2023 Fiscal Year Final Research Report
Theoretical and empirical research on methods to promote recall and evaluation of base analog in analogy
| Project/Area Number |
20K02828
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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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| Review Section |
Basic Section 09040:Education on school subjects and primary/secondary education-related
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| Research Institution | Tokyo University of Science (2023)
Oita University (2020-2022) |
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Principal Investigator |
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| Project Period (FY) |
2020-04-01 – 2024-03-31
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| Keywords | 類推 / 想起 / 評価 |
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| Outline of Final Research Achievements |
We theoretically and empirically derived methods to facilitate base recall and evaluation in analogies. We analyzed the writings of mathematicians Polya and Euler to derive methods for evaluating their analogies. We then taught the derived methods and investigated how students used them in classroom practice with students in public junior high schools. The results showed that the students used the method to evaluate their analogies, and the validity of the derived method was clarified.
The method of evaluation was to examine whether a base-to-target mapping relationship was valid for multiple objects around the target. The result of this study is that we were able to derive a method that can be used by junior high school students from a method used by mathematicians.
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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 |
本研究の最も大きな成果はベースを評価する方法を導出できたことである。
本研究では中学生を対象とした検証が中心であったけれども、導出した方法は小学校から大学までの数学の授業でも活用できる可能性が高い。また、認知科学ではベースの想起、評価に関する研究では理科を題材とすることが多いため、認知科学の知見の適用範囲を数学にまで広げた点でも意義がある。
また，学校現場では問題を発見、解決することはよく行われているけれども，その評価は教師が行っていることがほとんどである。そのため、生徒が自らの類推を評価する方法を学校現場に提示できたことは数学科の授業の在り方を大きく変える可能性もある。
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