Construction of framework for describing students' activity of proofs and refutations in mathematical learning
| Project/Area Number |
24730730
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
Education on school subjects and activities
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| Research Institution | Shinshu University |
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Principal Investigator |
KOMATSU Kotaro 信州大学, 学術研究院教育学系, 准教授 (40578267)
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| Project Period (FY) |
2012-04-01 – 2015-03-31
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| Project Status |
Completed (Fiscal Year 2014)
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| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2014: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2013: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2012: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Keywords | 数学教育 / 証明 / 論駁 / 反例 / ラカトシュ / 発見法的規則 / 演繹的推量による内容の増加 |
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| Outline of Final Research Achievements |
This study addresses mathematical activity of proofs and refutations, aiming to construct a framework for describing such activity by students in mathematical learning. For that purpose, I examined Proofs and Refutations (Lakatos, 1976), observing and analysing mathematical lessons in secondary schools. This study constructs a framework for describing students’ reaction to a global counterexample, a counterexample that refutes a statement, and to a local counterexample, a counterexample that refutes a proof.
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Report
(4 results)
Research Products
(16 results)
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[Journal Article] Potentials for spatial geometry curriculum development with three-dimensional dynamic geometry software in lower secondary mathematics2012
Author(s)
Miyazaki, M., Chino, K., Katoh, R., Arai, H., Ogihara, F., Oguchi, Y., Morozumi, T., Kon, M., & Komatsu, K.
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Journal Title
The International Journal for Technology in Mathematics Education
Volume: 19(2)
Pages: 73-79
Related Report
Peer Reviewed
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