图书简介
Mathematize It! Going Beyond Key Words to Make Sense of Word Problems, Grades 3-5 shares a reasoning approach that helps students dig into the problem to uncover the underlying mathematics, deeply consider the problem’s context, and employ strong operation sense to solve it. Through the process of mathematizing, the authors provide an explanation of a consistent method—and specific instructional strategies—to take the initial focus off specific numbers and computations and put it on the actions and relationships expressed in the problem.
Video List \\ Preface \\ Chapter 1 Introduction: Why You Need to Teach Students to Mathematize \\ Problem Solving Strategies Gone Wrong \\ What is Mathematizing? Why Is It Important? \\ Teaching Students to Mathematize \\ Final Words Before You Dive In \\ Part 1 Addition and Subtraction \\ Chapter 2: Add-To and Take-From: Locating the Change \\ Thinking About Active Addition and Subtraction Situations \\ Moving Beyond Whole Numbers \\ Key Ideas \\ Try It Out! \\ Reflect \\ Chapter 3: Part-Part-Whole: Understanding the Relationship \\ Thinking About Part-Part-Whole Situations \\ Moving Beyond Whole Numbers \\ Key Ideas \\ Try It Out! \\ Reflect \\ Chapter 4: Additive Comparisons: Another Kind of Relationship \\ Thinking About Additive Comparison Situations \\ Moving Beyond Whole Numbers \\ Key Ideas \\ Try It Out! \\ Reflect \\ Part 2: Multiplication and Division \\ Chapter 5: Equal Groups Multiplication: Two Factors, Different Jobs \\ Thinking About Equal Groups Situations \\ Moving Beyond Whole Numbers \\ Key Ideas \\ Try it Out! \\ Reflect \\ Chapter 6: Equal Groups Division: When a Factor Is Missing \\ Thinking About Equal Groups Division \\ Moving Beyond Whole Numbers \\ Key Ideas \\ Try it Out! \\ Reflect \\ Chapter 7: Multiplicative Comparisons: Another Asymmetric Relationship \\ Thinking About Multiplicative Comparisons \\ Moving Beyond Whole Numbers \\ Key Ideas \\ Try It Out! \\ Reflect \\ Chapter 8: Area and Array: Two Factors, Same Job \\ Thinking About Area and Array Situations \\ Moving Beyond Whole Numbers \\ Key Ideas \\ Try It Out! \\ Reflect \\ Chapter 9: Changing How You Teach Word Problems \\ Getting into the Mathematizing Sandbox \\ 8 Shifts in Instruction for Building Students’ Problem-Solving Skills \\ Guidance for Moving Forward: FAQ’s \\ Appendix A – Situation Tables \\ References \\ Index
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