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Studies in Mathematical Thinking and Learning Series


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Learning and Teaching Early Math The Learning Trajectories Approach

Learning and Teaching Early Math The Learning Trajectories Approach

3rd Edition

Forthcoming

Douglas H. Clements, Julie Sarama
December 30, 2020

The third edition of this significant and groundbreaking book summarizes current research into how young children learn mathematics, and how best to develop foundational knowledge to realize more effective teaching. Using straightforward, practical language, early math experts Douglas Clements and...

A Focus on Addition and Subtraction Bringing Mathematics Education Research to the Classroom

A Focus on Addition and Subtraction Bringing Mathematics Education Research to the Classroom

1st Edition

Forthcoming

Caroline B. Ebby, Elizabeth T. Hulbert, Rachel M. Broadhead
November 24, 2020

This innovative text offers a unique approach to making mathematics education research on addition, subtraction, and number concepts readily accessible and understandable to pre-service and in-service teachers of grades K-3. Revealing students’ thought processes with extensive annotated samples of...

Standards-based School Mathematics Curricula What Are They? What Do Students Learn?

Standards-based School Mathematics Curricula What Are They? What Do Students Learn?

1st Edition

Sharon L. Senk, Denisse R. Thompson
September 01, 2003

The Curriculum and Evaluation Standards for School Mathematics published by the National Council of Teachers of Mathematics in 1989 set forth a broad vision of mathematical content and pedagogy for grades K-12 in the United States. These Standards prompted the development of Standards-based ...

A Focus on Ratios and Proportions Bringing Mathematics Education Research to the Classroom

A Focus on Ratios and Proportions Bringing Mathematics Education Research to the Classroom

1st Edition

Marjorie M. Petit, Robert E. Laird, Matthew F. Wyneken, Frances R. Huntoon, Mary D. Abele-Austin, Jean D. Sequeira
June 03, 2020

This resource offers a groundbreaking effort to make mathematics education research on ratios and proportions readily accessible and understandable to preservice and in-service teachers of grades 6 to 8. Using extensive annotated samples of student work and based on research gathered in the Ongoing...

Knowing and Teaching Elementary Mathematics Teachers' Understanding of Fundamental Mathematics in China and the United States

Knowing and Teaching Elementary Mathematics Teachers' Understanding of Fundamental Mathematics in China and the United States

3rd Edition

Liping Ma
January 21, 2020

The 20th anniversary edition of this groundbreaking and bestselling volume offers powerful examples of the mathematics that can develop the thinking of elementary school children. Studies of teachers in the U.S. often document insufficient subject matter knowledge in mathematics. Yet, these studies...

Algebra in the Early Grades

Algebra in the Early Grades

1st Edition

James J. Kaput, David W. Carraher, Maria L. Blanton
September 14, 2007

This volume is the first to offer a comprehensive, research-based, multi-faceted look at issues in early algebra. In recent years, the National Council for Teachers of Mathematics has recommended that algebra become a strand flowing throughout the K-12 curriculum, and the 2003 RAND Mathematics ...

The Origins of Mathematical Knowledge in Childhood

The Origins of Mathematical Knowledge in Childhood

1st Edition

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

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 ...

A Focus on Multiplication and Division Bringing Research to the Classroom

A Focus on Multiplication and Division Bringing Research to the Classroom

1st Edition

Elizabeth T. Hulbert, Marjorie M. Petit, Caroline B. Ebby, Elizabeth P. Cunningham, Robert E. Laird
June 20, 2017

A Focus on Multiplication and Division is a groundbreaking effort to make mathematics education research readily accessible and understandable to pre- and in-service K–6 mathematics educators. Revealing students’ thought processes with extensive annotated samples of student work and vignettes ...

Mathematical Thinking and Problem Solving

Mathematical Thinking and Problem Solving

1st Edition

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

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

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 ...

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