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Research on the effect of using high-quality graphics in mathematics education based on the neuroscientific and behavioral scientific approach

Research Project

Project/Area Number 24501075
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Science education
Research InstitutionToho University (2013-2014)
Kisarazu National College of Technology (2012)

Principal Investigator

KANEKO Masataka  東邦大学, 薬学部, 准教授 (90311000)

Co-Investigator(Kenkyū-buntansha) OUCHI Syunji  下関市立大学, 経済学部, 教授 (00213629)
TAKATO Setsuo  東邦大学, 理学部, 訪問教授 (30163223)
NAKAGAWA Masahiro  長岡技術科学大学, 工学部, 教授 (60155687)
KITAHARA Kiyoshi  工学院大学, 教養教育部門, 准教授 (90133321)
NOZAWA Takeshi  長岡工業高等専門学校, 一般教育科, 教授 (80321412)
HAMAGUCHI Naoki  長野工業高等専門学校, 一般教育科, 准教授 (00369977)
YAMASHITA Satoshi  木更津工業高等専門学校, 基礎学系, 教授 (40259825)
Project Period (FY) 2012-04-01 – 2015-03-31
Project Status Completed (Fiscal Year 2014)
Budget Amount *help
¥5,330,000 (Direct Cost: ¥4,100,000、Indirect Cost: ¥1,230,000)
Fiscal Year 2014: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2013: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Fiscal Year 2012: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Keywords数学教材中の図 / KETpic / 脳内賦活機序 / 曲面の形状把握 / 三角関数のグラフ描画 / 作業記憶 / 動的幾何ソフト / 教材中の図利用 / NIRS計測 / 脳波計測 / 面画と線画 / 三角関数のグラフ / 図の教育効果 / 実験授業 / 脳機能計測
Outline of Final Research Achievements

The purpose of this research is to estimate the effect of using high-quality graphics generated with KETpic software through the analysis on the brain wave and brain blood flow of students. As a result, it has turned out that the kinds and progress of students' reasoning process can be detected mainly by tracing the brain activation mechanism through NIRS measurement. Based on this knowledge, we have executed many measurements using NIRS. We obtained important knowledges about the students' brain activities when they understand the shape of graphs of trigonometric functions or surfaces in 3d space. These knowledges are consistent with the result of statistical analysis on the students' outputs in real classroom. Combined with the use of dynamic geometry software, KETpic should become powerful tool to make the effective classroom design possible.

Report

(4 results)
  • 2014 Annual Research Report   Final Research Report ( PDF )
  • 2013 Research-status Report
  • 2012 Research-status Report
  • Research Products

    (45 results)

All 2015 2014 2013 2012 Other

All Journal Article (17 results) (of which Peer Reviewed: 8 results,  Acknowledgement Compliant: 7 results) Presentation (24 results) (of which Invited: 2 results) Remarks (4 results)

  • [Journal Article] KETCondy--collaboration of Cinderella and KETpic2015

    • Author(s)
      M. Kaneko, S. Yamashita, Y. Maeda, Y. Nakamura, U. Kortenkamp, S. Takato
    • Journal Title

      International Journal for Technology in Mathematics Education

      Volume: 未定

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] 薬学基礎数学教育における「図の読み取り」にまつわる問題2015

    • Author(s)
      金子真隆, 奥平和穂, 高遠節夫
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 未定

    • Related Report
      2014 Annual Research Report
    • Acknowledgement Compliant
  • [Journal Article] 印刷教材における挿図の教育効果の検証2015

    • Author(s)
      北原清志, 高橋正, 高遠節夫
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 未定

    • Related Report
      2014 Annual Research Report
    • Acknowledgement Compliant
  • [Journal Article] On some attempts to verify the effect of using high-quality graphics in mathematics education2014

    • Author(s)
      K. Kitahara, T. Takahashi, M. Kaneko
    • Journal Title

      Lecture Notes in Computer Science

      Volume: 8592 Pages: 578-585

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Creating interactive graphics for mathematics education utilizing KETpic2014

    • Author(s)
      S. Ouchi, Y. Maeda, K. Kitahara, N. Hamaguchi
    • Journal Title

      Lecture Notes in Computer Science

      Volume: 8592 Pages: 607-613

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] 統計教育における動画の効果的な利用2014

    • Author(s)
      大内俊二, 高遠節夫
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 1909 Pages: 157-164

    • Related Report
      2014 Annual Research Report
    • Acknowledgement Compliant
  • [Journal Article] Neuroscientific consideration of the educational effect achieved using illustrated course materials2014

    • Author(s)
      K. Kitahara, K. Usui, M. Kaneko, S. Takato
    • Journal Title

      Scientiae Mathematicae Japonicae

      Volume: Online-2014 Pages: 305-315

    • NAID

      130007643099

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Making materials based on TeX and CAS/DGS2014

    • Author(s)
      M. Kaneko, S. Yamashita, K. Kitahara, Y. Maeda, H. Usui, S. Takato
    • Journal Title

      The International Journal for Technology in Mathematics Education

      Volume: Vol.21 Nr.1 Pages: 19-25

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] A schme for demonstrating and improving the effect of CAS use in mathematics education2013

    • Author(s)
      M. Kaneko, Y. Maeda, N. Hamaguchi, T. Nozawa, S. Takato
    • Journal Title

      Proc. ICCSA2013

      Volume: 6 Pages: 62-71

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] 動的なグラフィックスと静的なグラフィックスの棲み分けに関する考察2013

    • Author(s)
      金子真隆, 高遠節夫
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 1865 Pages: 27-33

    • Related Report
      2013 Research-status Report
  • [Journal Article] プロジェクタと配付教材との連携による2重積分に関する授業の試み2013

    • Author(s)
      北原清志, 高遠節夫
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 1865 Pages: 34-42

    • Related Report
      2013 Research-status Report
  • [Journal Article] KETpicによる数学教材改善の試み2013

    • Author(s)
      金子真隆, 野澤武司, 高遠節夫
    • Journal Title

      東邦大学教養紀要

      Volume: 45 Pages: 123-133

    • Related Report
      2013 Research-status Report
  • [Journal Article] Making materials based on TeX and CAS/DGS2013

    • Author(s)
      M. kaneko, S. Yamashita, K. Kitahara, Y. Maeda, H. Usui, S. Takato
    • Journal Title

      International Journal for Technology in Mathematics Education

      Volume: 20-2

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] A scheme for demonstrating and improving the effect of CAS use in mathematics education2013

    • Author(s)
      M. Kaneko, Y. Maeda, N. Hamaguchi, T. Nozawa, S. Takato
    • Journal Title

      Proceedings of ICCSA2013

      Volume: 未定

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] 動的幾何と静的幾何の棲み分けに関する考察2013

    • Author(s)
      金子真隆, 高遠節夫
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 未定

    • Related Report
      2012 Research-status Report
  • [Journal Article] プロジェクタと配布教材との連携による2重積分に関する授業の試み2013

    • Author(s)
      北原清志, 高遠節夫
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 未定

    • Related Report
      2012 Research-status Report
  • [Journal Article] KETpicのこれまでと今後2013

    • Author(s)
      高遠節夫
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 未定

    • Related Report
      2012 Research-status Report
  • [Presentation] 動的幾何ソフトウェアを用いた効果的なTeX描画2015

    • Author(s)
      金子真隆, 山下哲, 入谷昭, 阿原一志, 高遠節夫
    • Organizer
      日本数学会2015年度年会
    • Place of Presentation
      明治大学駿河台キャンパスリバティタワー(東京都千代田区)
    • Year and Date
      2015-03-22
    • Related Report
      2014 Annual Research Report
  • [Presentation] Teaching materials incorporating interactive graphics for college-level mathematics education2014

    • Author(s)
      S. Ouchi, Y. Maeda, N. Hamaguchi, S. Takato
    • Organizer
      ATCM2014
    • Place of Presentation
      ジョグジャカルタ(インドネシア)
    • Year and Date
      2014-12-19
    • Related Report
      2014 Annual Research Report
  • [Presentation] KETCondy--collaboration of Cinderella and KETpic2014

    • Author(s)
      M. Kaneko, S. Yamashita, Y. Maeda, Y. Nakamura, S. Takato
    • Organizer
      CADGME2014
    • Place of Presentation
      ハレ(ドイツ)
    • Year and Date
      2014-09-27
    • Related Report
      2014 Annual Research Report
  • [Presentation] 図の利用効果と数学的モデルの特性との関連について2014

    • Author(s)
      金子真隆, 野澤武司, 碓氷久
    • Organizer
      日本科学教育学会第38回年会
    • Place of Presentation
      埼玉大学(埼玉県さいたま市)
    • Year and Date
      2014-09-15
    • Related Report
      2014 Annual Research Report
  • [Presentation] On some attempts to verify the effect of using high-quality graphics in mathematics education2014

    • Author(s)
      K. Kitahara, T. Takahashi, M. Kaneko
    • Organizer
      ICMS2014
    • Place of Presentation
      ソウル(韓国)
    • Year and Date
      2014-08-09
    • Related Report
      2014 Annual Research Report
  • [Presentation] Creating interactive graphics for mathematics education utilizing KETpic2014

    • Author(s)
      S. Ouchi, Y. Maeda, K. Kitahara, N. Hamaguchi
    • Organizer
      ICMS2014
    • Place of Presentation
      ソウル(韓国)
    • Year and Date
      2014-08-09
    • Related Report
      2014 Annual Research Report
  • [Presentation] 区分求積法の学習における学習者の躓きについて2014

    • Author(s)
      金子真隆, 濱口直樹, 碓氷久, 野澤武司, 山下哲, 前田善文, 北原清志, 高遠節夫
    • Organizer
      第96回全国算数・数学教育研究(鳥取)大会
    • Place of Presentation
      鳥取県西部総合事務所(鳥取県米子市)
    • Year and Date
      2014-08-01
    • Related Report
      2014 Annual Research Report
  • [Presentation] NIRS signal analysis for brain process associated to drawing graphs of trigonometric functions2014

    • Author(s)
      T. Nozawa, M. Kaneko
    • Organizer
      IGCN2014
    • Place of Presentation
      長岡技術科学大学(新潟県長岡市)
    • Year and Date
      2014-06-22
    • Related Report
      2014 Annual Research Report
  • [Presentation] 光トポグラフィーを用いた数値・文字式タスクにおける脳血流動態の追跡2013

    • Author(s)
      金子真隆, 栗本育三郎, 佐瀬巧, 山下哲, 北原清志, 池田将志, 中川匡弘
    • Organizer
      生体情報処理と高度情報処理シンポジウム2013
    • Place of Presentation
      長岡技術科学大学
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] A teaching material for double integral including three dimensional figures drawn with KETpic2012

    • Author(s)
      K. Kitahara, S Takato
    • Organizer
      Computer Algebra and Dynamic Geometry Systems in Mathematics Education
    • Place of Presentation
      Serbia, Novi Sad
    • Related Report
      2012 Research-status Report
  • [Presentation] The necessary components of materials and textbooks used in math classes2012

    • Author(s)
      S. Takato
    • Organizer
      Computer Algebra and Dynamic Geometry Systems in Mathematics Education
    • Place of Presentation
      Serbia, Novi Sad
    • Related Report
      2012 Research-status Report
  • [Presentation] The graphics use for introducing eigenvalues adn eigenvectors in linear algebra class2012

    • Author(s)
      M. Kaneko
    • Organizer
      Computer Algebra and Dynamic Geometry Systems in Mathematics Education
    • Place of Presentation
      Serbia, Novi Sad
    • Related Report
      2012 Research-status Report
  • [Presentation] 図表示された曲面に対する理解の特徴について2012

    • Author(s)
      北原清志, 高遠節夫
    • Organizer
      日本数学教育学会第94回総会
    • Place of Presentation
      福岡
    • Related Report
      2012 Research-status Report
  • [Presentation] 脳波計測に基づく数学における理解の追跡に向けて2012

    • Author(s)
      金子真隆, 栗本育三郎
    • Organizer
      日本科学教育学会第36回年会
    • Place of Presentation
      東京理科大学
    • Related Report
      2012 Research-status Report
  • [Presentation] A schme for demonstrating and improving the effect of CAS use in mathematics education

    • Author(s)
      M. Kaneko, Y. Maeda, N. Hamaguchi, T. Nozawa, S. Takato
    • Organizer
      13th International Conference on Computer Science and its Applications
    • Place of Presentation
      ベトナム・ホーチミン市
    • Related Report
      2013 Research-status Report
  • [Presentation] KETpicによる作図プログラミング書法について

    • Author(s)
      山下哲, 北原清志, 前田善文, 碓氷久, 阿原一志, 高遠節夫
    • Organizer
      研究集会「数学ソフトウェアと教育」
    • Place of Presentation
      京都大学数理解析研究所(京都市)
    • Related Report
      2013 Research-status Report
  • [Presentation] TeXによる動画表示とその応用について

    • Author(s)
      北原清志, 高遠節夫
    • Organizer
      研究集会「数学ソフトウェアと教育」
    • Place of Presentation
      京都大学数理解析研究所(京都市)
    • Related Report
      2013 Research-status Report
  • [Presentation] KETpicのEmbed関数を用いたグラフ描画の指導法

    • Author(s)
      阿部弘樹, 濱口直樹
    • Organizer
      研究集会「数学ソフトウェアと教育」
    • Place of Presentation
      京都大学数理解析研究所(京都市)
    • Related Report
      2013 Research-status Report
  • [Presentation] CASの利用に基づく正確な描画がもたらす教育効果の検証について

    • Author(s)
      金子真隆, 前田善文, 野澤武司, 濱口直樹, 高遠節夫
    • Organizer
      研究集会「数学ソフトウェアと教育」
    • Place of Presentation
      京都大学数理解析研究所(京都市)
    • Related Report
      2013 Research-status Report
  • [Presentation] 統計教材の要素と作成ツールの評価

    • Author(s)
      高遠節夫, 小柴俊彦
    • Organizer
      研究集会「数学ソフトウェアと教育」
    • Place of Presentation
      京都大学数理解析研究所(京都市)
    • Related Report
      2013 Research-status Report
  • [Presentation] 統計教育における動画の効果的な利用

    • Author(s)
      大内俊二, 高遠節夫
    • Organizer
      研究集会「数学ソフトウェアと教育」
    • Place of Presentation
      京都大学数理解析研究所(京都市)
    • Related Report
      2013 Research-status Report
  • [Presentation] 正確な図の利用による教育効果の検証について

    • Author(s)
      金子真隆, 前田善文, 濱口直樹, 野澤武司, 高遠節夫
    • Organizer
      日本科学教育学会第37回年会
    • Place of Presentation
      三重大学(三重県津市)
    • Related Report
      2013 Research-status Report
  • [Presentation] Making math textbooks and materials with TeX+KETpic+hyperlink

    • Author(s)
      Y. Maeda, M. Kaneko
    • Organizer
      The 34th Annual Meeting of the TeX Users Group
    • Place of Presentation
      東京大学駒場キャンパス(東京都目黒区)
    • Related Report
      2013 Research-status Report
  • [Presentation] 光トポグラフィーを用いた三角関数のグラフ描画タスクにおける脳内賦活機序の追跡

    • Author(s)
      野澤武司, 栗本育三郎, 田中駿也, 濱口直樹, 碓氷久, 佐瀬巧, 池田将士, 中川匡弘
    • Organizer
      生体・感性及び高度情報処理シンポジウム2014
    • Place of Presentation
      長岡技術科学大学(新潟県長岡市)
    • Related Report
      2013 Research-status Report
    • Invited
  • [Remarks] KETpicホームページ

    • URL

      http://ketpic.com

    • Related Report
      2014 Annual Research Report
  • [Remarks] KETpic HP

    • URL

      http://ketpic.com

    • Related Report
      2013 Research-status Report
  • [Remarks] KETpic HP

    • URL

      http://ketpic.com

    • Related Report
      2012 Research-status Report
  • [Remarks] ワークショップ「効果的な統計及び数学教材の開発と利用」ポスター

    • URL

      http://www.shimonoseki-cu.ac.j;p

    • Related Report
      2012 Research-status Report

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Published: 2013-05-31   Modified: 2019-07-29  

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