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Empirical research by development and the lesson study of the activated teaching materials in junior and senior high school, in mathematics.

Research Project

Project/Area Number 26350198
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Science education
Research InstitutionShibaura Institute of Technology

Principal Investigator

Makishita Hideyo  芝浦工業大学, 工学部, 准教授 (80631580)

Research Collaborator 佐藤 正行  元芝浦工業大学, 教授
槇 誠司  山形県立村山産業, 高校長
高村 真彦  板橋区立高島第二中, 主幹教諭
勢子 公男  東京理科大学, 非常勤講師
山田 潤  愛知県立津島高, 教諭
金森 千春  芝浦工業大学附属中高, 教諭
井上 教子  芝浦工業大学柏中高, 教諭
古宇田 大介  芝浦工業大学柏中高, 教諭
芝辻 正  芝浦工業大学柏中高, 教諭
荒川 昭  慶應義塾, 普通部, 教諭
町田 多加志  筑波大学附属駒場中高, 教諭
須田 学  筑波大学附属駒場中高, 教諭
高山 琢磨  大田区立志茂田中, 教諭
神谷 隼基  静岡県立御殿場高, 教諭
Project Period (FY) 2014-04-01 – 2018-03-31
Project Status Completed (Fiscal Year 2017)
Budget Amount *help
¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000)
Fiscal Year 2017: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2016: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2015: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2014: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Keywords数学教材開発 / 動画解説教材 / 授業研究 / 和算 / ICTの利活用 / 動的幾何ソフトウエア / Cinderella / KeTcindy / 教材開発 / メルボルン大学大学院 / ICCSA 2017 / CASTR2017 / ATCM22 / 授業研究会 / ICME13 / CADGME2016 / ATCM21 / WASAN / 図形描画 / ICT利活用 / 数学活用 / 国際研究者交流(大韓民国) / 国際情報交換(オーストラリア)) / 教職学生の数学教育
Outline of Final Research Achievements

I developed the mathematics teaching materials of contents to handle in a junior high school, a high school course in mathematics. About the effects of the teaching materials which I developed, I practiced it by the class in the school spot of the study cooperator. Through a study meeting, I discussed attitude toward mathematics of the mind づきや student of the student, the transformation of a viewpoint and the way of thinking for the mathematics by those teaching materials. In these activity, I was able to clarify effective technique to promote the way and the teaching materials making of the class study. In addition, I was able to publish it about profit utilization of the native mathematics of Japan that was mathematics culture of the Edo era as the result.

Report

(5 results)
  • 2017 Annual Research Report   Final Research Report ( PDF )
  • 2016 Research-status Report
  • 2015 Research-status Report
  • 2014 Research-status Report
  • Research Products

    (45 results)

All 2018 2017 2016 2015 2014 Other

All Journal Article (16 results) (of which Int'l Joint Research: 3 results,  Peer Reviewed: 8 results,  Open Access: 2 results,  Acknowledgement Compliant: 11 results) Presentation (25 results) (of which Int'l Joint Research: 11 results) Book (3 results) Remarks (1 results)

  • [Journal Article] Collaborative use of KeTCindy with other mathematical tools.2017

    • Author(s)
      Masataka Kaneko, Satoshi Yamashita, Hideyo Makishita, Koji Nishiura, Setsuo Takato
    • Journal Title

      The Electronic Journal of Mathematics and Technology

      Volume: 11-2 Pages: 100-111

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Geometric Construction by Dynamic Geometry Software and its Script for Application of Mathematics to Mathematics.2017

    • Author(s)
      Hideyo Makishita
    • Journal Title

      Computer Algebra Systems in Teaching and Research

      Volume: VI Pages: 67-77

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Application of Mathematics to Mathematics for Geometric Construction Using by CUI and GUI.2017

    • Author(s)
      Hideyo Makishita
    • Journal Title

      The 22nd Asian Technology Conference in Mathematics Abstracts

      Volume: 22 Pages: 41-41

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Collaborative use of KeTCindy with other mathematical tools2017

    • Author(s)
      Masataka Kaneko, Satoshi Yamashita, Hideyo Makishita, Koji Nishiura, Setsuo Takato
    • Journal Title

      The Electronic Journal of Mathematics and Technology, Volume 1, Number 1

      Volume: 1 Pages: 1-2

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] 動的図形描画ソフト CinderellaとKeTCindy, LaTeX2017

    • Author(s)
      牧下英世
    • Journal Title

      ICT活用ハンドブック

      Volume: 1 Pages: 17-24

    • Related Report
      2016 Research-status Report
    • Acknowledgement Compliant
  • [Journal Article] GUIとCUIによる作図の紹介-数学を数学に活用する取り組み-2016

    • Author(s)
      牧下 英世
    • Journal Title

      数学教育: 東京理科大学数学教育研究会誌

      Volume: 58巻1号 Pages: 147-158

    • Related Report
      2016 Research-status Report
    • Acknowledgement Compliant
  • [Journal Article] 数学を活用した図形描画2016

    • Author(s)
      牧下英世
    • Journal Title

      日本科学教育学会年会論文集40

      Volume: 40 Pages: 195-196

    • NAID

      130007436143

    • Related Report
      2016 Research-status Report
    • Acknowledgement Compliant
  • [Journal Article] 教職課程の模擬授業における ICTを活用したフィードバックの改善とその効果の検証2016

    • Author(s)
      牧下英世, 町支大祐, 佐々木文平
    • Journal Title

      芝浦工業大学研究報告 人文系 49-2

      Volume: 49-2 Pages: 127-132

    • Related Report
      2015 Research-status Report
    • Acknowledgement Compliant
  • [Journal Article] GUIとCUIによる作図の紹介 -数学を数学に活用する取り組み-2016

    • Author(s)
      牧下 英世
    • Journal Title

      数学教育: 東京理科大学数学教育研究会会誌58-1

      Volume: 58-1 Pages: 147-158

    • Related Report
      2015 Research-status Report
    • Acknowledgement Compliant
  • [Journal Article] Figure Drawing using KETCindy and Its Application to Mathematics Education; Practical Example Application of Mathematics to Mathematics2015

    • Author(s)
      Hideyo Makishita
    • Journal Title

      Proceedings of the 20th Asian Technology Conference in Mathematics

      Volume: 1 Pages: 374-383

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] インターネット環境のない教室でのShowMeによる授業展開2015

    • Author(s)
      高村真彦, 牧下英世
    • Journal Title

      日本科学教育学会年会論文集39

      Volume: 39 Pages: 426-427

    • NAID

      130007430475

    • Related Report
      2015 Research-status Report
    • Peer Reviewed
  • [Journal Article] 高等学校数学科における活性化教材の開発 -数学を数学に活用する取り組み-2015

    • Author(s)
      牧下 英世
    • Journal Title

      数学ソフトウェアとその効果的教育利用に関する研究 Study of Mathematical Software and Its Effective Use for Mathematics Education RIMS 研究集会報告集

      Volume: 1978 Pages: 96-107

    • Related Report
      2015 Research-status Report
    • Acknowledgement Compliant
  • [Journal Article] KETpic による作図プログラミング書法の確立2015

    • Author(s)
      山下 哲 , 北原 清志 , 前田 善文 [他] , 碓氷 久 , 阿原 一志 , 牧下 英世 , 高遠 節夫
    • Journal Title

      数学ソフトウェアとその効果的教育利用に関する研究 Study of Mathematical Software and Its Effective Use for Mathematics Education RIMS 研究集会報告集

      Volume: 1978 Pages: 200-208

    • Related Report
      2015 Research-status Report
    • Acknowledgement Compliant
  • [Journal Article] 高等学校数学科での数学史の利活用2015

    • Author(s)
      牧下 英世
    • Journal Title

      日本数学教育学会誌. 臨時増刊, 総会特集号 97

      Volume: 97 Pages: 549-549

    • Related Report
      2015 Research-status Report
    • Acknowledgement Compliant
  • [Journal Article] Practice with Computer Algebra Systems in Mathematics Education and Teacher Training Courses.2014

    • Author(s)
      Hideyo Makishita
    • Journal Title

      Lecture Notes in Computer Science, Springer

      Volume: 8592

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Establishment of KETpic programming styles for drawing.2014

    • Author(s)
      Satoshi Yamashita(代表), Kiyoshi Kitahara, Yoshifumi Maeda, Hisashi Usui, Kazushi Ahara, Hideyo Makishita, Setsuo Takatoh
    • Journal Title

      Lecture Notes in Computer Science, Springer

      Volume: 8592

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Presentation] 中学・高校の数学活性化教材の開発2017

    • Author(s)
      牧下英世
    • Organizer
      東京都高等学校数学教育研究会 箱根研修会
    • Place of Presentation
      箱根 伊東園ホテル
    • Year and Date
      2017-02-11
    • Related Report
      2016 Research-status Report
  • [Presentation] Geometric Construction by Dynamic Geometry Software and its Script for Application of Mathematics to Mathematics.2017

    • Author(s)
      Hideyo Makishita
    • Organizer
      Computer Algebra Systems in Teaching and Research
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Application of Mathematics to Mathematics for Geometric Construction Using by CUI and GUI.2017

    • Author(s)
      Hideyo Makishita
    • Organizer
      The 22nd Asian Technology Conference in Mathematics Abstracts
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] ICTの利活用により数学的活動を活性化する2017

    • Author(s)
      牧下英世
    • Organizer
      日本数学教育学会(和歌山大会)
    • Related Report
      2017 Annual Research Report
  • [Presentation] 数学史における作図を通して数学活用を実感させる指導法2017

    • Author(s)
      牧下英世
    • Organizer
      日本科学教育学会(香川大会)
    • Related Report
      2017 Annual Research Report
  • [Presentation] 授業研究によって教職学生の授業力向上を図る実践研究2017

    • Author(s)
      牧下英世, 金森千春, 古宇田大介, 芝辻 正, 高村真彦, 町田多加志
    • Organizer
      日本工学教育協会
    • Related Report
      2017 Annual Research Report
  • [Presentation] Geometric Constructions with Cinderella and ketcindy -- Application of mathematics to mathematics in senior high school2016

    • Author(s)
      Hideyo Makishita
    • Organizer
      The 21st Asian Technology Conference in Mathematics
    • Place of Presentation
      Suan Sunandha Rajabhat University Pattaya, Thailand
    • Year and Date
      2016-12-14
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] 「数学を数学に活用する」ことを意識づける取り組み2016

    • Author(s)
      牧下 英世
    • Organizer
      日本数学教育学会
    • Place of Presentation
      弘前大学
    • Year and Date
      2016-10-29
    • Related Report
      2016 Research-status Report
  • [Presentation] Introduction to KeTCindy --- Unification of Dynamic Geometry and High-Quality Printing2016

    • Author(s)
      HIdeyo Makishita
    • Organizer
      Sixth Central- and Eastern European Conference on Computer Algebra- and Dynamic Geometry Systems in Mathematics Education
    • Place of Presentation
      Sapientia Hungarian University of Transylvania, Romania
    • Year and Date
      2016-09-07
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] PROPOSAL OF FIGURE DRAWING USING CUI AND GUI--APPLICATION OF MATHEMATICS TO MATHEMATICS --2016

    • Author(s)
      Hideyo Makishita
    • Organizer
      13th International Congress on Mathematical Education
    • Place of Presentation
      The university of Hamburg, Germany
    • Year and Date
      2016-07-24
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] 数学を活用して和算の図形を正確に描画する取り組みとその実証的研究2016

    • Author(s)
      牧下 英世
    • Organizer
      日本数学史学会
    • Place of Presentation
      同志社大学
    • Related Report
      2016 Research-status Report
  • [Presentation] 和算図形を正確に描画する試み2016

    • Author(s)
      牧下 英世
    • Organizer
      全国和算研究大会
    • Place of Presentation
      愛媛県公立学校共済組合 にぎたつ会館
    • Related Report
      2016 Research-status Report
  • [Presentation] 数学を活用した図形描画2016

    • Author(s)
      牧下 英世
    • Organizer
      日本科学教育学会
    • Place of Presentation
      ホルトホール大分
    • Related Report
      2016 Research-status Report
  • [Presentation] 『和算の基本問題と解法』を使った取り組み報告2016

    • Author(s)
      牧下英世
    • Organizer
      京都大学数理解析研究所 共同研究 研究題目「直観幾何学を用いた数学教師に必要な数学能力開発の研究」 (研究代表 熊本大学 伊藤仁一教授)
    • Place of Presentation
      京都大学数理解析研究所
    • Related Report
      2016 Research-status Report
  • [Presentation] Figure Drawing using KETCindy and Its Application to Mathematics Education; Practical Example Application of Mathematics to Mathematics2015

    • Author(s)
      Hideyo Makishita
    • Organizer
      The 20th Asian Technology Conference in Mathematics
    • Place of Presentation
      Leshan Normal University Leshan, China
    • Year and Date
      2015-12-16
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] 数学教育委員会2015

    • Author(s)
      牧下 英世
    • Organizer
      東京理科大学数学教育研究会
    • Place of Presentation
      東京理科大学
    • Year and Date
      2015-10-03
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] KETpic による作図プログラミング書法の確立2015

    • Author(s)
      山下 哲 , 北原 清志 , 前田 善文 [他] , 碓氷 久 , 阿原 一志 , 牧下 英世 , 高遠 節夫
    • Organizer
      数学ソフトウェアとその効果的教育利用に関する研究
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2015-08-31
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] 高等学校数学科における活性化教材の開発 -数学を数学に活用する取り組み-2015

    • Author(s)
      牧下 英世
    • Organizer
      数学ソフトウェアとその効果的教育利用に関する研究
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2015-08-31
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] 教職課程の模擬授業における ICTを活用したフィードバックの改善とその効果の検証2015

    • Author(s)
      牧下英世, 町支大祐, 佐々木文平
    • Organizer
      私立大学情報教育協会
    • Place of Presentation
      東京理科大学
    • Year and Date
      2015-08-07
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] KETCindy- supporting tool to convert students' findings into knowledge in collegiate mathematics education2015

    • Author(s)
      Masataka Kaneko, Satoshi Yamashita, Hideyo Makishita, Yoshifumi Maeda, Naoki Hamaguchi, Shigeki Kobayashi, Setsuo Takato
    • Organizer
      THE INFORMATION SOCIETY AT THE CROSSROADS, Response and Responsibility of the Sciences of Information
    • Place of Presentation
      Vienna University of Technology
    • Year and Date
      2015-06-03
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] 数学科教員養成におけるICTの利活用のための実践2015

    • Author(s)
      牧下英世
    • Organizer
      数学教育学会
    • Place of Presentation
      明治大学
    • Year and Date
      2015-03-21 – 2015-03-23
    • Related Report
      2014 Research-status Report
  • [Presentation] KETpicによる作図プログラミング書法の要件2014

    • Author(s)
      山下哲(代表),北原清志,前田善文,碓氷久,阿原一志,牧下英世,高遠節夫
    • Organizer
      日本教育工学会
    • Place of Presentation
      岐阜大学
    • Year and Date
      2014-09-20
    • Related Report
      2014 Research-status Report
  • [Presentation] 数学を数学に活用する2014

    • Author(s)
      牧下英世
    • Organizer
      日本科学教育学会
    • Place of Presentation
      埼玉大学
    • Year and Date
      2014-09-13 – 2014-09-15
    • Related Report
      2014 Research-status Report
  • [Presentation] 教職課程でGeoGebraを活用した実践研究2014

    • Author(s)
      牧下英世
    • Organizer
      京都大学数理解析研究所 研究集会 数学ソフトウェアとその効果的教育利用に関する研究
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2014-09-01 – 2014-09-03
    • Related Report
      2014 Research-status Report
  • [Presentation] 西オーストラリアとシンガポールのICT教育と慶應義塾普通部でのコンピュータ教育の実践2014

    • Author(s)
      荒川昭,牧下英世
    • Organizer
      京都大学数理解析研究所 研究集会 数学ソフトウェアとその効果的教育利用に関する研究
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2014-09-01 – 2014-09-03
    • Related Report
      2014 Research-status Report
  • [Book] 中学校・高等学校数学科における 活性化教材の開発と授業研究による実証的研究2018

    • Author(s)
      牧下英世,金森千春,古宇田大介,芝辻正,井上教子,高山琢磨,山田潤,神谷隼基,町田多加志,須田学,高村真彦
    • Total Pages
      220
    • Publisher
      なし(科研による報告書)
    • Related Report
      2017 Annual Research Report
  • [Book] "WASAN"-Basic Problems and Solution-2016

    • Author(s)
      Hideyo Makishita
    • Total Pages
      208
    • Publisher
      なし
    • Related Report
      2016 Research-status Report
  • [Book] 和算の基本問題とその解法(第二版)2016

    • Author(s)
      米光丁,牧下英世
    • Total Pages
      208
    • Publisher
      なし
    • Related Report
      2015 Research-status Report
  • [Remarks]

    • URL

      https://sites.google.com/site/makishitalaboratory/home

    • Related Report
      2016 Research-status Report

URL: 

Published: 2014-04-04   Modified: 2019-03-29  

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