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A Research on Theory for Mathematics Learning Based on the Dialogic Nature of Mathematics

Research Project

Project/Area Number 26780497
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Education on school subjects and activities
Research InstitutionOsaka Kyoiku University

Principal Investigator

Shinno Yusuke  大阪教育大学, 教育学部, 准教授 (10585433)

Project Period (FY) 2014-04-01 – 2018-03-31
Project Status Completed (Fiscal Year 2017)
Budget Amount *help
¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2017: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2016: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2015: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2014: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Keywords数学的ディスコース / 記号論的視点 / 社会的構成主義 / 学習理論 / 数学教育 / アーギュメンテーション / 数学的帰納法 / 記号論的連鎖 / 具象化
Outline of Final Research Achievements

The purpose of this study is to develop a new theory for mathematics learning, based on a social constructivism and a dialogic nature of mathematics. This study focuses on mathematical discourse and semiotic perspective, which allow us to analyze essential aspects of mathematical learning as a dialogic process. The main results of the study can be summarized as the following four points: 1) re-conceptualizing an existing learning theory, 2) constructing an integrated theoretical framework, 3) an empirical study on the constructed framework, 4) a contribution for networking theories.

Report

(4 results)
  • 2017 Final Research Report ( PDF )
  • 2016 Annual Research Report
  • 2015 Research-status Report
  • 2014 Research-status Report
  • Research Products

    (31 results)

All 2017 2016 2015 2014 Other

All Int'l Joint Research (1 results) Journal Article (13 results) (of which Int'l Joint Research: 1 results,  Peer Reviewed: 6 results,  Open Access: 2 results,  Acknowledgement Compliant: 2 results) Presentation (17 results) (of which Int'l Joint Research: 7 results,  Invited: 1 results)

  • [Int'l Joint Research] エクセター大学(University of Exeter)(英国)

    • Related Report
      2015 Research-status Report
  • [Journal Article] Reification in the learning of square roots in a ninth grade classroom: combining semiotic and discursive approaches2017

    • Author(s)
      Shinno, Y.
    • Journal Title

      International Journal of Science and Mathematics Education

      Volume: 印刷中 Issue: 2 Pages: 295-314

    • DOI

      10.1007/s10763-016-9765-3

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 海外の研究者との連携・共同の必要性:イギリスでの在外研究の報告を中心に2016

    • Author(s)
      真野祐輔
    • Journal Title

      日本数学教育学会誌『数学教育』

      Volume: 98(7) Pages: 16-19

    • Related Report
      2016 Annual Research Report
  • [Journal Article] 数学的活動に基づく数学的帰納法の指導の課題(2):argumentationと証明の関連性を視点として2016

    • Author(s)
      真野祐輔,熊倉啓之
    • Journal Title

      日本数学教育学会『第4回春期研究大会論文集』

      Volume: - Pages: 139-146

    • NAID

      40022277863

    • Related Report
      2016 Annual Research Report
  • [Journal Article] 数学教師を志望する大学生の有する数学的帰納法の関係的理解の困難性2016

    • Author(s)
      真野祐輔
    • Journal Title

      近畿数学教育学会誌

      Volume: 29 Pages: 19-26

    • NAID

      40021745581

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] A theoretical framework for curriculum development in the teaching of mathematical proof at the secondary school level2015

    • Author(s)
      Shinno, Y., Miyakawa, T., Iwasaki, H., Kunimune, S., Mizoguchi, T., Ishii, T., Abe, Y.
    • Journal Title

      Proceedings of 39th Psychology of Mathematics Education conference

      Volume: 4 Pages: 169-176

    • Related Report
      2015 Research-status Report
    • Peer Reviewed
  • [Journal Article] An analysis of the essential difficulties with mathematical induction: in the case of prospective teachers2015

    • Author(s)
      Shinno, Y., & Fujita, T.
    • Journal Title

      Proceedings of the British Society for Research into Learning Mathematics

      Volume: 35(3) Pages: 102-107

    • Related Report
      2015 Research-status Report
    • Open Access / Int'l Joint Research
  • [Journal Article] 数学的活動に基づく数学的帰納法の指導の課題:カリキュラム開発に向けて2015

    • Author(s)
      真野祐輔,濱中裕明
    • Journal Title

      日本数学教育学会 第3回春期研究大会論文集

      Volume: 1 Pages: 67-74

    • NAID

      40022277383

    • Related Report
      2015 Research-status Report
  • [Journal Article] 授業中の社会的相互作用を促す教師の教授行為について:小学校第3学年「分数」の授業観察を通して2015

    • Author(s)
      山本美緒,戸ケ崎晋平,真野祐輔
    • Journal Title

      大阪教育大学数学教室「数学教育研究」

      Volume: 44 Pages: 27-34

    • NAID

      40020550501

    • Related Report
      2015 Research-status Report
  • [Journal Article] Japanese Elementary School Students Math Performance: A Case of Tottori Prefecture regional “Math Diagnostic Test”2015

    • Author(s)
      Tatsuya Mizoguchi, Yusuke Shinno
    • Journal Title

      Totter Journal for Research in Mathematics Education

      Volume: 18(1) Pages: 1-10

    • Related Report
      2015 Research-status Report
    • Open Access
  • [Journal Article] 中等教育を一貫する数学的活動に基づく論証指導の理論的基盤:カリキュラム開発に向けた枠組みの設定2015

    • Author(s)
      宮川健・真野祐輔・岩崎秀樹・國宗進・溝口達也・石井英真・阿部好貴
    • Journal Title

      数学教育学研究

      Volume: 21(1) Pages: 63-73

    • NAID

      130007580562

    • Related Report
      2014 Research-status Report
    • Peer Reviewed
  • [Journal Article] 無理数の学習指導における数学的ディスコースの進展:具象化(reification)の記号論的分析2014

    • Author(s)
      真野祐輔
    • Journal Title

      数学教育学論究

      Volume: 96 Pages: 81-88

    • NAID

      130008019182

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Exploring ‘what Japanese students find important in mathematics learning’based on the Third Wave Project2014

    • Author(s)
      Shinno, Y., Kinone, C. & Baba, T
    • Journal Title

      Proceedings of the Joint Meeting of PME38 and PME-NA36,

      Volume: 5 Pages: 169-176

    • Related Report
      2014 Research-status Report
    • Peer Reviewed
  • [Journal Article] 理論的枠組みに基づく「単元を通した数学的活動」の構想:単元「数列」における論証指導の系列と課題2014

    • Author(s)
      真野祐輔・國宗進
    • Journal Title

      日本数学教育学会『第2回春期研究大会論文集』

      Volume: 1 Pages: 49-56

    • NAID

      40022277347

    • Related Report
      2014 Research-status Report
  • [Presentation] Meta-theoretical aspects of the two case studies of networking theoretical perspectives: focusing on the treatments of theoretical terms in different networking strategies2017

    • Author(s)
      Yusuke Shinno
    • Organizer
      10th Congress of European Research in Mathematics Education
    • Place of Presentation
      Dublin, Ireland
    • Year and Date
      2017-02-01
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 数学教育研究の方法論としての理論のネットワーク化:多様なネットワーク化方略からみえる研究課題2017

    • Author(s)
      山本美緒・真野祐輔
    • Organizer
      全国数学教育学会第45回研究発表会
    • Place of Presentation
      広島大学
    • Year and Date
      2017-01-28
    • Related Report
      2016 Annual Research Report
  • [Presentation] 小学校教師を志望する大学生の論証認識を捉える枠組みの検討:数学的プロセスを評価するための教師の気づきに焦点をあてて2016

    • Author(s)
      柳本朋子・真野祐輔・宇野勝博
    • 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
      2016-10-29
    • Related Report
      2016 Annual Research Report
  • [Presentation] Curriculum development in the teaching of mathematical proof at the secondary schools in Japan2016

    • Author(s)
      Tatsuya Mizoguchi, Hideki Iwasaki, Susumu Kunimune, Hiroaki, Hamanaka, Takeshi Miyakawa, Yusuke Shinno, Yuki Suginomoto, and Koji Otaki
    • Organizer
      13th International Conference on Mathematics Education
    • Place of Presentation
      Hamburg, Germany
    • Year and Date
      2016-07-24
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] An investigation of prospective primary teachers’ mathematical argumentation: from the perspective of mathematical knowledge for teaching and evaluating2016

    • Author(s)
      Yusuke Shinno, Tomoko Yanagimoto and Katsuhiro Uno
    • Organizer
      13th International Conference on Mathematics Education
    • Place of Presentation
      Hamburg, Germany
    • Year and Date
      2016-07-24
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 証明読解の水準からみた数学的帰納法に関する困難性の特徴づけ:中等教育を一貫する論証指導に向けて2016

    • Author(s)
      真野祐輔
    • Organizer
      全国数学教育学会第43回研究発表会
    • Place of Presentation
      広島大学
    • Year and Date
      2016-01-31
    • Related Report
      2015 Research-status Report
  • [Presentation] 中等教育を一貫する数学的活動に基づく論証指導の理論的基盤(招待講演)2016

    • Author(s)
      宮川健・真野祐輔・岩崎秀樹・國宗進・溝口達也・石井英真・阿部好貴
    • Organizer
      全国数学教育学会第43回研究発表会
    • Place of Presentation
      広島大学
    • Year and Date
      2016-01-30
    • Related Report
      2015 Research-status Report
    • Invited
  • [Presentation] 小学校教師を志望する大学生の論証認識に関する研究(4):数学的プロセスを評価するための教師の知識に焦点をあてて2015

    • Author(s)
      柳本朋子,真野祐輔,宇野勝博
    • Organizer
      日本数学教育学会第48回秋期研究大会
    • Place of Presentation
      信州大学
    • Year and Date
      2015-11-08
    • Related Report
      2015 Research-status Report
  • [Presentation] An analysis of the essential difficulties with mathematical induction: in the case of prospective teachers2015

    • Author(s)
      Shinno, Y., & Fujita, T.
    • Organizer
      British Society for Research into Learning Mathematics
    • Place of Presentation
      University of Reading, UK
    • Year and Date
      2015-11-07
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Cross-Cultural Study of Japanese and Thailand Mathematics Lesson Study: A Research Design2015

    • Author(s)
      Tatsuya Mizoguchi, Maitree Inprasitha, Akio Matsuzaki, Yusuke Shinno, Pimlak Moonpo
    • Organizer
      The 8th International Conference on Educational Research
    • Place of Presentation
      Faculty of Education, Khon Kaen University, Thailand
    • Year and Date
      2015-09-11
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] 小学校教師を志望する大学生の論証認識に関する研究(3)~現実的問題に含まれる前提条件に関する認識に焦点をあてて~2015

    • Author(s)
      柳本朋子・真野祐輔・宇野勝博
    • Organizer
      日本科学教育学会第39回年会
    • Place of Presentation
      山形大学
    • Year and Date
      2015-08-22
    • Related Report
      2015 Research-status Report
  • [Presentation] A theoretical framework for curriculum development in the teaching of mathematical proof at the secondary school level2015

    • Author(s)
      Shinno, Y., Miyakawa, T., Iwasaki, H., Kunimune, S., Mizoguchi, T., Ishii, T., Abe, Y.
    • Organizer
      The 39th International Conference for the Psychology of Mathematics Education
    • Place of Presentation
      Hobart, Australia
    • Year and Date
      2015-07-13
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] ディスコースを視点とした数学学習の記号論的考察:無理数の学習を例として2015

    • Author(s)
      真野祐輔
    • Organizer
      全国数学教育学会第42回研究発表会
    • Place of Presentation
      鹿児島大学
    • Year and Date
      2015-06-14
    • Related Report
      2015 Research-status Report
  • [Presentation] Japanese Elementary School Students Math Performance: A Case of Tottori Prefecture regional “Math Diagnostic Test”2015

    • Author(s)
      Tatsuya Mizoguchi, Yusuke Shinno
    • Organizer
      The International Conference: The Open Environment for the Worldwide Mathematical Education
    • Place of Presentation
      Moscow Center for Continuous Mathematical Education (MCCME), Moscow, Russia
    • Year and Date
      2015-04-08
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] 小学校教師を志望する大学生の論証認識に関する研究(2):跳び箱の問題を事例として2014

    • Author(s)
      柳本朋子・真野祐輔・宇野勝博
    • Organizer
      日本数学教育学会第47回秋期研究大会
    • Place of Presentation
      熊本大学
    • Year and Date
      2014-11-08 – 2014-11-09
    • Related Report
      2014 Research-status Report
  • [Presentation] 確率認識における形式的・アルゴリズム的・直観的要素の相互作用を捉える枠組みの設定:モンティホール問題の分析による枠組みの記述性の検討2014

    • Author(s)
      緒方友美・真野祐輔
    • Organizer
      日本数学教育学会第47回秋期研究大会
    • Place of Presentation
      熊本大学
    • Year and Date
      2014-11-08 – 2014-11-09
    • Related Report
      2014 Research-status Report
  • [Presentation] 数学的帰納法の指導における限量詞の扱いと課題2014

    • Author(s)
      真野祐輔
    • Organizer
      全国数学教育学会第40回研究発表会
    • Place of Presentation
      大阪教育大学
    • Year and Date
      2014-06-14 – 2014-06-15
    • Related Report
      2014 Research-status Report

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Published: 2014-04-04   Modified: 2022-02-03  

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