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Role of "worm's eye view thinking" and "bird's eye thinking" in the learning process of junior high school mathematics, and its application

Research Project

Project/Area Number 15K13234
Research Category

Grant-in-Aid for Challenging Exploratory Research

Allocation TypeMulti-year Fund
Research Field Education on school subjects and activities
Research InstitutionUniversity of Fukui (2017)
The Institute of Statistical Mathematics (2016)
Kagawa University (2015)

Principal Investigator

KAZAMA Kimie  福井大学, 学術研究院教育・人文社会系部門(教員養成), 特命教授 (00552374)

Co-Investigator(Kenkyū-buntansha) 橋本 是浩  大阪教育大学, 教育学部, 教授 (00030479)
佐竹 郁夫  香川大学, 教育学部, 准教授 (80243161)
Research Collaborator IBARAGI Satoshi  大阪教育大学, 附属中学校, 教諭
HORI Takahiro  東京都立富士高等学校, 附属中学校, 主幹教諭
Project Period (FY) 2015-04-01 – 2018-03-31
Project Status Completed (Fiscal Year 2017)
Budget Amount *help
¥3,380,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥780,000)
Fiscal Year 2017: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2016: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Keywords授業改善 / 教材開発 / 大局的な視点 / 順序思考 / 俯瞰思考 / 数学的な見方や考え方
Outline of Final Research Achievements

We take two viewpoints of "worm's eye view thinking" and "bird's eye view thinking" to make improvement measures of middle school mathematics teaching guidance by using the two viewpoints, and this research has the following two aims. (Ⅰ) Systematic analysis of mathematical guidance from the two viewpoints, and our teaching suggestion by its analysis. (Ⅱ)Students' acceptance of the two viewpoints, and development of mathematics teaching materials for it.
The research was conducted in the order of 1 to 6. 1.Reference research on mathematics education and psychological / special support 2.Classification of the two viewpoints on mathematical learning contents, and discussion on the systematical ordering 3.Making of survey questionnaires on the two viewpoints in mathematics, and these implementation and analysis 4.Teaching material development  5.Teaching practice 6. Validity of the teaching material development and summary

Report

(4 results)
  • 2017 Annual Research Report   Final Research Report ( PDF )
  • 2016 Research-status Report
  • 2015 Research-status Report
  • Research Products

    (11 results)

All 2018 2017 2016

All Journal Article (6 results) (of which Peer Reviewed: 5 results,  Acknowledgement Compliant: 1 results) Presentation (5 results)

  • [Journal Article] 中学生生徒の数学との様々な向き合い方2018

    • Author(s)
      佐竹郁夫・渡辺宏司・大西光宏・大前和弘・筒井智雅
    • Journal Title

      香川大学教育実践総合研究

      Volume: 36 Pages: 41-46

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 視点「順序思考」・「俯瞰思考」からの授業の改善-中学校の三角形の面積指導-2017

    • Author(s)
      風間喜美江
    • Journal Title

      第50回秋期研究大会発表収録(日本数学教育学会)

      Volume: 50 Pages: 51-54

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] FROBENIUS STRUCTURES AND CHARACTERS OF AFFINE LIE ALGEBRAS2017

    • Author(s)
      IKUO SATAKE
    • Journal Title

      Osaka Journal of Mathematics

      Volume: 2017 Pages: 1-35

    • NAID

      120006550529

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 「中学校数学科における順序思考・俯瞰思考の役割」2016

    • Author(s)
      佐竹郁夫,香川大学教育学部附属坂出中数学科
    • Journal Title

      香川大学教育学部・附属教育実践センターニュース

      Volume: 1 Pages: 2-2

    • Related Report
      2016 Research-status Report
  • [Journal Article] 数学科授業研究における順序思考・俯瞰思考の役割2016

    • Author(s)
      佐竹郁夫,大前和弘,大西光宏,風間喜美江
    • Journal Title

      香川大学教育実践総合研究

      Volume: 33 Pages: 113-123

    • Related Report
      2016 Research-status Report
    • Peer Reviewed
  • [Journal Article] 視点「順序思考」・「俯瞰思考」からの指導法の改善2016

    • Author(s)
      風間 喜美江
    • Journal Title

      日本数学教育学会第49回秋期研究大会発表集録

      Volume: 2016 Pages: 43-46

    • NAID

      40021611976

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Presentation] 三角形の面積に関する小・中の指導の系統性―「順序思考・俯瞰思考」の視点を通してー2017

    • Author(s)
      風間 喜美江
    • Organizer
      第61回近畿数学教育学会例会発表会
    • Place of Presentation
      同志社女子大学
    • Related Report
      2016 Research-status Report
  • [Presentation] 数学科授業研究における順序思考・俯瞰思考の役割2017

    • Author(s)
      佐竹郁夫,香川大学教育学部附属坂出中数学科
    • Organizer
      第17回香川大学教育学部附属学校園教員合同研究集会
    • Place of Presentation
      香川大学教育学部
    • Related Report
      2016 Research-status Report
  • [Presentation] 視点「順序思考」・「俯瞰思考」からの指導法の改善2016

    • Author(s)
      風間 喜美江
    • Organizer
      日本数学教育学会第49回秋期研究大会
    • Place of Presentation
      弘前大学
    • Year and Date
      2016-10-27
    • Related Report
      2016 Research-status Report
  • [Presentation] 数学科授業研究における順序思考・俯瞰思考の役割2016

    • Author(s)
      佐竹郁夫,大前和弘,大西光宏,蔵本愛里
    • Organizer
      第16回香川大学教育学部・附属学校園教員合同研究集会
    • Place of Presentation
      香川大学教育学部(高松市幸町)
    • Year and Date
      2016-03-01
    • Related Report
      2015 Research-status Report
  • [Presentation] 中学校数学における生徒の「順序思考」・「俯瞰思考」の様相2016

    • Author(s)
      風間喜美江,佐竹郁夫
    • Organizer
      第59回近畿数学教育学会例会
    • Place of Presentation
      奈良教育大学教育学部(奈良市高畑町)
    • Year and Date
      2016-02-20
    • Related Report
      2015 Research-status Report

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Published: 2015-04-16   Modified: 2019-03-29  

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