2018 Fiscal Year Final Research Report
Evaluation system of mathematics lesson to develop mathematics process
| Project/Area Number |
15K04411
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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 | Tokyo Gakugei University |
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Principal Investigator |
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| Project Period (FY) |
2015-04-01 – 2019-03-31
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| Keywords | 数学的プロセス / 授業 / 評価 |
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| Outline of Final Research Achievements |
The purpose of research is to develop framework for analyzing and evaluating mathematics process in mathematics classroom.
Mathematical object is fundamental concept to analyze mathematics process in interaction between a teacher and students. We can identify mathematics process to analyze process which mathematical object is constructing through interaction between a teacher and students. Another concept to analyze mathematical process is novelty and mathematical foundation. The framework for analyzing mathematics process consists of mathematical object and novelty and mathematical foundation. In order to conduct qualitative research, we develop new mathematical materials to realize mathematical process in mathematics lessons.
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| Free Research Field |
数学教育学
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| Academic Significance and Societal Importance of the Research Achievements |
我が国では，数学的な考え方という数学的プロセスのひとつが数学教育の目標として長い間設定されてきた．そして数学的プロセスと数学的内容の教授・学習がどのようにかかわっているかを明らかにすることが教育的な研究課題であった．これまで授業において数学的プロセスを実証的に捉える研究はほとんどなされてこなかったが，数学的対象の構成プロセスとそこでの推論の質を評価することで数学的プロセスを授業で捉えることが可能となった．これにより上記の課題についての研究を進める端緒ができた．また，数学的プロセスを教授・学習をする授業の改善もこの研究から示唆される．
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