Connecting Mathematical Ideas : Middle School

In math, like any subject, real learning takes place when students can connect what they already know to new ideas. In Connecting Mathematical Idea s, Jo Boaler and Cathy Humphreys offer a comprehensive way to improve your ability to help adolescents build connections between different mathematical ideas and representations and between domains like algebra and geometry.

Foreword

vii

Deborah Loewenberg Ball

Acknowledgments

xi

Introduction

1

(6)

Jo Boaler

Opening the Door to My Classroom by Cathy Humphreys

7

(6)

Building on Student Ideas: The Border Problem, Part 1

13

(11)

Building Understanding of Algebraic Representation: The Border Problem, Part 2

24

(16)

Defending Reasonableness: Division of Fractions

40

(14)

Introducing the Notion of Proof

54

(11)

Continuing Our Discussion of Proof: Convincing Others

65

(13)

Class Participation: Through the Eyes of Students

78

(13)

Volume of Prisms and Cylinders: Extending Prior Knowledge

91

(13)

Surface Area: Generating Geometric Formulas

104

(15)

References

119

What is included with this book?

The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.

The Used, Rental and eBook copies of this book are not guaranteed to include any supplemental materials. Typically, only the book itself is included. This is true even if the title states it includes any access cards, study guides, lab manuals, CDs, etc.

FREE SHIPPING

Amazon no longer offers textbook rentals. We do!

Connecting Mathematical Ideas : Middle School Video Cases to Support Teaching and Learning

Summary

Table of Contents

Supplemental Materials