Students’ level of 3D geometrical thinking: The influence of 3D representations
Students’ level of 3D geometrical thinking: The influence of 3D representations
In this short paper, we use the levels of 3D geometrical thinking proposed by Gutiérrez (1992) to analyse students’ reasoning about a 2D representation of a 3D shape. Based on our analysis, we propose that it is necessary to modify the level descriptors suggested by Gutiérrez in order to better capture students’ understanding of representations of 3D shapes. Our proposal is to sub-divide levels 2 and 3 with two sub-levels each.
mathematics, education, geometry
90
International Group for the Psychology of Mathematics Education
Kondo, Yutaka
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Fujita, Taro
8564512b-09a9-498f-8fc7-0569d071f04c
Kunimune, Susumu
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Jones, Keith
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July 2013
Kondo, Yutaka
ba75a432-5351-425c-9c6a-526ec5f4b537
Fujita, Taro
8564512b-09a9-498f-8fc7-0569d071f04c
Kunimune, Susumu
c1255c4f-6293-4a26-a8b6-ff02013e3192
Jones, Keith
ea790452-883e-419b-87c1-cffad17f868f
Kondo, Yutaka, Fujita, Taro, Kunimune, Susumu and Jones, Keith
(2013)
Students’ level of 3D geometrical thinking: The influence of 3D representations.
Lindmeier, Anke M. and Heinze, Aiso
(eds.)
In Proceedings of the 37th Conference of the International Group for the Psychology of Mathematics Education (PME37).
vol. 5,
International Group for the Psychology of Mathematics Education.
.
Record type:
Conference or Workshop Item
(Paper)
Abstract
In this short paper, we use the levels of 3D geometrical thinking proposed by Gutiérrez (1992) to analyse students’ reasoning about a 2D representation of a 3D shape. Based on our analysis, we propose that it is necessary to modify the level descriptors suggested by Gutiérrez in order to better capture students’ understanding of representations of 3D shapes. Our proposal is to sub-divide levels 2 and 3 with two sub-levels each.
Text
Kondo -etc_PME37_2013
- Accepted Manuscript
More information
Published date: July 2013
Venue - Dates:
The 37th Conference of the International Group for the Psychology of Mathematics Education, Kiel, Germany, 2013-07-28 - 2013-08-02
Keywords:
mathematics, education, geometry
Identifiers
Local EPrints ID: 445811
URI: http://eprints.soton.ac.uk/id/eprint/445811
ISSN: 0771-100X
PURE UUID: 3340e747-dd35-456a-b41f-f38d539a9ec0
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Date deposited: 08 Jan 2021 17:30
Last modified: 16 Mar 2024 10:29
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Contributors
Author:
Yutaka Kondo
Author:
Taro Fujita
Author:
Susumu Kunimune
Editor:
Anke M. Lindmeier
Editor:
Aiso Heinze
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