ICME-13 Monographs

Teaching and Learning Algebraic Thinking with 5- to 12-Year-Olds

The Global Evolution of an Emerging Field of Research and Practice

Editors: Kieran, Carolyn (Ed.)

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  • Highlights new developments in the teaching and learning of algebraic thinking with 5- to 12-year-olds based on research carried out in several countries around the world
  • Includes empirical findings from five continents
  • Presents well-known authors’ novel theoretical perspectives and recent empirical findings in 17 chapters
  • Builds on the work of the ICME-13 (International Congress on Mathematical Education) Topic Study Group 10 on Early Algebra
  • Provides a wealth of best practices for teaching early algebra
  • Suggests directions for further research
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eBook $119.00
price for USA in USD
  • ISBN 978-3-319-68351-5
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.99
price for USA in USD
Softcover $159.99
price for USA in USD
About this book

This book highlights new developments in the teaching and learning of algebraic thinking with 5- to 12-year-olds. Based on empirical findings gathered in several countries on five continents, it provides a wealth of best practices for teaching early algebra. Building on the work of the ICME-13 (International Congress on Mathematical Education) Topic Study Group 10 on Early Algebra, well-known authors such as Luis Radford, John Mason, Maria Blanton, Deborah Schifter, and Max Stephens, as well as younger scholars from Asia, Europe, South Africa, the Americas, Australia and New Zealand, present novel theoretical perspectives and their latest findings. 

The book is divided into three parts that focus on (i) epistemological/mathematical aspects of algebraic thinking, (ii) learning, and (iii) teaching and teacher development. Some of the main threads running through the book are the various ways in which structures can express themselves in children’s developing algebraic thinking, the roles of generalization and natural language, and the emergence of symbolism. Presenting vital new data from international contexts, the book provides additional support for the position that essential ways of thinking algebraically need to be intentionally fostered in instruction from the earliest grades.

Reviews

“This book is an excellent resource in the teaching of early algebra. … The reader can certainly have a broad and international perspectives on teaching early algebra by reading this book and can be motivated to try out and conduct their own research study. I’m certainly motivated by this book.” (Peter T. Olszewski, MAA Reviews, March, 2018)

Table of contents (17 chapters)

Table of contents (17 chapters)
  • The Emergence of Symbolic Algebraic Thinking in Primary School

    Pages 3-25

    Radford, Luis

  • Implementing a Framework for Early Algebra

    Pages 27-49

    Blanton, Maria (et al.)

  • New Words and Concepts for Early Algebra Teaching: Sharing with Teachers Epistemological Issues in Early Algebra to Develop Students’ Early Algebraic Thinking

    Pages 51-77

    Malara, Nicolina A. (et al.)

  • Seeking, Using, and Expressing Structure in Numbers and Numerical Operations: A Fundamental Path to Developing Early Algebraic Thinking

    Pages 79-105

    Kieran, Carolyn

  • Cultivating Early Algebraic Thinking

    Pages 107-138

    Carraher, David W. (et al.)

Buy this book

eBook $119.00
price for USA in USD
  • ISBN 978-3-319-68351-5
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.99
price for USA in USD
Softcover $159.99
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
Teaching and Learning Algebraic Thinking with 5- to 12-Year-Olds
Book Subtitle
The Global Evolution of an Emerging Field of Research and Practice
Editors
  • Carolyn Kieran
Series Title
ICME-13 Monographs
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-68351-5
DOI
10.1007/978-3-319-68351-5
Hardcover ISBN
978-3-319-68350-8
Softcover ISBN
978-3-319-88586-5
Series ISSN
2520-8322
Edition Number
1
Number of Pages
XIII, 443
Number of Illustrations
130 b/w illustrations, 9 illustrations in colour
Topics