Visualizing Mathematics

The Role of Spatial Reasoning in Mathematical Thought

  • Kelly S. Mix
  • Michael T. Battista

Part of the Research in Mathematics Education book series (RME)

Table of contents

  1. Front Matter
    Pages i-xv
  2. Psychological Perspectives

    1. Front Matter
      Pages 1-1
    2. Eliza L. Congdon, Marina Vasilyeva, Kelly S. Mix, Susan C. Levine
      Pages 25-46
    3. Krzysztof Cipora, Philipp Alexander Schroeder, Mojtaba Soltanlou, Hans-Christoph Nuerk
      Pages 77-116
    4. Christopher Young, Susan C. Levine, Kelly S. Mix
      Pages 117-148
  3. Commentaries

  4. Educational Perspectives

  5. Commentaries

  6. Kelly S. Mix, Michael T. Battista
    Pages E1-E1
  7. Back Matter
    Pages 371-378

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.


Spatial reasoning Children Mathematics Psychology Education Visualization Elementary School High School Cognition Learning Space and mathematics Spatial skills STEM Cognitive psychology

Editors and affiliations

  • Kelly S. Mix
    • 1
  • Michael T. Battista
    • 2
  1. 1.Department of Human Development and Quantitative MethodologyUniversity of MarylandCollege ParkUSA
  2. 2.Department of Teaching and LearningThe Ohio State UniversityColumbusUSA

Bibliographic information

  • DOI
  • Copyright Information Springer Nature Switzerland AG 2018
  • Publisher Name Springer, Cham
  • eBook Packages Education Education (R0)
  • Print ISBN 978-3-319-98766-8
  • Online ISBN 978-3-319-98767-5
  • Series Print ISSN 2570-4729
  • Series Online ISSN 2570-4737
  • Buy this book on publisher's site