Verification of learning effectiveness by visualizing mathematical knowledge structure

2015 Fiscal Year Final Research Report

• 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
• 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.

Free Research Field

e-learning