Cumulative lesson design for facilitating mathematical inquiry with proof(s) and proving
| Project/Area Number |
17K04764
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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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 |
Chino Kimiho 信州大学, 学術研究院教育学系, 教授 (20400658)
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| Project Period (FY) |
2017-04-01 – 2022-03-31
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| Project Status |
Completed (Fiscal Year 2021)
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| Budget Amount *help |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2019: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2018: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2017: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Keywords | 中学校数学 / 証明 / 授業デザイン / 探究 |
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| Outline of Final Research Achievements |
This research has developed the principles of designing lessons, teaching materials and teaching methods in order to enable junior high schoo students to use proof(s) as a tool in mathematical exploration. This results has been improved based on the data classroom practicies. The data classroom practicies also illustrated the gradual realization of mastery of how to use mathematical proof(s) and proving along with mathematical contents.
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| Academic Significance and Societal Importance of the Research Achievements |
とりわけ社会的意義として，証明をツールとする数学的探究の授業実践が促進するとともに，証明の構成のみをゴールとする，あるいは事柄の推測からのみ数学的探究が始まるという数学教育観の転換が促進することが期待される。
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Report
(6 results)
Research Products
(17 results)
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[Journal Article] Curriculum development for explorative proving in lower secondary school geometry: Focusing on the levels of planning and constructing a proof2019
Author(s)
Miyazaki, M., Nagata, J., Chino, K., Sasa, H., Fujita, T., Komatsu, K., & Shimizu, S.
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Journal Title
Frontiers in Education
Volume: 4(31)
DOI
Related Report
Peer Reviewed / Open Access / Int'l Joint Research
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[Journal Article] Domain-specific frameworks for curriculum development of explorative proving in junior high school mathematics2018
Author(s)
Miyazaki, M., Nakagawa, H., Chino, K., Iwata, K., Komatsu K., & Fujita, T.
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Journal Title
Proceedings of the School mathematics curriculum reforms: Challenges, changes and opportunities (ICMI Study 24)
Volume: -
Pages: 269-276
Related Report
Peer Reviewed / Int'l Joint Research
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[Presentation] Assessment of non-cognitive skills specific to contents and activities of school subjects: with a focus on “mathematical proof” in junior high school mathematics2019
Author(s)
Miyazaki, M., Nakagawa, H., Yoshikawa, A., Chino, K., Miyakawa, T., Fujita, T., & Shimizu, S.
Organizer
World Education Research Association 2019
Related Report
Int'l Joint Research
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[Presentation] The role of ‘opportunity to learn’ in the geometry curriculum: A multilevel comparison of six countries2019
Author(s)
Bokhove, C., Miyazaki, M., Leung, A., Mok, I., Komatsu, K., & Chino, K.
Organizer
2019 American Educational Research Association Annual Meeting
Related Report
Int'l Joint Research
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[Book] 新版 算数科教育研究2019
Author(s)
算数科教育学研究会(編)
Total Pages
217
Publisher
東洋館出版社
ISBN
9784491036816
Related Report
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