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Developing a framework to analyse students' argumentative activities in the learning and teaching of proving

Research Project

Project/Area Number 24830017
Research Category

Grant-in-Aid for Research Activity Start-up

Allocation TypeSingle-year Grants
Research Field Education on school subjects and activities
Research InstitutionKeiai University (2013)
University of Tsukuba (2012)

Principal Investigator

TSUJIYAMA YOSUKE  敬愛大学, 国際学部, 講師 (10637440)

Project Period (FY) 2012-08-31 – 2014-03-31
Project Status Completed (Fiscal Year 2013)
Budget Amount *help
¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2013: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2012: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Keywords証明 / 数学教育 / 議論 / argumentation / 証明の構想 / 証明活動 / proving / 科学教育 / 教科教育学
Research Abstract

Proof and proving should be central to students' school mathematical experience. However, innumerable students have difficulties in producing a proof. The overall purpose of this study is to improve the learning and teaching for breaking through this situation. In particular, this study focuses on plausibility and probability of proving processes and aims at developing a framework to analyse students' argumentative activities in the learning and teaching of proving. By examining existing studies, conducting a teaching experiment and analysing its results, this study develops a framework and derives implications for teaching.

Report

(3 results)
  • 2013 Annual Research Report   Final Research Report ( PDF )
  • 2012 Annual Research Report
  • Research Products

    (14 results)

All 2014 2013 2012 Other

All Journal Article (8 results) (of which Peer Reviewed: 7 results,  Acknowledgement Compliant: 1 results) Presentation (6 results)

  • [Journal Article] Rethinking the discovery function of proof within the context of proofs and refutations2014

    • Author(s)
      Komatsu, K., Tsujiyama, Y., & Sakamaki, A.
    • Journal Title

      International Journal of Mathematical Education in Science and Technology

      Volume: 45(7) Issue: 7 Pages: 1053-1067

    • DOI

      10.1080/0020739x.2014.902135

    • NAID

      120007100998

    • Related Report
      2013 Annual Research Report 2013 Final Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Proof problems with diagrams : An opportunity for experiencing proofs and refutations2014

    • Author(s)
      Komatsu, K., Tsujiyama, Y., Sakamaki, A., & Koike, N
    • Journal Title

      For the Learning of Mathematics

      Volume: 34(1) Pages: 36-42

    • NAID

      120007100999

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Proof problems with diagrams: An opportunity for experiencing proofs and refutations2014

    • Author(s)
      Komatsu, K., Tsujiyama, Y., Sakamaki, A., & Koike, N.
    • Journal Title

      For the Learning of Mathematics

      Volume: 34(1) Pages: 36-42

    • NAID

      120007100999

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Principles of task design to foster proofs and refutations in mathematical learning : Proof problem with diagram2013

    • Author(s)
      Komatsu, K., & Tsujiyama, Y
    • Journal Title

      In C. Margolinas (Ed.)

      Volume: 22 Pages: 473-481

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Principles of task design to foster proofs and refutations in mathematical learning: Proof problem with diagram2013

    • Author(s)
      Komatsu, K., & Tsujiyama, Y.
    • Journal Title

      Proceedings of ICMI Study 22: Task design in mathematics education

      Volume: 1 Pages: 473-481

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 新たな学習内容を視点として既習の内容を見返すことの充実に向けて:説明・証明に焦点を当てて2013

    • Author(s)
      辻山洋介
    • Journal Title

      理数啓林

      Volume: 3 Pages: 17-18

    • Related Report
      2013 Annual Research Report
  • [Journal Article] 学校数学の証明の構成における蓋然的な論の検討の方法:argumentationを視点として2012

    • Author(s)
      辻山洋介
    • Journal Title

      日本科学教育学会誌『科学教育研究』

      Volume: 第36巻第4号 Pages: 340-355

    • NAID

      110009562072

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] 学校数学の証明の構成における蓋然的な論の検討の方法:argumentationを視点として2012

    • Author(s)
      辻山 洋介
    • Journal Title

      日本科学教育学会発行『科学教育研究』

      Volume: 第36巻第4号 Pages: 340-355

    • NAID

      110009562072

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Presentation] 中学校図形領域における課題探究として証明することの授業化:第二学年の内容『平行四辺形の性質』2014

    • Author(s)
      1辻山洋介・油井幸樹
    • Organizer
      日本数学教育学会第2回春期研究大会,創成型課題研究の部IV
    • Place of Presentation
      東京学芸大学(東京)(発表確定,発表審査有)
    • Year and Date
      2014-06-29
    • Related Report
      2013 Final Research Report
  • [Presentation] 学校数学における図が付された証明問題の可能性:ラカトシュの演繹的推量に焦点を当てて2013

    • Author(s)
      2小松孝太郎・辻山洋介・坂巻主太・小池徳男
    • Organizer
      日本科学教育学会第37回年会,分科会2G1-B1
    • Place of Presentation
      三重大学(三重)(論文集pp.256-257に掲載)
    • Year and Date
      2013-09-07
    • Related Report
      2013 Final Research Report
  • [Presentation] 課題探究として証明することのカリキュラム開発:中学校第2学年数学科の領域『数と式』及び『図形』における学習の構想2013

    • Author(s)
      3宮﨑樹夫・佐々祐之・辻山洋介
    • Organizer
      日本数学教育学会第1回春期研究大会,創成型課題研究の部A
    • Place of Presentation
      筑波大学(東京)(論文集pp.17-24に掲載)
    • Year and Date
      2013-06-30
    • Related Report
      2013 Final Research Report
  • [Presentation] 中学校図形領域における課題探究として証明することの授業化:第二学年の内容「平行四辺形の性質」

    • Author(s)
      辻山洋介・油井幸樹
    • Organizer
      日本数学教育学会 第2回春期研究大会
    • Place of Presentation
      東京学芸大学(東京)
    • Related Report
      2013 Annual Research Report
  • [Presentation] 学校数学における図が付された証明問題の可能性:ラカトシュの演繹的推量に焦点を当てて

    • Author(s)
      小松孝太郎・辻山洋介・坂巻主太・小池徳男
    • Organizer
      日本科学教育学会 第37回年会
    • Place of Presentation
      三重大学(三重)
    • Related Report
      2013 Annual Research Report
  • [Presentation] 課題探究として証明することのカリキュラム開発:中学校第二学年数学科の領域「数と式」及び「図形」における学習の構想

    • Author(s)
      宮﨑樹夫・佐々祐之・辻山洋介
    • Organizer
      日本数学教育学会 第1回春期研究大会
    • Place of Presentation
      筑波大学(東京)
    • Related Report
      2013 Annual Research Report

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Published: 2012-11-27   Modified: 2019-07-29  

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