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Knowing and Teaching Elem Math by Liping Ma (Anniversary Edition)
Taylor and Francis Group, USA
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Knowing and Teaching Mathematics
describes the nature and development of the "profound understanding of fundamental mathematics" that elementary teachers need to become accomplished mathematics teachers, and suggests why such teaching knowledge is much more common in China than in the United States, despite the fact that Chinese teachers have less formal education than their U.S. counterparts.
"This is indeed a valuable, enlightening book. It attests to the talent of its author, and to the Chinese and American learning environments that have nurtured that talent. It attests to the value of welcoming scholars from other nations to study in the United States. I urge all those who are seriously concerned about the quality of mathematics education in the United States to read this book, and to take its lessons seriously."
-- From the Foreword by Lee Shulman, President,
Carnegie Foundation for the Advancement of Teaching
"Liping Ma's work has given me hope about what can be done to improve mathematics education. She illustrates what 'profound understanding of fundamental mathematics' is for elementary school teachers and has some useful suggestions about what we can do to help more teachers acquire this knowledge."
-- Richard Askey, John Bascom Professor of Mathematics,
University of Wisconsin-Madison
Above is an extract from
Knowing and Teaching Elementary Mathematics.
Knowing and Teaching Elementary Mathematics
Author's Preface to the Anniversary Edition
Series Editor's Introduction to the Anniversary Edition
A Note about the Anniversary Edition
Subtraction With Regrouping: Approaches To Teaching A Topic
The U.S Teachers' Approach: Borrowing Versus Regrouping
The Chinese Teachers' Approach: "Decomposing a Higher Value Unit"
Multidigit Number Multiplication Dealing With Students' Mistakes
The U.S. Teachers' Approach: Lining Up Versus Separating Into Three Problems
The Chinese Teachers' Approach: Elaborating the Concept of Place Value
Generating Representations: Division By Fractions
The U.S. Teachers' Performance on Calculation
The Chinese Teachers' Performance on Calculation
The U.S. Teachers' Representations of Division by Fractions
The Chinese Teachers' Approach to the Meaning of Division by Fractions
Exploring New Knowledge: The Relationship Between Perimeter And Area
How the U.S. Teachers Explored the New Idea
How the Chinese Teachers Explored the New Idea
Teachers' Subject Matter Knowledge: Profound Understanding of Fundamental Mathematics
A Cross-Topic Picture of the Chinese Teachers' Knowledge: What is Its Mathematical Substance?
Knowledge Packages and Their Key Pieces: Understanding Longitudinal Coherence in Learning
Elementary Mathematics as Fundamental Mathematics
Profound Understanding of Fundamental Mathematics
Profound Understanding of Fundamental Mathematics: When And How Is It Attained?
When Is Profound Understanding of Fundamental Mathematics Attained? What the Preteaching Groups Knew About the Four Topics
Profound Understanding of Fundamental Mathematics: How Is It Attained?
Address Teacher Knowledge and Student Learning at the Same Time
Enhance the Interaction Between Teachers' Study of School Mathematics and How to Teach It
Refocus Teacher Preparation
Understand the Role That Curricular Materials, Including Textbooks, Might Play in Reform
Understand the Key to Reform: Whatever the Form of Classroom Interactions Might Be, They Must Focus on Substantive Mathematics
Knowing and Teaching Elementary Mathematics
is a good book for those who are interested in and concerned with mathematics education.
Elementary Mathematics for Teachers (Parker and Baldridge)
Elementary Geometry for Teachers (Parker and Baldridge)
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