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Developmental research for the awaken of cultural perspective in mathematics

Research Project

Project/Area Number 14380055
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field Science education
Research InstitutionUniversity of Tsukuba

Principal Investigator

ISODA Masami  University of Tsukuba, Graduate School of Human Comprehensive Sciences, Associate Professor, 大学院・人間総合科学研究科, 助教授 (70212967)

Co-Investigator(Kenkyū-buntansha) SHIMIZU Shizumi  University of Tsukuba, Graduate School of Human Comprehensive Sciences, Associate Professor, 大学院・人間総合科学研究科, 助教授 (20115661)
WATANABE Kimio  University of Tsukuba, Graduate School of Pure and Applied Sciences, Professor, 大学院・数理物質科学研究科, 教授 (50015913)
TANAKA Jiro  University of Tsukuba, Graduate School of System and Information Engineering, Professor, 大学院・システム情報工学研究科, 教授 (20251043)
OKUBO Kazuyoshi  Hokkaido University of Education at Sapporo, Faculty of Education, Professor, 教育学部札幌校, 教授 (80113661)
Project Period (FY) 2002 – 2004
Project Status Completed (Fiscal Year 2004)
Budget Amount *help
¥5,100,000 (Direct Cost: ¥5,100,000)
Fiscal Year 2004: ¥1,500,000 (Direct Cost: ¥1,500,000)
Fiscal Year 2003: ¥1,900,000 (Direct Cost: ¥1,900,000)
Fiscal Year 2002: ¥1,700,000 (Direct Cost: ¥1,700,000)
Keywordsmathematics / curriculum / history of mathematics / tools / hermeneutics / perspective in mathematics / Understanding / teaching materials / マルチメディア / 原典 / 文化 / 授業研究 / 教材開発 / 動画 / デカルト / 比較文化 / インターネット / コミュニケーション / 作図ツール / アポロニウス / パピルス
Research Abstract

According to the original plan in three years for awaken of the cultural perspectives in mathematics, 40 examples for subjects matter to teach mathematic as a part of human cultural work have been developed. 30 articles have been reported at the annual academic meeting and researchers have been invited as plenary speakers or keynote speakers at several international conferences. All of results can be seen on the web site.
Students tried to understand the mathematics in original (an English translation or Japanese translation) text. When students are trying to understand it, the position of the writer (partner or speaker) and the reason why he/she descried were presumed. Students had compared historical mathematics with their leaned mathematics. They tried to confirm their presumed understanding is reasonable or not. These activities are known and called as the hermeneutic activity. This activity brings students cultural perspectives of mathematics.
Each example has been demonstrated in classrooms for awakening cultural perspective in mathematics and illustrated how students recognized mathematics as a part of culture that had developed through human activity.
Examples in last two years used historical tools and mechanics for mathematics.
All of examples could be thought in three lesson hours. They aimed to teach mathematics as a part of human activity but did not aim to teach mathematics itself. In each example, students re-understand their known mathematics comparing with historical mathematics by the method of hermeneutics.

Report

(4 results)
  • 2004 Annual Research Report   Final Research Report Summary
  • 2003 Annual Research Report
  • 2002 Annual Research Report
  • Research Products

    (27 results)

All 2005 2004 2003 Other

All Journal Article (12 results) Book (3 results) Publications (12 results)

  • [Journal Article] Mathematics Activity as a Human Endeavor Project : Exploring Secondary School Mathematics via Historical and Innovative Tools.2004

    • Author(s)
      ISODA, Masami
    • Journal Title

      Proceedings of ICME 10 - Topic Study Group 2, Denmark (Edited by Dirk De Bock, Masami Isoda)

      Pages: 127-133

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Mathematics Activity as a Human Endeavor Project : Exploring Secondary School Mathematics via Historical and Innovative Tools2004

    • Author(s)
      Masami ISODA
    • Journal Title

      Proceedings of ICME10-TOPIC STUDY GROUP 2(Edited by Dirk De Bock, Masami Isoda)Denmark

      Pages: 127-133

    • Related Report
      2004 Annual Research Report
  • [Journal Article] ピタゴラス数に関する古代数学を題材とした授業研究2004

    • Author(s)
      林亜紀子
    • Journal Title

      日本数学教育学会誌第86回総会特集号 86

      Pages: 298-298

    • Related Report
      2004 Annual Research Report
  • [Journal Article] リンク機構を教材とした数学的活動を高める授業の研究2004

    • Author(s)
      田中真紀子
    • Journal Title

      日本数学教育学会誌第86回総会特集号 86

      Pages: 332-332

    • Related Report
      2004 Annual Research Report
  • [Journal Article] 音階の作り方にみる数学2004

    • Author(s)
      蓮沼秀昭
    • Journal Title

      日本数学教育学会誌第86回総会特集号 86

      Pages: 360-360

    • Related Report
      2004 Annual Research Report
  • [Journal Article] 『測量集成』の体験的学習を通した生徒の数学観の変容2004

    • Author(s)
      丸山洋幸
    • Journal Title

      日本数学教育学会誌第86回総会特集号 86

      Pages: 415-415

    • Related Report
      2004 Annual Research Report
  • [Journal Article] 歴史的道具を用いた数学的活動による授業研究2004

    • Author(s)
      諏佐洋一
    • Journal Title

      日本数学教育学会誌第86回総会特集号 86

      Pages: 417-417

    • Related Report
      2004 Annual Research Report
  • [Journal Article] The Roles of Mediational Means for Mathematization : The Case of Mechanics and Graphing Tools.2003

    • Author(s)
      ISODA, Masami, MATSUZAKI, Akio
    • Journal Title

      Journal of Scinence Education in Japan vol.27 No.4

      Pages: 245-257

    • NAID

      110002705925

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Why We Use Mechanical Tools and Computer Software in Creative Mathematics Education : Mathematics Activity as a Human Endeavor.2003

    • Author(s)
      ISODA, Masami
    • Journal Title

      Proceedings of The Third International Conference"Creativity in Mathematics Education and the Education of Gifted Students" 3rd

      Pages: 134-141

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] The Roles of Mediational Means for Mathematization: The Case of Mechanics and Graphing Tools.2003

    • Author(s)
      ISODA, Masami., MATSUZAKI, Akio
    • Journal Title

      Journal of Science Education in Japan vol.27 No.4

      Pages: 245-257

    • NAID

      110002705925

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Why We Use Mechanical Tools and Computer Software in Creative Mathematics Education : Mathematics Activity as a Human Endeavor.2003

    • Author(s)
      ISODA, Masami
    • Journal Title

      Proceedings of The Third International Conference"Creativity in Mathematics Education and the Education of Gifted Students

      Pages: 134-141

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Mathematics Activity as a Human Endeavor Project: Exploring Secondary School Mathematics via Historical and Innovative Tools.

    • Author(s)
      Dirk De Bock, ISODA, Masami (Edited by)
    • Journal Title

      Proceedings of ICME 10 -Topic Study Group 2

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Book] 確かな学力を育てる数学科の学習指導、中学校1年編/中学校2年編/中学校3年編(3冊)2005

    • Author(s)
      礒田正美他編
    • Total Pages
      348
    • Publisher
      明治図書出版
    • Related Report
      2004 Annual Research Report
  • [Book] 生徒が自ら考えを発展する数学の研究授業(1)〜(3)2003

    • Author(s)
      礒田正美他編
    • Total Pages
      383
    • Publisher
      明治図書出版
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Book] Mathematics study lesson for developing students' thinking by themselves (1) -(3).2003

    • Author(s)
      ISODA, Masami et al. (Edited by)
    • Total Pages
      383
    • Publisher
      Meiji-Tosho Publishing
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Publications] ISODA, Masami., MATSUZAKI, Akio: "The Roles of Mediational Means for Mathematization : The Case of Mechanics and Graphing Tools"Journal of Scinence Education in Japan. Vol.27No.4. 245-257 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] ISODA, Masami: "Why We Use Mechanical Tools and Computer Software in Creative Mathematics Education : Mathematics Activity as a Human Endeavor"Proccedings of The Third International conference"Creativity in Mathematics Education and the Education of Gifted Students". 3rd. 134-141 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] ISODA, Masami: "A Global View of Curriculum Issue on Mathematics with Technology, Plenary Panel)"Proccedings of Eighth Asian Technology Conference in Mathematics. 8. 30-41 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] 礒田正美: "数学オリンピック優勝国ブルガリアの数学教育"教育科学数学教育. 11月. 99-103 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] 礒田正美: "生徒が自ら考えを発展する数学の研究授業(全3巻)"明治図書出版. 383 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] 礒田正美: "開発途上国支援数学教育教材共有化へのパースペクティブ"日本科学教育学会年会論文集. 26. 131-132 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 礒田正美: "数学史上の関数と極限の数学化過程に関する一考察"第35回数学教育論文発表会「課題別分科会」発表収録. 161-167 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] ISODA, Masami., McCRAE Bary, STACEY, Kave: "Cultural Awareness Arising from Internet Communication between Japanese and Australian Classroom"ICMI Comparative Study Conference. 23-30 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 関口光弘, 礒田正美: "古代ギリシャの代数記号の学習による生徒の数学観の変容に関する考察"日本数学教育学会誌第84回総会特集号. 297 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 阿部千里, 礒田正美: "デカルトの「幾何学」による生徒の数学観の変容-数学史原典から数学の発展を学ぶ-"日本数学教育学会誌第84回総会特集号. 360 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 中嶋俊朗, 礒田正美: "アポロニウスの円錐曲線論に基づく接線作図に関する授業開発"日本数学教育学会誌第84回総会特集号. 366 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 礒田正美, 原田耕平: "絵でみてできる数学実験"講談社サイエンティフィック(予定). 200

    • Related Report
      2002 Annual Research Report

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Published: 2002-04-01   Modified: 2016-04-21  

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