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A cultural-anthropological study on argumentation and proof throughout the secondary mathematics education

Research Project

Project/Area Number 18H01015
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Review Section Basic Section 09040:Education on school subjects and primary/secondary education-related
Research InstitutionTottori University

Principal Investigator

Mizoguchi Tatsuya  鳥取大学, 地域学部, 教授 (70304194)

Co-Investigator(Kenkyū-buntansha) 熊倉 啓之  静岡大学, 教育学部, 教授 (00377706)
濱中 裕明  兵庫教育大学, 連合学校教育学研究科, 教授 (20294267)
宮川 健  早稲田大学, 教育・総合科学学術院, 教授 (30375456)
石井 英真  京都大学, 教育学研究科, 准教授 (10452327)
阿部 好貴  新潟大学, 人文社会科学系, 准教授 (40624630)
真野 祐輔  広島大学, 人間社会科学研究科(教), 准教授 (10585433)
大滝 孝治  北海道教育大学, 教育学部, 講師 (90750422)
岩崎 秀樹  広島大学, 教育学研究科, 名誉教授 (50116539)
Project Period (FY) 2018-04-01 – 2022-03-31
Project Status Completed (Fiscal Year 2023)
Budget Amount *help
¥17,030,000 (Direct Cost: ¥13,100,000、Indirect Cost: ¥3,930,000)
Fiscal Year 2021: ¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2020: ¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000)
Fiscal Year 2019: ¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2018: ¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Keywords論証能力 / 文化論的・人間学的研究 / 中等教育 / 数学的証明 / 数学教授学 / 数学教育学
Outline of Final Research Achievements

In this research project, we defined the notion of 'argumentation' (2018), and analysed the teaching of mathematical proofs from the perspective of the 'format of proof', as well as considering it from the theory of didactic transposition in ATD, and its aspects and actual transposition (2019). Furthermore, we focused on the relationship between 'inquiry' and 'argumentation', especially SRPs in ATD and their use in teacher education (SRP-TE) (2020). Although the research activities planned for 2020 (and beyond) have had to be significantly changed due to the Corona disaster, an international research seminar was held in 2023 to discuss the perspective of 'argumentation, proof and inquiry'.

Academic Significance and Societal Importance of the Research Achievements

これまで論証,あるいは数学的証明に関する各種の研究の多くが,いわゆる認知的研究プログラムに立脚していたのに対し,教授人間学理論を基盤としたアプローチを取ることによる認識論的研究プログラムに基づくものとして本研究プロジェクトは位置付けられる。このことは,当該テーマに関わる様々な生態学的及び経済学的分析を主とすることを意味しており,わが国の数学教育学研究にはこれまであまり見られなかった新しいアプローチを提供するものであると言える。同時に,教科書分析や実際の教授実験を通した実践的な示唆も提供し得た。

Report

(5 results)
  • 2023 Final Research Report ( PDF )
  • 2021 Annual Research Report
  • 2020 Annual Research Report
  • 2019 Annual Research Report
  • 2018 Annual Research Report
  • Research Products

    (78 results)

All 2024 2023 2021 2020 2019 2018 Other

All Int'l Joint Research (3 results) Journal Article (30 results) (of which Int'l Joint Research: 7 results,  Peer Reviewed: 15 results,  Open Access: 16 results) Presentation (32 results) (of which Int'l Joint Research: 13 results,  Invited: 3 results) Book (11 results) Funded Workshop (2 results)

  • [Int'l Joint Research] Universitat de Barcelona(スペイン)

    • Related Report
      2021 Annual Research Report
  • [Int'l Joint Research] Universitat de Barcelona(スペイン)

    • Related Report
      2020 Annual Research Report
  • [Int'l Joint Research] Khon Kaen University(タイ)

    • Related Report
      2018 Annual Research Report
  • [Journal Article] 学校と社会をつなぐ真正の学び2024

    • Author(s)
      石井英真
    • Journal Title

      教育展望

      Volume: 761 Pages: 11-17

    • Related Report
      2021 Annual Research Report
  • [Journal Article] Students’ design of inquiry with didactic tools: A Japanese case2024

    • Author(s)
      Mizoguchi, T., Barquero, B. & Bosch, M.
    • Journal Title

      Proceedings of the 13th Congress of the European Society for Research in Mathematics Education

      Volume: 1 Pages: 3251-3258

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Networking praxeologies and theoretical grain sizes in mathematics education2023

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

      Hiroshima Journal of Mathematics Education

      Volume: 16 Issue: 0 Pages: 77-94

    • DOI

      10.24529/hjme.1606

    • ISSN
      0919-1720, 2758-5263
    • Year and Date
      2023-10-16
    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] 空間図形の問題に関する中学生の説明の特徴-空間における2線分の位置関係に関する説明の分析-2023

    • Author(s)
      近藤裕・熊倉啓之・藤田太郎・宮脇真一・國宗進
    • Journal Title

      日本数学教育学会誌

      Volume: 105-9 Pages: 2-10

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 2次方程式を利用するよさを実感させる授業についてー協同的探究学習を用いた中学校数学の授業開発ー2023

    • Author(s)
      出口和貴,濵中裕明
    • Journal Title

      全国数学教育学会誌『数学教育学研究』

      Volume: 第29巻第2号 Pages: 79-91

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] An Improvement in Teaching Spatial Geometry in Elementary School : Understanding of 2D representations of Cubes of Students in Grade 62021

    • Author(s)
      竹内淳,熊倉啓之,國宗進,藤田太郎,近藤裕
    • Journal Title

      静岡大学教育実践総合センター紀要

      Volume: 31 Pages: 127-136

    • DOI

      10.14945/00027911

    • NAID

      120006979171

    • ISSN
      13480707
    • URL

      https://shizuoka.repo.nii.ac.jp/records/12983

    • Year and Date
      2021-03-25
    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Geometry Teaching to Promote Comprehensive and Expansive Thinking in Junior High School : Development Materials and Practice of “Number of Right Angle” and “Voronoi Diagram”2021

    • Author(s)
      加藤健二・杉山篤史・熊倉啓之
    • Journal Title

      静岡大学教育実践総合センター紀要

      Volume: 31 Pages: 315-324

    • DOI

      10.14945/00027931

    • NAID

      120006979150

    • ISSN
      13480707
    • URL

      https://shizuoka.repo.nii.ac.jp/records/13003

    • Year and Date
      2021-03-25
    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Spatial reasoning skills about 2D representations of 3D geometrical shapes in grades 4 to 92020

    • Author(s)
      Fujita Taro、Kondo Yutaka、Kumakura Hiroyuki、Kunimune Susumu、Jones Keith
    • Journal Title

      Mathematics Education Research Journal

      Volume: 32 Issue: 2 Pages: 235-255

    • DOI

      10.1007/s13394-020-00335-w

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Describing researchers窶? ways of seeing a lesson: As the first work of the cross-cultural study on lesson study between Japan and Thailand2020

    • Author(s)
      Mizoguchi, T., Inprasitha, M., Changsri, N. & Shinno, Y.
    • Journal Title

      Educaテァテ」o Matemテ。tica Pesquisa : Revista do Programa de Estudos Pテウs-Graduados em Educaテァテ」o Matemテ。tica

      Volume: 22(4) Issue: 4 Pages: 836-844

    • DOI

      10.23925/1983-3156.2020v22i4p836-844

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Students' understanding of Spatial Geometry : Case of 2D representations of Cubes2019

    • Author(s)
      近藤裕・熊倉啓之・國宗進・藤田太郎.
    • Journal Title

      奈良教育大学紀要. 人文・社会科学 = Bulletin of Nara University of Education. Cultural and Social Science

      Volume: 68 Issue: 1 Pages: 147-156

    • DOI

      10.20636/00013283

    • NAID

      120006772715

    • URL

      http://hdl.handle.net/10105/00013283

    • Year and Date
      2019-11-29
    • Related Report
      2019 Annual Research Report
    • Open Access
  • [Journal Article] Some Linguistic Issues on the Teaching of Mathematical Proof2019

    • 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

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] The ecology of study and research paths in upper secondary school: the cases of Denmark and Japan2019

    • Author(s)
      Jessen, B., Otaki, K., Miyakawa, T., Hamanaka, H., Mizoguchi, T., Shinno, Y., & Winslow, C.
    • Journal Title

      Working with the Anthropological Theory of the Didactic in Mathematics Education A Comprehensive Casebook

      Volume: - Pages: 118-138

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] How Japanese teachers use mathematics textbooks for "kyozai-kenkyu": Characterizing their different uses by paradidactic praxeologies2019

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

      Proceedings of the Third International Conference on Mathematics Textbook Research and Development

      Volume: 1

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] 中等教育を一貫する論証能力の形成に関する文化論的・人間学的研究:証明のフォーマットに焦点を当てて2019

    • Author(s)
      溝口達也
    • Journal Title

      Proceedings of the Annual Meeting of Japan Society for Science Education

      Volume: 43 Issue: 0 Pages: 279-282

    • DOI

      10.14935/jssep.43.0_279

    • NAID

      130007882799

    • ISSN
      0913-4476, 2186-3628, 2433-2925
    • Related Report
      2019 Annual Research Report
    • Open Access
  • [Journal Article] 数学教育において論証をなぜ学習指導するのか2019

    • Author(s)
      阿部好貴,石井真英,杉野本勇気,岩崎秀樹
    • Journal Title

      Proceedings of the Annual Meeting of Japan Society for Science Education

      Volume: 43 Issue: 0 Pages: 283-284

    • DOI

      10.14935/jssep.43.0_283

    • NAID

      130007882798

    • ISSN
      0913-4476, 2186-3628, 2433-2925
    • Related Report
      2019 Annual Research Report
    • Open Access
  • [Journal Article] わが国の数学授業における証明活動の特徴付け2019

    • Author(s)
      宮川 健
    • Journal Title

      Proceedings of the Annual Meeting of Japan Society for Science Education

      Volume: 43 Issue: 0 Pages: 285-288

    • DOI

      10.14935/jssep.43.0_285

    • NAID

      130007882797

    • ISSN
      0913-4476, 2186-3628, 2433-2925
    • Related Report
      2019 Annual Research Report
    • Open Access
  • [Journal Article] 間接的説明の表現に影響を与える文化的要素の考察―「矛盾」の言語使用に注目して―2019

    • Author(s)
      袴田綾斗,上ケ谷祐佑,早田 透
    • Journal Title

      Proceedings of the Annual Meeting of Japan Society for Science Education

      Volume: 43 Issue: 0 Pages: 289-292

    • DOI

      10.14935/jssep.43.0_289

    • NAID

      130007882796

    • ISSN
      0913-4476, 2186-3628, 2433-2925
    • Related Report
      2019 Annual Research Report
    • Open Access
  • [Journal Article] 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,デイビッド・レイド,小松幸太郎,辻山洋介
    • Journal Title

      Proceedings of the Annual Meeting of Japan Society for Science Education

      Volume: 43 Issue: 0 Pages: 293-296

    • DOI

      10.14935/jssep.43.0_293

    • NAID

      130007882795

    • ISSN
      0913-4476, 2186-3628, 2433-2925
    • Related Report
      2019 Annual Research Report
    • Open Access / Int'l Joint Research
  • [Journal Article] チェバ・メネラウスの定理に関する教材開発:n角形への拡張2019

    • Author(s)
      四之宮佳彦・熊倉啓之
    • Journal Title

      静岡大学教育実践総合センター紀要

      Volume: 29 Pages: 90-99

    • NAID

      120006594594

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] A study on Pick's theorem as a teaching material for proving activities2018

    • 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
    • Related Report
      2018 Annual Research Report
    • Open Access
  • [Journal Article] Japanese and Thai researchers’ ways of seeing mathematics lesson: A case study intended for the cross-cultural analysis of lesson study2018

    • Author(s)
      Mizoguchi, T., Inprasitha, M., Changsri, N., Matsuzaki, A., Shinno, Y., Kunseeda, P., and Hayata, T.
    • Journal Title

      Journal of Science and Mathematics Education in Southeast Asia

      Volume: 40(2) Pages: 103-121

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] 論証カリキュラム開発において考慮すべき事柄2018

    • Author(s)
      大滝孝治, 濱中裕明, 溝口達也, 熊倉啓之
    • Journal Title

      日本数学教育学会第6回春期研究大会論文集

      Volume: 1 Pages: 55-60

    • Related Report
      2018 Annual Research Report
  • [Journal Article] アクティブ・ラーニングPDCA<4>――自校に沿った「主体的・対話的で深い学び」の探求 教科する授業2018

    • Author(s)
      石井 英真
    • Journal Title

      教職研修

      Volume: 2018年7月号 Pages: 54-56

    • Related Report
      2018 Annual Research Report
  • [Journal Article] アクティブ・ラーニングPDCA<5>――自校に沿った「主体的・対話的で深い学び」の探求 教科する授業2018

    • Author(s)
      石井 英真
    • Journal Title

      教職研修

      Volume: 2018年8月号 Pages: 52-54

    • Related Report
      2018 Annual Research Report
  • [Journal Article] アクティブ・ラーニングPDCA<6>――自校に沿った「主体的・対話的で深い学び」の探求 教科する授業2018

    • Author(s)
      石井 英真
    • Journal Title

      教職研修

      Volume: 2018年9月号 Pages: 52-54

    • Related Report
      2018 Annual Research Report
  • [Journal Article] 新教育課程を生かす評価のあり方2018

    • Author(s)
      石井 英真
    • Journal Title

      リーダーズ・ライブラリ

      Volume: vol.8 Pages: 26-29

    • Related Report
      2018 Annual Research Report
  • [Journal Article] 菊池大麓『初等幾何学教科書』からみた論証指導の意義に関する一考察2018

    • Author(s)
      阿部 好貴,大滝 孝治,岩崎 秀樹
    • Journal Title

      日本数学教育学会第6回春期研究大会論文集

      Volume: 1 Pages: 51-54

    • NAID

      40022277526

    • Related Report
      2018 Annual Research Report
  • [Journal Article] CURRICULUM EVALUATION BY THE THEORY OF LAYERS FOR MATHEMATICAL ACTIVITIES: A CASE OF ‘FUNCTIONS AND EQUATIONS III’2018

    • Author(s)
      Yoshitaka ABE, Tatsuya MIZOGUCHI & Koji OTAKI
    • Journal Title

      Proceedings of 8th ICMI-East Asia Regional Conference on Mathematics Education

      Volume: vol.1 Pages: 200-208

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 明治期日本における論証指導の成立要因:リテラシーの視点からみる論証指導の原点2018

    • Author(s)
      阿部 好貴,大滝 孝治,岩崎 秀樹
    • Journal Title

      日本数学教育学会第51回秋期研究大会発表集録

      Volume: 1 Pages: 51-54

    • NAID

      40021939840

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [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: 1 Pages: 61-68

    • NAID

      40022277615

    • Related Report
      2018 Annual Research Report
  • [Presentation] 中学校数学における移動の生息地:予備的考察2023

    • Author(s)
      山脇雅也,玉木義一,田中克征,溝口達也
    • Organizer
      第59回全国数学教育学会研究発表会
    • Related Report
      2021 Annual Research Report
  • [Presentation] Students’ modelling activities in the inquiry on the slide rule2023

    • Author(s)
      Mizoguchi, T., Okada, K., Barquero, B. & Bosch, M.
    • Organizer
      The 21st International Conference on the Teaching of Mathematical Modelling and Applications
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Students’ design of inquiry with didactic tools: A Japanese case2023

    • Author(s)
      Mizoguchi, T., Barquero, B. & Bosch, M.
    • Organizer
      The 13th Congress of the European Society for Research in Mathematics Education
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 社会変動期における教科教育研究の課題2021

    • Author(s)
      石井英真
    • Organizer
      教育関連学会連絡協議会主催シンポジウム「21世紀の教科教育とその新しい研究―今、何が求められ、いかに、果たすのか―」
    • Related Report
      2020 Annual Research Report
    • Invited
  • [Presentation] 中等教育段階における数学的探究活動の考察:リテラシーを視座とする問題解決学習の反省2020

    • Author(s)
      杉野本勇気・阿部好貴
    • Organizer
      全国数学教育学会第52回研究発表会
    • Related Report
      2020 Annual Research Report
  • [Presentation] 数学的モデリングにおける論証活動2020

    • Author(s)
      阿部好貴・熊倉啓之・國宗進・石井英真
    • Organizer
      日本科学教育学会第44回年会
    • Related Report
      2020 Annual Research Report
  • [Presentation] デジタル環境/ICT環境における数学教育2020

    • Author(s)
      早田透・影山和也・阿部好貴・福田博人・大谷洋貴・石橋 一昴
    • Organizer
      全国数学教育学会第53回研究発表会
    • Related Report
      2020 Annual Research Report
  • [Presentation] 探究学習のための教師教育:教授人間学理論の視点から2020

    • Author(s)
      溝口達也, ベルタ・バルケロ, 宮川健, 真野祐輔
    • Organizer
      日本科学教育学会第44回年会
    • Related Report
      2020 Annual Research Report
  • [Presentation] モンティ・ホール問題における仮説検定と背理法:「同様に確からしくない」ことを論証する2020

    • Author(s)
      大滝孝治・大谷洋貴
    • Organizer
      全国数学教育学会第53回研究発表会
    • Related Report
      2020 Annual Research Report
  • [Presentation] 教授人間学理論における論証と探究2020

    • Author(s)
      宮川健, 濵中裕明, 大滝孝治
    • Organizer
      日本科学教育学会第44回年会
    • Related Report
      2020 Annual Research Report
  • [Presentation] Pre-service teachers’ designing of an inquiry task through the course of study and research paths for teacher education2019

    • Author(s)
      Mizoguchi, T. & Shinno, Y.
    • Organizer
      IRP: Advances in the ATD and their Consequences in Curricula and in Teacher Education - Advanced Course 3: The Curriculum Problem and the Paradigm of Questioning the World, in Mathematics and Beyond
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] How Japanese teachers use mathematics textbooks for "kyozai-kenkyu": Characterizing their different uses by paradidactic praxeologies2019

    • Author(s)
      Mizoguchi, T. & Shinno, Y.
    • Organizer
      the Third International Conference on Mathematics Textbook Research and Development
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Research on development of an inquiry-assisting-system based on students' activities2019

    • Author(s)
      Mizoguchi, T.
    • Organizer
      14th APEC-Khon Kaen International Conference
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 関数と方程式の統合カリキュラムの開発研究(5):生徒にいかなる問題解決の態度を育成したか2019

    • Author(s)
      山脇雅也, 溝口達也
    • Organizer
      日本数学教育学会第 101 回全国算数・数学教育研究(沖縄)大会
    • Related Report
      2019 Annual Research Report
  • [Presentation] 中等教育を一貫する論証能力の形成に関する文化論的・人間学的研究:証明のフォーマットに焦点を当てて2019

    • Author(s)
      溝口達也
    • Organizer
      日本科学教育学会第43回年会
    • Related Report
      2019 Annual Research Report
  • [Presentation] 数学教育において論証を何故学習指導するのか2019

    • Author(s)
      阿部好貴,石井真英,杉野本勇気,岩崎秀樹
    • Organizer
      日本科学教育学会第43回年会
    • Related Report
      2019 Annual Research Report
  • [Presentation] わが国の数学授業における証明活動の特徴付け2019

    • Author(s)
      宮川 健
    • Organizer
      日本科学教育学会第43回年会
    • Related Report
      2019 Annual Research Report
  • [Presentation] 間接的説明の表現に影響を与える文化的要素の考察-「矛盾」の言語使用に注目して-2019

    • Author(s)
      袴田綾斗,上ケ谷祐佑,早田 透
    • Organizer
      日本科学教育学会第43回年会
    • Related Report
      2019 Annual Research Report
  • [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,デイビッド・レイド,小松幸太郎,辻山洋介
    • Organizer
      日本科学教育学会第43回年会
    • Related Report
      2019 Annual Research Report
  • [Presentation] 生徒の活動状況に基づく学習支援システムの開発研究2019

    • Author(s)
      溝口達也, 岩井儀雄, 西山正志, __田大輔, 吉村宏紀
    • Organizer
      日本数学教育学会第52回秋期研究大会
    • Related Report
      2019 Annual Research Report
  • [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
    • Related Report
      2019 Annual Research Report
  • [Presentation] 数学教育の目標からみた数学的モデル化2019

    • Author(s)
      阿部好貴
    • Organizer
      日本数学教育学会第7回春期研究大会
    • Related Report
      2019 Annual Research Report
  • [Presentation] 高次の思考力を育むカリキュラムと評価―ポスト・ブルームの評価論の日本的展開―2019

    • Author(s)
      石井 英真
    • Organizer
      日本カリキュラム学会第30回大会 公開シンポジウム(国際シンポジウム「評価を生かしたカリキュラム設計」
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Fundamental task to generate the idea of proving by contradiction2019

    • Author(s)
      濱中裕明,大滝孝治
    • Organizer
      11th Congress of the European Society for Resarch in Mathematics Educaion (CERME11),口頭発表
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Study and Research Paths for InMside2018

    • Author(s)
      Mizoguchi, T.
    • Organizer
      The 13th APEC-Khon Kaen International Symposium: Bridge 12 years of APEC Lesson Study to InMside High Quality Curriculum for Digital Economies
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] A comparative research of mathematics lesson design by pre-service teachers: A case of Japan and Thailand2018

    • Author(s)
      Hayata, T., Mizoguchi, T., Matsuzaki, A., Shinno, Y., Inprasitha, M., Changsri, N., & Kunseeda, P.
    • Organizer
      The 11th International Conference on Educational Research: Innovations for Capacity Building and Networking
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Pre-service teachersによる数学授業設計の日泰比較:共通の問題を用いた事例研究のパイロット分析2018

    • Author(s)
      早田 透, 松嵜昭雄, 真野祐輔, 溝口達也, Maitree Inprasitha, Narumon Changsri, Phattaraphong Kunseeda
    • Organizer
      全国数学教育学会第48回研究発表会
    • Related Report
      2018 Annual Research Report
  • [Presentation] Cross-cultural study on lesson study: Working Group2018

    • Author(s)
      Mizoguchi, T. & Inprasitha, M.
    • Organizer
      8th ICMI-East Asia Regional Conference on Mathematics Education
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Fundamental Task to Generate the Idea of Reductio Ad Absurdum2018

    • Author(s)
      濱中裕明,大滝孝治
    • Organizer
      42nd Annual Meeting of the International Group for the Psychology of Mathematics Education (PME42),ポスター発表
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 『主体的・対話的で深い学び』をどう捉えるか ―『教科する』授業の創造へー2018

    • Author(s)
      石井 英真
    • Organizer
      2018年度数学教育学会秋季例会 総合講演
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Curriculum evaluation using the theory of layers for mathematical activities: A case of "Functions and Equations III2018

    • Author(s)
      Abe, Y., Mizoguchi, T. & Otaki, K.
    • Organizer
      8th ICMI-East Asia Regional Conference on Mathematics Education
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] How ordinary language influences the formulation of statements with quantifications2018

    • 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
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Book] 算数授業研究 No.1502024

    • Author(s)
      筑波大学附属小学校算数研究部企画・編集(分担執筆:石井英真)
    • Total Pages
      74
    • Publisher
      東洋館出版社
    • ISBN
      9784491054568
    • Related Report
      2021 Annual Research Report
  • [Book] ヤマ場をおさえる単元設計と評価課題・評価問題 中学校 数学2023

    • Author(s)
      石井英真全体編集・佃拓生教科編集
    • Total Pages
      208
    • Publisher
      図書文化
    • ISBN
      9784810037739
    • Related Report
      2021 Annual Research Report
  • [Book] 日本型STEM教育のための理論と実践2023

    • Author(s)
      磯﨑哲夫編著(分担執筆:石井英真)
    • Total Pages
      180
    • Publisher
      学校図書
    • ISBN
      9784762502477
    • Related Report
      2021 Annual Research Report
  • [Book] 新しい算数教育の理論と実践2021

    • Author(s)
      溝口達也(編著)
    • Total Pages
      251
    • Publisher
      ミネルヴァ書房
    • ISBN
      9784623091072
    • Related Report
      2020 Annual Research Report
  • [Book] 小学校新教科書ここが変わった!算数2020

    • Author(s)
      石井英真(編著)
    • Total Pages
      182
    • Publisher
      日本標準
    • ISBN
      9784820806998
    • Related Report
      2020 Annual Research Report
  • [Book] 新しい数学教育の理論と実践(数学的な見方・考え方と評価)2019

    • Author(s)
      岩崎秀樹・溝口達也(編著),熊倉啓之・濱中裕明・宮川 健・石井英真・阿部好貴・真野祐輔・大滝孝治(分担執筆)
    • Total Pages
      296
    • Publisher
      ミネルヴァ書房
    • ISBN
      9784623084296
    • Related Report
      2018 Annual Research Report
  • [Book] 小学校教師のための算数と数学15講2019

    • Author(s)
      溝口達也・岩崎秀樹(編著),熊倉啓之・濱中裕明・宮川 健・石井英真・阿部好貴・真野祐輔・大滝孝治(分担執筆)
    • Total Pages
      199
    • Publisher
      ミネルヴァ書房
    • ISBN
      9784623084289
    • Related Report
      2018 Annual Research Report
  • [Book] 平成30年度学習指導要領改訂のポイント2019

    • Author(s)
      吉田明史編著,熊倉啓之ほか17人
    • Total Pages
      133
    • Publisher
      明治図書
    • ISBN
      9784183304100
    • Related Report
      2018 Annual Research Report
  • [Book] 教科の「深い学び」を実現するパフォーマンス評価2019

    • Author(s)
      西岡加名恵・石井英真
    • Total Pages
      152
    • Publisher
      日本標準
    • Related Report
      2018 Annual Research Report
  • [Book] Q&Aでよくわかる!見方・考え方を育てるパフォーマンス評価2018

    • Author(s)
      西岡加名恵・石井英真
    • Total Pages
      176
    • Publisher
      明治図書出版
    • Related Report
      2018 Annual Research Report
  • [Book] Proceedings of the 13th International Congress on Mathematical Education2018

    • Author(s)
      Gabriele Kaiser (Ed.),溝口達也(分担執筆)
    • Total Pages
      766
    • Publisher
      Springer
    • ISBN
      9783319625966
    • Related Report
      2018 Annual Research Report
  • [Funded Workshop] International Research Seminar on Mathematics Teacher Education and Professional Development2023

    • Related Report
      2021 Annual Research Report
  • [Funded Workshop] International Seminar of Research on Teaching and Learning Mathematical Proof2019

    • Related Report
      2018 Annual Research Report

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Published: 2018-04-23   Modified: 2025-01-30  

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