NUNOKAWA Kazuhiko 布川和彦

… Alternative Names

布川和彦ヌノカワカズヒコ

Less

Researcher Number	60242468
Other IDs
External Links
Affiliation (Current)	2025: 上越教育大学, 大学院学校教育研究科, 教授
Affiliation (based on the past Project Information) *help	2016 – 2022: 上越教育大学, 大学院学校教育研究科, 教授 2015: 上越教育大学, 学校教育研究科, 教授 2013 – 2015: 上越教育大学, 学校教育研究科(研究院), 教授 2012: 上越教育大学, 学校教育研究科, 教授 2007 – 2011: Joetsu University of Education, 大学院・学校教育研究科, 教授 … More 2006: 上越教育大学, 学校教育学部, 助教授 1999 – 2004: Joetsu University of Education College of Education, Associate Professor, 学校教育学部, 助教授 1997 – 1998: 上越教育大学, 学校教育学部, 講師 1993 – 1996: 上越教育大学, 学校教育学部, 助手 Less
Review Section/Research Field	Principal Investigator Science education / Science education / Basic Section 09080:Science education-related / Education on school subjects and activities / Science education Except Principal Investigator Algebra / Geometry / Science education / 教科教育 / Science education / 解析学
Keywords	Principal Investigator 数学教育 / 算数教育 / 関数 / 数量関係 / 学習過程 / 学習活動系列 / 理解 / 数学的問題解決 / 数と量 / 量と数 … More / パターンの科学 / 分数 / 変量 / 方程式 / 文字式 / 中学校数学 / 小学校算数 / 変数 / Constructivism / Sense Making / Understanding / Learning Process / Mathematics Education / 意味生成 / 意味 / 数学 / ディスコース / 数学的対象 / 中学校 / 教育学 / 思考水準 / 学習過程臨床 / 意識化 / インフォーマルな知識 / 表象 / 乗法的構造 / 割合 / 比例的推論 / 解決過程 / 問題解決方略 / 発見法 / ラカトシュ … More Except Principal Investigator isometric immersion / number field / prehomogeneous vector space / 代数体 / ゼータ関数 / 概均質ベクトル空間 / fundamental theorem for hypersurfaces / anti-de Sitter space-time / ICT環境 / 数学教育 / 科学教育カリキュラム / 中等教育段階 / ICT活用 / 関数カリキュラム / 言語活動 / 創発的モデル化 / カリキュラム開発 / 関数 / clinical curriculum for children's learning / clinical counseling of learning / clinical process of learning / learning and living each other / logic of act of a body / interaction / formation of learning / learning process / 相互行為・相互作用 / 学習過程臨床カリキュラム / 学習臨床カウンセリング / 学習場面臨床学 / 学び合い・生き合う / 身体性 / 相互作用・相互行為 / 学びの成り立ち / 学びの過程 / ideal class group / 概均的ベクトル空間 / イデアル類群 / zeta function / fumdamcntal thsoren for hybosinfres / anti-de Sitter Space-time / uometsic umumestion / hyper Kahler structure / Sasakian 3-structure / guaternionic Kahler manifold / 小中の移行期 / 算数・数学科 / 科学教育 / 教室談話 / 数学的対象 / 一次関数 / 教授・学習軌道 / 算数・数学教育 / デザイン研究 / 学習・教授軌道 / Putnamの不等式 / スペクトル / 線形作用素 / ヒルベルト空間 / リーマン-ヒルベルト問題 / relative nullity fobation / nigid / deformable / hyperbolic space form Less

Development of Curriculum for Learning Fractions based on the Idea of Mathematics as a Science of PatternsPrincipal Investigator
- Principal Investigator
  
  Nunokawa Kazuhiko
- Project Period (FY)
  2020 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 09080:Science education-related
- Research Institution
  Joetsu University of Education
Developing and assessing a curriculum on function fnction with special attention to language and ICT environments
- Principal Investigator
  
  Otani Minoru
- Project Period (FY)
  2016 – 2019
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Science education
- Research Institution
  Kanazawa University
Development of a Curriculum Bridging Elementary and Secondary Mathematics on the Basis of the Variable ConceptPrincipal Investigator
- Principal Investigator
  
  Nunokawa Kazuhiko
- Project Period (FY)
  2016 – 2018
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Science education
- Research Institution
  Joetsu University of Education
Learning activities facilitating students' constructions of objects of thought in school mathematics: A case of learning on covariational and functional relationsPrincipal Investigator
- Principal Investigator
  
  Nunokawa Kazuhiko
- Project Period (FY)
  2013 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Science education
- Research Institution
  Joetsu University of Education
Development and Assessment of Learning-Teaching Trajectory in Mathematics during Transitional Grades
- Principal Investigator
  
  Ohtani Minoru
- Project Period (FY)
  2012 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Science education
- Research Institution
  Kanazawa University
A Study on Mathematics Curriculum for Learning Functions Which Takes Account of the Articulation between Elementary and Secondary Schools and of the Applications of FunctionsPrincipal Investigator
- Principal Investigator
  
  NUNOKAWA Kazuhiko
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Education on school subjects and activities
- Research Institution
  Joetsu University of Education
Development of Mathematical Learning Activities for 4th, 5th, and 6th Graders Based on Proportional Ideas and ReasoningPrincipal Investigator
- Principal Investigator
  
  NUNOKAWA Kazuhiko
- Project Period (FY)
  2006 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Science education
- Research Institution
  Joetsu University of Education
A study on learning mathematics from the viewpoint of sense makingPrincipal Investigator
- Principal Investigator
  
  NUNOKAWA Kazuhiko
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Science education
- Research Institution
  Joetsu University of Education
General study of educational practices based on clinical learning curriculum corresponding to a process of children's learning
- Principal Investigator
  
  MATSUMOTO Takeyoshi, 西野範夫
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  教科教育
- Research Institution
  Joetsu University of Education
Investigation of prehomogeneous vector spaces and ideal class groups of algebraic number fields
- Principal Investigator
  
  NAKAGAWA Jin
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Joetsu University of Education
Investigation of zeta functions associated with prehomogeneous vector spaces
- Principal Investigator
  
  NAKAGAWA Jin
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Joetsu University of Education
Submanifolds in Hyperbolic, Space
- Principal Investigator
  
  MORI Hiroshi
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Joetsu University of Education
数学的問題解決における活動誘発型間の効果に関する実証的研究Principal Investigator
- Principal Investigator
  
  布川和彦
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Science education
- Research Institution
  Joetsu University of Education
解析学におけるR;emann-Hilbert問題の代数的・幾何学的研究
- Principal Investigator
  
  長宗雄
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Joetsu University of Education
双曲的空間内の部分多様体についての研究
- Principal Investigator
  
  MORI Hiroshi
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Joetsu University of Education
科学哲学を視点とする数学的問題解決の創造的側面の実証的モデル構築Principal Investigator
- Principal Investigator
  
  布川和彦
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Science education
- Research Institution
  Joetsu University of Education

[Book] 生徒の姿から指導を考える2016
- Author(s)
  布川和彦
- Total Pages
  128
- Publisher
  学校図書
- Data Source
  KAKENHI-PROJECT-25350190
[Journal Article] 数としての分数導入への試論2023
- Author(s)
  布川和彦
- Journal Title
  
  上越教育大学研究紀要
  
  Volume: 43
- Open Access
- Data Source
  KAKENHI-PROJECT-20K03271
[Journal Article] 分数が明示されない文章題における小学６年生の解決の様相2023
- Author(s)
  布川和彦
- Journal Title
  
  上越数学教育研究
  
  Volume: 38 Pages: 1-10
- Open Access
- Data Source
  KAKENHI-PROJECT-20K03271
[Journal Article] 小学校第５学年の分数の授業と数への移行：経験豊かな教師による授業中の手立てを参考に2022
- Author(s)
  布川和彦
- Journal Title
  
  上越数学教育研究
  
  Volume: 37 Pages: 1-12
- Open Access
- Data Source
  KAKENHI-PROJECT-20K03271
[Journal Article] 分数を数として語り続けること2022
- Author(s)
  布川和彦
- Journal Title
  
  初等教育資料
  
  Volume: 1025 Pages: 80-83
- Data Source
  KAKENHI-PROJECT-20K03271
[Journal Article] 「量分数」の再検討：「測定値としての分数」を視点として2022
- Author(s)
  布川和彦
- Journal Title
  
  日本数学教育学会誌
  
  Volume: 104 (2) Pages: 2-13
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03271
[Journal Article] 分数学習のための基本枠組みの試論：変換としての分数とそのカプセル化2021
- Author(s)
  布川和彦
- Journal Title
  
  上越数学教育研究
  
  Volume: 36 Pages: 1-16
- Open Access
- Data Source
  KAKENHI-PROJECT-20K03271
[Journal Article] 分数の授業に見られるディスコースの特徴2021
- Author(s)
  布川和彦
- Journal Title
  
  日本数学教育学会秋期研究大会発表集録(論文発表の部)
  
  Volume: 54 Pages: 25-32
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03271
[Journal Article] 量から数への移行の観点からの自然数と分数の学習の比較2021
- Author(s)
  布川和彦
- Journal Title
  
  上越教育大学研究紀要
  
  Volume: 40 (2) Pages: 33-44
- NAID
  120007028925
- Open Access
- Data Source
  KAKENHI-PROJECT-20K03271
[Journal Article] The Use of Quantities in Lessons on Decimal Fractions2021
- Author(s)
  Kazuhiko Nunokawa
- Journal Title
  
  Proceedings of the 44th Conference of the International Group for the Psychology of Mathematics Education
  
  Volume: 3 Pages: 400-409
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03271
[Journal Article] Collaborative Design of Learning Environment that Fosters Reification of a Mathematical Object: The Case of Function2020
- Author(s)
  Ohtani, M., Nakamura, M., Kanno, Y., Nunokawa, K., & Hino, K.
- Journal Title
  
  Proceedings of ICMI Study 25: Teachers of Mathematics Working and Learning in Collaborative Groups
  
  Volume: 1 Pages: 660-667
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-16H03056
[Journal Article] 中学校数学における変数の定義の特徴：過去の教科書での定義および数学での定義による相対化2020
- Author(s)
  布川和彦
- Journal Title
  
  上越教育大学研究紀要
  
  Volume: 39 Pages: 321-331
- NAID
  120006800803
- Data Source
  KAKENHI-PROJECT-16H03056
[Journal Article] 数学=パターンの科学の考えに基づく授業デザイン：中学校１年「比例と反比例」の場合2019
- Author(s)
  布川和彦、青柳潤
- Journal Title
  
  上越数学教育研究
  
  Volume: 34 Pages: 1-12
- Open Access
- Data Source
  KAKENHI-PROJECT-16K00954
[Journal Article] メタレベルと対象レベルの観点から見た学校数学における文字の利用2019
- Author(s)
  布川和彦
- Journal Title
  
  上越教育大学研究紀要
  
  Volume: 38(2) Pages: 309-320
- NAID
  120006579495
- Data Source
  KAKENHI-PROJECT-16H03056
[Journal Article] 数学＝パターンの科学を視点とした比例・反比例の学習における生徒の反応2019
- Author(s)
  布川和彦, 青柳潤
- Journal Title
  
  日本数学教育学会第52回秋期研究大会発表集録
  
  Volume: 52 Pages: 337-338
- Data Source
  KAKENHI-PROJECT-16H03056
[Journal Article] 数学=パターンの科学の考えに基づく授業デザイン：中学校１年「比例と反比例」の場合2019
- Author(s)
  布川和彦, 青柳潤
- Journal Title
  
  上越数学教育研究
  
  Volume: 34 Pages: 1-12
- Data Source
  KAKENHI-PROJECT-16H03056
[Journal Article] メタレベルと対象レベルの観点から見た学校数学における文字の利用2019
- Author(s)
  布川和彦
- Journal Title
  
  上越教育大学研究紀要
  
  Volume: 38 (2) Pages: 309-320
- NAID
  120006579495
- Open Access
- Data Source
  KAKENHI-PROJECT-16K00954
[Journal Article] １次方程式の学習に見られる変数的な扱い2018
- Author(s)
  布川和彦、青柳潤
- Journal Title
  
  上越数学教育研究
  
  Volume: 33 Pages: 1-10
- Open Access
- Data Source
  KAKENHI-PROJECT-16H03056
[Journal Article] １次方程式の学習に見られる変数的な扱い2018
- Author(s)
  布川和彦, 青柳潤
- Journal Title
  
  上越数学教育研究
  
  Volume: 33 Pages: 1-10
- Open Access
- Data Source
  KAKENHI-PROJECT-16K00954
[Journal Article] 具体的場面の数量関係と学習の対象としての関数2018
- Author(s)
  布川和彦
- Journal Title
  
  日本数学教育学会春期研究大会論文集
  
  Volume: 6 Pages: 105-112
- NAID
  40022277773
- Data Source
  KAKENHI-PROJECT-16K00954
[Journal Article] 単位量当たりの大きさの量的側面に関わる学習活動2017
- Author(s)
  布川和彦, 磯野正人
- Journal Title
  
  数学教育学論究(日本数学教育学会)
  
  Volume: 99 Pages: 25-32
- NAID
  130007939279
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K00954
[Journal Article] 単位量当たりの大きさの量的側面に関わる学習活動2017
- Author(s)
  布川和彦, 磯野正人
- Journal Title
  
  数学教育学論究
  
  Volume: 99 Pages: 23-32
- NAID
  130007939279
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-16H03056
[Journal Article] 昭和40年代の中学校教科書に見られる方程式と関数とを関連づける記述について2017
- Author(s)
  布川和彦
- Journal Title
  
  上越数学教育研究
  
  Volume: 32 Pages: 1-10
- NAID
  120006408057
- Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-16K00954
[Journal Article] 中学校３年生により考案された関数の活用の事例：その特徴と生徒のもつ関数のイメージ2016
- Author(s)
  布川和彦, 杉本知之
- Journal Title
  
  上越数学教育研究
  
  Volume: 31 Pages: 1-12
- NAID
  120006367163
- Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-25350190
[Journal Article] 中学校３年生により考案された関数の活用の事例：その特徴と生徒のもつ関数のイメージ2016
- Author(s)
  布川和彦, 杉本知之
- Journal Title
  
  上越数学教育研究
  
  Volume: 31 Pages: 1-12
- NAID
  120006367163
- Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-25350190
[Journal Article] 「数学=パターンの科学」の考えを視点とした算数から数学への移行についての考察2016
- Author(s)
  布川和彦
- Journal Title
  
  日本数学教育学会誌
  
  Volume: 98 Pages: 3-14
- NAID
  130007936102
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25350190
[Journal Article] 対象把握のためのディスコースと学習のパラドクス2016
- Author(s)
  布川和彦
- Journal Title
  
  日本数学教育学会春期研究大会論文集
  
  Volume: 4 Pages: 49-56
- NAID
  40022277817
- Data Source
  KAKENHI-PROJECT-25350190
[Journal Article] 昭和40年代の中学校教科書に見られる方程式と関数とを関連づける記述について2016
- Author(s)
  布川和彦
- Journal Title
  
  上越数学教育研究
  
  Volume: 32 Pages: 1-10
- NAID
  120006408057
- Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-16H03056
[Journal Article] １次関数のイメージの構成に影響を与える要因：中学生のグループ活動の分析を手がかりに2015
- Author(s)
  布川和彦, 杉本知之
- Journal Title
  
  数学教育学論究(日本数学教育学会)
  
  Volume: 97 Pages: 161-168
- NAID
  110010007016
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25350190
[Journal Article] 関数の対象としての成立を視野に入れた教科書の試案2015
- Author(s)
  布川和彦
- Journal Title
  
  上越数学教育研究
  
  Volume: 30 Pages: 1-12
- NAID
  120005703228
- Data Source
  KAKENHI-PROJECT-24300267
[Journal Article] 関数の対象としての成立を視野に入れた教科書の試案2015
- Author(s)
  布川和彦
- Journal Title
  
  上越数学教育研究, 30, 1-12.
  
  Volume: 30 Pages: 1-12
- NAID
  120005703228
- Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-25350190
[Journal Article] Classroom Discourse that Affects Reification of a Mathematical Object: The Case of Function2015
- Author(s)
  Nunokawa, K., Ohtani, M., & Hiko, K.
- Journal Title
  
  Proceedings of the 7th ICMI-East Asia Regional Conference on Mathematics Education
  
  Volume: 7 Pages: 425-432
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25350190
[Journal Article] Classroom discourse that affects reification of a mathematical object: The case of function2015
- Author(s)
  Nunokawa, K.,　Ohtani, M., Hiko, K.
- Journal Title
  
  Vostro Yu, C. (Ed.). In pursuit of quality mathematics education for all: Proceedings
  
  Volume: ７ Pages: 425-432
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24300267
[Journal Article] Another Perspective for Discussing Students' Understanding of Mathematics: Construction of Objects of Thought2015
- Author(s)
  Nunokawa, K.
- Journal Title
  
  A. M. Columbus (Ed.), Advances in psychology research
  
  Volume: 105 Pages: 129-150
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25350190
[Journal Article] 中学校数学における関数の対象としての構成：教科書の考察を中心に2014
- Author(s)
  布川和彦
- Journal Title
  
  上越教育大学研究紀要
  
  Volume: 33 Pages: 85-96
- NAID
  120005405401
- Data Source
  KAKENHI-PROJECT-24300267
[Journal Article] 中学校数学における関数の対象としての構成(2)：教科書の利用場面に焦点を当てて2014
- Author(s)
  布川和彦
- Journal Title
  
  上越数学教育研究
  
  Volume: 29 Pages: 1-12
- NAID
  120005428772
- Data Source
  KAKENHI-PROJECT-24300267
[Journal Article] 中学校数学における関数の対象としての構成 : 教科書の考察を中心に2014
- Author(s)
  布川和彦
- Journal Title
  
  上越教育大学研究紀要
  
  Volume: 33 Pages: 85-96
- NAID
  120005405401
- Data Source
  KAKENHI-PROJECT-25350190
[Journal Article] 中学校数学における関数の対象としての構成(2)：教科書の利用場面に焦点を当てて2014
- Author(s)
  布川和彦
- Journal Title
  
  上越数学教育研究
  
  Volume: 29 Pages: 1-12
- NAID
  120005428772
- Data Source
  KAKENHI-PROJECT-25350190
[Journal Article] 「数学 : パターンの科学」の捉え方と学校数学の関係の検討2013
- Author(s)
  布川和彦
- Journal Title
  
  上越教育大学研究紀要
  
  Volume: 第32号 Pages: 169-180
- NAID
  120005265691
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24300267
[Journal Article] 比の学習における小学生による説明と式の利用.2013
- Author(s)
  布川和彦
- Journal Title
  
  上越数学教育研究
  
  Volume: 第28号 Pages: 1-12
- NAID
  120005265721
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24300267
[Journal Article] 関数的内容の学習におけるきまりの関連づけと対象の構成(2)2012
- Author(s)
  布川和彦
- Journal Title
  
  上越数学教育研究
  
  Volume: 27 Pages: 1-12
- NAID
  120004026877
- URL
  http://www.juen.ac.jp/g_katei/nunokawa/kaita/JJME27.pdf
- Data Source
  KAKENHI-PROJECT-21530921
[Journal Article] 関数的内容の学習におけるきまりの関連づけと対象の構成2011
- Author(s)
  布川和彦
- Journal Title
  
  上越数学教育研究
  
  Volume: 26 Pages: 1-12
- NAID
  120002910152
- URL
  http://www.juen.ac.jp/g_katei/nunokawa/kaita/JJME26.pdf
- Data Source
  KAKENHI-PROJECT-21530921
[Journal Article] 数量関係の学習と背後の現象や共変性の意識化2010
- Author(s)
  布川和彦
- Journal Title
  
  上越数学教育研究
  
  Volume: 25 Pages: 1-10
- NAID
  120002446313
- URL
  http://www.juen.ac.jp/g_katei/nunokawa/kaita/JJME25.pdf
- Data Source
  KAKENHI-PROJECT-21530921
[Journal Article] 数量関係の学習と背後の現象や共変性の意識化.2010
- Author(s)
  布川和彦
- Journal Title
  
  上越数学教育研究 25
  
  Pages: 1-10
- NAID
  120002446313
- Data Source
  KAKENHI-PROJECT-21530921
[Journal Article] 比例的推論を利用した割合単元の構想と児童の学習過程2009
- Author(s)
  布川和彦
- Journal Title
  
  上越数学教育研究 24
  
  Pages: 1-12
- NAID
  120001909155
- Data Source
  KAKENHI-PROJECT-18500657
[Journal Article] 比例的推論を利用した割合単元の構想と児童の学習過程2009
- Author(s)
  布川和彦
- Journal Title
  
  上越数学教育研究第24号
  
  Pages: 1-12
- NAID
  120001909155
- Data Source
  KAKENHI-PROJECT-18500657
[Journal Article] 算数の授業における小学校6年生の問題解決過程についての一考察初期の意味づけから離れる過程に着目して2008
- Author(s)
  布川和彦
- Journal Title
  
  数学教育学論究第90号
  
  Pages: 19-39
- NAID
  130008018046
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18500657
[Journal Article] 小学校3年生による比例的推論の課題の解決 : 下位単位の利用に焦点を当てて2007
- Author(s)
  布川和彦
- Journal Title
  
  上越数学教育研究第22号
  
  Pages: 1-10
- NAID
  110006351133
- Data Source
  KAKENHI-PROJECT-18500657
[Journal Article] 小学校3年生による比例的推論の課題の解決 : 下位単位の利用に焦点を当てて2007
- Author(s)
  布川和彦
- Journal Title
  
  上越数学教育研究 22
  
  Pages: 1-10
- NAID
  110006351133
- Data Source
  KAKENHI-PROJECT-18500657
[Journal Article] Using drawings and generating information in mathematical problem solving2006
- Author(s)
  Kazuhiko Nunokawa
- Journal Title
  
  Eurasia Journal of Mathematics, Science and Technology Education 2(3)
  
  Pages: 33-54
- Data Source
  KAKENHI-PROJECT-18500657
[Journal Article] 子どもの学習過程に基づく支援の構想:5年生「割合」単元における学習過程の分析を通して2005
- Author(s)
  布川和彦
- Journal Title
  
  上越数学教育研究 20
  
  Pages: 11-20
- NAID
  110006284958
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14580186
[Journal Article] Designing teachers' supports based on children's learning processes : Through the analysis of learning process of one children in the unit of proportion2005
- Author(s)
  Kazuhiko Nunokawa
- Journal Title
  
  Joetsu Journal of Mathematics Education 20
  
  Pages: 11-20
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14580186
[Journal Article] Researches on problem solving processes and investigation of learning processes2005
- Author(s)
  Kazuhiko Nunokawa
- Journal Title
  
  Journal of Japan Society of Mathematical Education 87 (in press)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14580186
[Journal Article] 問題解決の研究と学習過程の探求:学習過程臨床という視点に向けて2005
- Author(s)
  布川和彦
- Journal Title
  
  日本数学教育学会誌 (発表予定)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14580186
[Journal Article] Solvers' making of drawings in mathematical problem solving and their understanding of the problem situations2004
- Author(s)
  Kazuhiko Nunokawa
- Journal Title
  
  International Journal of Mathematical Education in Science and Technology 35
  
  Pages: 173-183
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14580186
[Journal Article] Students' appropriation process of mathematical ideas and their creation of hybrids of old and new ides2004
- Author(s)
  K.Nunokawa, M.Kuwayama
- Journal Title
  
  International Journal of Science and Mathematics Education 1(3)
  
  Pages: 283-309
- Data Source
  KAKENHI-PROJECT-14580186
[Journal Article] Salvers' making of drawings in mathematical problem solving and their understanding of the problem situations2004
- Author(s)
  Kazuhiko Nunokawa
- Journal Title
  
  International Journal of Mathematical Education in Science and Technology 35
  
  Pages: 173-183
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14580186
[Journal Article] Students' appropriation process of mathematical ideas and their creation of hybrids of old and new ides2004
- Author(s)
  Kazuhiko Nunokawa, Masashi Kuwayama
- Journal Title
  
  International Journal of Science and Mathematics Education 1
  
  Pages: 283-309
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14580186
[Journal Article] Solvers' making of drawings in mathematical problem solving and their understanding of the problem situations2004
- Author(s)
  K.Nunokawa
- Journal Title
  
  International Journal of Mathematical Education in Science and Technology 35(2)
  
  Pages: 173-183
- Data Source
  KAKENHI-PROJECT-14580186
[Journal Article] 数量関係の学習における小学生の既有知識による意味づけ2004
- Author(s)
  布川和彦
- Journal Title
  
  日本数学教育学会論文発表会論文集 37
  
  Pages: 665-666
- Data Source
  KAKENHI-PROJECT-14580186
[Journal Article] What students do when hearing others explaining2004
- Author(s)
  Kazuhiko Nunokawa, Satoshi Ohzeki
- Journal Title
  
  Proceedings of the 28th Conference of the International Group for the Psychology of Mathematics Education 3
  
  Pages: 449-456
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14580186
[Journal Article] What students do when hearing others explaining2004
- Author(s)
  K.Nunokawa, S.Ohzeki
- Journal Title
  
  Proceedings of the 28th Conference of the International Group for the Psychology of Mathematics Education 3
  
  Pages: 449-456
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14580186
[Journal Article] Students' appropriation process of mathematical ideas and their creation of hybrids of old and new ides2004
- Author(s)
  K.Nunokawa, M.Kuwayama
- Journal Title
  
  International Journal of Science and Mathematics Education 1
  
  Pages: 283-309
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14580186
[Journal Article] 算数の授業における個々の子どもの学びの成り立ち2003
- Author(s)
  布川和彦
- Journal Title
  
  上越数学教育研究 18
  
  Pages: 11-22
- NAID
  110000088002
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14580186
[Journal Article] Learning processes of individual children in mathematics classrooms2003
- Author(s)
  Kazuhiko Nunokawa
- Journal Title
  
  Joetsu Journal of Mathematics Education 18
  
  Pages: 11-22
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14580186
[Journal Article] 問題解決の研究と学習過程の探求:学習過程臨床という視点に向けて
- Author(s)
  布川和彦
- Journal Title
  
  日本数学教育学会誌 (印刷中)
- Data Source
  KAKENHI-PROJECT-14580186
[Presentation] 分数を含む文章題における小学校６年生の解決の様相2023
- Author(s)
  布川和彦
- Organizer
  日本数学教育学会
- Data Source
  KAKENHI-PROJECT-20K03271
[Presentation] 分数の授業に見られるディスコースの特徴2021
- Author(s)
  布川和彦
- Organizer
  日本数学教育学会
- Data Source
  KAKENHI-PROJECT-20K03271
[Presentation] Collaborative Design of Learning Environment that Fosters Reification of a Mathematical Object: The Case of Function2020
- Author(s)
  Ohtani, M., Nakamura, M., Kanno, Y., Nunokawa, K., & Hino, K.
- Organizer
  ICMI Study 25: Teachers of Mathematics Working and Learning in Collaborative Groups
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H03056
[Presentation] 中学校の授業における変数に関わる経験2018
- Author(s)
  布川和彦
- Organizer
  日本数学教育学会第51回秋期研究大会研究集録
- Data Source
  KAKENHI-PROJECT-16H03056
[Presentation] 具体的場面の数量関係と学習の対象としての関数2018
- Author(s)
  布川和彦
- Organizer
  日本数学教育学会
- Data Source
  KAKENHI-PROJECT-16K00954
[Presentation] 中学校の授業における変数に関わる経験：変数導入と比例の授業の考察から2018
- Author(s)
  布川和彦、青柳潤
- Organizer
  日本数学教育学会
- Data Source
  KAKENHI-PROJECT-16K00954
[Presentation] 単位量当たりの大きさの量的側面に関わる学習活動2017
- Author(s)
  布川和彦, 磯野正人
- Organizer
  日本数学教育学会
- Data Source
  KAKENHI-PROJECT-16K00954
[Presentation] Objects of Thought in Learning Mathematics at Elementary Schools2017
- Author(s)
  Kazuhiko Nunokawa
- Organizer
  International Conference on Technology and Mathematics Education and Workshop of Mathematics Teaching
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K00954
[Presentation] 対象把握のためのディスコースと学習のパラドックス2016
- Author(s)
  布川和彦
- Organizer
  日本数学教育学会第４会春季研究大会論文集
- Place of Presentation
  埼玉大学
- Year and Date
  2016-06-12
- Data Source
  KAKENHI-PROJECT-24300267
[Presentation] Bridging Students’ Ideas and Lessons’ Goals2016
- Author(s)
  Nunokawa, K.
- Organizer
  13th International Congress on Mathematics Education
- Place of Presentation
  Universitat Hamburg
- Year and Date
  2016-07-25
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25350190
[Presentation] 対象把握のためのディスコースと学習のパラドクス2016
- Author(s)
  布川和彦
- Organizer
  日本数学教育学会
- Place of Presentation
  埼玉大学
- Year and Date
  2016-06-12
- Data Source
  KAKENHI-PROJECT-25350190
[Presentation] 対象把握のためのディスコースと学習のパラドックス2016
- Author(s)
  布川和彦
- Organizer
  日本数学教育学会第４回春季大会論文集
- Place of Presentation
  埼玉大学（埼玉県さいたま市）
- Data Source
  KAKENHI-PROJECT-16H03056
[Presentation] Classroom Discourse that Affects Reification of a Mathematical Object: The Case of Function.2015
- Author(s)
  Nunokawa, K., Ohtani, M., & Hiko, K.
- Organizer
  ICMI-East Asia Regional Conference on Mathematics Education
- Place of Presentation
  Waterfront Hotel, Cebu City, Philippines
- Year and Date
  2015-05-13
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25350190
[Presentation] １次関数のイメージの構成に影響を与える要因：中学生のグループ活動の分析を手がかりに2015
- Author(s)
  布川和彦, 杉本知之
- Organizer
  日本数学教育学会
- Place of Presentation
  信州大学
- Year and Date
  2015-11-08
- Data Source
  KAKENHI-PROJECT-25350190
[Presentation] 関数の学習における対象の成立に関わる一考察2014
- Author(s)
  布川和彦
- Organizer
  日本数学教育学会
- Place of Presentation
  熊本大学
- Year and Date
  2014-11-08
- Data Source
  KAKENHI-PROJECT-25350190
[Presentation] グラフの全体的特徴に関わる4年生の学習2011
- Author(s)
  布川和彦
- Organizer
  日本数学教育学会
- Place of Presentation
  上越教育大学
- Year and Date
  2011-11-13
- Data Source
  KAKENHI-PROJECT-21530921
[Presentation] 関数的見方と共変的見方に関する一考察2010
- Author(s)
  布川和彦
- Organizer
  日本数学教育学会
- Place of Presentation
  宮崎大学
- Year and Date
  2010-11-13
- Data Source
  KAKENHI-PROJECT-21530921
[Presentation] Operating on and understanding of problem situations in proving2008
- Author(s)
  布川和彦
- Organizer
  International Congress on Mathematical Education
- Place of Presentation
  Universidad Autonoma de Nuevo Leon
- Year and Date
  2008-07-12
- Data Source
  KAKENHI-PROJECT-18500657
[Presentation] 比例的推論を利用した割合の導入の試み2008
- Author(s)
  布川和彦
- Organizer
  日本数学教育学会
- Place of Presentation
  筑波大学
- Year and Date
  2008-11-02
- Data Source
  KAKENHI-PROJECT-18500657
[Presentation] Operating on and understanding of problem situations in proving2008
- Author(s)
  Nunokawa, K. & Fukuzawa, T
- Organizer
  International Congress on Mathematical Education
- Place of Presentation
  Universidad Autonoma de Nuevo Leon, Mexico
- Year and Date
  2008-07-12
- Data Source
  KAKENHI-PROJECT-18500657
[Presentation] Explanations in mathematical problem solving2006
- Author(s)
  Nunokawa, K
- Organizer
  The International Conference "Explanation and Proof in Mathematics : Philosophical and Educational Perspectives"
- Place of Presentation
  Essen, Germany
- Year and Date
  2006-11-03
- Data Source
  KAKENHI-PROJECT-18500657
[Presentation] Classroom discourse that affects reification of a mathematical object: The case of function
- Author(s)
  Nunokawa, K., Ohtani, M., Hino, K.
- Organizer
  The 7th ICMI-East Asia Regional Conferences in Mathematics Education
- Place of Presentation
  Waterfront Hotel （セブ・フィリピン）
- Year and Date
  2015-05-11 – 2015-05-16
- Data Source
  KAKENHI-PROJECT-24300267
[Presentation] ディスコースを視点とした数学的対象の構成：一次関数のデザイン実験の試み
- Author(s)
  大谷実、布川和彦、日野圭子、漢野有美子
- Organizer
  日本数学教育学会第47回秋季研究大会
- Place of Presentation
  熊本大学（熊本県・熊本市）
- Year and Date
  2014-11-08 – 2014-11-09
- Data Source
  KAKENHI-PROJECT-24300267

1. NAKAGAWA Jin (30183883)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
2. MIZOKAMI Takemi (90044445)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
3. MORI Hiroshi (00042185)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
4. Ohtani Minoru (50241758)

# of Collaborated Projects: 2 results

# of Collaborated Products: 5 results
5. HINO Keiko (70272143)

# of Collaborated Projects: 2 results

# of Collaborated Products: 4 results
6. IWASAKI Hiroshi (80251867)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
7. OKAZAKI Masakazu (40303193)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
8. MATSUMOTO Takeyoshi (90199878)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
9. 手島勝朗 (70236967)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
10. KUMAGAI Kohichi (80225218)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
11. SATO Kimiharu (60113669)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
12. UENO Naoki (40124177)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. MORO Yuji (50157939)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
14. NISHIZAKA Aug (80208173)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
15. 長宗雄 (10091620)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
16. 田中博 (10033846)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. 高橋等 (80293273)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
18. 西野範夫 (50121520)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
19. 伊藤伸也 (10570434)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
20. SUGIMOTO TOMOYUKI

# of Collaborated Projects: 1 results

# of Collaborated Products: 4 results
21. Isono Masato

# of Collaborated Projects: 1 results

# of Collaborated Products: 2 results
22. Aoyagi Jun

# of Collaborated Projects: 1 results

# of Collaborated Products: 3 results

NUNOKAWA Kazuhiko 布川 和彦

布川 和彦 ヌノカワ カズヒコ

Research Projects

Research Products

Co-Researchers

Development of Curriculum for Learning Fractions based on the Idea of Mathematics as a Science of PatternsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Development of a Curriculum Bridging Elementary and Secondary Mathematics on the Basis of the Variable ConceptPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Learning activities facilitating students' constructions of objects of thought in school mathematics: A case of learning on covariational and functional relationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

A Study on Mathematics Curriculum for Learning Functions Which Takes Account of the Articulation between Elementary and Secondary Schools and of the Applications of FunctionsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Development of Mathematical Learning Activities for 4th, 5th, and 6th Graders Based on Proportional Ideas and ReasoningPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

A study on learning mathematics from the viewpoint of sense makingPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

数学的問題解決における活動誘発型間の効果に関する実証的研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

NUNOKAWA Kazuhiko 布川和彦

布川和彦ヌノカワカズヒコ