An empirical study on mathematics classroom processes in terms of argumentation structures

• Project/Area Number: 17K04775
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Education on school subjects and activities
• Research Institution: Hiroshima University (2019); Osaka Kyoiku University (2017-2018)
• Principal Investigator: Shinno Yusuke 広島大学, 教育学研究科, 准教授 (10585433)
• Project Period (FY): 2017-04-01 – 2020-03-31
• Project Status: Completed (Fiscal Year 2019)
• Budget Amount: ¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000); Fiscal Year 2019: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000); Fiscal Year 2018: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000); Fiscal Year 2017: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
• Keywords: アーギュメンテーション / 授業分析 / 研究方法論 / 証明 / 数学教育 / 数学教育学

Outline of Final Research Achievements

This study aimed to establish a research method for analyzing a coherence of mathematics classroom processes in terms of argumentation structures. There are two main findings. One is about the literature reviews of different conceptions of argumentation in mathematics education. Another is about the argumentation method as a research methodology to reveal different mathematical activities not only within a lesson but also in a set of the lessons. To develop and share this research method with the research community in Japan, international research seminar and workshop with an invited expert have been held.

Academic Significance and Societal Importance of the Research Achievements

本研究の成果の学術的意義は，数学授業の一つの研究手法として「アーギュメンテーション分析」という方法論およびその手法を用いた日本の数学授業分析のあり方を示したことである。また，本研究の成果の社会的意義は，そうした研究成果を国際研究集会及びワークショップを通して，日本の数学教育研究コミュニティへの発信を行ったこと，さらには招聘した海外研究者と協力して「アーギュメンテーション分析」の方法論的改善に着手し，研究手法のさらなる発展の可能性を示すことができたことである。

Research Products

• [Int'l Joint Research] University of Agder(ノルウェー)
• [Journal Article] Comparing the Lower Secondary Textbooks of Japan and England: a Praxeological Analysis of Symmetry and Transformations in Geometry (2020)
  • Author(s): Takeuchi, H. & Shinno, Y.
  • Journal Title: International Journal of Science and Mathematics Education Volume: 18(4) Issue: 4 Pages: 791-810
  • DOI: 10.1007/s10763-019-09982-3
  • Peer Reviewed / Open Access
• [Journal Article] Some linguistic issues on the teaching of mathematical proof (2019)
  • Author(s): Shinno, Y., Miyakawa, T., Mizoguchi, T., Hamanaka, H., Kunimune, S.
  • Journal Title: Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education Volume: - Pages: 318-325
  • Peer Reviewed / Open Access
• [Journal Article] How Japanese teachers use mathematics textbooks for "kyozai-kenkyu": Characterizing their different uses by paradidactic praxeologies (2019)
  • Author(s): Mizoguchi, T. & Shinno, Y.
  • Journal Title: Proceedings of the Third International Conference on Mathematics Textbook Research and Development Volume: - Pages: 257-262
  • Peer Reviewed / Open Access
• [Journal Article] The ecology of study and research paths in upper secondary school: The cases of Denmark and Japan, (2019)
  • Author(s): Britta Jessen, Koji Otaki, Takeshi Miyakawa, Hiroaki Hamanaka, Tatsuya Mizoguchi, Yusuke Shinno, Carl Winslow
  • Journal Title: Working with the Anthropological Theory of the Didactic in Mathematics Education A Comprehensive Casebook Volume: - Pages: 118-138
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] A study on Pick's theorem as a teaching material for proving activities (2018)
  • Author(s): 石井雅也，真野祐輔
  • Journal Title: JSSE Research Report Volume: 33 Issue: 3 Pages: 45-48
  • DOI: 10.14935/jsser.33.3_45
  • NAID: 130007535115
  • ISSN: 1882-4684
  • Year and Date: 2018-12-08
  • Open Access
• [Journal Article] 論証指導における日常言語の影響: AE/EA statementsの定式化に伴う困難性に 焦点をあてて (2018)
  • Author(s): 真野祐輔，溝口達也，濱中裕明，國宗進
  • Journal Title: 日本数学教育学会「第6 回春期研究大会論文集」 Volume: - Pages: 61-68
  • NAID: 40022277615
• [Journal Article] Challenges in curriculum development for mathematical proof in secondary school: cultural dimensions to be considered (2018)
  • Author(s): Shinno, Y., Miyakawa, T., Iwasaki, H., Kunimune, S., Mizoguchi, T., Ishii, T., & Abe, Y.
  • Journal Title: For the Learning of Mathematics Volume: 38(1) Pages: 26-30
  • Peer Reviewed
• [Journal Article] An Investigation of Prospective Elementary Teachers’ Argumentation from the Perspective of Mathematical Knowledge for Teaching and Evaluating (2017)
  • Author(s): Shinno Yusuke、Yanagimoto Tomoko、Uno Katsuhiro
  • Journal Title: Research advances in the mathematical education of pre-service elementary teachers, ICME-13 Monograph Volume: - Pages: 155-169
  • DOI: 10.1007/978-3-319-68342-3_11
  • ISBN: 9783319683416, 9783319683423
  • Peer Reviewed
• [Journal Article] Meta-theoretical aspects of the two case studies of networking theoretical perspectives: focusing on the treatments of theoretical terms in different networking strategies (2017)
  • Author(s): Shinno, Y.
  • Journal Title: Proceedings of the Tenth Congress of European Research in Mathematics Education Volume: - Pages: 2700-2701
  • Peer Reviewed / Open Access
• [Journal Article] Reconstructing a lesson sequence introducing an irrational number as a global argumentation structure (2017)
  • Author(s): Shinno, Y.
  • Journal Title: Proceedings of the 41st Conference of the International Group for the Psychology of Mathematics Education Volume: 4 Pages: 193-200
  • Peer Reviewed
• [Journal Article] Curriculum Development in the Teaching of Mathematical Proof at the Secondary Schools in Japan (2017)
  • Author(s): Mizoguchi Tatsuya、Iwasaki Hideki、Kunimune Susumu、Hamanaka Hiroaki、Miyakawa Takeshi、Shinno Yusuke、Suginomoto Yuki、Otaki Koji
  • Journal Title: International Congress on Mathematical Education, ICME-13 Monograph Volume: - Pages: 743-744
  • DOI: 10.1007/978-3-319-62597-3_133
  • ISBN: 9783319625966, 9783319625973
  • Open Access
• [Presentation] 授業過程の研究手法としてのアーギュメンテーション分析 (2019)
  • Author(s): 真野祐輔・David Reid・小松孝太郎・辻山洋介
  • Organizer: 日本科学教育学会第43回年会
• [Presentation] 論証活動における発見と説明の統一に関する研究―ピックの定理の説明を読む活動に焦点を当てて― (2019)
  • Author(s): 石井雅也，真野祐輔
  • Organizer: 第 66 回 近畿数学教育学会例会
• [Presentation] Pre-service teachers’ designing of an inquiry task through the course of study and research paths for teacher education (2019)
  • Author(s): Mizoguchi, T. & Shinno, Y
  • Organizer: Intesive Research Programme: Advances in the Anthropological Theory of the Didactic and their Consequences in Curricula and in Teacher Education
  • Int'l Joint Research
• [Presentation] Some linguistic issues on the teaching of mathematical proof (2019)
  • Author(s): Shinno, Y., Mizoguchi, T., Hamanaka, H.,Miyakawa, T., & Kunimune, S.
  • Organizer: The 11th Congress of the European Society for Research in Mathematics Education
  • Int'l Joint Research
• [Presentation] How ordinary language influences the formulation of statements with quantifications (2018)
  • Author(s): Shinno, Y., Mizoguchi, T., Hamanaka, H.,Miyakawa, T., & Kunimune, S.
  • Organizer: 42nd Conference of the International Group for the Psychology of Mathematics Education
  • Int'l Joint Research
• [Presentation] A comparison of lower secondary textbooks from Japan and England: the case of symmetry and transformations (2018)
  • Author(s): Takeuchi, H. & Shinno, Y.
  • Organizer: 6th International Conference on the Anthropological Theory of the Didactic
  • Int'l Joint Research
• [Presentation] Describing researchers’ ways of seeing a lesson: As the first work of the cross-cultural study on lesson study between Japan and Thailand (2018)
  • Author(s): Mizoguchi, T., Inprasitha, M., Changsri, N. & Shinno, Y.
  • Organizer: 6th International Conference on the Anthropological Theory of the Didactic
  • Int'l Joint Research
• [Presentation] 数学教育における証明研究の今日的動向：国際的な研究動向と日本の証明研究への示唆 (2017)
  • Author(s): 國宗進・藤田太郎・真野祐輔
  • Organizer: 日本数学教育学会第5回春期研究大会
• [Presentation] 数学教育学における理論のネットワーク化に関する研究：リサーチ・プラクセオロジーの視点から (2017)
  • Author(s): 真野祐輔・溝口達也
  • Organizer: 日本数学教育学会第50回秋期研究大会
• [Book] 小学校教師のための算数と数学15講 (2019)
  • Author(s): 真野祐輔（分担執筆）
  • Total Pages: 199
  • Publisher: ミネルヴァ書房
  • ISBN: 9784623084289
• [Book] 新しい数学教育の理論と実践 (2019)
  • Author(s): 真野祐輔（分担執筆）
  • Total Pages: 285
  • Publisher: ミネルヴァ書房
  • ISBN: 9784623084296
• [Remarks] 証明の指導と学習に関する国際研究集会
  • URL: http://www.osaka-kyoiku.ac.jp/~shinno/shinno/Int.Semi..html
• [Funded Workshop] 証明の指導と学習に関する国際研究集会 (2019)