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Theoretical and empirical study on revisions of students' false ideas in elementary mathematics education.

Research Project

Project/Area Number 24531138
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 InstitutionKagawa University

Principal Investigator

HASEGAWA Junichi  香川大学, 教育学部, 教授 (90172890)

Project Period (FY) 2012-04-01 – 2015-03-31
Project Status Completed (Fiscal Year 2014)
Budget Amount *help
¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2014: ¥390,000 (Direct Cost: ¥300,000、Indirect Cost: ¥90,000)
Fiscal Year 2013: ¥390,000 (Direct Cost: ¥300,000、Indirect Cost: ¥90,000)
Fiscal Year 2012: ¥390,000 (Direct Cost: ¥300,000、Indirect Cost: ¥90,000)
Keywords三角形・四角形 / 面積・周長 / 量分数 / 誤判断 / 算数教育 / 面積と周長 / 誤概念 / 小学校算数科 / 誤概念の修正 / 面積 / 基礎的図形概念
Outline of Final Research Achievements

Two categories of concepts, triangles and quadrilaterals, and fractions, are analyzed respectively, with focusing mainly on students' misconceptions, manipulatives and drawnings. The verbal explanations of triangles, quadrilaterals, and fractions are written in mathematics textbooks, however, these do not function as the criteria of mathematical decisions students make. Then adequate drawings and manipulatives are needed to support students' suitable understanding of concepts and ideas. For example, learning of mixed numbers, positioning of fractions on a number line can prompt adequate understanding of fractions. This suggests that the well-suited drawings can make students understand the meaning and significance of mathematical concepts and ideas.

Report

(4 results)
  • 2014 Annual Research Report   Final Research Report ( PDF )
  • 2013 Research-status Report
  • 2012 Research-status Report
  • Research Products

    (3 results)

All 2014 2013 Other

All Journal Article (2 results) Presentation (1 results) (of which Invited: 1 results)

  • [Journal Article] 面積に関する基礎的概念について(2)-小学校第1~5学年の児童を対象とした調査とその結果-2014

    • Author(s)
      長谷川順一・吉川雄基
    • Journal Title

      香川大学教育実践総合研究

      Volume: 28 Pages: 35-44

    • Related Report
      2013 Research-status Report
  • [Journal Article] 面積に関する基礎的概念について(1)-小学校第4学年の児童を中心とした調査とその結果-2013

    • Author(s)
      長谷川順一・吉川雄基
    • Journal Title

      香川大学教育実践総合研究

      Volume: 27 Pages: 25-35

    • Related Report
      2013 Research-status Report
  • [Presentation] 算数・数学科における授業の課題を問う

    • Author(s)
      長谷川順一
    • Organizer
      日本教育方法学会第48回大会・課題研究II
    • Place of Presentation
      福井大学
    • Related Report
      2012 Research-status Report
    • Invited

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Published: 2013-05-31   Modified: 2019-07-29  

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