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The value of geometrical constructions: Discovering, reasoning and proving in geometry

The value of geometrical constructions: Discovering, reasoning and proving in geometry
The value of geometrical constructions: Discovering, reasoning and proving in geometry
This short paper outlines a guiding principle that can be used to inform the use of geometrical constructions in ways that foster students’ proving processes (be this with or without technology). With data from two cases from Grade 7 (students aged 12-13 year old), we found that the students, in gradually becoming aware of how they could utilise properties of shapes, made a shift in their reasoning from relying on visual appearances or measurement to reasoning with properties of shapes.
mathematics, education, geometry
0771-100X
75
International Group for the Psychology of Mathematics Education
Fujita, Taro
8564512b-09a9-498f-8fc7-0569d071f04c
Kunimune, Susumu
c1255c4f-6293-4a26-a8b6-ff02013e3192
Jones, Keith
ea790452-883e-419b-87c1-cffad17f868f
Oesterle, Susan
Nicol, Cynthia
Liljedahl, Peter
Allan, Darien
Fujita, Taro
8564512b-09a9-498f-8fc7-0569d071f04c
Kunimune, Susumu
c1255c4f-6293-4a26-a8b6-ff02013e3192
Jones, Keith
ea790452-883e-419b-87c1-cffad17f868f
Oesterle, Susan
Nicol, Cynthia
Liljedahl, Peter
Allan, Darien

Fujita, Taro, Kunimune, Susumu and Jones, Keith (2014) The value of geometrical constructions: Discovering, reasoning and proving in geometry. Oesterle, Susan, Nicol, Cynthia, Liljedahl, Peter and Allan, Darien (eds.) In Proceedings of the 38th Conference of the International Group for the Psychology of Mathematics Education and the 36th Conference of the North American Chapter of the Psychology of Mathematics Education (PME38 & PME-NA36). vol. 6, International Group for the Psychology of Mathematics Education. p. 75 .

Record type: Conference or Workshop Item (Paper)

Abstract

This short paper outlines a guiding principle that can be used to inform the use of geometrical constructions in ways that foster students’ proving processes (be this with or without technology). With data from two cases from Grade 7 (students aged 12-13 year old), we found that the students, in gradually becoming aware of how they could utilise properties of shapes, made a shift in their reasoning from relying on visual appearances or measurement to reasoning with properties of shapes.

Text
Fujita-etc_geometric_constructions_PME38_2014 - Accepted Manuscript
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More information

Published date: July 2014
Venue - Dates: 38th Conference of the International Group for the Psychology of Mathematics Education and the 36th Conference of the North American Chapter of the Psychology of Mathematics Education, University of British Columbia, Vancouver, Canada, 2014-07-15 - 2014-07-20
Keywords: mathematics, education, geometry

Identifiers

Local EPrints ID: 445745
URI: http://eprints.soton.ac.uk/id/eprint/445745
ISSN: 0771-100X
PURE UUID: 6b6d4c58-a2cd-46f7-bbec-5d764a15839f
ORCID for Keith Jones: ORCID iD orcid.org/0000-0003-3677-8802

Catalogue record

Date deposited: 06 Jan 2021 17:48
Last modified: 16 Mar 2024 10:29

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Contributors

Author: Taro Fujita
Author: Susumu Kunimune
Author: Keith Jones ORCID iD
Editor: Susan Oesterle
Editor: Cynthia Nicol
Editor: Peter Liljedahl
Editor: Darien Allan

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