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

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  • © 2018

Overview

  • 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

Part of the book series: ICME-13 Monographs (ICME13Mo)

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Table of contents (21 chapters)

Keywords

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.

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)

Editors and Affiliations

  • School of Education, University of Michigan, Ann Arbor, USA

    Patricio Herbst

  • Institute of Teacher Education, Penang, Malaysia

    Ui Hock Cheah

  • Département de didactique, Université de Montréal, Montreal, Canada

    Philippe R. Richard

  • School of Education, University of Southampton, Southampton, United Kingdom

    Keith Jones

About the editors


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

  • DOI: https://doi.org/10.1007/978-3-319-77476-3

  • Publisher: Springer Cham

  • eBook Packages: Education, Education (R0)

  • Copyright Information: Springer International Publishing AG, part of Springer Nature 2018

  • Hardcover ISBN: 978-3-319-77475-6Published: 11 May 2018

  • Softcover ISBN: 978-3-030-08464-6Published: 10 January 2019

  • eBook ISBN: 978-3-319-77476-3Published: 27 April 2018

  • Series ISSN: 2520-8322

  • Series E-ISSN: 2520-8330

  • Edition Number: 1

  • Number of Pages: VI, 386

  • Number of Illustrations: 60 b/w illustrations, 120 illustrations in colour

  • Topics: Mathematics Education, Geometry, Teaching and Teacher Education, Study and Learning Skills, International and Comparative Education

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