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The Progression of Division
The Progression of Division: From Arrays and Area Models to Long Division and Beyond Like multiplication, division is a very important concept that spans from primary and into abstraction well beyond our high school curriculum. Let’s take some time to explore where the idea of division begins, build a conceptual understanding of what it means, …
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The Progression of Multiplication: From Arrays and Area Models to the Standard Algorithm and Beyond
We’ve all heard it before; kids don’t know their multiplication facts! While this may or may not be true, what is more important than simply memorization multiplication facts is building a conceptual understanding of what multiplication means, how to visualize multiplication and how the standard algorithm for multiplication really works. Let’s start in primary where …
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Making Connections Between Proportional Reasoning and Fractional Thinking
Make connections from the relational thinking behind proportional reasoning and represent these number relationships as fractions. Join Kyle Pearce as we explore fractional thinking using tasks that are contextual, visual and concrete in order to examine fraction constructs, uncover multiple representations of fractions, and discover different perspectives that build the conceptual understanding behind the rules …
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Exploring the Progression of Proportional Reasoning From K-9
Students begin using proportional reasoning early in their mathematics learning journey when they begin to think of the magnitude of numbers relative to another rather than in absolute terms. Join Kyle Pearce as we explore the progression of proportional reasoning throughout the primary, junior and intermediate math classroom by using tasks that are contextual, visual …