Interpretation and production of diagrams when tackling proof problems in a dynamic geometry environment
Interpretation and production of diagrams when tackling proof problems in a dynamic geometry environment
In this paper, we employ the distinction between ‘object-oriented’ interpretation and ‘relation-oriented’ interpretation of diagrams to analyse data from a task-based interview with a triad of secondary school students (aged 16–17 years old) conducted in our research project addressing task design for facilitating student activity of proofs and refutations. We show that the notion of relation-oriented interpretation might be useful for understanding the way students tackling proof problems use a DGE to produce diagrams, some of which are counterexamples to their conjecture.
mathematics, education, proof, diagrams
Komatsu, Kotaro
22446313-5c59-4d33-a7c2-94684615e98f
Jones, Keith
ea790452-883e-419b-87c1-cffad17f868f
12 November 2016
Komatsu, Kotaro
22446313-5c59-4d33-a7c2-94684615e98f
Jones, Keith
ea790452-883e-419b-87c1-cffad17f868f
Komatsu, Kotaro and Jones, Keith
(2016)
Interpretation and production of diagrams when tackling proof problems in a dynamic geometry environment.
Conference of the British Society for Research into Learning Mathematics (BSRLM), University of Brighton, Brighton, United Kingdom.
12 Nov 2016.
1 pp
.
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Conference or Workshop Item
(Paper)
Abstract
In this paper, we employ the distinction between ‘object-oriented’ interpretation and ‘relation-oriented’ interpretation of diagrams to analyse data from a task-based interview with a triad of secondary school students (aged 16–17 years old) conducted in our research project addressing task design for facilitating student activity of proofs and refutations. We show that the notion of relation-oriented interpretation might be useful for understanding the way students tackling proof problems use a DGE to produce diagrams, some of which are counterexamples to their conjecture.
Text
Komatsu&Jones_diagrams_proof_problems_BSRLM_Nov2016
- Accepted Manuscript
More information
Published date: 12 November 2016
Venue - Dates:
Conference of the British Society for Research into Learning Mathematics (BSRLM), University of Brighton, Brighton, United Kingdom, 2016-11-12 - 2016-11-12
Keywords:
mathematics, education, proof, diagrams
Identifiers
Local EPrints ID: 446034
URI: http://eprints.soton.ac.uk/id/eprint/446034
PURE UUID: 8a5dd1a3-2de5-446b-86fb-bf55f243bafd
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Date deposited: 19 Jan 2021 17:33
Last modified: 16 Mar 2024 10:30
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Contributors
Author:
Kotaro Komatsu
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