Verification of learning effectiveness by visualizing mathematical knowledge structure

• Project/Area Number: 25350359
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Educational technology
• Research Institution: Kanazawa Institute of Technology
• Principal Investigator: Nakamura Akira 金沢工業大学, 基礎教育部, 教授 (60387355)
• Project Period (FY): 2013-04-01 – 2016-03-31
• Project Status: Completed (Fiscal Year 2015)
• Budget Amount: ¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000); Fiscal Year 2015: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000); Fiscal Year 2014: ¥260,000 (Direct Cost: ¥200,000、Indirect Cost: ¥60,000); Fiscal Year 2013: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
• Keywords: 知識構造 / 数学 / ネットワーク / グラフ / 可視化 / ハイパーリンク

Outline of Final Research Achievements

For the purpose of visualization, network graph of knowledge structure of mathematics was created based on the hyperlink structure of our mathematical e-learning website “KIT Mathematics Navigation” as the hyperlink structure　among web pages containing mathematical knowledge is similar to knowledge structure. A hierarchy of mathematical knowledge is successfully calculated by using characteristic of hyperlinks that the directions of hyperlinks are from the web pages whose contents are more advanced to the ones whose contents are more basic. We can intuitively know the importance of mathematical knowledge by the size of nodes of network graph and the knowledge level of mathematics by the color of nodes. Learners are able to learn mathematics efficiently and effectively by using the network graph.

Research Products

• [Journal Article] Self-adaptive e-Learning Website for Mathematics (2016)
  • Author(s): Akira Nakamura
  • Journal Title: International Journal of Information and Education Technology Volume: 6 Issue: 12 Pages: 961-965
  • DOI: 10.7763/ijiet.2016.v6.825
  • Peer Reviewed / Open Access
• [Journal Article] Graph Drawing of Knowledge Structure of Mathematics (2014)
  • Author(s): Akira Nakamura
  • Journal Title: The SIJ Transactions on Computer Science Engineering & its Applications (CSEA) Volume: 2 Pages: 161-165
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] Graph Drawing of Knowledge Structure of Mathematics (2014)
  • Author(s): Akira Nakamura
  • Journal Title: The Standard International Journals Special Annual Issue 2014 Volume: Special Annual Issue Pages: 40-44
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] Hierarchy Construction of Mathematical Knowledge (2014)
  • Author(s): Akira Nakamura
  • Journal Title: Lecture Notes on Information Theory Volume: 2 Pages: 203-207
  • DOI: 10.12720/lnit.2.2.203-207
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Presentation] ネットワークグラフを用いた数学知識構造の可視化 (2016)
  • Author(s): 中村晃
  • Organizer: 大学eラーニング協議会 総会・フォーラム２０１５
  • Place of Presentation: 信州大学長野キャンパス(長野県長野市)
  • Year and Date: 2016-03-17
• [Presentation] 数学e-ラーニングサイトのハイパーリンク構造の最適化 (2015)
  • Author(s): 中村晃
  • Organizer: 日本工学教育協会 第63回年次大会
  • Place of Presentation: 九州大学伊都キャンパス（福岡県福岡市）
  • Year and Date: 2015-09-02
• [Presentation] Self-adaptive e-Learning Website for Mathematics (2015)
  • Author(s): Akira Nakamura
  • Organizer: 2015 6th International Conference on Education and Management Technology
  • Place of Presentation: The Cityview（中国 香港）
  • Year and Date: 2015-08-25
  • Int'l Joint Research
• [Presentation] Graph Drawing of Knowledge Structure of Mathematics Combined with Knowledge Level (2015)
  • Author(s): Akira Nakamura
  • Organizer: INTED2015 Conference (9th International Technology, Education and Development Conference)
  • Place of Presentation: Madrid(Spain)
  • Year and Date: 2015-03-02 – 2015-03-04
• [Presentation] 数学知識構造のグラフとウェブ教材の連携 (2014)
  • Author(s): 中村晃
  • Organizer: 教育システム情報学会 第39回全国大会
  • Place of Presentation: 和歌山大学（和歌山県・和歌山市）
  • Year and Date: 2014-09-10 – 2014-09-12
• [Presentation] 知識構造の可視化を利用したウェブ教材の改善 (2014)
  • Author(s): 中村晃
  • Organizer: 日本工学教育協会 平成26年度工学教育研究講演会
  • Place of Presentation: 広島大学（広島県・東広島市）
  • Year and Date: 2014-08-28 – 2014-08-30
• [Presentation] Hierarchy Construction of Mathematical Knowledge (2014)
  • Author(s): Akira Nakamura
  • Organizer: The 3rd International Conference on Advancements in Information Technology
  • Place of Presentation: Dubai(UAE)
  • Year and Date: 2014-08-22 – 2014-08-30
• [Presentation] Visualization of Knowledge Structure of Mathematics (2014)
  • Author(s): Akira Nakamura
  • Organizer: International Symposium on Education, Psychology, Society and Tourism
  • Place of Presentation: Tokyo, Toshi Center Hotel
• [Presentation] 数学知識構造の可視化 (2013)
  • Author(s): 中村晃
  • Organizer: 教育システム情報学会
  • Place of Presentation: 金沢大学
• [Remarks] KIT数学ナビゲーション
  • URL: http://w3e.kanazawa-it.ac.jp/math/
• [Remarks] KIT数学ナビゲーションによる数学知識構造の可視化
  • URL: http://w3e.kanazawa-it.ac.jp/math/gexf-js/index.cgi
• [Remarks] 数学知識構造の可視化
  • URL: http://w3e.kanazawa-it.ac.jp/math/gexf-js/index.cgi
• [Remarks] 「KIT数学ナビゲーション」が「第11回 日本e-Learning大賞」ニューテクノロジー賞を受賞
  • URL: http://www.kanazawa-it.ac.jp/kitnews/2014/1197869_3722.html
• [Remarks] KIT数学ナビゲーション
  • URL: http://w3e.kanazawa-it.ac.jp/math/
• [Remarks] 数学の知識構造の可視化
  • URL: http://w3e.kanazawa-it.ac.jp/math/gexf-js/index.cgi