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2016 Fiscal Year Final Research Report

Analysis of mathematical thinking in terms of interactions with a diagram in mathematics education: from the cognitive and cultural perspective

Research Project

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Project/Area Number 26381211
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Education on school subjects and activities
Research InstitutionHiroshima University

Principal Investigator

Kageyama Kazuya  広島大学, 教育学研究科, 准教授 (60432283)

Project Period (FY) 2014-04-01 – 2017-03-31
Keywords図式 / 数学的思考 / 身体化理論 / 記号論
Outline of Final Research Achievements

The purpose of this research is to understand students' mathematical thinking by supposing that it is related to constructing and using diagrams, which are inscriptions on a paper, such as figures, tables and signs, with certain rules.
Diagrams are constructed originally through bodily actions or experiences, while these include some useful ideas and are handed on to the next. This research implied that students thought mathematically by reading a pattern or law to make a hypothesis and verifying the range in which they could deal with it as a theory.

Free Research Field

数学教育

URL: 

Published: 2018-03-22  

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