Secondary school mathematics learners constructing geometric flow-chart proofs with a web-based learning support system
Secondary school mathematics learners constructing geometric flow-chart proofs with a web-based learning support system
International research confirms that many secondary school students can find it difficult to understand and construct mathematical proofs. In this paper we report on a research project in which we are developing a web-based learning support platform (available in Japanese, English and Chinese) for students who are just starting to tackle congruency-based in geometry in lower secondary school. In using the technology students can complete the congruency-based proofs by dragging sides, angles and triangles to on-screen cells and our system automatically translates the figural elements to their symbolic form. Using the notion of ‘conceptions of congruency’ as our framework, we compare the tasks provided in our web-based learning system with similar tasks in a typical textbook from Japan. Our analysis shows that the tasks provided in the web-based platform aim to help learners to develop a correspondence conception of triangle congruency.
mathematics, education, proof, technology
Miyazaki, Mikio
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Fujita, Taro
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Murakami, Youichi
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Baba, Naoki
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Jones, Keith
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July 2011
Miyazaki, Mikio
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Fujita, Taro
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Murakami, Youichi
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Baba, Naoki
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Jones, Keith
ea790452-883e-419b-87c1-cffad17f868f
Miyazaki, Mikio, Fujita, Taro, Murakami, Youichi, Baba, Naoki and Jones, Keith
(2011)
Secondary school mathematics learners constructing geometric flow-chart proofs with a web-based learning support system.
10th International Conference on Technology in Mathematics Teaching: ICTMT10, University of Portsmouth, Portsmouth, United Kingdom.
05 - 08 Jul 2011.
6 pp
.
Record type:
Conference or Workshop Item
(Paper)
Abstract
International research confirms that many secondary school students can find it difficult to understand and construct mathematical proofs. In this paper we report on a research project in which we are developing a web-based learning support platform (available in Japanese, English and Chinese) for students who are just starting to tackle congruency-based in geometry in lower secondary school. In using the technology students can complete the congruency-based proofs by dragging sides, angles and triangles to on-screen cells and our system automatically translates the figural elements to their symbolic form. Using the notion of ‘conceptions of congruency’ as our framework, we compare the tasks provided in our web-based learning system with similar tasks in a typical textbook from Japan. Our analysis shows that the tasks provided in the web-based platform aim to help learners to develop a correspondence conception of triangle congruency.
Text
Miyazaki-etc_geom_flow-chart_proof_system_ICTMT10_2011
- Accepted Manuscript
More information
Published date: July 2011
Venue - Dates:
10th International Conference on Technology in Mathematics Teaching: ICTMT10, University of Portsmouth, Portsmouth, United Kingdom, 2011-07-05 - 2011-07-08
Keywords:
mathematics, education, proof, technology
Identifiers
Local EPrints ID: 446144
URI: http://eprints.soton.ac.uk/id/eprint/446144
PURE UUID: c1c23ff1-4208-4299-8f67-7be2af5e5c1c
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Date deposited: 21 Jan 2021 17:35
Last modified: 16 Mar 2024 10:45
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Contributors
Author:
Mikio Miyazaki
Author:
Taro Fujita
Author:
Youichi Murakami
Author:
Naoki Baba
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