Knowing and teaching elementary mathematics: teachers' understanding of fundamental mathematics in China and the United States

Author's Preface to the Anniversary Edition Series Editor's Introduction to the Anniversary Edition A Note about the Anniversary Edition Foreword Acknowledgments Introduction 1. Subtraction With Regrouping: Approaches To Teaching A Topic 2. Multidigit Number Multiplication: Dealing With Students' Mistakes 3. Generating Representations: Division By Fractions 4. Exploring New Knowledge: The Relationship Between Perimeter And Area 5. Teachers' Subject Matter Knowledge: Profound Understanding Of Fundamental Mathematics 6. Profound Understanding Of Fundamental Mathematics: When And How Is It Attained 7. Conclusion Appendix References New to the Anniversary Edition: Journal Article #1 New to the Anniversary Edition: Journal Article #2 Author Index Subject Index