Learning congruency-based proofs in geometry via a web-based learning system
Learning congruency-based proofs in geometry via a web-based learning system
Congruence, and triangle congruence in particular, is generally taken to be a key topic in school geometry. This is because the three conditions of congruent triangles are very useful in proving geometrical theorems and also because triangle congruency leads on to the idea of mathematical similarity via similar triangles. Despite the centrality of congruence in general, and of congruent triangles in particular, there appears to be little research on the topic. In this paper, we use evidence from an on-going research project to illustrate how a web-based learning system for geometrical proof might help to develop Year 9 pupils’ capability with congruent triangles. Using the notion of ‘conceptions of congruency’ as our framework, we first characterise our web-based learning system in terms of four different ‘conceptions’ of congruency by comparing the online tasks with activities from a Year 9 textbook. We then discuss how the web-based learning system would aid pupils when they are tackling congruency-based proofs in geometry
geometry, congruency, proof, web-based learning system, internet, teaching, learning, mathematics
31-36
Jones, Keith
ea790452-883e-419b-87c1-cffad17f868f
Fujita, Taro
8a05b8fc-a1ce-4a7b-9399-3fb00639a3cc
Miyazaki, Mikio
812d859a-9bc0-41af-9577-2c8a7fef9e58
March 2013
Jones, Keith
ea790452-883e-419b-87c1-cffad17f868f
Fujita, Taro
8a05b8fc-a1ce-4a7b-9399-3fb00639a3cc
Miyazaki, Mikio
812d859a-9bc0-41af-9577-2c8a7fef9e58
Jones, Keith, Fujita, Taro and Miyazaki, Mikio
(2013)
Learning congruency-based proofs in geometry via a web-based learning system.
Proceedings of the British Society for Research into Learning Mathematics, 33 (1), .
Abstract
Congruence, and triangle congruence in particular, is generally taken to be a key topic in school geometry. This is because the three conditions of congruent triangles are very useful in proving geometrical theorems and also because triangle congruency leads on to the idea of mathematical similarity via similar triangles. Despite the centrality of congruence in general, and of congruent triangles in particular, there appears to be little research on the topic. In this paper, we use evidence from an on-going research project to illustrate how a web-based learning system for geometrical proof might help to develop Year 9 pupils’ capability with congruent triangles. Using the notion of ‘conceptions of congruency’ as our framework, we first characterise our web-based learning system in terms of four different ‘conceptions’ of congruency by comparing the online tasks with activities from a Year 9 textbook. We then discuss how the web-based learning system would aid pupils when they are tackling congruency-based proofs in geometry
Text
Jones-etc_learning_congruency_proofs_web-based_2013.pdf
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Available under License Other.
More information
Published date: March 2013
Keywords:
geometry, congruency, proof, web-based learning system, internet, teaching, learning, mathematics
Organisations:
Mathematics, Science & Health Education
Identifiers
Local EPrints ID: 372524
URI: http://eprints.soton.ac.uk/id/eprint/372524
ISSN: 1463-6840
PURE UUID: d4e26b30-a55b-4f1e-96f9-e5bad5ef56e2
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Date deposited: 12 Dec 2014 16:08
Last modified: 14 Mar 2024 18:38
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Contributors
Author:
Taro Fujita
Author:
Mikio Miyazaki
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