2011 Fiscal Year Final Research Report
Investigation of cognitive and affective factors that lead students to produce incomplete proof at junior high school level
| Project/Area Number |
22730700
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Education on school subjects and activities
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| Research Institution | Utsunomiya University |
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Principal Investigator |
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| Project Period (FY) |
2010 – 2011
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| Keywords | 各教科の教育(算数・数学) |
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| Research Abstract |
This study aims to explore cognitive and affective factors that lead to incomplete proof, focusing on students' reasoning in the process that they produce it. This study divided into some types of incomplete proof produced by students, identified cognitive and affective factors that lead to each type and inferred students' thinking hidden behind each factor of incomplete proof. Focusing on the proving process by students who can successfully construct geometrical proof, this study clarifies the characteristics of mathematical cognition in their proving process and suggests cognitive factors lead to incomplete proof based on them.
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Research Products
(7 results)
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[Journal Article] An Assessment Famework for Students' Abilities/Competencies in Proving2010
Author(s)
Chino, K., Fujita, T., Komatsu, K., Makino, T., Miyakawa, T., Miyazaki, M., Mizutani, N., Nakagawa, H., Otsuka, S. & Tsujiyama, Y
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Journal Title
Proceedings of the 5th East Asia Regional Conference on Mathematics Education
Volume: Vol.2
Pages: 416-423
Peer Reviewed
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