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Hamanaka Hiroaki  濱中 裕明

ORCIDConnect your ORCID iD *help
… Alternative Names

HAMANAKA Hiroaki  濱中 裕明

濱中 裕章  ハマナカ ヒロアキ

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Researcher Number 20294267
Other IDs
Affiliation (Current) 2025: 兵庫教育大学, 連合学校教育学研究科, 教授
Affiliation (based on the past Project Information) *help 2018 – 2024: 兵庫教育大学, 連合学校教育学研究科, 教授
2016 – 2017: 兵庫教育大学, 学校教育研究科, 教授
2015: 兵庫教育大学, 学校教育研究科(研究院), 教授
2011 – 2013: 兵庫教育大学, 学校教育研究科(研究院), 准教授
2007 – 2010: Hyogo University of Teacher Education, 学校教育研究科, 准教授 … More
2009: 兵庫教育大学, 大学教育研究科, 准教授
2008: Hyogo University of Teacher Education, 大学院・学校教育研究科, 准教授
2006: 兵庫教育大学, 学校教育研究科, 助教授
2003 – 2005: 兵庫教育大学, 学校教育学部, 助教授
2002: 兵庫教育大学, 学校教育部, 講師
1998 – 2002: 兵庫教育大学, 学校教育学部, 講師
1999: Faculty on Teacher Education, Hyogo Univ.of Education, Lecturer, 学校教育学部, 講師 Less
Review Section/Research Field
Principal Investigator
Basic Section 09040:Education on school subjects and primary/secondary education-related / Education on school subjects and activities / Geometry / Geometry
Except Principal Investigator
Education on school subjects and activities / Basic Section 09040:Education on school subjects and primary/secondary education-related / Geometry / Geometry / Basic Section 09080:Science education-related / Medium-sized Section 9:Education and related fields / Science education
Keywords
Principal Investigator
K理論 / ユニタリ群 / ホモトピー / 教師教育 / 授業開発 / 例と定義 / 概念理解 / 一次関数 / 数学と数学教育の融合 / 教授学的状況理論 … More / 数学と数学教育学の架橋 / 教授人間学理論 / APOS理論 / 数学と数学教育学の融合 / 教材開発 / 構造指向 / 高大連携 / 数学的活動 / ユニタリー群 / ゲージ群 / トポロジー / ホモトピー的巾零性 / Samelson積 / 巾零性 / ホモトピー可換 / リー群 / ホモトピー論 / 位相幾何 / K-理論 / 特性類 / ホモトピー類 / 交換子写像 … More
Except Principal Investigator
数学教育 / 分類空間 / ゲージ群 / 教師教育 / gauge group / 局所化 / 大学数学教育 / 数学教育学 / 探究型学習 / 中等教育 / ホモトピー代数 / Flore homology / Conley homology / 随伴作用 / モジュライ空間 / K理論 / 自己ホモトピー群 / 自由ループ群 / 大学の数学教育 / 数学の教員養成 / 教員養成 / オンライン自動採点問題 / 学習支援環境 / 生成AI活用 / 協働型探究活動 / 教材開発原理 / 教材開発 / 探究 / 協働 / 数学教授学 / 数学的証明 / 文化論的・人間学的研究 / 論証能力 / 高等学校 / 中学校 / 探究活動 / 課題学習 / 研究者の探究 / 課題研究 / 名古屋大学数学教育セミナー / 教科内容構成研究 / 数学教員数学リテラシー / 教員養成数学教育カリキュラムモデル / 高等科学教育 / 教員養成教育 / 科学高等教育 / 数学史 / 統計教育 / 教科内容学 / 数学リテラシー / 教員養成カリキュラム改革 / 数学的リテラシー / 論証指導 / カリキュラム開発 / 数学的活動 / 論証 / 算数学習 / 教材研究 / 算数教育 / メタ認知 / characteristic class / exceptional group / nilpotent group / principal bundle / classical group / K-theory / self homotopy set / KO理論 / e-不変量 / K-理論 / 随伴束 / LS category / nilpotency / ホモトピー論 / 巾零群 / 例外リー群 / 特性類 / 例外群 / 中零群 / 主東 / 古典群 / 自己ホモトピー集合 / homotopical algebra / Cherm number / homotopy associative / homotopyset / localization / infinite dimensional Lie group / 非可換代数幾何学 / スタック / ホモトピー型 / 無次元リー群 / Chern数 / ホモトピー結合性 / ホモトピー集合 / 無限次元リー群 / Classifying space / Hopf space / adjoint representation / free loop group / Hopf空間 / 教員養成プログラム / 複合領域 / 学士課程教育 / 創発のメソッド / 全国学力・学習状況調査 / エタールホモトピー / ホモトピー可換 / 有理ホモトピー / 高次のホモトピー結合性 / Samelson積 / リー群 / 自己ホモトピ-群 / 自由ル-プ空間 / 高次のホモトピ-結合性 / ゲ-ジ群 / リ-群 / ベキ零群 / 自由ループ空間 / 写像空間 / ファイバーワイズトポロジーL.Sカテゴリー Less
  • Research Projects

    (18 results)
  • Research Products

    (99 results)
  • Co-Researchers

    (57 People)
  •  数学科教師教育における教材開発原理の活用とその検証:協働型探究活動に焦点を当てて

    • Principal Investigator
      小松 孝太郎
    • Project Period (FY)
      2024 – 2027
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Review Section
      Basic Section 09040:Education on school subjects and primary/secondary education-related
    • Research Institution
      University of Tsukuba
  •  Redefining Cheating-Resistant Property of Mathematical Educational Materials for first-year students in the Era of AI Coexistence and Constructing a Comprehensive Learning Support Environment

    • Principal Investigator
      吉冨 賢太郎
    • Project Period (FY)
      2024 – 2028
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Review Section
      Medium-sized Section 9:Education and related fields
    • Research Institution
      Osaka Metropolitan University
  •  世界探究パラダイムに基づいた新しい教師教育の展開

    • Principal Investigator
      宮川 健
    • Project Period (FY)
      2021 – 2024
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Review Section
      Basic Section 09080:Science education-related
    • Research Institution
      Waseda University
  •  Developing principles of task design for promoting students' collaborative mathematical inquiry in school mathematics

    • Principal Investigator
      Komatsu Kotaro
    • Project Period (FY)
      2019 – 2022
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Review Section
      Basic Section 09040:Education on school subjects and primary/secondary education-related
    • Research Institution
      University of Tsukuba
      Shinshu University
  •  Class Development and Teacher Education by uniting Mathematics and Mathematics Education based on Theoretical FrameworksPrincipal Investigator

    • Principal Investigator
      Hamanaka Hiroaki
    • Project Period (FY)
      2018 – 2021
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 09040:Education on school subjects and primary/secondary education-related
    • Research Institution
      Hyogo University of Teacher Education
  •  A cultural-anthropological study on argumentation and proof throughout the secondary mathematics education

    • Principal Investigator
      Mizoguchi Tatsuya
    • Project Period (FY)
      2018 – 2021
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Review Section
      Basic Section 09040:Education on school subjects and primary/secondary education-related
    • Research Institution
      Tottori University
  •  Study of Curriculum of Mathematics Teacher Education Based on the Notion of Mathematical Literacy

    • Principal Investigator
      NAMIKAWA Yukihiko
    • Project Period (FY)
      2017 – 2019
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Science education
    • Research Institution
      Sugiyama Jogakuen University
  •  Viability of the mathematics teaching based on the paradigm of questioning the world in Japanese secondary school

    • Principal Investigator
      Miyakawa Takeshi
    • Project Period (FY)
      2017 – 2020
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Education on school subjects and activities
    • Research Institution
      Waseda University
      Joetsu University of Education
  •  Development of a program to develop teaching materials research skills of teachers to foster metacognition of children in arithmetic learning

    • Principal Investigator
      Kato Hisae
    • Project Period (FY)
      2015 – 2018
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Education on school subjects and activities
    • Research Institution
      Hyogo University of Teacher Education
  •  Research on curriculum development of mathematical proof by networking mathematical activities within and between the domains consistent in secondary education

    • Principal Investigator
      Mizoguchi Tatsuya
    • Project Period (FY)
      2015 – 2017
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Education on school subjects and activities
    • Research Institution
      Tottori University
  •  Development of Materials for Mathematical Activities in Cooperation between University and High school , and Teacher EducationPrincipal Investigator

    • Principal Investigator
      HAMANAKA HIROAKI
    • Project Period (FY)
      2011 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Education on school subjects and activities
    • Research Institution
      Hyogo University of Teacher Education
  •  教員養成プログラムにおける「創発のメソッド」の構築

    • Principal Investigator
      小竹 光夫, 梶田 叡一
    • Project Period (FY)
      2009 – 2010
    • Research Category
      Grant-in-Aid for Challenging Exploratory Research
    • Research Field
      Education on school subjects and activities
    • Research Institution
      Hyogo University of Teacher Education
  •  Research on algebraic topology and its geometric applications

    • Principal Investigator
      KONO Akira
    • Project Period (FY)
      2006 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
  •  unstable K-theory and homotopy-nilpotency of Lie groupsPrincipal Investigator

    • Principal Investigator
      HAMANAKA Hiroaki
    • Project Period (FY)
      2006 – 2008
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Geometry
    • Research Institution
      Hyogo University of Teacher Education
  •  Homotopical Algebra and its Geometric Applications

    • Principal Investigator
      KONO Akira
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Graduate School of Science, Kyoto University
  •  リー群のホモトピー論的研究と非安定K理論Principal Investigator

    • Principal Investigator
      濱中 裕明
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Geometry
    • Research Institution
      Hyogo University of Teacher Education
  •  Algebraic Geometry, Differential Geometry and Topology of Manifolds

    • Principal Investigator
      KONO Akira
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
  •  Classifying spaces of Categories, Flore Homology and Homotopsy Theory of Infinite Complexes

    • Principal Investigator
      KONO Akira
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      KYOTO UNIVERSITY

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All Journal Article Presentation Book

  • [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
    • Data Source
      KAKENHI-PROJECT-18H01015
  • [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
    • Data Source
      KAKENHI-PROJECT-18H01015
  • [Journal Article] 「説明する証明の理解」を目指した授業についてー数学的な面白さを感じさせることを目指してー2024

    • Author(s)
      檜皮賢治・濱中裕明
    • Journal Title

      全国数学教育学会誌

      Volume: 28(3) Pages: 57-68

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19H01668
  • [Journal Article] 「必要条件」という概念の本来の機能の発生とその顕在化ー論理疑念の高校数学における生息可能性ー2023

    • Author(s)
      濱中裕明・相馬智紀
    • Journal Title

      全国数学教育学会誌

      Volume: 28(2) Pages: 47-56

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19H01668
  • [Journal Article] Introducing group theory with its raison d'etre for students2020

    • Author(s)
      Hiroaki Hamanaka, Koji Otaki, Ryoto Hakamata
    • Journal Title

      Proceedings of third conference of the International Network for Didactic Research in University Mathematics

      Volume: - Pages: 328-337

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-17H02694
  • [Journal Article] Generating the raison d’_tre of logical concepts in mathematical activity at secondary school: Focusing on necessary/sufficient conditions2020

    • Author(s)
      Hiroaki Hamanaka, Koji Otaki
    • Journal Title

      Educacao Matematica Pesquisa

      Volume: 22 Issue: 4 Pages: 438-453

    • DOI

      10.23925/1983-3156.2020v22i4p438-453

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-17H02694
  • [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

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18H01015
  • [Journal Article] Fundamental task to generate the idea of proving by contradiction2019

    • Author(s)
      Hamanaka, H. & Otaki, K.
    • Journal Title

      Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education (CERME11)

      Volume: - Pages: 191-198

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-17H02694
  • [Journal Article] 一次関数の深い概念理解を捉える枠組みの検討―example spaceとAPOS理論のSchemaの視点から―2019

    • Author(s)
      濱中裕明,川内充延,吉川昌慶,加藤久恵
    • Journal Title

      全国数学教育学会誌 数学教育学研究

      Volume: 25(2) Pages: 1-9

    • NAID

      40022337505

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18K02527
  • [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

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H02694
  • [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

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-18H01015
  • [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: 1 Pages: 318-325

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-19H01668
  • [Journal Article] 「複素数平面」の学習における「平面上の変換」の概念化についての考察―APOS理論の視点から―2018

    • Author(s)
      濱中裕明,吉川昌慶
    • Journal Title

      全国数学教育学会誌『数学教育学研究』

      Volume: 24-1 Pages: 37-45

    • NAID

      130007704475

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-17H01985
  • [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

    • Data Source
      KAKENHI-PROJECT-18H01015
  • [Journal Article] 「複素数平面」の学習における「平面上の変換」の概念化についての考察ーAPOS理論の視点からー2018

    • Author(s)
      濱中裕明,吉川昌慶
    • Journal Title

      全国数学教育学会誌『数学教育学研究』

      Volume: 24(1) Pages: 37-46

    • NAID

      130007704475

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17H02694
  • [Journal Article] 「複素数平面」の学習における「平面上の変換」の概念化についての考察ーAPOS理論の視点からー2018

    • Author(s)
      濱中裕明,吉川昌慶
    • Journal Title

      全国数学教育学会誌『数学教育学研究』

      Volume: 第24巻第1号 Pages: 37-46

    • NAID

      130007704475

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15H03501
  • [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

    • Data Source
      KAKENHI-PROJECT-18H01015
  • [Journal Article] 論証指導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

      Pages: 55-60

    • NAID

      40022277558

    • Data Source
      KAKENHI-PROJECT-17H02694
  • [Journal Article] 平行四辺形になるための条件の真偽判断を通した証明的考察ー中等教育を一貫する論証指導の視座からー2017

    • Author(s)
      濱中裕明,熊倉啓之,宮川健
    • Journal Title

      日本数学教育学会第5回春季研究大会論文集

      Volume: - Pages: 101-108

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15H03501
  • [Journal Article] 平行四辺形になるための条件の真偽判断を通した証明的考察ー中等教育を一貫する論証指導の視座からー2017

    • Author(s)
      濱中裕明,熊倉啓之,宮川健
    • Journal Title

      日本数学教育学会第5回春期研究大会論文集

      Pages: 101-108

    • Data Source
      KAKENHI-PROJECT-17H02694
  • [Journal Article] 平行四辺形になるための条件の真偽判断を通した証明的思考 -中等教育を一貫する論証指導の視座から-2017

    • Author(s)
      濱中裕明,熊倉啓之,宮川健
    • Journal Title

      日本数学教育学会春期研究大会論文集

      Volume: 5 Pages: 101-108

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-17H01985
  • [Journal Article] Curriculum Development in the Teaching of Mathematical Proof at the Secondary Schools in Japan2017

    • 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
    • Data Source
      KAKENHI-PROJECT-17K04775, KAKENHI-PROJECT-15H03501
  • [Journal Article] Proving activities in inquiries using the Internet2016

    • Author(s)
      Otaki, K., Miyakawa, T. & Hamanaka, H.
    • Journal Title

      Proceedings of the 40th Conference of the International Group for the Psychology of Mathematics Education

      Volume: Vol. 4 Pages: 11-18

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-15H03501
  • [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

    • Open Access
    • Data Source
      KAKENHI-PROJECT-15H03501
  • [Journal Article] 高校における構造指向の数学的活動に関する考察―教授学的状況理論の視点から―2014

    • Author(s)
      濱中裕明,加藤久恵
    • Journal Title

      全国数学教育学会誌『数学教育学研究

      Volume: 第20巻第1号 Pages: 133-142

    • NAID

      130007580531

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23531192
  • [Journal Article] 高校における構造指向の数学的活動に関する考察 - 教授学的状況理論の視点から -2014

    • Author(s)
      濱中裕明、加藤久恵
    • Journal Title

      全国数学教育学会誌『数学教育学研究』

      Volume: 第20巻第1号 Pages: 133-142

    • NAID

      130007580531

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23531192
  • [Journal Article] 高校における構造指向の数学的活動に関する考察2013

    • Author(s)
      濱中裕明,加藤久恵
    • Journal Title

      全国数学教育学会誌『数学教育学研究

      Volume: 第19巻第1号 Pages: 27-36

    • NAID

      130007580588

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23531192
  • [Journal Article] A note on Samelson products and mod p cohomology of classifying spaces of the exceptional Lie groups.2010

    • Author(s)
      Hamanaka, Hiroaki, Kono, Akira
    • Journal Title

      Topology Appl. 157

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340016
  • [Journal Article] A note on Samelson products and mod p cohomology of classifying spaces of the exceptional Lie groups2010

    • Author(s)
      H.Hamanaka, A.Kono
    • Journal Title

      Topology Appl. 157

      Pages: 393-400

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340016
  • [Journal Article] Samelson products in Sp(2)2008

    • Author(s)
      Hamanaka Hiroaki ; Kaji Shizuo ; Kono Akira
    • Journal Title

      Topology Appl 155, no11

      Pages: 1207-1212

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340016
  • [Journal Article] Samelson products in Sp(2)2008

    • Author(s)
      濱中 裕明、鍛冶 静雄、河野 明
    • Journal Title

      Topology and its Applications No. 155

      Pages: 1207-1212

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18740032
  • [Journal Article] Samelson products in Sp}(2).2008

    • Author(s)
      Hamanaka, Hiroaki, Kaji, Shizuo;, Kono, Akira
    • Journal Title

      Topology Appl. 155

      Pages: 1207-1212

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340016
  • [Journal Article] Samelson products in Sp(2)2008

    • Author(s)
      濱中裕明、鍛冶静雄、河野明
    • Journal Title

      Topology and its Applications 155

      Pages: 1207-1212

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18740032
  • [Journal Article] Samelson products in Sp (2).2008

    • Author(s)
      H. Hamanaka, S. Kaji, A. Kono
    • Journal Title

      Topology Appl. 155

      Pages: 1207-1212

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340016
  • [Journal Article] On Samelson products in p-localized unitary groups2007

    • Author(s)
      Hiroaki Hamanaka
    • Journal Title

      Topology and its Applications 154-3

      Pages: 573-583

    • Data Source
      KAKENHI-PROJECT-18340016
  • [Journal Article] A note on the Samelson product in π *(SO(2n)) and the group [SO(2n),SO(2n)]2007

    • Author(s)
      濱中 裕明 (共著)
    • Journal Title

      Topology and its Applications 154

      Pages: 567-572

    • Data Source
      KAKENHI-PROJECT-18740032
  • [Journal Article] Homotopy type of gauge groups of SU(3)-bundles overS 62007

    • Author(s)
      Hamanaka Hiroaki ; Kono Akira
    • Journal Title

      Topology Appl 154, no7

      Pages: 1377-1380

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340016
  • [Journal Article] Homotopy type of gauge groups of SV(3)-Bundles over S^62007

    • Author(s)
      Hiroaki Hamanaka, Akira Kono
    • Journal Title

      Topology and its Applications 154-7

      Pages: 1377-1380

    • Data Source
      KAKENHI-PROJECT-18340016
  • [Journal Article] On Samelson product in p-localized unitary groups2007

    • Author(s)
      濱中 裕明
    • Journal Title

      Topology and its Applications No. 154

      Pages: 578-583

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18740032
  • [Journal Article] Nilpotency of unstable K-theory2007

    • Author(s)
      濱中 裕明
    • Journal Title

      Topology and its Applications No. 154

      Pages: 1368-1376

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18740032
  • [Journal Article] Nilpotency of unstable K- theory2007

    • Author(s)
      濱中 裕明
    • Journal Title

      Topology and its Applications 154

      Pages: 1368-1376

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18740032
  • [Journal Article] A note on Somelson product in TT_*(So(2n)) and the group [So(2n), So(2n)]2007

    • Author(s)
      Hiroaki Hamanaka, Akira Kono
    • Journal Title

      Topology and its Applications 154-3

      Pages: 567-572

    • Data Source
      KAKENHI-PROJECT-18340016
  • [Journal Article] A note on the Samelson products in $\pi_*({\rm SO}(2n))$ and the group $[{\rm SO}(2n), {\rm SO}(2n)]$.2007

    • Author(s)
      Hamanaka, Hiroaki, Kono, Akira
    • Journal Title

      Topology Appl. 154

      Pages: 567-572

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340016
  • [Journal Article] Homotopy types of gauge groups of SU(3) over S^62007

    • Author(s)
      H. Hamanaka, A. Kono
    • Journal Title

      Topology and its Applications 154

      Pages: 1377-1380

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340016
  • [Journal Article] On Samelson product in p-localized unitary groups2007

    • Author(s)
      濱中 裕明 (共著)
    • Journal Title

      Topology and its Applications 154

      Pages: 578-583

    • Data Source
      KAKENHI-PROJECT-18740032
  • [Journal Article] A note on Samelson products in \pi *(SO(2n)) and the group [SO(2n),SO(2n)]2007

    • Author(s)
      H. Hamanaka, A. Kono
    • Journal Title

      Toplogy and its applications 3

      Pages: 567-572

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340016
  • [Journal Article] Homotopy type of gauge groups of SU(3)-bundles over S62007

    • Author(s)
      濱中 裕明(共著)
    • Journal Title

      Topology and its Applications 154

      Pages: 1377-1380

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18740032
  • [Journal Article] A note on the Samelson product in p*(SO(2n)) and the group [SO(2n), SO(2n)]2007

    • Author(s)
      濱中 裕明、河野明
    • Journal Title

      Topology and its Applications No. 154

      Pages: 567-572

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18740032
  • [Journal Article] Homotopy type of gauge groups of SU(3)-bundles over S^62007

    • Author(s)
      濱中 裕明、河野明
    • Journal Title

      Topology and its Applications No. 154

      Pages: 1377-1380

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18740032
  • [Journal Article] Homotopy type of gauge groups of ${\rm SU}(3)$-bundles over $S^6$.2007

    • Author(s)
      Hamanaka, Hiroaki, Kono, Akira
    • Journal Title

      Topology Appl. 154

      Pages: 1377-1380

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340016
  • [Journal Article] Self homotopy groups with large nilpotency classes2006

    • Author(s)
      Hamanaka Hiroaki ; Kishimoto Daisuke ; Kono Akira
    • Journal Title

      Topology Appl 153, no14

      Pages: 2425-2429

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340016
  • [Journal Article] Unstable $K^1$-group and homotopy type of certain gauge groups.2006

    • Author(s)
      Hamanaka, Hiroaki, Kono, Akira
    • Journal Title

      Proc. Roy. Soc. Edinburgh Sect. A 136

      Pages: 149-155

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340016
  • [Journal Article] Self homotopy groups with large Nilpotency classes2006

    • Author(s)
      濱中 裕明、岸本大祐、河野明
    • Journal Title

      Topology and its Applications No. 153

      Pages: 2425-2429

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18740032
  • [Journal Article] Unstable K1-group and homotopy type of certain gauge groups2006

    • Author(s)
      濱中 裕明、河野明
    • Journal Title

      Proceedings of the Royal Society of Edinburgh No. 136A

      Pages: 149-155

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18740032
  • [Journal Article] Self homotopy groups with large nilpotency classes.2006

    • Author(s)
      Hamanaka, Hiroaki, Kishimoto, Daisuke, Kono, Akira
    • Journal Title

      Topology Appl. 153

      Pages: 2425-2429

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340016
  • [Journal Article] Self homotopy groups with large Nilpotency classes2006

    • Author(s)
      濱中 裕明 (共著)
    • Journal Title

      Topology and its Applications 153

      Pages: 2425-2429

    • Data Source
      KAKENHI-PROJECT-18740032
  • [Journal Article] Unstable K1-group and homotopy type of certain gauge groups2006

    • Author(s)
      濱中 裕明 (共著)
    • Journal Title

      Proceedings of the Royal Society of Edinburgh 136A

      Pages: 149-155

    • Data Source
      KAKENHI-PROJECT-18740032
  • [Journal Article] Self homotopy group with large nilpotencty class2006

    • Author(s)
      Hiroaki Hamanaka, Daiske Kishimoto, Akira Kono
    • Journal Title

      Topology and its Applications 153-14

      Pages: 2425-2429

    • Data Source
      KAKENHI-PROJECT-18340016
  • [Journal Article] Unstalle K^1-group and homotopy type of certain gauge groups2006

    • Author(s)
      Hiroaki Hamanaka, Akira Kono
    • Journal Title

      Proc. Royal Soc. Edinbruch Sect. A 136-1

      Pages: 149-155

    • Data Source
      KAKENHI-PROJECT-18340016
  • [Journal Article] Adams e-invariant, Toda bracket and [X,U(n)].2004

    • Author(s)
      Hamanaka, Hiroaki
    • Journal Title

      J.Math.Kyoto Univ. 43・4

      Pages: 815-827

    • Data Source
      KAKENHI-PROJECT-15340021
  • [Journal Article] On [X,U(n)] when dim X is 2n+12004

    • Author(s)
      Hamanaka, Hiroaki
    • Journal Title

      J.Math.Kyoto Univ. 44・3

      Pages: 655-667

    • Data Source
      KAKENHI-PROJECT-15340021
  • [Journal Article] An application of unstable K-theory.2004

    • Author(s)
      Hamanaka, Hiroaki, Kono, Akira
    • Journal Title

      J.Math.Kyoto Univ. 44・2

      Pages: 451-456

    • Data Source
      KAKENHI-PROJECT-15340021
  • [Journal Article] Homotopy type of gauge groups of SU(3)-bundles over S^6

    • Author(s)
      Hiroaki Hamanaka, Akira Kono
    • Journal Title

      Topology and its Applications (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340021
  • [Journal Article] Homotopy type of gauge groups of su(3)-bendles over S^6

    • Author(s)
      H.Hamanaka, A.Kono
    • Journal Title

      Topdogy and its applications (掲載予定)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340021
  • [Presentation] 証明の説明的な理解を促す授業実践についての一考察:生徒の獲得する理解の実態と特性に焦点をあてて2023

    • Author(s)
      檜皮賢治・濱中裕明
    • Organizer
      全国数学教育学会第59回研究発表会
    • Data Source
      KAKENHI-PROJECT-19H01668
  • [Presentation] 「必要条件」という概念の存在理由の顕在化:論理概念の高校数学における生息可能性2021

    • Author(s)
      濱中裕明・相馬智紀
    • Organizer
      全国数学教育学会第55回研究発表会
    • Data Source
      KAKENHI-PROJECT-18K02527
  • [Presentation] 数学的な面白さを感じさせる授業について:「説明する証明の理解」を目指した授業実践2021

    • Author(s)
      檜皮賢治・濱中裕明
    • Organizer
      全国数学教育学会第55回研究発表会
    • Data Source
      KAKENHI-PROJECT-19H01668
  • [Presentation] A Possible Pathway of Mathematical Inquiry: How to Calculate the Cube Root of a Given Number by Using a Simple Pocket Calculator?2021

    • Author(s)
      Koji taki, Hiroaki Hamanaka, Takeshi Miyakawa
    • Organizer
      The 14th International Congress on Mathematical Education (ICME-14)
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K20748
  • [Presentation] 「必要条件」という概念の存在理由の顕在化:論理概念の高校数学における生息可能性2021

    • Author(s)
      濱中裕明,相馬智紀
    • Organizer
      全国数学教育学会 第55回研究発表会
    • Data Source
      KAKENHI-PROJECT-23K20748
  • [Presentation] 数学的な面白さを感じさせる授業について:「説明する証明の理解」を目指した授業実践2021

    • Author(s)
      檜皮賢治・濱中裕明
    • Organizer
      全国数学教育学会第55回研究発表会
    • Data Source
      KAKENHI-PROJECT-18K02527
  • [Presentation] Semiotic Character and Issues in the Learning and Teaching of Linear Fuctions in Japan: The influence of Terminology2021

    • Author(s)
      Hiroaki Hamanaka, Masayosi Yoshikawa, Hisae Kato, Mitsunobu Kawauchi
    • Organizer
      The 14th International Congress on Mathematics Education
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K02527
  • [Presentation] 「必要条件」という概念の存在理由の顕在化:論理概念の高校数学における生息可能性2021

    • Author(s)
      濱中裕明・相馬智紀
    • Organizer
      全国数学教育学会第55回研究発表会
    • Data Source
      KAKENHI-PROJECT-19H01668
  • [Presentation] 対数関数の導入授業におけるアクティブ・ラー ニングの実現―教授学的状況理論を用いて―2020

    • Author(s)
      濱中裕明,勝谷紗英
    • Organizer
      全国数学教育学会 第53回研究発表会
    • Data Source
      KAKENHI-PROJECT-18K02527
  • [Presentation] Introducing group theory with its raison d'etre for students2020

    • Author(s)
      Hiroaki Hamanaka, Koji Otaki, Ryoto Hakamata
    • Organizer
      Third conference of the International Network for Didactic Research in University Mathematics
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K02527
  • [Presentation] 一次関数の概念理解についての一考察 ―example space と APOS理論のSchemaの視点から―2019

    • Author(s)
      濱中裕明,川内充延,吉川昌慶,加藤久恵
    • Organizer
      全国数学教育学会 第49回研究発表会
    • Data Source
      KAKENHI-PROJECT-18K02527
  • [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
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H02694
  • [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
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18H01015
  • [Presentation] Generating a raison d'etre of logical concepts in mathematical activity at secondary school: Focusing on necessary/sufficient conditions2018

    • Author(s)
      Hiroaki Hamanaka, Koji Otaki
    • Organizer
      The 6th International Conference on the Anthropological Theory of the Didactic
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H02694
  • [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
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H02694
  • [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
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18H01015
  • [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
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18H01015
  • [Presentation] Generating a raison d'etre of logical concepts in mathematical activity at secondary school: Focusing on necessary/sufficient conditions2018

    • Author(s)
      Hamanaka, H., Otaki, K.
    • Organizer
      the 6th International Conference on the Anthropological Theory of the Didactic
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H03501
  • [Presentation] On the enumeration of Chequered Tilings in Polygons2017

    • Author(s)
      Hiroaki Hamanaka, Takashi Horiyama, Ryuhei Uehara
    • Organizer
      Bridges Waterloo 2017
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H02694
  • [Presentation] 「複素数平面」における「平面上の変換」ッAPOS理論の視点から―2017

    • Author(s)
      濱中裕明,吉川昌慶
    • Organizer
      全国数学教育学会 第46回研究発表会
    • Data Source
      KAKENHI-PROJECT-15H03501
  • [Presentation] On the enumeration of Chequered Tilings in Polygons2017

    • Author(s)
      Hamanaka, H., Horiyama, T., Uehara, R.
    • Organizer
      Bridges Waterloo 2017
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H03501
  • [Presentation] 「複素数平面」における「平面上の変換」-APOS理論の視点から―2017

    • Author(s)
      濱中裕明,吉川昌慶
    • Organizer
      全国数学教育学会 第46回研究発表会
    • Data Source
      KAKENHI-PROJECT-17H02694
  • [Presentation] Curriculum development in the teaching of mathematical proof at the secondary schools in Japan2016

    • Author(s)
      Mizoguchi, T., Iwasaki, H., Kunimune, S., Hamanaka, H., Miyakawa, T., Shinno, Y., Suginomoto, Y. & Otaki, K.
    • Organizer
      13th International Conference on Mathematics Education
    • Place of Presentation
      Universitat Hamburg, Germany
    • Year and Date
      2016-07-29
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H03501
  • [Presentation] 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
    • Organizer
      日本数学教育学会 第3回春期研究大会
    • Place of Presentation
      東京理科大学
    • Year and Date
      2015-06-28
    • Data Source
      KAKENHI-PROJECT-15H03501
  • [Presentation] 高校における構造指向の数学的活動に関する考察2014

    • Author(s)
      濱中裕明、加藤久恵
    • Organizer
      全国数学教育学会 第39回研究発表会(学会奨励賞受賞記念講演)
    • Place of Presentation
      広島大学教育学部
    • Invited
    • Data Source
      KAKENHI-PROJECT-23531192
  • [Presentation] 高校における構造指向の数学的活動に関する考察2014

    • Author(s)
      濱中裕明,加藤久恵
    • Organizer
      全国数学教育学会第39回研究発表会
    • Place of Presentation
      広島大学教育学部
    • Year and Date
      2014-02-01
    • Data Source
      KAKENHI-PROJECT-23531192
  • [Presentation] 高校における構造指向の数学的活動に関する考察―教授学的状況理論の視点から―2013

    • Author(s)
      濱中裕明,加藤久恵
    • Organizer
      全国数学教育学会第38回研究発表会
    • Place of Presentation
      香川大学教育学部
    • Year and Date
      2013-06-23
    • Data Source
      KAKENHI-PROJECT-23531192
  • [Presentation] 高校における構造指向の数学的活動に関する考察 ―教授学的状況理論の視点から―2013

    • Author(s)
      濱中裕明、加藤久恵
    • Organizer
      全国数学教育学会 第38回研究発表会
    • Place of Presentation
      香川大学教育学部
    • Data Source
      KAKENHI-PROJECT-23531192
  • [Presentation] 高校における構造指向の数学的活動に関する考察―多面体に関する授業実践をとおして―2013

    • Author(s)
      濱中裕明,加藤久恵
    • Organizer
      全国数学教育学会第37回研究発表会
    • Place of Presentation
      広島大学教育学部
    • Year and Date
      2013-02-02
    • Data Source
      KAKENHI-PROJECT-23531192
  • [Presentation] 数学的活動を含めた高大連携数学教材開発について2012

    • Author(s)
      濱中裕明,加藤久恵
    • Organizer
      近畿数学教育学会第51回近畿数学教育学会
    • Place of Presentation
      奈良教育大学
    • Year and Date
      2012-02-18
    • Data Source
      KAKENHI-PROJECT-23531192
  • [Presentation] 高校における構造指向の数学的活動について2012

    • Author(s)
      濱中裕明,加藤久恵
    • Organizer
      全国数学教育学会第36回研究発表会
    • Place of Presentation
      岡山大学教育学部
    • Year and Date
      2012-06-24
    • Data Source
      KAKENHI-PROJECT-23531192
  • [Presentation] 数学的活動を含めた高大連携数学教材開発について2012

    • Author(s)
      濱中 裕明、加藤 久恵
    • Organizer
      近畿数学教育学会
    • Place of Presentation
      奈良教育大学
    • Data Source
      KAKENHI-PROJECT-23531192
  • [Presentation] Samelson products in π*(U(n)) in the meta-stable range2008

    • Author(s)
      濱中 裕明
    • Organizer
      ホモトピー論シンポジウム
    • Place of Presentation
      高松
    • Year and Date
      2008-12-06
    • Data Source
      KAKENHI-PROJECT-18740032
  • [Presentation] Samelson products in π*(U(n)) in the meta-stable range2008

    • Author(s)
      濱中裕明
    • Organizer
      ホモトピー論シンポジウム
    • Place of Presentation
      サンポートホール高松(香川)
    • Year and Date
      2008-12-06
    • Data Source
      KAKENHI-PROJECT-18740032
  • [Presentation] p-localized unstable K-theory with nilpotency class 32006

    • Author(s)
      濱中 裕明
    • Organizer
      International Conference on Algebraic Topology
    • Place of Presentation
      中国/河南大学
    • Year and Date
      2006-10-16
    • Data Source
      KAKENHI-PROJECT-18740032
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