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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
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
b0272598-9ddc-47c8-8d0e-8215a5cb1d5e
Fujita, Taro
8a05b8fc-a1ce-4a7b-9399-3fb00639a3cc
Murakami, Youichi
a6ea7280-f533-440d-bc4c-77d359cf819c
Baba, Naoki
34e42937-27f7-4ee0-a0dc-eb9e52b3948a
Jones, Keith
ea790452-883e-419b-87c1-cffad17f868f
Miyazaki, Mikio
b0272598-9ddc-47c8-8d0e-8215a5cb1d5e
Fujita, Taro
8a05b8fc-a1ce-4a7b-9399-3fb00639a3cc
Murakami, Youichi
a6ea7280-f533-440d-bc4c-77d359cf819c
Baba, Naoki
34e42937-27f7-4ee0-a0dc-eb9e52b3948a
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
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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
ORCID for Keith Jones: ORCID iD orcid.org/0000-0003-3677-8802

Catalogue record

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
Author: Keith Jones ORCID iD

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