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Ma - Knowing and Teaching Elementary Mathematics

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Ma Knowing and Teaching Elementary Mathematics
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    Knowing and Teaching Elementary Mathematics
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Ch. 1. Teaching and learning primary mathematics -- ch. 2. What should I know? What do I know? -- ch. 3. Problem solving using mathematics -- ch. 4. Number : counting, place value, fractions, decimals and percentages -- ch. 5. Number : knowing and using number facts -- ch. 6. Number : calculation (addiction, subtraction, multiplication and division) -- ch. 7. Algebra -- ch. 8. Geometry : properties of shapes, position and direction -- ch. 9. Measurement -- ch. 10. Statistics and handling data -- ch. 11. Teaching and learning mathematics in the early years -- ch. 12. Issues of inclusion -- ch. 13. ICT and the use of calculators in teaching and learning mathematics.

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Knowing and Teaching Elementary Mathematics

Anniversary Edition

Both sides in the math wars claim Dr. Ma as their own. This books 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 Mas 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 authors 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.

STUDIES IN MATHEMATICAL THINKING AND LEARNING

Alan H.Schoenfeld, Series Editor

Artzt/Armour-Thomas/CurcioBecoming a Reflective Mathematics Teacher: A Guide for Observation and Self-Assessment, Second Edition

Baroody/Dowker (Eds.)The Development of Arithmetic Concepts and Skills: Constructing Adaptive Expertise

BoalerExperiencing School Mathematics: Traditional and Reform Approaches to Teaching and Their Impact on Student Learning

Carpenter/Fennema/Romberg (Eds.)Rational Numbers: An Integration of Research

Chazan/Callis/Lehman (Eds.)Embracing Reason: Egalitarian Ideals and the Teaching of High School Mathematics

Cobb/Bauersfeld (Eds.)The Emergence of Mathematical Meaning: Interaction in Classroom Cultures

CohenTeachers Professional Development and the Elementary Mathematics Classroom: Bringing Understandings to Light

Clements/Sarama/DiBiase (Eds.)Engaging Young Children in Mathematics: Standards for Early Childhood Mathematics Education

English (Ed.)Mathematical and Analogical Reasoning of Young Learners

English (Ed.)Mathematical Reasoning: Analogies, Metaphors, and Images

Fennema/Nelson (Eds.)Mathematics Teachers in Transition

Fennema/Romberg (Eds.)Mathematics Classrooms That Promote Understanding

Fernandez/YoshidaLesson Study: A Japanese Approach to Improving Mathematics Teaching and Learning

Greer/Mukhopadhyay/Powell/Nelson-Barber (Eds.)Culturally Responsive Mathematics Education

Kaput/Carraher/Blanton (Eds.)Algebra in the Early Grades

LajoieReflections on Statistics: Learning, Teaching, and Assessment in Grades K-12

Lehrer/Chazan (Eds.)Designing Learning Environments for Developing Understanding of Geometry and Space

MaKnowing and Teaching Elementary Mathematics: Teachers Understanding of Fundamental Mathematics in China and the United States, Anniversary Edition

MartinMathematics Success and Failure Among African-American Youth: The Roles of Sociohistorical Context, Community Forces, School Influence, and Individual Agency

Martin (Ed.)Mathematics Teaching, Learning, and Liberation in the Lives of Black Children

Petit/Laird/MarsdenA Focus on Fractions: Bringing Research to the Classroom

ReedWord Problems: Research and Curriculum Reform

Romberg/Fennema/Carpenter (Eds.)Integrating Research on the Graphical Representation of Functions

Romberg/Carpenter/Dremock (Eds.)Understanding Mathematics and Science Matters

Romberg/ShaferThe Impact of Reform Instruction on Mathematics Achievement: An Example of a Summative Evaluation of a Standards-Based Curriculum

Sarama/ClementsEarly Childhood Mathematics Education Research: Learning Trajectories for Young Children

Schliemann/Carraher/Brizuela (Eds.)Bringing Out the Algebraic Character of Arithmetic: From Childrens Ideas to Classroom Practice

Schoenfeld (Ed.)Mathematical Thinking and Problem Solving

Senk/Thompson (Eds.)Standards-Based School Mathematics Curricula: What Are They? What Do Students Learn?

SolomonMathematical Literacy: Developing Identities of Inclusion

SophianThe Origins of Mathematical Knowledge in Childhood

Sternberg/Ben-Zeev (Eds.)The Nature of Mathematical Thinking

Stylianou/Blanton/Knuth (Eds.)Teaching and Learning Proof Across the Grades: A K-16 Perspective

Sultan/ArtztThe Mathematics That Every Secondary Mathematics Teacher Needs to Know

WatsonStatistical Literacy at School: Growth and Goals

Watson/MasonMathematics as a Constructive Activity: Learners Generating Examples

Wilcox/Lanier (Eds.)Using Assessment to Reshape Mathematics Teaching: A Casebook for Teachers and Teacher Educators, Curriculum and Staff Development Specialists

Wood/Nelson/Warfield (Eds.)Beyond Classical Pedagogy: Teaching Elementary School Mathematics

Zaskis/Campbell (Eds.)Number Theory in Mathematics Education: Perspectives and Prospects

Knowing and Teaching Elementary Mathematics

Teachers Understanding of Fundamental Mathematics in China and the United States

Anniversary Edition

Liping Ma

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