Semiotic research of transition from arithmetic to algebra based on algebraic reasoning
| Project/Area Number |
24730744
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
Education on school subjects and activities
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| Research Institution | Kagoshima University |
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Principal Investigator |
WADA Shinya 鹿児島大学, 教育学部, 准教授 (60372471)
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| Project Period (FY) |
2012-04-01 – 2015-03-31
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| Project Status |
Completed (Fiscal Year 2014)
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| Budget Amount *help |
¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Fiscal Year 2014: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2013: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
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| Keywords | 数学教育学 / 算数から数学への移行 / 代数的推論 / 記号論 / 算数と数学の接続 |
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| Outline of Final Research Achievements |
The purpose of this research is to identify the transition processes from arithmetic to algebra through the development of teaching materials and teaching experiment of the teaching materials, from the viewpoint of algebraic reasoning and semiotics.
As a result, we got the following findings. Firstly, we reconsidered the definition of algebraic reasoning from the viewpoint of diagrammatic reasoning. Secondly, we identified the aspects of algebraic reasoning and of shift from syntactic recognition to semantic recognition, through the teaching experiment in second grade. Finally, we identified the aspects of recognition of mutual relationships between multiplication and division, through the teaching experiment in third grade.
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Report
(4 results)
Research Products
(9 results)
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[Presentation] 除法の導入に関する一考察2015
Author(s)
和田信哉
Organizer
九州数学教育学研究学習会
Place of Presentation
福岡教育大学（福岡県，宗像市）
Year and Date
2015-03-29 – 2015-03-30
Related Report
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