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ICME-13 Monographs

International Perspectives on the Teaching and Learning of Geometry in Secondary Schools

Editors: Herbst, P., Cheah, U.H., Richard, P.R., Jones, K. (Eds.)

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  • Presents a wealth of perspectives on how to innovate in teaching geometry
  • Offers ideas for conceptualizing studies of geometry instruction and analyzing classroom data
  • Offers information on the current state of geometry instruction around the world
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eBook $89.00
price for USA in USD (gross)
  • ISBN 978-3-319-77476-3
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $119.00
price for USA in USD
  • ISBN 978-3-319-77475-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $119.00
price for USA in USD
  • ISBN 978-3-030-08464-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

This book presents current perspectives on theoretical and empirical issues related to the teaching and learning of geometry at secondary schools. It contains chapters contributing to three main areas. A first set of chapters  examines mathematical, epistemological, and curricular perspectives. A second set of chapters presents studies on geometry instruction and teacher knowledge, and a third set of chapters offers studies on geometry thinking and learning. Specific research topics addressed also include teaching practice, learning trajectories, learning difficulties, technological resources, instructional design, assessments, textbook analyses, and teacher education in geometry. 

Geometry remains an essential and critical topic in school mathematics. As they learn geometry, students develop essential mathematical thinking and visualization skills and learn a language that helps them relate to and interact with the physical world. Geometry has traditionally been included as a subject of study in secondary mathematics curricula, but it has also featured as a resource in out-of-school problem solving, and has been connected to various human activities such as sports, games, and artwork. Furthermore, geometry often plays a role in teacher preparation, undergraduate mathematics, and at the workplace. New technologies, including dynamic geometry software, computer-assisted design software, and geometric positioning systems, have provided more resources for teachers to design environments and tasks in which students can learn and use geometry. In this context, research on the teaching and learning of geometry will continue to be a key element on the research agendas of mathematics educators, as researchers continue to look for ways to enhance student learning and to understand student thinking and teachers’ decision making.

About the authors
Reviews

“Research interests concerning and approaches to the teaching and learning of secondary geometry are wide and diverse. … The variety of interests and approaches is reflected in the collection of papers presented in the monograph. … What is clear from each offering is the recognition of the importance and power of geometry, the need for those concerned to comprehend concepts, and the influence of teachers on the outcomes of their wards.” (Rachael Horsman, Research in Mathematics Education, November 19, 2018)

Table of contents (21 chapters)

Table of contents (21 chapters)
  • International Perspectives on Secondary Geometry Education: An Introduction

    Pages 1-4

    Herbst, Patricio (et al.)

  • Thinking About the Teaching of Geometry Through the Lens of the Theory of Geometric Working Spaces

    Pages 5-21

    Kuzniak, Alain

  • Epistemological Features of a Constructional Approach to Regular 4-Polytopes

    Pages 23-38

    Berendonk, Stephan (et al.)

  • Opportunities for Reasoning and Proving in Geometry in Secondary School Textbooks from Trinidad and Tobago

    Pages 39-58

    Hunte, Andrew A.

  • Enacting Functions from Geometry to Algebra

    Pages 59-86

    Steketee, Scott (et al.)

Buy this book

eBook $89.00
price for USA in USD (gross)
  • ISBN 978-3-319-77476-3
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $119.00
price for USA in USD
  • ISBN 978-3-319-77475-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $119.00
price for USA in USD
  • ISBN 978-3-030-08464-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
International Perspectives on the Teaching and Learning of Geometry in Secondary Schools
Editors
  • Patricio Herbst
  • Ui Hock Cheah
  • Philippe R. Richard
  • Keith Jones
Series Title
ICME-13 Monographs
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG, part of Springer Nature
eBook ISBN
978-3-319-77476-3
DOI
10.1007/978-3-319-77476-3
Hardcover ISBN
978-3-319-77475-6
Softcover ISBN
978-3-030-08464-6
Series ISSN
2520-8322
Edition Number
1
Number of Pages
VI, 386
Number of Illustrations
60 b/w illustrations, 120 illustrations in colour
Topics