Generation of mathematical knowledge through heuristic refutation
Generation of mathematical knowledge through heuristic refutation
In this presentation, we report on an intervention study implemented in a lower secondary school in Japan (students aged 14–15) in which the students engaged in mathematical activity involving proofs and refutations. In the implemented lessons, tasks designed using specific principles, and the teacher’s roles, supported the students in finding and proving the inscribed quadrilateral theorem through addressing counterexamples they discovered. We show how this meant the generation of mathematical knowledge during the process of dealing with counterexamples.
mathematics, education, proof, refutation
Komatsu, Kotaro
22446313-5c59-4d33-a7c2-94684615e98f
Jones, Keith
ea790452-883e-419b-87c1-cffad17f868f
22 March 2019
Komatsu, Kotaro
22446313-5c59-4d33-a7c2-94684615e98f
Jones, Keith
ea790452-883e-419b-87c1-cffad17f868f
Komatsu, Kotaro and Jones, Keith
(2019)
Generation of mathematical knowledge through heuristic refutation.
Interdisciplinary Symposium on Mathematics and Practice: Historical, philosophical and educational perspectives, Universität Rostock, Rostock, Germany.
22 - 23 Mar 2019.
1 pp
.
Record type:
Conference or Workshop Item
(Paper)
Abstract
In this presentation, we report on an intervention study implemented in a lower secondary school in Japan (students aged 14–15) in which the students engaged in mathematical activity involving proofs and refutations. In the implemented lessons, tasks designed using specific principles, and the teacher’s roles, supported the students in finding and proving the inscribed quadrilateral theorem through addressing counterexamples they discovered. We show how this meant the generation of mathematical knowledge during the process of dealing with counterexamples.
Text
Komatsu&Jones_MaP_Symposium_2019
- Accepted Manuscript
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Published date: 22 March 2019
Venue - Dates:
Interdisciplinary Symposium on Mathematics and Practice: Historical, philosophical and educational perspectives, Universität Rostock, Rostock, Germany, 2019-03-22 - 2019-03-23
Keywords:
mathematics, education, proof, refutation
Identifiers
Local EPrints ID: 446032
URI: http://eprints.soton.ac.uk/id/eprint/446032
PURE UUID: 06715422-3b05-4ddb-8356-8d6bbf0a752c
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Date deposited: 19 Jan 2021 17:32
Last modified: 16 Mar 2024 10:30
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Contributors
Author:
Kotaro Komatsu
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