オープンなフローチャート証明をすることの効果と限界
オープンなフローチャート証明をすることの効果と限界
In a study of open flow-chart proving, we report possible effects and limitations by examining, from a theoretical perspective, the features of this approach such as visualising proof structures and promoting the construction of different proofs. We conclude that the use of open flow-chart proving can contribute to a) helping students develop their holistic level of understanding, b) thinking forwards and backwards between premises and conclusions, and c) understanding networks between premises, intermediate steps, and conclusions. Limitations can be that flow-chart proving restricts students into thinking that the congruence conditions, for example, should be used in any proofs in geometry, and the transition from flow-chart proving to closed written proofs might be challenging.
mathematics, education, proof
333-334
Miyazaki, Mikio
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Matsuoka, Yasushi
b7779aa7-e28f-48cf-9703-4ee9ecfd1ba1
Fujita, Taro
8564512b-09a9-498f-8fc7-0569d071f04c
Jones, Keith
ea790452-883e-419b-87c1-cffad17f868f
September 2014
Miyazaki, Mikio
b0272598-9ddc-47c8-8d0e-8215a5cb1d5e
Matsuoka, Yasushi
b7779aa7-e28f-48cf-9703-4ee9ecfd1ba1
Fujita, Taro
8564512b-09a9-498f-8fc7-0569d071f04c
Jones, Keith
ea790452-883e-419b-87c1-cffad17f868f
Miyazaki, Mikio, Matsuoka, Yasushi, Fujita, Taro and Jones, Keith
(2014)
オープンなフローチャート証明をすることの効果と限界.
Proceedings of the Annual Meeting of the Japan Society for Science Education, 38, .
(doi:10.14935/jssep.38.0_333).
Abstract
In a study of open flow-chart proving, we report possible effects and limitations by examining, from a theoretical perspective, the features of this approach such as visualising proof structures and promoting the construction of different proofs. We conclude that the use of open flow-chart proving can contribute to a) helping students develop their holistic level of understanding, b) thinking forwards and backwards between premises and conclusions, and c) understanding networks between premises, intermediate steps, and conclusions. Limitations can be that flow-chart proving restricts students into thinking that the congruence conditions, for example, should be used in any proofs in geometry, and the transition from flow-chart proving to closed written proofs might be challenging.
Text
Miyazaki-etc_Effects_Limits_Open_Flow-chart_Proving_2014
- Accepted Manuscript
More information
Published date: September 2014
Venue - Dates:
2014 Annual meeting of Japan Society for Science Education (JSSE), Saitama University, Saitama, Japan, 2014-09-13 - 2014-09-15
Alternative titles:
Effects and limits of open flow-chart proving
Keywords:
mathematics, education, proof
Identifiers
Local EPrints ID: 445740
URI: http://eprints.soton.ac.uk/id/eprint/445740
ISSN: 2186-3628
PURE UUID: c0e63476-a3f8-489a-8cfa-ca2e56ef9d88
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Date deposited: 06 Jan 2021 17:47
Last modified: 16 Mar 2024 10:29
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Contributors
Author:
Mikio Miyazaki
Author:
Yasushi Matsuoka
Author:
Taro Fujita
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