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Research on the teaching and learning of geometry

Research on the teaching and learning of geometry
Research on the teaching and learning of geometry
The chapter provides a comprehensive review of recent research in geometry education, covering geometric and spatial thinking, geometric measurement, and visualization related to geometry, as well as encompassing theoretical developments and research into teaching and teacher development. Studies examining the uses of forms of digital technology are addressed in every section. The content of the chapter reflects the main emphases of research in geometry education as presented at PME conferences over the period 2005–2015. The synthesis is presented in the form of the following sections: spatial reasoning, geometric visualization, geometric measurement, geometric reasoning and proving, students’ knowledge, teachers’ knowledge and development, and teaching geometry and the design and use of geometric tasks. While some topics of research are under-represented (including the topics of congruency and similarity, transformation geometry, analytic/ coordinate geometry, vector geometry), research in geometry education is embracing the use of more recent discursive, embodied and eco-cultural perspectives, and is also employing new methods such as eye-tracking. As research develops further, the affordance of digital technologies is enriching approaches to geometric and spatial teaching and learning by providing new ways of apprehension and representation, new manipulation and processes, wider and deeper conceptual understanding and linking of different meanings and treatments.
education, research, teaching, learning, geometry, spatial reasoning, visualization, measurement, reasoning, proving, teachers, tasks, PME, IGPME
109-149
Sense Publishers
Jones, Keith
ea790452-883e-419b-87c1-cffad17f868f
Tzekaki, Marianna
f28b91b7-3038-4dfc-be01-bd65c2accd0d
Gutiérrez, Ángel
Leder, Gilah
Boero, Paulo
Jones, Keith
ea790452-883e-419b-87c1-cffad17f868f
Tzekaki, Marianna
f28b91b7-3038-4dfc-be01-bd65c2accd0d
Gutiérrez, Ángel
Leder, Gilah
Boero, Paulo

Jones, Keith and Tzekaki, Marianna (2016) Research on the teaching and learning of geometry. In, Gutiérrez, Ángel, Leder, Gilah and Boero, Paulo (eds.) The Second Handbook of Research on the Psychology of Mathematics Education. Rotterdam, NL. Sense Publishers, pp. 109-149. (doi:10.1007/978-94-6300-561-6_4).

Record type: Book Section

Abstract

The chapter provides a comprehensive review of recent research in geometry education, covering geometric and spatial thinking, geometric measurement, and visualization related to geometry, as well as encompassing theoretical developments and research into teaching and teacher development. Studies examining the uses of forms of digital technology are addressed in every section. The content of the chapter reflects the main emphases of research in geometry education as presented at PME conferences over the period 2005–2015. The synthesis is presented in the form of the following sections: spatial reasoning, geometric visualization, geometric measurement, geometric reasoning and proving, students’ knowledge, teachers’ knowledge and development, and teaching geometry and the design and use of geometric tasks. While some topics of research are under-represented (including the topics of congruency and similarity, transformation geometry, analytic/ coordinate geometry, vector geometry), research in geometry education is embracing the use of more recent discursive, embodied and eco-cultural perspectives, and is also employing new methods such as eye-tracking. As research develops further, the affordance of digital technologies is enriching approaches to geometric and spatial teaching and learning by providing new ways of apprehension and representation, new manipulation and processes, wider and deeper conceptual understanding and linking of different meanings and treatments.

Text
Jones&Tzekaki_PME_2nd_research_handbook_geometry_2016 - Accepted Manuscript
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More information

Published date: 6 May 2016
Keywords: education, research, teaching, learning, geometry, spatial reasoning, visualization, measurement, reasoning, proving, teachers, tasks, PME, IGPME
Organisations: Mathematics, Science & Health Education

Identifiers

Local EPrints ID: 400610
URI: https://eprints.soton.ac.uk/id/eprint/400610
PURE UUID: 1513f894-385d-47d4-a29a-2b7492f8b2a6
ORCID for Keith Jones: ORCID iD orcid.org/0000-0003-3677-8802

Catalogue record

Date deposited: 20 Sep 2016 09:37
Last modified: 10 Dec 2019 01:56

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Contributors

Author: Keith Jones ORCID iD
Author: Marianna Tzekaki
Editor: Ángel Gutiérrez
Editor: Gilah Leder
Editor: Paulo Boero

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