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Knowing and Teaching

Elementary Mathematics

Anniversary Edition

“Both sides in the math wars claim Dr. Ma as their own. This book’s broad appeal offers some

hope for common ground in math education…. We will continue fights over whether children

should be taught arithmetic rules or theory. What Dr. Ma shows is that we need both.”

—New York Times

“Liping Ma’s work has given me hope about what can be done to improve mathematics

education.”

—Richard Askey, Professor of Mathematics, University of Wisconsin-Madison

“A stealth hit for math junkies on both sides of the ‘math wars’, and a must read for anyone

interested in solving the problems of public schools.”

—Christian Science Monitor

“This book supports the need for, and indeed the educational benefits of, changing professional

teaching conditions for U.S. teachers.… It provides some food for thought for everyone

involved in improving mathematics education. And it supports the necessity that even

at the elementary school level, students can, and should, learn challenging mathematics.”

—National Council of Teachers of Mathematics News Bulletin

Studies of teachers in the United States often document insufficient subject matter knowledge

in mathematics. Yet, these studies give few examples of the knowledge teachers need

to support teaching, particularly the kind of teaching demanded by recent reforms in mathematics

education. Knowing and Teaching Elementary Mathematics describes the nature

and development of the knowledge that elementary teachers need to become accomplished

mathematics teachers, and suggests why such knowledge seems more common in China

than in the United States, despite the fact that Chinese teachers have less formal education

than their U.S. counterparts.

The anniversary edition of this bestselling volume includes the original studies that

compare U.S. and Chinese elementary school teachers’ mathematical understanding and

offers a powerful framework for grasping the mathematical content necessary to understand

and develop the thinking of school children. Highlighting notable changes in the field

and the author’s work, this new edition includes an updated preface, introduction, and key

journal articles that frame and contextualize this seminal work.

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 scientist at the Carnegie

Foundation for the Advancement of Teaching, she is now an independent scholar.

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