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  1. 1. Big Ideas, Fractions, and eworkshop Resource: Presentation by Rachel Albert
  2. 2. The Big Ideas • Quantity • Operational Sense • Relationships • Representation • Proportional Reasoning
  3. 3. Quantity • Use hands-on activities where students can physically see quantity. • Explore student mental images of what quantities look like • Allow students to practice estimating what a number will “look like” • Use varying visual representations such as fraction circles, open number lines, and 10 by 10 grids • Present relevant contexts for students to learn new concepts.
  4. 4. Operational Sense • Present meaningful contexts for problem solving • Allow students to create their own problem solving questions • Ensure students can use a variety of operations to solve a problem and allow them explore all the possible ways. • Use diagrams and other visuals to model concepts and enhance understanding. • Explore relationship between operations • Spend time on mental math
  5. 5. Relationships • Explore whole numbers and fractions using a variety of visuals • Practice breaking down large numbers into their place values • Practice using different operations for one problem • Use concrete materials to enhance understanding of fractions
  6. 6. Representation • Allow students to explore that different number forms can represent the same quantity • Use visual representations to demonstrate different representations of the same idea • Apply mathematical equations to real-life situations and problem solve • Know your audience and teach accordingly!
  7. 7. Proportional Reasoning • Use everyday situations as examples • Use hands-on materials to allow students to kinesthetically explore proportions • Allow students to create and share their own proportional reasoning problems
  8. 8. General Principles for Instruction in Mathematics • Foster positive mathematical attitudes • Focus on conceptual understanding • Involve students actively in their learning • Acknowledge and utilize studentsʼ prior knowledge • Provide developmentally appropriate learning tasks • Respect how each student learns by considering learning styles and other factors • Provide a culture and climate for learning • Recognize the importance of metacognition • Focus on the significant mathematical concepts (big ideas). As listed in The Ontario Ministry of Education’s Guide to Effective Instruction in Mathematics: Kindergarten to Grade 6
  9. 9. This website contains Literacy and Numeracy Modules for Kindergarten up to Grade Six. You can find downloadable resources and guides from the ministry in both curriculum areas under the Resources tab. You may find the videos helpful as well. They can be found under the Quick Access tab. Take your time looking through the Tell Me, Show Me and Let Me Try tabs under each module as you will find very useful information. Think about how you use the ideas Tell Me, Show Me and Let Me Try in your daily teaching.