Research in Mathematics Education

Visualizing Mathematics

The Role of Spatial Reasoning in Mathematical Thought

Editors: Mix, Kelly S., Battista, Michael (Eds.)

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  • Bridges two fields by including authors from psychology and education
  • Appeals to the growing interest among psychologists, education scholars, and mathematics educators in the convergence of psychology and education
  • Features cross-field commentaries  
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eBook 101,14 €
price for France (gross)
  • ISBN 978-3-319-98767-5
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  • Immediate eBook download after purchase
Hardcover 126,59 €
price for France (gross)
  • ISBN 978-3-319-98766-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

This unique volume surveys recent research on spatial visualization in mathematics in the fields of cognitive psychology and mathematics education. The general topic of spatial skill and mathematics has a long research tradition, but has been gaining attention in recent years, although much of this research happens in disconnected subfields. This volume aims to promote interaction between researchers, not only to provide a more comprehensive view of spatial visualization and mathematics, but also to stimulate innovative new directions in research based on a more coordinated effort. It features ten chapters authored by leading researchers in cognitive psychology and mathematics education, as well as includes dynamic commentaries by mathematics education researchers on cognitive psychology chapters, and by cognitive psychologists on mathematics education chapters. 

Among the topics included:

  •          From intuitive spatial measurement to understanding of units.
  •          Spatial reasoning: a critical problem-solving tool in children’s mathematics strategy tool-kit.
  •          What processes underlie the relation between spatial skill and mathematics?
  •          Learning with and from drawing in early years geometry.
  •          Communication of visual information and complexity of reasoning by mathematically talented students.

Visualizing Mathematics makes substantial progress in understanding the role of spatial reasoning in mathematical thought and in connecting various subfields of research. It promises to make an impact among psychologists, education scholars, and mathematics educators in the convergence of psychology and education.

About the authors

Kelly S. Mix, Ph.D., is Professor and Chair of the Department of Human Development and Quantitative Methods at the University of Maryland.  A former elementary school teacher with a specialization in mathematics teaching and learning, she received her Ph.D. in Developmental Psychology from the University of Chicago in 1995.

Michael T. Battista is EHE Distinguished Professor of Mathematics Education at The Ohio State University.  He earned a B.S. degree in mathematics from Kent State University in 1971, an M.S. degree in mathematics from Purdue University in 1973, and a Ph.D. degree in mathematics education from Purdue University in 1977.  

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Table of contents (19 chapters)

Table of contents (19 chapters)
  • How Much as Compared to What: Relative Magnitude as a Key Idea in Mathematics Cognition

    Jirout, Jamie (et al.)

    Pages 3-24

  • From Intuitive Spatial Measurement to Understanding of Units

    Congdon, Eliza L. (et al.)

    Pages 25-46

  • Spatial Reasoning: A Critical Problem-Solving Tool in Children’s Mathematics Strategy Tool-Kit

    Casey, Beth M. (et al.)

    Pages 47-75

  • More Space, Better Mathematics: Is Space a Powerful Tool or a Cornerstone for Understanding Arithmetic?

    Cipora, Krzysztof (et al.)

    Pages 77-116

  • What Processes Underlie the Relation Between Spatial Skill and Mathematics?

    Young, Christopher (et al.)

    Pages 117-148

Buy this book

eBook 101,14 €
price for France (gross)
  • ISBN 978-3-319-98767-5
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 126,59 €
price for France (gross)
  • ISBN 978-3-319-98766-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Visualizing Mathematics
Book Subtitle
The Role of Spatial Reasoning in Mathematical Thought
Editors
  • Kelly S. Mix
  • Michael Battista
Series Title
Research in Mathematics Education
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-319-98767-5
DOI
10.1007/978-3-319-98767-5
Hardcover ISBN
978-3-319-98766-8
Series ISSN
2570-4729
Edition Number
1
Number of Pages
XV, 378
Number of Illustrations
56 b/w illustrations, 86 illustrations in colour
Topics