Curriculum Development based on constructive relationships between Intuitive Geometry and Demonstrative Geometry in School Mathematics
| Project/Area Number |
17530653
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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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 |
ITOH Takehiro Shinshu University, 教育学部, 教授 (00015827)
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| Co-Investigator(Kenkyū-buntansha) |
MIYAZAKI Mikio 信州大学, 教育学部, 教授 (10261760)
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| Project Period (FY) |
2005 – 2008
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| Project Status |
Completed (Fiscal Year 2008)
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| Budget Amount *help |
¥4,010,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥510,000)
Fiscal Year 2008: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2007: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2006: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 2005: ¥1,100,000 (Direct Cost: ¥1,100,000)
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| Keywords | カリキュラム開発 / 直観幾何 / 論証幾何 / 構成的な接続 / 証明 / 図形教育 / カリキュラム / 接続 |
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| Research Abstract |
本研究の成果は,直観幾何の学習と論証幾何の学習の間にある不整合の特定と,直観幾何の学習と論証幾何の学習を接続するためのカリキュラムの開発である。前者については,命題の全称性の認識における不整合と,中学校数学の論証幾何カリキュラムにおける「証明」の定義における不整合を特定した。後者については,内容知での接続のために,中学第1学年図形領域「空間図形」カリキュラムを開発するとともに,方法知「証明・説明」での接続のために,証明の学習の諸相を整理するための枠組みを開発した。
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Report
(5 results)
Research Products
(26 results)
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[Journal Article] The effects of "spatial geometry curriculum with 3D DGS" in lower secondary school mathematics2007
Author(s)
K. Chino, T. Morozumi, H. Arai, F. Ogihara, Y. Oguchi, , M. Miyazaki
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Journal Title
In Woo, J. H., Lew, H. C., Park, K. S. & Seo, D. Y.(Eds.), Proceedings of the 31st Conference of the International Group for the Psychology of Mathematics Education Vol.2
Pages: 137-144
Related Report
Peer Reviewed
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[Journal Article] The effects of "spatial geometry curriculum with 3D DGS" in lower secondary school mathematics2007
Author(s)
K. Chino, T. Morozumi, H. Arai, F. Ogihara, Y. Oguchi, & M. Miyazaki
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Journal Title
In Woo, J. H., Lew, H. C., Park, K. S. & Seo, D. Y.(Eds.), Proceedings of the 31st Conference of the International Group for the Psychology of Mathematics Education Vol.2
Pages: 137-144
Related Report
Peer Reviewed
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[Presentation] The effects of "spatial geometry curriculum with 3D DGS" in lower secondary school mathematics
Author(s)
K. Chino, T. Morozumi, H. Arai, F. Ogihara, Y. Oguchi,, M. Miyazaki
Organizer
Woo, J.H., Lew, H.C., Park, K.S. & Seo, D.Y.(Eds.), Proceedings of the 31^<st> Conference of the International Group for the Psychology of Mathematics Education
Related Report
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[Presentation] Development of web environment for lower secondary school mathematics teachers with 3D dynamic geometry software
Author(s)
Miyazaki, M., Arai, H., Chino, K., Ogihara, F., Oguchi, Y., Morozumi, T
Organizer
In Novotna,, J., Moraova, H., Kratka,, M., & Stehlikova, N.(Eds.). Proceedings 30th Conference of the, International Group for the Psychology of Mathematics Education
Place of Presentation
Prague : PME
Related Report
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