DESIGNING LESSONS FOR LEARNERS WITH SPECIAL NEEDS IN NUMERACY - 4 JUN 2014 Special Education Branch, MOE APSN Katong School APSN Tanglin School AWWA School Grace Orchard School 1 TEAM COMPOSITION Special Education Branch Chong Suet Ling Lee Yim Ping Liu Shu Zhen Yee Cai Ying Yeo Xiuting, Valerie Special Education Schools AWWA School APSN Katong School APSN Tanglin School Grace Orchard School 2 OUTLINE Part 1 (10 min) Background Literature Review Methodology Part 2 (40 min) Findings Conclusion 3 PART 1: BACKGROUND, LITERATURE REVIEW & METHODOLOGY 4 NUMERACY PROJECT IN BRIEF 2012: Launch of Curriculum Framework for SPED 2013: Numeracy Prototyping Project Participation through invitation 5 schools Spanned Feb–Sep 2013 Learning by doing approach Structured as Professional Learning Teams 5 LITERATURE REVIEW: LEARNING OF MATHS Manipulatives were used to make learning concrete (Kennedy & Barblett, 2010) A diverse profile of learners requires differentiated learning and customised learning aides (Fuchs, Fuchs, Compton, Powell & Seethaler, Capizzi, Schatschneider & Flectcher, 2006, 2006; Montague, 2007) 6 LITERATURE REVIEW: LEARNING OF MATHS Teachers' direct instruction was an important approach to role model the learning (Kroesbergen & Van Luit, 2003) A safe and inclusive learning environment was essential (Kavale & Forness, 2000) Assessment activities encourage students' demonstration of learning (Vaughn, 2003). 7 PROJECT QUESTIONS 1. What are the pedagogical considerations that guided teachers’ planning and design of learning and teaching? 2. What are the supports that facilitated the prototyping efforts? 8 METHODOLOGY Participants: 5 schools Approach Training-cum-consultation: 6 workshops and 2 consultations Opportunity for participants to Learn : Do : Share Project Outcomes Teacher-constructed resources Lesson try-out 9 PART 2: WHAT SPED TEACHERS DO IN A NUMERACY LESSON? (FINDINGS) 10 FINDINGS (S.T.A.R.T.) Students’ demonstration of learning, as part of assessment of and for learning Teacher-directed instruction, has strong evidence in developing basic numeracy in children with special needs Association learning activated through the use of multi-sensory manipulatives, songs, role play, etc. Relationship to peers as part of a safe and predictable environment for learning together Task differentiation to accommodate diverse learners’ profiles through resource development 11 FINDINGS Number sensibility as the foundation for functional and practical daily living by AWWA School Designing lessons to teach grouping and place value in a sped classroom by Grace Orchard School Igniting Counting in SPED students for 1 to 5 by APSN Katong School Problem solving in Functional Contexts for SPED Students by APSN Tanglin School 12 NUMBER SENSIBILITY AS THE FOUNDATION FOR FUNCTIONAL AND PRACTICAL DAILY LIVING AWWA School 13 BACKGROUND Professional Learning Team formation ◦ Teachers from Numeracy Department Team Composition ◦ Ms Thain Lee Ping (Subject Head, Numeracy) ◦ Ms Ong Zeng Zi (Teacher) ◦ Ms Tan Li Siang (Teacher) 14 OBJECTIVE & STUDENT PROFILE Team Objective: To develop teachers’ pedagogical and content knowledge in teaching mathematical concepts and skills Student Profile: 9 students (6 male, 3 female) with moderate to low support needs, with a range of disabilities including Global Developmental Delay, Intellectual Disabilities, William’s Syndrome Ability level: 2 groups (MS-Moderate Support; LSLow Support) Age: Between 9 and 11 years old 15 WHY NUMBER SENSIBILITY? Necessary to prepare students for functional and practical daily living Focus on two concepts of number sensibility: ◦ Counting up to 9 in ones ◦ Addition of single-digit numbers within 9 16 SEQUENCING THE LEARNING Stage 1 Stage 2 Stage 3 •Number Sense: Quantity up to 9 •Addition within 3 •Addition within 5 •Addition within 7 •Addition within 9 17 DIFFERENTIATING THE LEARNING • Consistency in key vocabulary • More guided instructions for some students • Different materials used for different groups according to their needs • Different mode of expressing answers 18 USE OF MULTIMEDIA / ICT • Use of computer, visualiser and projector for teaching • Use of iPad for games as reinforcement • Use of camera to video lesson for evaluation (lesson study) 19 PROJECT TAKEAWAYS Professional Growth ◦ Peer observation and feedback ◦ Mutual trust and close collaboration ◦ Hands-on exploration & experimentation ◦ Generate ideas for customisation/ modifications ◦ ‘Multiplier’ effect on peers 20 TEACHER-CONSTRUCTED MATERIALS Self-check Template 21 DESIGNING LESSONS TO TEACH GROUPING & PLACE VALUE IN A SPED CLASSROOM PROFESSIONAL LEARNING TEAM OF GRACE ORCHARD SCHOOL Ms Low Ah Chin, Esther Vice Principal Ms Chua Poh Keng Programme Head/Math Subject InCharge Ms Shanice Liang/ Team Leader Ms Koh Chew Peng/ Member Ms Tamil Selvi/ Member OBJECTIVE & STUDENT PROFILE Team Objective: • To develop teachers’ pedagogical and content knowledge in teaching mathematical concepts and skills. • To teach students to solve two-digit addition and subtraction with regrouping and able to generalise it to real life situations. • To develop students’ independence in self-learning and assessment Student Profile: • 10 students (5 males, 5 females), behavioural issue (1 male), chronic eczema (1 female), physical disability which causes speech difficulty and mobility issue (1 female) • Diagnosis: Mild Intellectual Disability (8 students) & Down syndrome (2 students) • Ability level: 3 groups (HS- High Support, MS- Medium Support, LS-Low Support) • Age: 15 and 16yrs old THE APIE APPROACH TO TEACH MATH Assessment Evaluation Planning Implementat ion Assessment Evaluation -Evaluation School written assessment -To gauge student’s level / functional assessment -Basic Number Screening -Assessment tools (depending on the tools, may usually be repeated on a half-yearly basis or yearly basis) -CMI (Classroom Mathematical Inventory) -TOMA (Test of Mathematical Abilities) APIE APPROACH Planning Implementation -To Delivery based on your understanding of your students’ dynamic -The ‘I-do, We-do, U-do’ approach -Use of concrete / abstract materials -To provide resources for self-checking -To provide resources for revision – notes SEQUENCING THE LEARNING Stage 1 • Grouping Stage 2 • Place values composer and decomposer with Tens and Ones Stage 3 • Perform two-digit addition and subtraction with regrouping Tens and Ones INSTRUCTIONAL METHOD I do (Modelling) • Use clear and simple language • Modelling helps students to know what they are expected to do • Use verbal Mathematical terms and concepts in words. We do ( Guided Practice) You do (Independent Practice) • Give every student the resources to work on. • Give adequate processing time (THINK TIME) for student to think and explore. • Give the SAME type of problems as used in ‘We do’ stage. STAGE 1 Lesson Objective: Students will be to • understand the concept of grouping and counting in twos, fives and tens 5 groups of fives is 25. Altogether 25 EXPLICIT DIRECT TEACHING Self-checking template STAGE 2 Prerequisites of students: Students are able to • Understand value of 1 to 20 • Recognize numerals 1 to 50 • Count in groups of 10 Lesson Objective: Students are able to • compose and decompose numbers (11 to 15) using place value - tens and ones EXPLICIT DIRECT TEACHING I do (Modelling) Teacher selects student to do the task to check student’s understanding We do (Guided Practice) Teacher gives every student the same resources and do the task together EXPLICIT DIRECT TEACHING You do ( Independent Practice) Task 1- Pair Work Must be SAME type of problems as used in ‘We do’. EXPLICIT DIRECT TEACHING Task 2- Individual Work To generalise it in real life situations TEMPLATES FOR STUDENTS TO PRACTISE AT HOME STAGE 3 Lesson Objective: Students will be to • Perform two-digit addition and subtraction with regrouping tens and ones EVALUATION • Informal Assessment • Formal Assessment • Post-lesson reflection PROJECT OUTCOME / LEARNING • Collective responsibility for changing pedagogical practices through post-lesson observation discussion and feedback • Sharing of good practices with other teachers who are teaching the school’s Numeracy Curriculum • Development of broader mathematical skills in problem-solving, reasoning and generalizing to real life situation • Improvement in students’ ability in self-assessment DESIGNING LESSONS TO TEACH GROUPING & PLACE VALUE IN A SPED CLASSROOM Grace Orchard School 39 PROFESSIONAL LEARNING TEAM Team Composition Ms Chua Poh Keng (Programme Head: Mathematics Subject Group in charge) Ms Shanice Liang (Mathematics Subject Group Team Leader) Ms Tamil Selvi (Mathematics Subject Group member) Ms Kho Chiew Peng (Mathematics Subject Group member) 40 OBJECTIVES Team Objective: To develop teachers’ pedagogical and content knowledge in teaching mathematical concepts and skills To teach students to solve two-digit addition and subtract with regrouping and be able to generalise it to real life situations To develop students’ independence in selflearning and assessment 41 STUDENT PROFILE Student Profile: 10 students (5 males, 5 females), behavioural issue (1 male), chronic eczema (1 female), physical disability which causes speech difficulty and mobility issue (1 female) Diagnosis: Mild Intellectual Disability (8 students) & Down syndrome (2 students) Ability level: 3 groups (High Support, Medium Support, Low Support) 42 Age: 15 and 16yrs old SEQUENCING THE LEARNING Based on APIE approach, we planned and designed the content Stage 1 •Grouping Stage 2 •Place values: composer with tens and ones Stage 3 •Perform twodigit addition and subtraction with regrouping tens and ones 43 INSTRUCTIONAL METHOD I do (Modelling) • Use clear and simple language • Use verbal mathematical terms and concepts in words • Modelling helps students to know what they are expected to do We do (Guided Practice) You do (Independent Practice) • Give every student the resources to work on and answer questions simultaneously • Give adequate processing time (THINK TIME) for students to think and explore • Give the SAME type of problems as used in ‘We Do’ 44 STAGE 1 Lesson objective: Students will be able to understand the concept of grouping and counting in twos, fives and tens 45 46 STAGE 2 (LESSON OBSERVED) Lesson Objective: By the end of the lesson, students will be able to compose and decompose numbers (11 to 15) using place value, tens and ones Competencies of pre-requisites of students: Students are able to: Understand value of 1 to 20, Recognise numerals 1 to 50, and Count in groups of 10 47 EXPLICIT DIRECT TEACHING 48 EXPLICIT DIRECT TEACHING Task 1: Pair Work 49 EXPLICIT DIRECT TEACHING Task 2: Individual Work 50 TEACHER-CONSTRUCTED MATERIALS FOR STUDENTS’ HOME PRACTICE 51 STAGE 3 Lesson Objective: Students will be able to perform two-digit addition and subtraction with regrouping tens and ones 52 PROJECT OUTCOME / LEARNING Takeaways Collective responsibility for changing pedagogical practices through post-lesson observation discussion and feedback Sharing of good practices with other teachers who are teaching the school’s Numeracy Curriculum Development of broader mathematical skills in problem-solving, reasoning and generalising to real life situation Improvement in students’ ability in selfassessment 53 IGNITING COUNTING IN SPED STUDENTS FOR NUMBERS 1 TO 5 54 BACKGROUND • Professional Learning Team formation – Teachers from different levels and sessions • Team Composition – Mdm Choo Pee Ling (HOD, Math & Life Skills) – Mrs Stella Ho (Teacher) – Mr Jose Manuel (Teacher) – Ms Kharissa Seah Lay Keng (Teacher) – Ms Sheryll Gavino Eduria (Teacher) 55 OBJECTIVE & STUDENT PROFILE Team Objective: • To develop teachers’ pedagogical and content knowledge in teaching number sense and to create a teaching package for students with high support needs. Student Profile: • 10 students (7 male, 3 female) with mild intellectual disability (MID), as well as a range of disabilities including Kabuki Syndrome, Down Syndrome, etc. • Ability level: High support needs • Age: Between 9 and 10 years old (Primary level)56 DEVELOPMENT OF NUMBER SENSE IN MID STUDENTS • Pre-requisite for preparing students for functional and practical daily living. • Learning outcomes of project: – Counting numbers from 1 to 5 – Representing, writing and comparing numbers from 1 to 5 57 SEQUENCING THE LEARNING Stage 1 Stage 2 Stage 3 • Counting from 1 to 5 • Writing numbers 1 to 5 • Comparing numbers 1 to 5 58 ENHANCING STUDENTS’ LEARNING Standardised teaching strategies: UDL and Direct Instruction practices Use of concrete materials and handson activities Triple-D and Triple-T Approaches Overview Of Lesson Units Number Sense of Numbers 1 to 5 59 USE OF MULTIMEDIA / ICT Powerpoint slides (for attractive and focus presentation) Interactive whiteboards (IWB) (for lively engagement of learners in actions) On-line educational activities e.g., YouTube videos (for visual & audio engagement) 60 USING INTERACTIVE WHITEBOARD Lesson 9: More or Less 61 USING INTERACTIVE WHITEBOARD Lesson 9: More or Less 62 USING INTERACTIVE WHITEBOARD Lesson 9: More or Less 63 USEFUL LINKS Sesame Street : 5 Dogs, 5 Bones http://www.youtube.com/watch?v=yk702keoYzY 64 USEFUL LINKS Subtising http://sites.google.com/site/numbersense11/s ubtizing 65 TEACHER-CONSTRUCTED WORKSHEETS Lesson 9 Lesson 5 66 PROJECT TAKEAWAYS • Shared ownership of school improvement • Reflective teaching • Pride in professionalism 67 LEARNING POINTS • Student-centric approach to be effective in developmentally equipping students to acquire more advanced math concepts [Following the natural developmental progression for math learning in children with special needs] • Common math vocabulary to name the thinking and actions for learners to hear, say and do. • Engaging and interesting lesson delivery with relevant and meaningful visual cues for joy in learning and reference for learning. 68 GOING FORWARD • Continually review Math Curriculum to ensure the intended/designed curriculum is delivered effectively by teachers and successfully received by the learners • Ensuring assessment is valid and reliable through reviews on processes, item setting and student performance • Professional Learning Team to build ownership and sustain the drive to build pride in professionalism through reflective practices and collaborative learning culture 69 PROBLEM SOLVING IN FUNCTIONAL CONTEXTS FOR SPED STUDENTS APSN Tanglin School 70 ABOUT APSN TANGLIN SCHOOL Students Vision Mission Curriculum Aims (4 “C”s) Age: 13 – 16 years Mild Intellectual Disability Leading Independent & Meaningful Lives; Valued in the Community To Equip Students with Skills, Knowledge & Attitudes through A Holistic Curriculum • Build Competence - Academic, Vocational, Social • Shape Character • Foster Pro-social Connections Make Positive Contributions to Self, Family, Community & Society BACKGROUND Professional Learning Team formation o 4 lead teachers, a level head from each year level Team Composition o Ms Ho Lai Mern (HOD/Numeracy; Sec 3 Level Head) o Mrs Fanny Ong (HOD/ICT; Sec 4 Level Head) o Ms Suhaini (Teacher; Sec 2 Level Head) o Mr Anthony Tan (Teacher; Sec 1 Level Head) 72 OBJECTIVE & STUDENT PROFILE Team’s Objective: To design and develop a student-centric lesson package for teaching problem solving in functional contexts. Student Profile: 12 students (6 males, 6 females) with Mild Intellectual Disability (IQ level between 50 to 70); including two students with Down’s Syndrome Age: 14 years old PROBLEM SOLVING IN FUNCTIONAL CONTEXTS Application of numerical concepts and skills to perform real-world tasks and solve problems encountered in everyday life; Number sense (counting) is fundamental to numeracy learning. IDENTIFIED FOCUS AREA Counting Strategies: Skip Counting Given up to 100 objects, the student will count by 2s, 5s and 10s PROJECT IMPLEMENTATION The class was divided into 3 groups according to their level of support needs: High Support Needs Group (HSN) •4 students •1 teacher Medium Support Needs Group (MSN) •4 students •1 teacher Low Support Needs Group (LSN) •4 students •1 teacher PROJECT IMPLEMENTATION The class was divided into 3 groups according to their level of support needs: High Support Needs Group (HSN) •4 students •1 teacher Medium Support Needs Group (MSN) •4 students •1 teacher Low Support Needs Group (LSN) •4 students •1 teacher 1. Preparation Plan lessons based on objectives, students’ prior knowledge, strengths, limitations, interests and attitudes towards Numeracy. 3. Reflection Professional conversation following the lesson observation (audio- recorded). Insights arrived at from the reflection sessions will be incorporated into the next cycle of lesson planning. Professional Learning Cycle @ APSN Tanglin School MODIFIED LESSON STUDY APPROACH 2. Observation Main teacher conducts the lesson. Other teachers monitor & observe a specific group of students (based on support needs) guided by items in a checklist. SEQUENCING THE LEARNING Pre-test Lesson 1 (Counting in 2s) Lesson 2 (Counting in 2s & 5s) Lesson 5 (Counting in 2s, 5s & 10s) Lesson 4 (Counting in 10s) Lesson 3 (Counting in 10s) Lesson 6 (Performing Inventory Check) Lesson 7 (Using a 10Template) Post-Test SEQUENCING THE LEARNING Explicit instruction was used to deliver the lesson content. There are four phases involved: a. Introduction / Advance Organiser b. Modelling / Demonstration c. Guided Practice d. Independent Practice Explicit Instruction 1. Advance Organiser 2. Demonstration/ Modelling 3. Guided Practice 4. Independent Practice SEQUENCING THE LEARNING The Read, Understand, Needs, Imitate and Solve (RUNIS) approach was used. DIFFERENTIATING THE LEARNING A ‘Teacher Observation Checklist’ was used in every lesson to track and monitor the student’s progress and performance. There were differentiated activities to allow students to experience success as they complete tasks that catered to their level of support needs. Content: Quantity of items to be counted Process: Time allocated for the task Product: Different Inventory Checklist SUPPORTING THE LEARNING Use of Visual Aids Use of Multimedia / ICT Use of SelfChecking Template Use of Task Sheets USE OF VISUAL AIDS Guide for skip counting USE OF MULTIMEDIA / ICT PowerPoint slides and videos were used to facilitate discussions and for demonstration purposes during instruction time. USE OF MULTIMEDIA / ICT During lessons, some photographs and short videos of students performing the counting tasks were taken. Some of these photographs or videos were used, where appropriate, as anchors for discussions or instruction by the main teacher, in subsequent lessons. USE OF SELF-CHECKING TEMPLATE USE OF TASK SHEETS LEARNING POINTS Observations from Pre-test: Students were mostly counting in 1s. Students could improve on their planning and organisational skills when counting. 1. To introduce different counting strategies (counting in 2s, 5s & 10s) 2. To show students how to organise their objects when counting LEARNING POINTS Observations from Classroom Lessons 1 to 5: Students were able to use counting in 2s, 5s & 10s. The MSN and LSN groups preferred to use ‘counting in 10s’. Students were able to bundle their objects into groups of 2s, 5s or 10s on their table in a more organised manner. To apply their counting skills by performing a simulated inventory check @ TS Mart using any of the counting strategies learnt. LEARNING POINTS Observations from Lesson 6 @ TS Mart: Students were very engaged and the ‘inventory check’ task was authentic & meaningful to them. Organisation of some objects was challenging for certain students (eg. bulky items, difficult to stack up). Bigger work area could be provided. Students were given the choice to choose an appropriate counting strategy but it could be a difficult decision for them. To provide more structure to guide students in their counting – by introducing a ‘10’ template. LEARNING POINTS Observations from Post-Test @ TS Mart: Students were able to use the template provided to perform counting in 10s more confidently and accurately. Students were able to organise the real objects more efficiently and neatly in groups of 2s & 5s on the bigger work area provided. Students found it useful when the counting strategy was specified for them (eg. Trial #1: Count in 10s, Trial #2: Count in 5s, etc) SUMMARY OF FINDINGS • Important to provide a clear structure to help students perform their counting more accurately and with greater confidence (e.g. by using a template). • Students should be given enough time to learn and practise the use of visual support provided. • There must be systematic and scaffolded transition from classroom activities to simulated (authentic) contexts to promote students’ application and generalization of skills learnt within the classroom to simulated (authentic) environments. PROJECT TAKEAWAYS Peer Observation “… have benefited from the observations made during the lesson for each of the ability groups.” Reflective Teaching & Peer Collaboration “… able to plan for the next lesson based on these observations, and we were more conscious in planning differentiated activities to cater to students with different levels of abilities.” CONCLUSION 95 FINDINGS (S.T.A.R.T.) Students’ demonstration of learning, as part of assessment of and for learning Teacher-directed instruction, has strong evidence in developing basic numeracy in children with special needs Association learning activated through the use of multi-sensory manipulatives, songs, role play, etc. Relationship to peers as part of a safe and predictable environment for learning together Task differentiation to accommodate diverse learners’ profiles through resource development 96 OVERALL FEEDBACK Category Feedback Content • Different schools to focus on different topics and strategies. • More application of the concept. Pedagogy (instructional strategies) • Importance of modelling (I do, We do, You do). • Use of concrete materials to let students feel / touch. • Provide structure (notes) to guide students in their learning. Assessment • Assessment For and Of learning. a) Knowledge and skills building • Workshops built up participants’ knowledge from prior knowledge. • Share sample lessons/activities in Singapore context. • Give clear requirements for lesson observation so that learning can be focused. a) Resource development Students’ Learning • Always have the learner’s perspective in mind and know the students’ abilities. • Give self-check template or simple notes for students to bring home (for parents to reinforce concepts learnt). 97 REFERENCES Fuchs, L.S., Fuchs, D., Compton, D. L., Powell, R. S., Seethaler, P.M. Capizzi, A. M., Schatschneider, C. & Flectcher, J. M. (2006). The cognitive correlates of third-grade skill in arithmetic, algorithmic computation, and arithmetic word problems. Journal of Educational Psychology, 98, 29-43. Kavale, K. A. & Forness, S. R. (2000). Policy decisions in special education: The role of meta-analysis. In R. Gersten, E. P. Schiller, & S. Vaughn (Eds.), Contemporary special education research (pp. 281-326). Mahwah, NJ: Erlbaum, Kennedy A. & Barblett L.. (2010) Early Childhood Australia Research in Practice Series, “Learning and Teaching through Play”. Canberra: Early Childhood Australia Inc. Kroesbergen, E. H. & Van Luit, J. E. H. (2003). Mathematics interventions for children with special needs: A meta-analysis. Remedial and Special Education, 24, 97-114. Montague, M. (2007). Self-regulation and mathematics instruction. Learning Disabilities Research and Practice, 22, 75-83. Vaughn, S. (2003). What is special about special education for students with learning disabilities? The Journal of Special Education, 37(3), 140-147. 98
© Copyright 2024