2012 Fiscal Year Final Research Report
Fundamental study on lesson design on the basis of the roles of representation in mathematical problem solving
| Project/Area Number |
22530963
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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 | Aichi University of Education |
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Principal Investigator |
YAMADA Atsushi 愛知教育大学, 教育学部, 准教授 (20273823)
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| Co-Investigator(Kenkyū-buntansha) |
IWASAKI Hiroshi 上越教育大学, 学校教育研究科, 教授 (80251867)
SHIMIZU Norihiro 福岡教育大学, 教育学部, 教授 (50284451)
OKAZAKI Masakazu 岡山大学, 教育学研究科, 准教授 (40303193)
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| Project Period (FY) |
2010 – 2012
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| Keywords | 数学的問題解決 / 表現 / 授業デザイン |
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| Research Abstract |
The aims of this study was to clarify the patterns of construction/transformation of (problem) representation in mathematical problem solving, to investigate its roles in progress of problem-solving process, and to consider the methodology of lesson design on the basis of the roles. The main results were to identify five types of wide-purpose representations for mathematical problem solving, to investigate three constructional/transformational patterns of problem representation in mathematical problem solving (i.e.; construction/reconstruction, abstraction/concretization, shift), and to analyze the concrete roles of “abstraction/concretization” process of problem representation.Furthermore, a methodology of lesson design on the basis of the roles of abstraction process was considered.
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