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Development of representation model for improvement in quality of mathematics learning

Research Project

Project/Area Number 24531136
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 InstitutionNaruto University of Education

Principal Investigator

AKITA Miyo  鳴門教育大学, 大学院学校教育研究科, 教授 (80359918)

Co-Investigator(Kenkyū-buntansha) SAITO Noboru  立正大学, 社会福祉学部, 教授 (60221256)
Project Period (FY) 2012-04-01 – 2015-03-31
Project Status Completed (Fiscal Year 2014)
Budget Amount *help
¥5,200,000 (Direct Cost: ¥4,000,000、Indirect Cost: ¥1,200,000)
Fiscal Year 2014: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2013: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2012: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Keywords各教科の教育 / 算数・数学 / 創造的問題解決力 / 授業モデル / 教師教育
Outline of Final Research Achievements

In the lesson of the present school mathematics, students’creation is hardly used. The purpose of this study is to show how students can enhance mathematical creativity.In mathematics, we translate the realistic object into the object as model. A model is a representation of the essential aspects of a real object. This will allow us to use all the results that someone proved. It is important that to find out the representation of the essential aspects from the realistic object for addressing the object as model.
“Representation Model in Mathematics learning”was developed to heighten students' ability to apply knowledge and skills which they have learn. This new representational model is useful in order to deepen a student's understanding.

Report

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

    (18 results)

All 2015 2014 2013 2012 Other

All Journal Article (6 results) (of which Peer Reviewed: 6 results) Presentation (10 results) Book (2 results)

  • [Journal Article] 創造的な問題解決における関係の表象の役割2014

    • Author(s)
      秋田美代、齋藤昇
    • Journal Title

      数学教育学会誌

      Volume: Vol.54 No3・4 Pages: 107-115

    • NAID

      130007834168

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 数学の活用力を高める指導についての研究-関係の表象を中心として-2014

    • Author(s)
      眞渕綾希、秋田美代
    • Journal Title

      数学教育学会誌

      Volume: Vol.54 No3・4 Pages: 117-126

    • NAID

      130007834166

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Teaching for Creative Thinking: Try to Improve the Level of Understanding about Mathematics2013

    • Author(s)
      Noboru Saito, Miyo Akita
    • Journal Title

      The 6th East Asia Regional on Mathematics Education

      Volume: Vol.2 Pages: 329-338

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Instructional Method for Developing Students’ Mathematics Creativity2013

    • Author(s)
      Miyo Akita, Noboru Saito
    • Journal Title

      The 6th East Asia Regional on Mathematics Education

      Volume: Vol.3 Pages: 127-135

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Development of Teaching Materials to Improve Students' Mathematecs Creativity2012

    • Author(s)
      Noboru Saito, Boo Yoon Kim, Miyo Akita
    • Journal Title

      The International Group for Mathematical Creativity and Giftedness Proceedings

      Volume: 1 Pages: 46-57

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] 数学教育における内容の理解と問題を解決する力の関係に関する研究2012

    • Author(s)
      秋田美代
    • Journal Title

      International Confarence of Mathematics Education Between Japan and China Proceeding 2012

      Volume: 1 Pages: 48-51

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Presentation] 算数・数学に対する自律性の育成に関する研究2015

    • Author(s)
      秋田美代
    • Organizer
      全国数学教育学会第41回研究発表会
    • Place of Presentation
      広島大学(広島県東広島市)
    • Year and Date
      2015-02-01
    • Related Report
      2014 Annual Research Report
  • [Presentation] 教科内容学から分析する教科専門と教科教育の役割2014

    • Author(s)
      秋田美代
    • Organizer
      日本教科内容学会第1回研究大会
    • Place of Presentation
      鳴門教育大学(徳島県鳴門市)
    • Year and Date
      2014-05-04
    • Related Report
      2014 Annual Research Report
  • [Presentation] 解法の背景にある数学の理解を促進する指導についての研究

    • Author(s)
      秋田美代,齋藤昇
    • Organizer
      日本教育実践学会第16回研究大会
    • Place of Presentation
      岡山大学(岡山県岡山市)
    • Related Report
      2013 Research-status Report
  • [Presentation] 式の意味についての理解を深める指導について

    • Author(s)
      眞渕綾希,秋田美代
    • Organizer
      日本教育実践学会第16回研究大会
    • Place of Presentation
      岡山大学(岡山県岡山市)
    • Related Report
      2013 Research-status Report
  • [Presentation] 数学教育における創造的問題解決力-生徒の理解の仕方を中心として-

    • Author(s)
      秋田美代,齋藤昇
    • Organizer
      2013年度数学教育学会秋季例会
    • Place of Presentation
      愛媛大学(愛媛県松山市)
    • Related Report
      2013 Research-status Report
  • [Presentation] Study on Cultivation of Creativity in Mathematics Education: Overcoming of Inhibitory Factor of Flexible Idea

    • Author(s)
      Miyo Akita, Noboru Saito
    • Organizer
      37th Conference of the International Group for the Psychology of Mathematics Education (PME 37)
    • Place of Presentation
      Kiel University(Kiel, Germany)
    • Related Report
      2013 Research-status Report
  • [Presentation] Development of Teaching Materials to improve Students' Mathematical Creativity

    • Author(s)
      Noboru Saito, Boo Yoon Kim, Miyo Akita
    • Organizer
      The 7th Internathonal Group for Mathemathical Creativity and Giftedness
    • Place of Presentation
      Korea Science Academy of KAIST(Busan,Korea)
    • Related Report
      2012 Research-status Report
  • [Presentation] 開発途上国の数学科教員の資質能力の向上に関する研究-教材の背景にある数学を理解する力を題材として-

    • Author(s)
      秋田美代,齋藤昇
    • Organizer
      日本教育実践学会第15回研究大会
    • Place of Presentation
      兵庫教育大学神戸サテライト(兵庫県)
    • Related Report
      2012 Research-status Report
  • [Presentation] 開発途上国の理数科教員の資質能力の向上に関する研究-ラオス教員養成大学大学院設置に向けて-

    • Author(s)
      齋藤昇,秋田美代
    • Organizer
      日本教育実践学会第15回研究大会
    • Place of Presentation
      兵庫教育大学神戸サテライト(兵庫県)
    • Related Report
      2012 Research-status Report
  • [Presentation] 数学教育における内容の理解と問題を解決する力の関係に関する研究

    • Author(s)
      秋田美代
    • Organizer
      International Conference on Mathematics Education between Japan and Cina 2012
    • Place of Presentation
      佛教大学(京都府)
    • Related Report
      2012 Research-status Report
  • [Book] 授業に役立つ算数教科書の数学的背景2013

    • Author(s)
      齋藤昇・小原豊編著
    • Total Pages
      160
    • Publisher
      東洋館出版社
    • Related Report
      2013 Research-status Report
  • [Book] 子どもの学力を高める新しい算数科教育法2013

    • Author(s)
      齋藤昇・秋田美代・小原豊(編著)
    • Total Pages
      143
    • Publisher
      東洋館出版社
    • Related Report
      2012 Research-status Report

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

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