Table of Contents

Foreword by Deborah Loewenberg Ball

Acknowledgments

Introduction by Jo Boaler

Chapter 1 Opening the Door to My Classroom, Cathy Humphreys

Chapter 2 Building on Student Ideas: The Border Problem Part 1

Chapter 3 Building Understanding of Algebraic Representation: The Border Problem Part 2

Chapter 4 Defending Reasonableness: Division of Fractions

Chapter 5 Introducing the Notion of Proof

Chapter 6 Continuing Our Discussion of Proof: Convincing Others

Chapter 7 Class Participation: Through the Eyes of Students

Chapter 8 Volume: Extending Prior Knowledge

Chapter 9 Surface Area: Generating Geometric Formulas

References