NUNOKAWA KAZUHIKO
| Joetsu University of Education | Professor ◎ |
| Natural Science Education (mathematics) Mathematics Education | Professor ◎ |
Researcher Information
Career
Research activity information
Paper
- 割合の指導に関わる諸問題
布川和彦
上越数学教育研究, Mar. 2024
Lead, 39, 1, 14 - 算数科における数と計算および数量関係の学習内容の整理
布川和彦
上越教育大学教職大学院研究紀要, Feb. 2024
Lead, 11, 195, 205 - 数としての分数導入への試論
布川和彦
上越教育大学研究紀要, Sep. 2023
Lead, 43, 107, 116 - 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
布川和彦
上越数学教育研究, Mar. 2022
37, 1, 12 - 「量分数」の再検討：「測定値としての分数」を視点として
布川和彦
日本数学教育学会誌, Feb. 2022, Reviewed
104(2), 2, 2, 13 - 分数の授業に見られるディスコースの特徴
布川和彦
日本数学教育学会第54回秋期研究大会発表集録・論文発表の部, Oct. 2021, Reviewed
25, 32 - The Use of Quantities in Lessons on Decimal Fractions
Kazuhiko Nunokawa
Proceedings of the 44th Conference of the International Group for the Psychology of Mathematics Education, Jul. 2021, Reviewed
3, 400, 409 - 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
布川和彦
上越教育大学研究紀要, Mar. 2020
Lead, 39(2), 2, 321, 331 - ディスコースの観点からの算数の授業の検討：小学校２年「分数」の場合
布川和彦; 笠井将人
上越数学教育研究, Mar. 2020
Lead, 35, 29, 44 - Descriptions of Patterns and Objectifications of Patterns in Learning Fractions in Textbooks
Kazuhiko Nunokawa
Journal of Japan Society of Mathematical Education, Dec. 2019, Reviewed
Lead, 101(12), 12, 2, 15 - 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
布川 和彦; 青柳 潤
上越数学教育研究, Mar. 2019
34, 1, 12 - 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
布川 和彦
上越教育大学研究紀要, Feb. 2019
38(2), 2, 309, 320 - 具体的場面の数量関係と学習の対象としての関数
布川 和彦
日本数学教育学会春期研究大会論文集, Jun. 2018, Invited
6, 105, 112 - １次方程式の学習に見られる変数的な扱い
布川 和彦; 青柳 潤
上越数学教育研究, Mar. 2018
33, 1, 10 - 単位量当たりの大きさの量的側面に関わる学習活動
布川 和彦; 磯野 正人
数学教育学論究, Nov. 2017, Reviewed
99, 25, 32 - 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
布川 和彦
上越数学教育研究, Mar. 2017
32, 1, 10 - 対象把握のためのディスコースと学習のパラドクス
布川 和彦
日本数学教育学会春期研究大会論文集, May 2016, Invited
4, 49, 56 - Ideas for a Seamless Transition of Mathematics Teaching and Learning from the Elementary to the Secondary Grades : From the Viewpoint of "Mathematics as Science of Patterns"
布川 和彦
日本数学教育学会誌, Apr. 2016, Reviewed
98(4), 4, 3, 14 - Difficulties for Constructing an Image of Linear Functions : On the Basis of the Analysis of a 8th Grade Students' Group Activity
NUNOKAWA Kazuhiko; SUGIMOTO Tomoyuki
Journal of Japan Society of Mathematical Education, Nov. 2015, Reviewed
97, 161, 168 - Classroom discourse that affects reification of a mathematical object: The case of function
NUNOKAWA Kazuhiko
Proceedings of the 7th ICMI-East Asia Regional Conference on Mathematics Education, May 2015, Reviewed
7, 425, 432 - Objectification of the Function Concept in Japanese Lower Secondary Mathematics : Analysis of the Textbook Series
布川 和彦
上越教育大学研究紀要, Mar. 2014
33, 85, 96 - On the Relationship between the Conception of "Mathematics : The Science of Patterns" and School Mathematics
布川 和彦
上越教育大学紀要, Mar. 2013
32, 169, 180 - Multi-relation strategy in students' use of a representation for proportional reasoning
Kazuhiko Nunokawa
Eurasia Journal of Mathematics, Science and Technology Education, 2012, Reviewed
8(4), 4, 233, 248 - Proof, Mathematical Problem-Solving, and Explanation in Mathematics Teaching
Kazuhiko Nunokawa
EXPLANATION AND PROOF IN MATHEMATICS: PHILOSOPHICAL AND EDUCATIONAL PERSPECTIVES, 2010, Reviewed
223, 236 - On the 6th graders' problem solving processes in a mathematics lesson: focusing on the processes of departing from the initial making-sense
布川 和彦
Journal of Japan Society of Mathematical Education Research journal of mathematical education, Mar. 2008, Reviewed
90, 19, 39 - Using drawings and generating information in mathematical problem solving
Eurasia Journal of Mathematics, Science and Technology Education, 2006, Reviewed
2(3), 3, 33, 54 - 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
布川和彦
日本数学教育学会誌, 2005, Reviewed
87(4), 4, 22, 34 - Mathematical problem solving and learning mathematics: What we expect students to obtain
Kazuhiko Nunokawa
Journal of Mathematical Behavior, 2005, Reviewed
24(3-4), 3-4, 325, 340 - Solvers’ making of drawings in mathematical problem solving and their understanding of the problem situations
Kazuhiko Nunokawa
International Journal of Mathematical Education in Science and Technology, 2004, Reviewed
35(2), 2, 173, 183 - Students' appropriation process of mathematical ideas and their creation of hybrids of old and new ideas
Kazuhiko Nunokawa; Masashi Kuwayama
International Journal of Science and Mathematics Education, 2003, Reviewed
1(3), 3, 283, 309 - Questions during problem solving with dynamic geometric software and understanding problem situations
Kazuhiko Nunokawa; Toshiyuki Fukuzawa
Proceedings of the National Science Council, Republic of China, Part D: Mathematics, Science, and Technology Education, 2002, Reviewed
Lead, 12(1), 1, 31, 43 - Surprises in mathematics lessons
Kazuhiko Nunokawa
For the Learning of Mathematics, 2001, Reviewed
21(3), 3, 43-50., 50 - Possible activities facilitating solving processes: A lesson from a stuck state
Kazuhiko Nunokawa
International Journal of Mathematical Education in Science and Technology, 2001, Reviewed
32(2), 2, 245, 253 - Interactions between subgoals and understanding of problem situations in mathematical problem solving
Kazuhiko Nunokawa
Journal of Mathematical Behavior, 2001, Reviewed
20(2), 2, 187, 205 - Data versus conjectures in Mathematical Problem Solving
Kazuhiko Nunokawa
Focus on Learning Problems in Mathematics, 1997, Reviewed
19(1), 1, 1, 19 - Microanalysis of the Ways of Using Simpler Problems in Mathematical Problem Solving
Kazuhiko Nunokawa
Proceedings of the 21st International Conference for PME, 1997, Reviewed
3, 296, 303 - Giving New Senses to the Existing Elements : A Characteristic of the Solution Accompanied by Global Restructuring
Kazuhiko Nunokawa
Journal of Mathematical Behavior, 1997, Reviewed
16(4), 4, 365, 378 - Physical models in mathematical problem solving: A case of a tetrahedron problem
K. Nunokawa
International Journal of Mathematical Education in Science and Technology, 1997, Reviewed
28(6), 6, 871, 872 - Applying Lakatos' theory to the theory of mathematical problem solving
Kazuhiko Nunokawa
Educational Studies in Mathematics, 1996, Reviewed
31(3), 3, 269, 293 - Problem solving as modelling: A case of augmented-quotient division problem
Kazuhiko Nunokawa
International Journal of Mathematical Education in Science and Technology, 1995, Reviewed
26(5), 5, 721, 727 - Improving diagrams gradually : One approach to using diagrams in problem solving
Kazuhiko Nunokawa
For the Learning of Mathematics, Feb. 1994, Reviewed
14(1), 1, 34, 38 - Naturally generated elements and giving them senses : A usage of diagrams in problem solving
Kazuhiko Nunokawa
Proceedings of the 18th International Conference for PME, 1994, Reviewed
3, 376, 383 - Solver's structures of a problem situation and their global restructing
Kazuhiko Nunokawa
Journal of Mathematical Behavior, 1994, Reviewed
13(3), 3, 275, 297 - Giving a new sense to van Hiele Theory : Reconsideration from Perspectives of informal Knowledge and zone of proximal development
NUNOKAWA Kazuhiko
Research Journal of Educational Methods, 1993, Reviewed
19, 37, 46 - Prospective Structures in Mathematical Problem Solving
Kazuhiko Nunokawa
Proceedings of the 17th International Conference for PME, 1993, Reviewed
3,47-56 - van Hiele理論に対する新たな意味づけーインフォーマルな知識と発達の最近接領域を手がかりとしてー
布川和彦
教育方法研究(日本教育方法学会), 1993, Reviewed
19, 37, 46
MISC
- 量の概念を理解し、その大きさの比べ方を見いだすこと
布川和彦
新しい算数研究, Oct. 2023, Invited
Lead, 630, 4, 9 - これからの「計算指導」：計算の性質の指導
布川和彦
算数授業研究, Apr. 2023, Invited
Lead, 145, 32, 35 - 算数科における「個別最適な学び」を考える
布川和彦
新しい算数研究, Jun. 2022, Invited
617, 4, 7 - 教科の学びのもつ役割：「頭のよい」子を育てる
布川和彦
教育創造, Mar. 2022, Invited
196, 46, 51 - 知識・技能を問題解決で活用するための方法知とは
布川和彦
新しい算数研究, May 2021, Invited
604, 24, 27 - Invitation to the 44^
JSME Conference
NUNOKAWA Kazuhiko
Journal of Japan Society of Mathematical Education. Mathematical education, 01 May 2011
93, 5, 1, 1 - 解決過程の研究とその展開 : 理解の対象と漸進的理解という視点(問題解決分科会,第43回数学教育論文発表会「課題別分科会」)
布川 和彦
数学教育論文発表会「課題別分科会」発表集録及び要項, 13 Nov. 2010
43, 31, 36 - Multiplication : introduction
NUNOKAWA Kazuhiko
Journal of Japan Society of Mathematical Education. Mathematical education, 01 Nov. 2010
92, 11, "50, 51"-"122-123" - 意味生成プロセスとしての算数・数学の学習についての研究
布川和彦
平成14年度～平成16年度科学研究費補助金（基盤研究(C)(2)）研究成果報告書（研究代表者：布川和彦）, 2005
Lead - Empirical and Autonomical Aspects of School Mathematics
Kazuhiko Nunokawa
Tsukuba Journal of Educational Study in Mathematics, 1998
17, 205, 217 - A Continuity of Solver's Structures : Earlier Activities Facilitating the Generation of Basic Ideas
Kazuhiko Nunokawa
Tsukuba Journal of Educational Study in Mathematics, 1996
15, 113, 122 - Solvers' Spontaneous Balancing of the Level of Difficulty in Mathematical Problem Solving
Kazuhiko Nunokawa
Tsukuba Journal of Educational Study in Mathematics, 1993
12, B, 47, 56 - A consideration on van Hiele levels from the perspective of recognizing figures.
Kazuhiko Nunokawa
Bulletin of Institute of Education., 1992
Lead, 16, 2, 139, 152 - Solvers introduce some extra information : Its positive roles in the problem solving process and the instruction
Kazuhiko Nunokawa
Tsukuba Journal of Educational Study in Mathematics, 1992
11, B, 25, 36 - Can Mathematical Knowledge Trigger the Transformation of Structure of Problem Situations? : the Consideration from the Changing-Structure Viewpoint
Nunokawa Kazuhiko
Tsukuba journal of educational study in mathematics, 15 Mar. 1991
10, 45, 55 - A Study on a teaching strategy
S. Hasegawa; K. Nunokawa; T. Arai
Research Journal of Educational Methods, 1991
17 - A consideration on the issue relating to problemsolving strategy instruction : taking account of schema theory and seeking for a new direction
Kazuhiko Nunokawa
Bulletin of Institute of Education, 1991
16, 1 - Roles of heuristic strategies in mathematical problem solving.
K. Nunokawa
Tsukuba Journal of Educational Study in Mathematics, 1990
9, B, 41, 54
Books and other publications
- 新版算数科教育研究
布川 和彦, Contributor, 第８章第２節「子供の発達段階を踏まえた学習指導について調べよう」
東洋館出版社, Mar. 2019 - 新しい数学教育の理論と実践
布川 和彦, Contributor, 第５章第２節「文字式と方程式」, 第３節「関数とグラフ」
ミネルヴァ書房, Mar. 2019 - みんなで創る愉しい算数・数学の授業
布川 和彦, Contributor, 算数・数学における深い学びを目指した長期的な「創る」
学校図書, Jun. 2017 - 数学的思考: 人間の心と学び
布川 和彦, Joint translation, 第７章「具象世界と記号世界を通る旅」
共立出版, Dec. 2016 - 生徒の姿から指導を考える
布川 和彦, Single work
学校図書, Jun. 2016 - Another Perspective for Discussing Students' Understanding of Mathematics: Construction of Objects of Thought
NUNOKAWA Kazuhiko
Advances in psychology research, Nova Science Publishers, Jul. 2015 - Developments in research on mathematical problem solving in Japan
NUNOKAWA Kazuhiko
The first sourcebook on Asian research in mathematics education, Information Age Publishing, Jun. 2015 - Elementary school students' use of drawings and their problem solving
NUNOKAWA Kazuhiko
Psychology of problem solving, Nova Science Publishers, Mar. 2013 - Proof, Mathematical Problem-Solving, and Explanation in Mathematics Teaching
Explanation and proof in mathematics: Philosophical and educational perspectives, Springer, 2009 - Heuristic Strategies and Probing Problem Situations
Problem Solving in the Beginning of the 21st Century: An International Overview from Multiple Perspectives and Educational Level, Hergué (Spain), 2000 - Heuristic Strategies and Probing Problem Situations
Hergu(]E85EE[) "Problem Solving in the Beginning of the 21st Century", 2000 - 教科の知識と問題場面へのアプローチ
大学教育出版,「一般教科教育学序説」, 1998 - Subject Matter Knowledge and Approaches to Problem Situations
1998 - 「考え方」としてのストラテジーの指導
学校数学の改善:Do Mathの指導と学習,東洋館出版社, 1995 - 数学的問題解決における図の役割と解決者による意味づけ
数学教育学の進歩, 東洋館出版社, 1993
Lectures, oral presentations, etc.
- 「数学:パターン」の科学を視点とした授業に関する一考察：文字を用いた説明の場面に注目して
草桶勇人; 布川和彦
日本数学教育学会 第 53 回秋期研究大会, Nov. 2020 - 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
布川和彦; 青柳潤
日本数学教育学会秋期研究大会, Nov. 2019 - 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
布川 和彦
日本数学教育学会秋期研究大会, Nov. 2018 - 具体的場面の数量関係と学習の対象としての関数
布川 和彦
日本数学教育学会春期研究大会, Jun. 2018, Invited - Objects of Thought in Learning Mathematics at Elementary Schools
NUNOKAWA Kazuhiko
The 9th International Conference on Technology and Mathematics Education and Workshop of Mathematics Teaching, May 2017, Taiwanese Association of Mathematics Education, Invited - Bridging Students’ Ideas and Lessons’ Goals
NUNOKAWA Kazuhiko
The 13th International Congress of Mathematics Education, Jul. 2016, International Commission on Mathematical Instruction, Invited - 対象把握のためのディスコースと学習のパラドクス
布川 和彦
日本数学教育学会第4回春期大会, Jun. 2016 - 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
布川 和彦
日本数学教育学会第48回秋期大会, Nov. 2015 - 関数の学習における対象の成立に関わる一考察
布川 和彦
日本数学教育学会第47回秋期大会, Nov. 2014
Courses
Research Themes
- 数学をパターンの科学とする捉え方に基づく分数のカリキュラムの開発
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Grant-in-Aid for Scientific Research (C), Apr. 2020 - Mar. 2023
布川 和彦 - 言語活動とICT環境の充実による関数の創発的モデル化カリキュラムの開発と評価
文部科学省, 科学研究費補助金(基盤研究(B)), Apr. 2016 - Mar. 2020
大谷 実 - 変数概念を軸とした算数・数学連携カリキュラムの開発：認知的ツールとして文字式
文部科学省, 科学研究費補助金(基盤研究(C)), Apr. 2016 - Mar. 2019
布川 和彦 - 小学校から中学校への移行期における算数・数学科学習・教授軌道の開発と評価
文部科学省, 科学研究費補助金(基盤研究(B)), Apr. 2012 - Mar. 2015
大谷 実 - A Study on Mathematics Curriculum for Learning Functions Which Takes Account of the Articulation between Elementary and Secondary Schools and of the Applications of Functions
Ministry of Education, Culture, Sports, Science and Technology, Grants-in-Aid for Scientific Research(基盤研究(C)), 基盤研究(C), Apr. 2009 - Mar. 2012
Kazuhiko NUNOKAWA - Development of Mathematical Learning Activities for 4th, 5th, and 6th Graders Based on Proportional Ideas and Reasoning
Ministry of Education, Culture, Sports, Science and Technology, Grants-in-Aid for Scientific Research(基盤研究(C)), 基盤研究(C), Apr. 2006 - Mar. 2009
Kazuhiko NUNOKAWA - A study on learning mathematics from the viewpoint of sense making
Ministry of Education, Culture, Sports, Science and Technology, Grants-in-Aid for Scientific Research(基盤研究(C)), 基盤研究(C), Apr. 2002 - Mar. 2005
Kazuhiko NUNOKAWA - General study of educational practices based on clinical learning curriculum corresponding to a process of children's learning
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (B), 2001 - 2003
MATSUMOTO Takeyoshi; SATO Kimiharu; UENO Naoki; NUNOKAWA Kazuhiko; MORO Yuji; NISHIZAKA Aug - Investigation of prehomogeneous vector spaces and ideal class groups of algebraic number fields
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), 2000 - 2001
NAKAGAWA Jin; NUNOKAWA Kazuhiko; MIZOKAMI Takemi - Investigation of zeta functions associated with prehomogeneous vector spaces
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), 1998 - 1999
NAKAGAWA Jin; OKAZAKI Masakazu; IWASAKI Hiroshi; NUNOKAWA Kazuhiko - Submanifolds in Hyperbolic, Space
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), 1997 - 1998
MORI Hiroshi; IWASAKI Hiroshi; NUNOKAWA Kazuhiko; KUMAGAI Kohichi - 解析学におけるR;emann-Hilbert問題の代数的・幾何学的研究
日本学術振興会, 科学研究費助成事業, 一般研究(C), 1995 - 1995
長 宗雄; 布川 和彦; 手島 勝朗; 中川 仁; 溝上 武実; 森 博 - 算数・数学の授業における学習者の様相
- 数学的問題解決の支援についての研究
- 数学的アイデアの学習プロセス
- Research on Support of Students' Mathematical Problem Solving
- Learning Processes of Mathematical Ideas
- Study on Teaching of Mathematical Problem Solving
