The 20th anniversary edition of this groundbreaking and bestselling volume offers powerful examples for grasping the mathematical content necessary to understand and develop the thinking of school children.
The 20th anniversary edition of this groundbreaking and bestselling volume offers powerful examples for grasping the mathematical content necessary to understand and develop the thinking of school children.
Produktdetails
Produktdetails
Studies in Mathematical Thinking and Learning Series
Liping Ma earned a Ph.D. from Stanford University, following a masters degree in education from East China Normal University. After a term as a senior scholar at the Carnegie Foundation for the Advancement of Teaching, she is now an independent scholar. She served as a member of the National Mathematics Advisory Panel from 2006 to 2008.
Inhaltsangabe
A Note about the 20th Anniversary Edition Author's Preface to the 20th Anniversary Edition (Liping Ma) Series Editor's Introduction to the 20th Anniversary Edition (Alan Schoenfeld) Foreword (Lee Shulman) 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 "Bridging Polarities: How Liping Ma's Knowing and Teaching Elementary Mathematics Entered the U.S. Mathematics and Mathematics Education Discourses" (Yanping Fang and Lynn Paine, Pedagogies) Response to "Bridging Polarities" (Liping Ma, Pedagogies) New to the 20th Anniversary edition: "A Critique of the Structure of U.S. Elementary School Mathematics" (Liping Ma, Notices of the American Mathematical Society) Index
A Note about the 20th Anniversary Edition Author's Preface to the 20th Anniversary Edition (Liping Ma) Series Editor's Introduction to the 20th Anniversary Edition (Alan Schoenfeld) Foreword (Lee Shulman) 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 "Bridging Polarities: How Liping Ma's Knowing and Teaching Elementary Mathematics Entered the U.S. Mathematics and Mathematics Education Discourses" (Yanping Fang and Lynn Paine, Pedagogies) Response to "Bridging Polarities" (Liping Ma, Pedagogies) New to the 20th Anniversary edition: "A Critique of the Structure of U.S. Elementary School Mathematics" (Liping Ma, Notices of the American Mathematical Society) Index
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