Research Areas
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mathematics education
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Humanities & Social Sciences / Education
Graduate School
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Waseda University, Graduate School, Division of Natural Science
Doctor's Course, 1991.03, Completed
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Waseda University, Graduate School, Division of Natural Science
Doctor's Course, 1994.04, Accomplished credits for doctoral program
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The Open University of Japan, Graduate School, Division of Cultural Studies
Doctor's Course, 2025.03, Completed
External Career
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Yamato university, Professor, 2024.04 - 2025.04
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Waseda University, 2024.12 -
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Yamagata University, Professor, 2025.04 -
Papers
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A Case Study of Lessons Incorporating Mathematical Activities for Teacher Training Program, The 30th Asian Technology Conference in Mathematics, 2025.12
Takuma Takaykma
Single Author
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A Proposal for Teacher Education Using Regular Polygons, WASEDA JORNAL OF MATHEMATICS EDUCATION, 43(1) 20-28, 2025.11
Takuma TAKAYAMA
Single Author
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“The Potential and Challenges of New Mathematics Learning Methods Utilizing Generative AI"―Focusing on Prompts and Learner Comprehension―, Japan Jornal of Mathematics Education and Related Fields, 66(1.2) 103-109, 2025.09
Single Author
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A STUDY OF ACTIVITIES USING GEOGEBRA IN METHOD OF LAGRANGE MULTIPLIER, The 9th ICME-East Asia Regional Conference on Mathematics Education Proceeding Vol. 3, 1295-1298, 2025.07
Manabu Yoshida , Takuma TAKAYAMA
Multiple Authorship (Including Foreigners)
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数学教育における生成AIの可能性, 早稲田大学数学教育学会学会誌, 42(1) 21-30, 2024.12
松永昇也, 井岡朋央, 高山琢磨, 武沢護
Single Author
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第106回全国算数・数学教育研究大会 基調発表 1教育課程, 日本数学教育学会誌, 106(11) 31-32, 2024.11
高山琢磨
Single Author
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Mathematical thinking in programming education: Applied to the solution of linear equations in Junior high school, International Journal of Didactical Studies, 2024.08
Takuma Takayama
Single Author
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THE DIFFERENCE BETWEEN PROGRAMMING AND COMPUTATIONAL THINKING IN MATHEMATICAL EDUCATION, Proceedings of the 15th International Congress on Mathematical Education (ICME-15), 2024.07
Takuma TAKAYAMA
Single Author
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Effects of Programming on Conceptual Understanding of Surplus -Western Calendar and Zodiac Programming as a Case Study-, 64(3/4) 23-35, 2024.04
Single Author
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連立方程式の活用(損益分岐点の理解と通してグラフの交点の意味を理解する), 数学教育 東京理科大学数学教育研究会, 66(1) 64-69, 2024.04
高山琢磨
Single Author
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Prospective activities using mathematical formulas, Booklet of the 9th Study Group on Lesson Development of the Japanese Society for Mathematics Education, 9(1) 56-57, 2024.02
Single Author
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「AI 時代の数学教育」 -生成AI による数学問題の解法-, 早稲田大学数学教育学会学会誌, 41(1) 42-60, 2023.12
高山琢磨, 松永 昇也, 井岡 朋央, 武沢 護
Single Author
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第106回全国算数・数学教育研究(大阪)大会基調発表 データの活用, 日本数学教育学会誌, 74-75, 2023.11
高山 琢磨
Single Author
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A STUDY ON MATHEMATICAL MODELING UTILIZING APOLLONIUS' CIRCLE, The 21st International Conference on the Teaching of Mathematical Modelling and ApplicationsICTMA21 Conference Booklet, 126, 2023.09
Takuma TAKAYAMA
Single Author
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プログラミングが数学理解に及ぼす影響 -四角形の包摂関係の理解を事例 として-, 数学教育学会誌, 64(64) 45-58, 2023.09
高山琢磨
Single Author
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中学校数学科における剰余の概念を用いたプログラミング活動の再考, 数学教育学会2023年度秋季例会予稿集, 114-116, 2023.09
高山琢磨
Single Author
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A Study on the Teaching Method of Specimen Recapture Method Using ICT, Proceedings of the 105th Annual Meeting of the Japanese Society for Mathematics Education, 348, 2023.08
Single Author
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Construction of School Mathematics that Integrates Humanities and Science and Training of Teachers for Society 5.0 Current Situation and Consideration of ICT in Junior High Schools, Mathematics Education Society of Japan Study Group for the 2021-2010 academic year Establishment of a School Mathematics and teacher training and development for school mathematics that can meet the needs of Society 5.0 Report, 156-157, 2023.04
Single Author
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Society 5.0に対応できる文理融合の学校数学~計算を何に使うか~一人一台端末時代における数学の授業の在り方に関する一考察, 数学教育学会2023年度春季年会予稿集, 96-98, 2023.03
高山 琢磨
Single Author
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現実場面への円周角の定理の活用を目指した授業の提案, 数学教育学会2023年度春季年会予稿集, 130-132, 2023.03
高山 琢磨
Single Author
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多角形の展開図の作図の考察を通して空間認識を高める活動, 日本数学教育学会 第8回授業づくり研究会冊子, 47-48, 2023.02
高山 琢磨
Single Author
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Development of Teaching Materials to Enhance Spatial Awareness, WASEDA JORNAL OF MATHEMATICS EDUCATION, 40(1) 29-40, 2022.11
Takuma TAKAYAMA
Single Author
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四角形の包摂関係の理解向上を目指したプログラミング教材の開発とその実践, 数学教育学会 秋季例会予稿集, 136-138, 2022.09
高山琢磨
Single Author
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Development of Teaching Materials for Mathematics Education;Using ICT;Their Practice;Application of;the Formula for Finding;the;Area of a;Trapezoid;Using Excel, 21(21) 35-51, 2022.03
Single Author
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Classes that deeply examine previously learned material by discovering new events., 40-41, 2022.02
Single Author
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Proposal for Teaching Methods Utilizing Programming in High School Mathematics Euclidean Algorithm, Indefinite Equations, Chinese Remainder Theorem and Related Topics, Japan Jornal of Mathematics Education and Related fields, 63(3・4) 57-69, 2022
Takuma TAKAYAMA
Single Author
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A Study on the Development of Teaching Materials Using the Method of Drawing Solutions of Quadratic Equations : Drawing Regular Heptadecagon and the Golden Ratio and Its Related Shapes, Japan Journal of Mathematics Education and Related Fields, 62(1) 131-138, 2021.09
Single Author
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MATHEMATICS EDUCATION AND COMPUTATIONAL THINKING, 14th International Congress on Mathematical Education, 1(1) , 2021
Takuma TAKAYAMA
Single Author
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A Study on the Development of Teaching Materials to Foster Computational Thinking in Secondary School Mathematics, WASEDA JORNAL OF MATHEMATICS EDUCATION, 38(1) 22-38, 2020.11
Takuma TAKAYAMA
Single Author
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Academic Gaps in Mathematics Achievements and Suggestions for Resolving the Disparities, Japan Journal of Mathematics Education and Related Fields, 61(3-4) 45-52, 2020.11
Takayama Takuma
Single Author
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The Study of Teaching Material Development for Nurturing Analytical Thinking, Japan Journal of Mathematics Education and Related Fields, 61(1-2) 71-80, 2020.10
TAKAYAMA Takuma
Single Author
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Scratchを利用したプログラミング的思考に関する一考察, 日本科学教育学会 年会論文集, 44th 627-628, 2020.08
高山琢磨
Single Author
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二次方程式の解の作図法の活用に関する一考察, 数学教育学会2020年度春季年会予稿集, 111-113, 2020.04
高山琢磨
Single Author
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A Study on Programming Thinking Using Scratch, Proceedings of the Annual Meeting of Japan Society for Science Education, 44 627-628, 2020
TAKAYAMA Takuma
Single Author
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A study on programming thinking using Chinese zodiac, Proceedings of the Annual Meeting of Japan Society for Science Education, 43(0) 503-504, 2019
TAKAYAMA Takuma, TAKEZAWA Mamoru, WATANABE Akio
Single Author
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Future Mission of the Mathematics Education Society of Japan : What schools expect from the Mathematics Education Society of Japan, 60(1) 41-44, 2019
Single Author
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Development of teaching materials to enhance the way of seeing and thinking about graphs, The 100th National Conference on Mathematics Education and Research (Tokyo) Special Collection, 405, 2018.08
Single Author
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A STUDY ON MATHEMATICAL ACTIVITY WITH A FOCUS ON LINKING THE THEORETICAL AND EXPERIMENTAL APPROACHES TO PROBABILITY, 10th International Conference on Teaching Statistics, 2018.07
Takuma TAKAYAMA
Single Author
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A Study on Logical Thinking in Geometric Region, 36(1) 22-34, 2018
Single Author
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A Study on Programming Thinking in Mathematics Education, Proceedings of the Annual Meeting of Japan Society for Science Education, 42(0) 517-518, 2018
TAKAYAMA Takuma
Single Author
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Center of gravity of various figures, 13th International Congress on Mathematical Education, 2016
Takuma TAKAYAMA
Single Author
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The Practical Study of Mathematical Activities which Emphasize the Significance of the Relation to the Other Subjects, 33(1) 39-52, 2016
Single Author
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A Study of Active Learning in the Mathematics with Basic Programming, Proceedings of the Annual Meeting of Japan Society for Science Education, 40(0) 307-308, 2016
TAKAYAMA Takuma
Single Author
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The Active Learning Teaching Practice in Junior High School Mathematics Using ShowMe, Proceedings of the Annual Meeting of Japan Society for Science Education, 39(0) 394-395, 2015
TAKAYAMA Takuma
Single Author
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Isometric shift operators on the disc algebra, Tokyo Journal of Mathematics, 21(1) 115-120, 1998
Takuma Takayama, Junzo Wada
Single Author
Books
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中学校数学 指導スキル大全, 明治図書出版, 2022.05
水谷 尚人他
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中学校数学1 2 3教師用指導書 共著 教育出版 第1章, 教育出版, 2021.03
高山琢磨
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全単元の定番教材 思考をアクティブにする重要発問集「2つのグラフの交点は何を表していますか?」, 明治図書「数学教育」6月号, 2019.06
高山琢磨
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日常の事象や社会の事象から問題を見出し解決する活動 関数の教材アイディア, 明治図書「数学教育」1月号, 2018.01
高山琢磨
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表から一次関数の式を求める問題, 明治図書「数学教育」6月号, 2017.06
高山琢磨
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グラフから一次関数の式を求める問題, 明治図書「数学教育」6月号, 2017.06
高山琢磨
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「学習過程」を明らかにした問題解決授業の具体例, 明治図書「数学教育」1月号, 2017.01
高山琢磨
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「ペアで説明し合う活動」2つの円に内接する四角形の性質を探ってみよう, 明治図書「数学教育」11月号, 2016.11
高山琢磨
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経験的確率を樹形図で検証しよう, 教育出版中学校数学通信コンパス2016年秋号, 2016.10
高山琢磨
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板書構想で見る言語活動のデザイン 「3年・関数 y=ax2 円の性質の考察を通して関数y=ax2の接線の方程式を考えよう」, 明治図書「数学教育」6月号, 2016.06
高山琢磨
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生徒が乗ってきた私の授業「因数分解」, 中学校教育フォーラムp14-15, 2016
高山琢磨
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アクティブ・ラーニングの教材設計 「一次関数」, 明治図書「数学教育」12月号, 2015.12
高山琢磨
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アクティブ・ラーニングの教材設計 「比例と反比例」, 明治図書「数学教育」12月号, 2015.12
高山琢磨
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つまずきのポイントを押さえた関数の活用題指導「給水・排水の問題」, 明治図書「数学教育」9月号, 2015.09
高山琢磨
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グループの力を生かしたアクティブ・ラーニング「関数y=ax2 主体的・協働的な学びを通して放物線の図形的性質を見出す」, 明治図書「数学教育」8月号, 2015.08
高山琢磨
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つまずきのポイントを押さえた数式の活用題指導「速さ・道のり・時間の問題」, 明治図書「数学教育」6月号, 2015.06
高山琢磨
Review Papers
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次世代の数学教育を担う教員の養成-教員養成課程の学生を対象とした数学的活動を取り入れた授業の事例ー, 数学教育学会2024年度秋季例会予稿集, 50, 2024.09
高山琢磨
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Report on the 9th Junior High School Classroom Development Study Group, (4) Report on the Council Meeting, 106(5) 36, 2024.05
TAKAYAMA Takuma
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男女共同参画の視点を取り込んだ 理数系教科の授業づくり, 男女共同参画の視点を取り込んだ 理数系教科の授業づくり, 2021.03
高山琢磨, 内閣府他
Academic Awards Received
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16th Arithmetic/Mathematics/Teaching Master Award Grand Prize, 2023.12, Others
Presentations
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Waseda University Mathematics Education Society 202nd Curriculum Learning and Teaching Methods Subcommittee, Domestic presentation, 2025, A lesson plan for mathematical activities using Voronoi diagrams, Oral presentation (general)
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2023 Annual Spring Meeting of the Society for Mathematics Education, Domestic presentation, 2023.03, Symposium School Mathematics for Society 5.0: What is the use of computation?, Symposium, workshop panel (nominated)
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The 30th Asian Technology Conference in Mathematics, International presentation, 2015.12 - 2025.12, A Classroom Practice Using the Voronoi Function in GeoGebra: Mathematical Activities for Finding Evacuation Sites, Poster presentation