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A Research for the Development of School Mathematics Curriculum from Conceptual Change Perspective

Research Project

Project/Area Number 22830045
Research Category

Grant-in-Aid for Research Activity Start-up

Allocation TypeSingle-year Grants
Research Field Education on school subjects and activities
Research InstitutionOsaka Kyoiku University

Principal Investigator

SHINNO Yusuke  大阪教育大学, 教育学部, 講師 (10585433)

Project Period (FY) 2010 – 2011
Project Status Completed (Fiscal Year 2011)
Budget Amount *help
¥897,000 (Direct Cost: ¥690,000、Indirect Cost: ¥207,000)
Fiscal Year 2011: ¥442,000 (Direct Cost: ¥340,000、Indirect Cost: ¥102,000)
Fiscal Year 2010: ¥455,000 (Direct Cost: ¥350,000、Indirect Cost: ¥105,000)
Keywords数学教育 / 概念変容 / コンセプション / 変数性 / 算数と数学の接続 / 教授実験 / カリキュラム / 非通約性 / 学校数学
Research Abstract

There are two main findings in this research : 1) as a result of curriculum analysis from the theory of conceptual change,"conceptual change on the notion of variables" was identified as an essential situation for conceptual change ; 2) a theoretical model for "conceptual change on the notion of variables" was constructed, and then it was examined by means of designing and conducted a teaching experiment.

Report

(3 results)
  • 2011 Annual Research Report   Final Research Report ( PDF )
  • 2010 Annual Research Report
  • Research Products

    (20 results)

All 2012 2011 2010

All Journal Article (14 results) (of which Peer Reviewed: 8 results) Presentation (6 results)

  • [Journal Article] 数学教育学の「第一哲学」とは何か2012

    • Author(s)
      真野祐輔・溝口達也
    • Journal Title

      新しい算数研究

      Volume: 493 Pages: 28-29

    • Related Report
      2011 Annual Research Report
  • [Journal Article] 変数性に関する概念変容場面のデザインに向けた基礎的研究(I)2011

    • Author(s)
      真野祐輔
    • Journal Title

      全国数学教育学会誌『数学教育学研究』

      Volume: Vol.17(2) Pages: 13-24

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] 数学学習における概念変容を捉える過程モデルの操作性に関する一考察2011

    • Author(s)
      真野祐輔
    • Journal Title

      日本数学教育学会『第44回数学教育論文発表会論文集』

      Volume: 第1巻 Pages: 597-602

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] 数学教育における数学史の活用の方法論2011

    • Author(s)
      真野祐輔
    • Journal Title

      大阪教育大学数学教室『数学教育研究』

      Volume: 第40号 Pages: 59-69

    • Related Report
      2011 Final Research Report
  • [Journal Article] 変数性に関する概念変容の数学史的背景2011

    • Author(s)
      真野祐輔
    • Journal Title

      大阪教育大学数学教室『数学教育研究』

      Volume: 第40号 Pages: 71-87

    • Related Report
      2011 Final Research Report
  • [Journal Article] 変数性に関する概念変容場面のデザインに向けた基礎研究(I)2011

    • Author(s)
      真野祐輔
    • Journal Title

      数学教育学研究

      Volume: 17 Pages: 13-24

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 数学学習における概念変容を捉える過程モデルの操作性に関する一考察2011

    • Author(s)
      真野祐輔
    • Journal Title

      第44回数学教育論文発表会論文集

      Volume: 1 Pages: 597-602

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 数学教育における数学史の活用の方法論2011

    • Author(s)
      真野祐輔
    • Journal Title

      数学教育研究(大阪教育大学数学教室)

      Volume: 40 Pages: 59-69

    • Related Report
      2011 Annual Research Report
  • [Journal Article] 変数性に関する概念変容の数学史的背景2011

    • Author(s)
      真野祐輔
    • Journal Title

      数学教育研究(大阪教育大学数学教室)

      Volume: 40 Pages: 71-87

    • Related Report
      2011 Annual Research Report
  • [Journal Article] わが国における「算数」と「数学」の接続に関する研究状況2011

    • Author(s)
      真野祐輔
    • Journal Title

      大阪数学教育会会誌

      Volume: 35 Pages: 48-53

    • Related Report
      2011 Annual Research Report
  • [Journal Article] Identifying conceptual change situations in mathematics curricular content : on the development from rational to real numbers2010

    • Author(s)
      Yusuke Shinno
    • Journal Title

      In Proceedings of the 5th East Asia Regional Conference on Mathematics Education

      Volume: Vol.2 Pages: 622-629

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] 変数性に関する概念変容を捉える枠組みの設定2010

    • Author(s)
      真野祐輔
    • Journal Title

      日本数学教育学会『第43回数学教育論文発表会論文集』

      Volume: 第2巻 Pages: 627-632

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Identifying conceptual change situations in mathematics curricular content : on the development from rational to real numbers2010

    • Author(s)
      Yusuke Shinno
    • Journal Title

      Proceedings of the 5th East Asia Regional Conference on Mathematics Education

      Volume: 2 Pages: 622-629

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 変数性に関する概念変容を捉える枠組みの設定2010

    • Author(s)
      真野祐輔
    • Journal Title

      第43回数学教育論文発表会論文集

      Volume: 2 Pages: 627-632

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Presentation] 具象化理論に基づく変数性のコンセプションの変容に関する研究2012

    • Author(s)
      真野祐輔
    • Organizer
      全国数学教育学会第35回研究発表会
    • Place of Presentation
      愛知教育大学
    • Related Report
      2011 Annual Research Report 2011 Final Research Report
  • [Presentation] 変数性に関する概念変容のデザインに向けた基礎研究2011

    • Author(s)
      真野祐輔
    • Organizer
      全国数学教育学会第33回研究発表会
    • Place of Presentation
      愛媛大学
    • Related Report
      2011 Final Research Report 2010 Annual Research Report
  • [Presentation] 数学学習における「式」のコンセプションの変容に関する研究2011

    • Author(s)
      真野祐輔
    • Organizer
      全国数学教育学会第34回研究発表会
    • Place of Presentation
      広島大学
    • Related Report
      2011 Annual Research Report 2011 Final Research Report
  • [Presentation] Two routes to the reification of variable as a key to conceptual change in mathematics learning, In Ubuz, B.(ed.)2011

    • Author(s)
      Yusuke Shinno & Hideki Iwasaki
    • Organizer
      Proceedings of the 35th Conference of the International Group for the Psychology of Mathematics Education
    • Place of Presentation
      Ankara, Turkey
    • Related Report
      2011 Final Research Report
  • [Presentation] Two routes to the reification of variable as a key to conceptual change in mathematics learning2011

    • Author(s)
      Yusuke Shinno, Hideki Iwasaki
    • Organizer
      International Group for the Psychology of Mathematics Education
    • Place of Presentation
      アンカラ,トルコ
    • Related Report
      2011 Annual Research Report
  • [Presentation] 関数領域における変数性の認識に関する一考察2010

    • Author(s)
      真野祐輔
    • Organizer
      全国数学教育学会第32回研究発表会
    • Place of Presentation
      広島大学
    • Related Report
      2011 Final Research Report 2010 Annual Research Report

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Published: 2010-08-27   Modified: 2016-04-21  

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