NJ Preschool Mathematics Standard: 4.3 Measurement Farida Asma and Craig Wachsman Paterson Public School District Today’s Objectives To define measurement, giving teachers a deeper understanding of what the math content means. To connect the research about measurement to our classroom teaching. To focus on classroom strategies that can help children understand and use measurement. To highlight the teacher’s role in scaffolding young children’s understanding about measurement. How Do We Measure Up? Length/Height (distance) Area (how much space is covered) Capacity (how much something holds) Weight (how heavy something is) Standard and Non-Standard Measurement Measurement in preschool…is a way to compare things and make judgments about an object’s characteristics Measurement is a Practical Concept Children naturally use the language of measurement and comparison to discuss their surroundings and the relationships between things. http://www.youtube.com/watch?v=85C9Ba5n Nnk&list=PLRYhkA40X04lFFVmn9qCeCjtsyqBmpcK New Jersey’s Preschool Measurement Standard 4.3: Children begin to conceptualize measurable attributes of objects. 4.3. 1: Sort, order, pattern, and classify objects by nonmeasurable and measurable attributes. 4.3. 3: Compare and order up to 5 objects according to measurable attributes. 4.3. 2: Begin to use appropriate vocabulary to demonstrate awareness of the measurable attributes of length, area, weight, and capacity of everyday objects. 4.3.1: Sort, order, pattern, and classify objects by non-measurable (e.g., color, texture, type of material) and measurable attributes (e.g., length, capacity, height). Sorting Objects Into Groups http://www.youtube.com/watch?v=e33YNiO-Z9M 4.3.1: Sort, order, pattern, and classify objects by non-measurable (e.g., color, texture, type of material) and measurable attributes (e.g., length, capacity, height). 4.3.1: Sort, order, pattern, and classify objects by non-measurable (e.g., color, texture, type of material) and measurable attributes (e.g., length, capacity, height). 4.3. 2: Begin to use appropriate vocabulary to demonstrate awareness of the measurable attributes of length, area, weight, and capacity of everyday objects: (e.g., long, short, tall, light, heavy, full). Estimating about close to almost nearly approximately 4.3. 3: Compare (e.g., which container holds more) and order (e.g., shortest to longest) up to 5 objects according to measurable attributes. Steven’s Window Kenya’s Window 4.3.3: Compare (e.g., which container holds more) and order (e.g., shortest to longest) up to 5 objects according to measurable attributes. Data Analysis Representing Data (concrete objects, pictures, and graphs) Organizing Displayed and labeled: Goal is to be seen and understood Compare and describe Describing Data (more, fewer, same number as, larger than, smaller than and not) Using mathematical vocabulary Connecting number to data analysis Example: “Three children have their shoes tied, one child does not.” Representing Data Describing Data Analyzing Data The Teacher’s Role in Promoting Understanding of Measurement Throughout the day Throughout the environment Through high-quality teacher-child interactions Throughout the Day Meaningful opportunities to measure can be: Part of routines that happen every day Embedded in everyday activities Small Group Time Choice Time Throughout the Environment Through High-Quality Teacher-Child Interactions Model measuring behaviors frequently. Talk about what you are doing as you measure. Encourage measurement problem-solving activities. Take advantage of daily experiences to discuss measurement concepts. Teacher-Child Interactions http://www.youtube.com/watch?v=ob8Ra-dRWv0 Measuring is a Family Affair Think-Tac-Toe How can we get everyone involved? How do we measure up? What is standard measurement? How can a teacher help children to become familiar with “analyzing data?” Resources Copely, J., Jones, C., and Dighe, J. (2007). Mathematics The Creative Curriculum® Approach. Teaching Strategies: Washington, D.C. Copley, J., Jones, C., and Dighe, J. (2010). The Creative Curriculum® for PreschoolVol 4 Mathematics. Teaching Strategies:Washington, D.C. NAEYC/NCTM Joint Position Statement (2010). Early Childhood Mathematics: Promoting Good Beginnings. Retrieved from http://www.naeyc.org/positionstatements/mathematics Clements, D.H. and Sarama, J.A. (2009). Teaching and Learning Math: The Learning Trajectories Approach. Routledge:Oxford, UK. Clements, D.H. (2012). The Building Blocks of Math: Lessons from Research. Retrieved from http://2012.eetcconference.org/wp-content/uploads/Building_Blocks_of_Math.pdf
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