A Study on Teaching Geometry with an Emphasis on Learning Process to discover the property and then prove it
| Project/Area Number |
22530961
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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 | Shizuoka University |
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Principal Investigator |
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| Co-Investigator(Kenkyū-buntansha) |
KUMAKURA Hiroyuki 静岡大学, 教育学部, 教授 (00377706)
NAKAMURA Takashi 山梨大学, 教育人間科学部, 教授 (70303394)
OTA Haruto 静岡大学, 教育学部, 教授 (40126769)
YAMADA Kozo 静岡大学, 教育学部, 教授 (00200717)
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| Research Collaborator |
KEITH Johns サウザンプトン大学, 教育学研究科, 教授
FUJITA Taro プリマス大学, 教育学部, 講師
MATSUMOTO Shinichiro 静岡大学, 教育学部, 准教授 (40447660)
KONDO Yutaka 奈良教育大学, 教育学部, 准教授 (80551035)
HAYAKAWA Ken 山梨大学, 教育人間科学部, 准教授 (40585387)
HATTA Hiroe 渋谷教育学園幕張中, 高等学校, 教諭
HARA Kinji 静岡県浜松市立城北小学校, 教諭
OHOHTA Ikumi 静岡県藤枝市立青島中学校, 教諭
KONDO Masao 静岡県磐田市立城山中学校, 教諭
SAKAMOTO Kenji 静岡県牧之原市立相良中学校, 教諭
SASASE Daisuke 静岡県掛川市立桜が丘中学校, 教諭
MOCHIZUKI Miki 山梨県甲府市立北中学校, 教諭
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| Project Period (FY) |
2010 – 2012
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| Project Status |
Completed (Fiscal Year 2012)
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| Budget Amount *help |
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2011: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2010: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
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| Keywords | 数学教育 / 幾何教育 / 証明 / 授業 / 幾何学 |
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| Research Abstract |
We researched the characteristics of students’ understanding about mathematical proof and proving based on literature and lessons in lower secondary schools. We indicated it is important for the students to learn geometry through the process to discover the property and then prove it, and have made many lesson plans that students learn through these processes. Moreover, cooperated with researchers in UK, we identified focus on issues of mathematical definitions, mathematical representations , and the form of instruction used by teachers.
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Report
(4 results)
Research Products
(30 results)
