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Knowing and Teaching Elementary Mathematics : Teachers' Understanding of Fundamental Mathematics in China and the United States

by: Ma, Liping

Knowing and Teaching Elementary Mathematics : Teachers' Understanding of Fundamental Mathematics in China and the United States

by: Ma, Liping

ISBN 13:
9780805829099
ISBN 10:
0805829091
Format: Paperback
Copyright: 05/01/1999
Publisher: Lawrence Erlbau
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Summary

Although Chinese students typically outperform U.S. students on comparisons of mathematics competency, Chinese teachers receive far less education than U.S. teachers. This book describes the development of the profound understanding of fundamental mathematics that elementary teachers need.

Foreword

Acknowledgments

xiii

Introduction

xvii

Subtraction With Regrouping: Approaches To Teaching A Topic

(27)

The U.S. Teachers' Approach: Borrowing Versus Regrouping

(5)

The Chinese Teachers' Approach: ``Decomposing a Higher Value Unit''

(14)

Discussion

(5)

Summary

(2)

Multidigit Number Multiplication: Dealing With Students' Mistakes

(27)

The U.S. Teachers' Approach: Lining Up Versus Separating Into Three Problems

(9)

The Chinese Teachers' Approach: Elaborating the Concept of Place Value

(14)

Discussion

(2)

Summary

(1)

Generating Representations: Division By Fractions

(29)

The U.S. Teachers' Performance on Calculation

(2)

The Chinese Teachers' Performance on Calculation

(6)

The U.S. Teachers' Representations of Division by Fractions

(8)

The Chinese Teachers' Approach to the Meaning of Division by Fractions

(8)

Discussion

(2)

Summary

(2)

Exploring New Knowledge: The Relationship Between Perimeter And Area

(23)

How the U.S. Teachers Explored the New Idea

(5)

How the Chinese Teachers Explored the New Idea

(13)

Discussion

103

(3)

Summary

106

(1)

Teachers' Subject Matter Knowledge: Profound Understanding Of Fundamental Mathematics

107

(18)

A Cross-Topic Picture of the Chinese Teachers' Knowledge: What Is Its Mathematical Substance?

108

(5)

Knowledge Packages and Their Key Pieces: Understanding Longitudinal Coherence in Learning

113

(3)

Elementary Mathematics as Fundamental Mathematics

116

(2)

Profound Understanding of Fundamental Mathematics

118

(5)

Summary

123

(2)

Profound Understanding Of Fundamental Mathematics: When And How Is It Attained

125

(19)

When Is Profound Understanding of Fundamental Mathematics Attained?: What the Preteaching Groups Knew About the Four Topics

126

(3)

Profound Understanding of Fundamental Mathematics: How It Is Attained?

129

(13)

Summary

142

(2)

Conclusion

144

(10)

Address Teacher Knowledge and Student Learning at the Same Time

146

(1)

Enhance the Interaction Between Teachers' Study of School Mathematics and How to Teach It

147

(2)

Refocus Teacher Preparation

149

(1)

Understand the Role That Curricular Materials, Including Textbooks, Might Play in Reform

150

(1)

Understand the Key to Reform: Whatever the Form of Classroom Interactions Might Be, They Must Focus on Substantive Mathematics

151

(3)

Appendix

154

(2)

References

156

(5)

Author Index

161

(2)

Subject Index

163

Amazon no longer offers textbook rentals. We do!

Knowing and Teaching Elementary Mathematics : Teachers' Understanding of Fundamental Mathematics in China and the United States

Knowing and Teaching Elementary Mathematics : Teachers' Understanding of Fundamental Mathematics in China and the United States

9780805829099

0805829091

Summary

Table of Contents

Supplemental Materials

Write a Review

Amazon no longer offers textbook rentals. We do!

Knowing and Teaching Elementary Mathematics : Teachers' Understanding of Fundamental Mathematics in China and the United States

Knowing and Teaching Elementary Mathematics : Teachers' Understanding of Fundamental Mathematics in China and the United States

9780805829099

0805829091

Summary

Table of Contents

Supplemental Materials

Write a Review

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