to promote a positive mindset through student success. Overcoming the challenges faced when spearheading such use of technology in your classroom will be discussed. Feel free to bring your iPad with you for or just follow along. S3.10 P/J Accountable Talk and Math Problem Solving Tony Moscone Manuela Filippone The purpose of the workshop is to share an action research project that took place in a junior classroom on accountable talk strategies and assessment (in pairs, small groups, whole class) with rich tasks for students to improve thinking dispositions and be more iterative in their approach to learning mathematics. Through this practice, the hope was that students would develop a growth mindset towards math and better understand mathematical concepts and communicate their thinking using everyday language, mathematical vocabulary, and mathematical conventions. We will look at talk structures, assessment strategies and different problem solving models to use with students and how to set up a culture of collaboration within the classroom. 97 CODE & LEVEL S3.11 I/S TITLE Problem Solving without Algebra: Percent PRESENTER(S) Serguei Ianine DESCRIPTION Solving word problems is considered as one of the most difficult areas in teaching Mathematics. Too often, especially at intermediate and high school levels, word problems are tackled only with algebra. This implies that problem-solving strategies should be taught only after introduction to algebra. As a result, students tend to reach for algebra even in situations when problems can be easily solved with logical reasoning and elementary arithmetical methods. In this presentation, I will demonstrate several strategies and tools to solve word problems on percent without algebra. As we will see, those tools are suitable even for grade 6, 7 and 8 students, and in fact, produce a significant positive impact on development of spatial ability, number sense, and logical reasoning. Participants will receive materials with explanations, examples, and sets of problems with full solutions. The session will be beneficial for both intermediate and high school teachers. S3.12 P/J/I/S Digitizing Assessment with Google Apps for Education Emmet Mellow S3.13 P Building primary math thinking Patricia Fraser Have you ever wondered how Google Apps for Education can inform your assessment practice or how you can involve your students in their own assessment? In this session we will share examples and explore how Google Apps for Education can be used for assessment in your classroom. We will provide strategies that can be used across divisions to engage your students in their own assessment and give you an accurate picture of student achievement. Highlights of the presentation include: capturing student learning in a variety of ways, diagnostic quizzes, providing descriptive feedback with text and voice, collaborative consolidation and Google Classroom for organization, saving time, enhanced communication and assessment. In this sixty minute a session we will look at integrating knowledge based learning with techniques for students to communicate their thinking through mental math activities. We will provide participants with an overview of how mental math minilessons are structured; the professional resources we use to support implementation; how we use tools and models to support student thinking. This is a teacher’s perspective on implementation. There are not any products sold in this session. S3.14 I/S/PS Geometer’s Sketchpad and GeoGebra: a comparison Kate Mackrell GeoGebra is relatively new in Ontario, and makes many exciting claims. However, Geometer's Sketchpad is Ministry licensed in Ontario, and therefore freely accessible by teachers and students. In this session we will look in detail at the affordances of each program for a particular task involving the integration of number, algebra, geometry, and handling data and will also discuss more general issues in order to consider what we should be offering our students. 98 CODE & LEVEL S3.15 K TITLE Engagement & Inquiry: A Mathematical Journey in Full Day Kindergarten PRESENTER(S) Klara Redford DESCRIPTION This session will highlight how math inquiry, the math processes and mathematical thinking is inherently integrated in the play-based nature of Full Day Kindergarten. The session will demonstrate inquiry-based learning as well as communication of math ideas and outcomes with kindergarten classes, parents and the broader public using technology (Twitter, Skype). Three recent inquiries will be highlighted: "Dot Day Art & Math", "Pumpkin Rolling" and "Snakes Are Good At Math". We will share problem solving using the "Uh-Oh Problem", a flipped classroom idea that gets families involved in sharing math thinking at home. Make and take math games will be part of the session. S3.16 S Why Using IPads to Teach High School Mathematics? Elena Corina Georgescu The purpose of this qualitative study is to explore creative ways that teachers use to integrate IPad apps to enhance the process of teaching and learning high school mathematics. The participants in this study, six Ontario secondary school Mathematics teachers, were recruited at a course designed to train teachers how to effectively use IPad apps in the classroom. Data was collected by using qualitative techniques, such as classroom observations, individual interviews with the teachers, a focus group interview, and examinations of various documents consisting of lesson plans, teachers’ notes, assessment and evaluation items, and students’ marks. The results of this study suggest that teachers consider IPad apps to be significant resources, as they provide fast and easy access to information, have the power to engage and motivate students to explore and learn mathematics actively and collaboratively, and enable students to deepen and strengthen their conceptual understanding and to maximize their potential and achievement. Examples of use of IPad apps are presented, teachers’ reflections about the benefits and pitfalls of using IPad apps are discussed, the next steps to improve the mathematics instruction with IPad apps are recommended, and suggestions for further research are provided. KATHY KUBOTAZARIVNIJ Brent Davis If multiplication is repeated addition, how does one go about adding 1.2 to itself 3.4 times? Questions like these will be investigated through "Concept Study"-- a systematic set of research-based strategies collectively co-constructed by kindergarten to grade 12 teachers to deepen their own understanding of math content, while supporting their students' understanding. This thread consists of 5 sessions, including: T4-T5, F4-F5, and S3. S3.ThreadConcept Thread: Concept Study: All Teachers CoConstructing Mathematics 99 CODE & LEVEL S3.ThreadLD J/I TITLE Thread: Supporting Students with Learning Disabilities in Mathematics PRESENTER(S) Connie Quadrini Connie Gray DESCRIPTION Classroom teachers of mathematics, special education teachers, and professional learning facilitators are invited to participate in this innovative thread! Students with learning disabilities have average to above average cognitive ability and therefore great potential to learn mathematics. So what’s important to know and understand about the challenges that these students face when learning mathematics? This interactive session will provide educators with the opportunity to develop understanding of the profile of students with learning disabilities. Through experiencing math specific simulations, they will gain insights into the cognitive processes that impact students' mathematics learning. During this session, educators will apply new perspectives and insights gained as they work collaboratively to unpack the IEPs of students with learning disabilities through a mathematics lens, and analyze mathematical tasks and student thinking. In addition, they will consider next steps for student learning including selection of precise and personalized accommodations that leverage student strengths and respond to needs. Interventions for students with learning disabilities will be explored with a focus on assessing students' mathematical readiness, and selecting appropriate resources and supports that move these students forward in their mathematics learning. This thread consists of 5 sessions, including: T4-T5, F4-F5, and S3. 100 CODE & LEVEL S3.ThreadTech J/I TITLE Thread: Manipulating Mathematical Thinking with Technology PRESENTER(S) CAROLINE ROSENBLOOM Mirela Ciobanu DESCRIPTION In Session 1 of the thread: Manipulating Mathematical Thinking with Technology. As a novice or a tech-savvy educator, we will provide steps you can take to contextualize tool technologies in your mathematics instructional design. These strategies will deepen students’ ability to think critically as they participate as knowledgeable, reflective, creative and analytical members of a collaborative digital space. We will show how technology for instruction and assessment was used in our partnership project where students were part of a learning community to discover, explore, and conjecture about mathematical ideas collaboratively and cross-culturally. In Part 2 of this thread. Successful students can fluently “see” mathematical relationships. During this session, participants will engage in problem solving and use various models of representations, including the Singapore Model Drawing and the open number line model used in Japan. Additionally, we will explore how dynamic technologygenerated representations are easily manipulated to increase students’ ability to identify the relationships between known and unknown quantities in the problems they solve. We will share samples of collaboratively generated problem representations, as a result of the mathematical partnership created among various math classroom communities. In Part 3 of this thread we will show the role parents play as critical members in our learning partnership for student success. From parent engagement sessions to classroom blogs, we will explore different ways technology can be used to link the home and school to involve parents in our learning community. This thread consists of 5 sessions, including: T4-T5, F4-F5, and S3. BYOD for the full experience! 101 102
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