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Curriculum Development of Mathematical Proof to Cultivate Democratic Dispositions in Junior High Schcool Mathematics

Research Project

Project/Area Number 16530575
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Education on school subjects and activities
Research InstitutionShinshu University

Principal Investigator

IWANAGA Yasuo  Shinshu University, Faculty of Education, Professor (80015825)

Co-Investigator(Kenkyū-buntansha) MIYAZAKI Mikio  Shinshu University, Faculty of Education, Associate Professor (10261760)
Project Period (FY) 2004 – 2007
Project Status Completed (Fiscal Year 2007)
Budget Amount *help
¥3,210,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥210,000)
Fiscal Year 2007: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2006: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 2005: ¥900,000 (Direct Cost: ¥900,000)
Fiscal Year 2004: ¥800,000 (Direct Cost: ¥800,000)
KeywordsJunior high school / Democratic Basics / Mathematics / Mathematical Proof / 民主的資質
Research Abstract

The aims of research are to develop new curriculum of mathematical proof to cultivate democratic dispositions, and to verify the validity of teaching and learning along with the curriculum. Main results of research are followings.
● Establishing theoretical framework to develop new curriculum of mathematical proof which cultivates democratic dispositions
Through connecting the levels of understanding definition in mathematics education (Level 0: Figural properties, Level 1: definition of figures, Level 2: absolute attributes of definitions, Level 3: relative attributes of definitions) with the levels of understanding social norms as democratic dispositions (Level 0: pre-norms, Level I: norms, Level II: absolute attributes of norms, Level III: Relative attributes of norms) theoretical framework to develop new curriculum of mathematical proof could be established.
● Developing curriculum with the established framework and verifying the validity of it Along with the established framework new curriculum connecting the unit "plane geometry" in mathematics education with the unit "social norms" in moral education could be developed. For 8th graders of public junior high school the curriculum was put into practice, and the effectiveness and limitation could be identified。

Report

(5 results)
  • 2007 Annual Research Report   Final Research Report Summary
  • 2006 Annual Research Report
  • 2005 Annual Research Report
  • 2004 Annual Research Report
  • Research Products

    (12 results)

All 2007 2006 2005 2004

All Journal Article (7 results) Presentation (5 results)

  • [Journal Article] 学校数学における証明に関する研究:証明の学習の諸相に着目して2007

    • Author(s)
      宮崎樹夫
    • Journal Title

      第40回日本数学教育学会論文発表会論文集

      Pages: 649-654

    • NAID

      110007173527

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Annual Research Report 2007 Final Research Report Summary
  • [Journal Article] 中学校数学の論証における定義の理解に関する研究:非数学的場面へのつながりに着目をして2007

    • Author(s)
      岡田憲和
    • Journal Title

      第40回日本数学教育学会論文発表会論文集

      Pages: 697-702

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Annual Research Report 2007 Final Research Report Summary
  • [Journal Article] Proof in school mathematics : focusing on the aspects of the learning of proof2007

    • Author(s)
      Mikio, Miyazaki
    • Journal Title

      Articles of Annual Conference of Mathematics Education (Japan Society of Mathematical Education)

      Pages: 649-654

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Definition understanding in mathematical proof of junior high school2007

    • Author(s)
      Hirokazu, Okada
    • Journal Title

      Articles of Annual Conference of Mathematics Education (Japan Society of Mathematical Education)

      Pages: 697-702

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] 学校数学における証明に関する研究 : 対象として証明を認識することの諸相に着目して2006

    • Author(s)
      宮崎樹夫
    • Journal Title

      日本数学教育学会 第39回数学教育論文発表会論文集 39

      Pages: 832-833

    • Related Report
      2006 Annual Research Report
  • [Journal Article] 中学校数学における証明の学習活動に論証に関する研究:証明の諸特性と子供の営みに基づく,諸活動の分類枠組みの設定2005

    • Author(s)
      宮崎樹夫
    • Journal Title

      日本数学教育学会 第38回数学教育論文発表会論文集

      Pages: 493-498

    • Related Report
      2005 Annual Research Report
  • [Journal Article] 中学校数学図形領域における論証に関する研究:命題の局所的組織と現実の関係についての子どもの認識状態の設定2004

    • Author(s)
      宮崎樹夫
    • Journal Title

      日本数学教育学会 第37回数学教育論文発表会論文集

      Pages: 457-462

    • Related Report
      2004 Annual Research Report
  • [Presentation] 中学校数学の論証における定義の理解に関する研究:非数学的場面へのつながりに着目をして2007

    • Author(s)
      岡田憲和
    • Organizer
      第40回日本数学教育学会論文発表会
    • Place of Presentation
      東京理科大学(町田)
    • Year and Date
      2007-11-04
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] 学校数学における証明に関する研究:証明の学習の諸相に着目して2007

    • Author(s)
      宮崎樹夫
    • Organizer
      日本数学教育学会 第40回数学教育論文発表会
    • Place of Presentation
      東京理科大学(町田)
    • Year and Date
      2007-11-04
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Proof in school mathematics : focusing on the aspects of the learning of proof2007

    • Author(s)
      Mikio, Miyazaki
    • Organizer
      Annual Conference of Mathematics Education (Japan Society of Mathematical Education)
    • Place of Presentation
      Machida(Tokyo)
    • Year and Date
      2007-11-04
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Definition understanding in mathematical proof of junior high school2007

    • Author(s)
      Hirokazu, Okada
    • Organizer
      Annual Conference of Mathematics Education (Japan Society of Mathematical Education)
    • Place of Presentation
      Machida(Tokyo)
    • Year and Date
      2007-11-04
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] 中学校数学の論証における定義の理解に関する研究:非数学的揚面へのつながりに着目をして2007

    • Author(s)
      岡田憲和
    • Organizer
      第40回日本数学教育学会論文発表会
    • Place of Presentation
      東京理科大学(町田)
    • Related Report
      2007 Annual Research Report

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Published: 2004-04-01   Modified: 2016-04-21  

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