2015 Fiscal Year Final Research Report
A fundamental study on teaching through problem solving with looking back and modification of solvers' representations
| Project/Area Number |
25381184
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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 | Aichi University of Education |
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Principal Investigator |
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| Co-Investigator(Renkei-kenkyūsha) |
SHIMIZU Norihiro 福岡教育大学, 教育学部, 教授 (50284451)
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| Research Collaborator |
KATANO Keiko
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| Project Period (FY) |
2013-04-01 – 2016-03-31
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| Keywords | 問題解決 / 振り返り / 表現 |
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| Outline of Final Research Achievements |
The aim of this study is to investigate how problem solvers construct, modify, and refine their mathematical representation during the teaching through problem solving with looking-back activities.
The results are as follows: firstly, reviewing precedent studies, the tendency of the early introduction of conventional representations in Japan and two teaching approaches derived from two functions of abstraction of representation were pointed out; secondly, focusing on the teaching of calculation in elementary first grade, the process that children's informal-operative representations shift to relational-static ones through looking-back activities was observed in a classroom, and several difficulties of the representational shift were pointed out; thirdly, analyzing a series of classes for improving mathematical explanation, three promising activities for constructing, modifying, and refining children's mathematical representation through looking-back activities were pointed out.
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| Free Research Field |
数学教育学
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