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The Impact of Scale on Children’s Spatial Thought

A Quantitative Study for Two Settings in Geometry Education

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Table of contents (14 chapters)

  1. Front Matter

    Pages i-xxvii
  2. Introduction

    • Cathleen Heil
    Pages 1-16
  3. Theoretical Background

    1. Front Matter

      Pages 17-17
    2. Conceptualizing Spatial Cognition

      • Cathleen Heil
      Pages 19-56
  4. Empirical Study

    1. Front Matter

      Pages 147-147
    2. Design of the Empirical Study

      • Cathleen Heil
      Pages 149-178
    3. Additional Testing Material

      • Cathleen Heil
      Pages 235-245
    4. Data Collection

      • Cathleen Heil
      Pages 247-255
  5. Results and Discussion

    1. Front Matter

      Pages 255-255
    2. Children’s Small-Scale Spatial Abilities

      • Cathleen Heil
      Pages 259-286
    3. Children’s Large-Scale Spatial Abilities

      • Cathleen Heil
      Pages 287-331
    4. Discussion, Limitations, and Implications

      • Cathleen Heil
      Pages 375-409
    5. Conclusion

      • Cathleen Heil
      Pages 411-413
  6. Back Matter

    Pages 415-464

About this book

In this book, Cathleen Heil addresses the question of how to conceptually understand children’s spatial thought in the context of geometry education. She proposes that in order to help children develop their abilities to successfully grasp and manipulate the spatial relations they experience in their everyday lives, spatial thought should not only be addressed in written or tabletop settings at school. Instead, geometry education should also focus on settings involving real space, such as during reasoning with maps.


In a first part of this book, she theoretically addresses the construct of spatial thought at different scales of space from a cognitive psychological point of view and shows that maps can be rich sources for spatial thinking. In a second part, she proposes how to measure children’s spatial thought in a paper-and-pencil setting and map-based setting in real space. In a third, empirical part, she examines the relations between children’s spatialthought in those two settings both at a manifest and latent level.

Reviews

“This book would be of importance to researchers who are interested in the area of spatial thinking especially as it relates to children. The empirical study described in the book would also provide important information to those who are interested in geometry education in schools.” (Mary Beth Rollick, MAA Reviews, May 9, 2021)

Authors and Affiliations

  • Lüneburg, Germany

    Cathleen Heil

About the author

Cathleen Heil is a research assistant at the Institute of Mathematics and its Didactics at Leuphana University Lüneburg. She received her PhD under supervision of Prof. Dr. Silke Ruwisch. She is currently a fellow of Deutsche Telekom Stiftung, examining how learning environments involving maps may improve children‘s spatial thought in geometry education.    

Bibliographic Information

  • Book Title: The Impact of Scale on Children’s Spatial Thought

  • Book Subtitle: A Quantitative Study for Two Settings in Geometry Education

  • Authors: Cathleen Heil

  • Series Title: Studien zur theoretischen und empirischen Forschung in der Mathematikdidaktik

  • DOI: https://doi.org/10.1007/978-3-658-32648-7

  • Publisher: Springer Spektrum Wiesbaden

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Fachmedien Wiesbaden GmbH, part of Springer Nature 2020

  • Softcover ISBN: 978-3-658-32647-0Published: 23 February 2021

  • eBook ISBN: 978-3-658-32648-7Published: 22 February 2021

  • Series ISSN: 2523-8604

  • Series E-ISSN: 2523-8612

  • Edition Number: 1

  • Number of Pages: XXVII, 464

  • Number of Illustrations: 107 b/w illustrations

  • Topics: Mathematics, general, Geometry

Buy it now

Buying options

eBook USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access