Developing Mathematical Reasoning: Avoiding the Trap of Algorithms
Chapter 4: Division Using Additive Reasoning
In this video, the student uses additive and counting strategies to solve 36 รท 9. She uses an additive strategy of counting by 9s up to 27, then counts one by one up to 36, finishing the problem with a counting strategy.
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This Book:
Developing Mathematical Reasoning: Avoiding the Trap of Algorithms emphasizes the importance of teaching students increasingly sophisticated mathematical reasoning and understanding underlying concepts rather than relying on a set rule for solving problems. This book illuminates a hierarchy of mathematical reasoning to help teachers guide students through various domains of math development, from basic counting and adding to more complex proportional and functional reasoning.
Everyone is capable of understanding and doing real math.
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