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Studies in Mathematical Thinking and Learning Series


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The Origins of Mathematical Knowledge in Childhood

The Origins of Mathematical Knowledge in Childhood

1st Edition

By Catherine Sophian
June 21, 2007

This book examines the origins and development of children's mathematical knowledge. It contrasts the widely held view that counting is the starting point for mathematical development with an alternative comparison-of-quantities position. According to the comparison-of-quantities position, the ...

The Mathematics That Every Secondary School Math Teacher Needs to Know

The Mathematics That Every Secondary School Math Teacher Needs to Know

2nd Edition

By Alan Sultan, Alice F. Artzt
August 01, 2017

Designed to help pre-service and in-service teachers gain the knowledge they need to facilitate students' understanding, competency, and interest in mathematics, the revised and updated Second Edition of this popular text and resource bridges the gap between the mathematics learned in college ...

Mathematical Thinking and Problem Solving

Mathematical Thinking and Problem Solving

1st Edition

Edited By Alan H. Schoenfeld, Alan H. Sloane
September 01, 1994

In the early 1980s there was virtually no serious communication among the various groups that contribute to mathematics education -- mathematicians, mathematics educators, classroom teachers, and cognitive scientists. Members of these groups came from different traditions, had different ...

Integrating Research on the Graphical Representation of Functions

Integrating Research on the Graphical Representation of Functions

1st Edition

Edited By Thomas A. Romberg, Elizabeth Fennema, Thomas P. Carpenter
February 29, 2016

This volume focuses on the important mathematical idea of functions that, with the technology of computers and calculators, can be dynamically represented in ways that have not been possible previously. The book's editors contend that as result of recent technological developments combined with the...

Rational Numbers An Integration of Research

Rational Numbers: An Integration of Research

1st Edition

Edited By Thomas P. Carpenter, Elizabeth Fennema, Thomas A. Romberg
December 18, 2015

Until recently there had been relatively little integration of programs of research on teaching, learning, curriculum, and assessment. However, in the last few years it has become increasingly apparent that a more unified program of research is needed to acquire an understanding of teaching and ...

Becoming a Reflective Mathematics Teacher A Guide for Observations and Self-Assessment

Becoming a Reflective Mathematics Teacher: A Guide for Observations and Self-Assessment

3rd Edition

By Alice F. Artzt, Eleanor Armour-Thomas, Frances R. Curcio, Theresa J. Gurl, Mara Markinson
June 17, 2015

Ideal for preservice mathematics teachers who are taking methods courses or are student teaching, this research-based, activity-oriented guide offers a highly effective framework for teacher reflection and self-assessment. Highlighting inquiry-based, learner-centered teaching and grounded in a ...

Transnational and Borderland Studies in Mathematics Education

Transnational and Borderland Studies in Mathematics Education

1st Edition

Edited By Richard S. Kitchen, Marta Civil
April 23, 2015

Every year, significant numbers of immigrant children from Mexico enter classrooms in the United States. These immigrants comprise a heterogeneous group of students with diverse needs, abilities, and experiences. Transnational and Borderland Studies in Mathematics Education is the first ...

Beyond Classical Pedagogy Teaching Elementary School Mathematics

Beyond Classical Pedagogy: Teaching Elementary School Mathematics

1st Edition

Edited By Terry Wood, Barbara Scott Nelson, Janet E. Warfield
May 01, 2001

The emergence of the National Council of Teachers of Mathematics Standards in 1989 sparked a sea change in thinking about the nature and quality of mathematics instruction in U.S. schools. Much is known about transmission forms of mathematics teaching and the influence of this teaching on students'...

How Chinese Teach Mathematics and Improve Teaching

How Chinese Teach Mathematics and Improve Teaching

1st Edition

Edited By Yeping Li, Rongjin Huang
June 19, 2013

How Chinese Teach Mathematics and Improve Teaching builds upon existing studies to examine mathematics classroom instruction in China. It combines contributions from Chinese scholars with commentary from key Western scholars to offer a truly systematic examination of some important and distinctive ...

The Development of Arithmetic Concepts and Skills Constructive Adaptive Expertise

The Development of Arithmetic Concepts and Skills: Constructive Adaptive Expertise

1st Edition

Edited By Arthur J. Baroody, Ann Dowker
January 01, 2003

This volume focuses on two related questions that are central to both the psychology of mathematical thinking and learning and to the improvement of mathematics education: What is the nature of arithmetic expertise? How can instruction best promote it? Contributors from a variety of specialities,...

Statistical Literacy at School Growth and Goals

Statistical Literacy at School: Growth and Goals

1st Edition

By Jane M. Watson
June 23, 2006

This book reveals the development of students' understanding of statistical literacy. It provides a way to "see" student thinking and gives readers a deeper sense of how students think about important statistical topics. Intended as a complement to curriculum documents and textbook series, it is ...

Mathematical Reasoning Analogies, Metaphors, and Images

Mathematical Reasoning: Analogies, Metaphors, and Images

1st Edition

Edited By Lyn D. English
July 01, 1997

How we reason with mathematical ideas continues to be a fascinating and challenging topic of research--particularly with the rapid and diverse developments in the field of cognitive science that have taken place in recent years. Because it draws on multiple disciplines, including psychology, ...

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