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2013 Fiscal Year Final Research Report

A research on development and long-term evaluation of e-learning materials for promoting students' understanding of mathematical concepts

Research Project

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Project/Area Number 21500882
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Science education
Research InstitutionOsaka Prefecture University

Principal Investigator

KAWAZOE Mitsuru  大阪府立大学, 高等教育推進機構, 教授 (10295735)

Co-Investigator(Kenkyū-buntansha) OKAMOTO Masahiko  大阪府立大学, 人間社会学部, 教授 (40254445)
TAKAHASHI Tetsuya  大阪府立大学, 高等教育推進機構, 教授 (20212011)
Project Period (FY) 2009-04-01 – 2014-03-31
Keywordseラーニング / 数学教育 / 高等教育
Research Abstract

We analyzed students' errors in understanding mathematical concepts in linear algebra and developed e-learning materials to promote students' understanding of mathematical concepts in linear algebra. The result of a long-term evaluation showed that the materials promoted students' conceptual understanding of Gaussian elimination for solving systems of linear equations. On the other hand, students' understanding of basis and dimension of formal vector spaces was not promoted. The qualitative analysis of students' answers indicated that for promoting students' understanding of formal vector spaces, it is important to develop students' mental representations on geometrical vectors and sets.

  • Research Products

    (14 results)

All 2014 2013 2011 2010 2009 Other

All Journal Article (5 results) (of which Peer Reviewed: 5 results) Presentation (8 results) Remarks (1 results)

  • [Journal Article] Students'mental representations of geomet- ric vectors and sets related to linear alge- bra2014

    • Author(s)
      M. Kawazoe,M. OKamoto,T. Takahashi
    • Journal Title

      Proceedings of the 38th Conference of the International Group for the Psychology of Mathematics Education

      Volume: (掲載決定)

    • Peer Reviewed
  • [Journal Article] Web-based system for after-class learning in college mathematics via computer algebra system2013

    • Author(s)
      M. Kawazoe, T. Takahashi, K. Yoshitomi
    • Journal Title

      Proceedings of the 6th East Asia Regional Conference on Mathematics Edu- cation

      Volume: Vol.2 Pages: 476-485

    • Peer Reviewed
  • [Journal Article] 線形代数における誤答パターンの分類とeラーニングへの応用2011

    • Author(s)
      川添充, 吉冨賢太郎
    • Journal Title

      第44回数学教育論文発表会論文集

      Pages: 375-380

    • Peer Reviewed
  • [Journal Article] 線形代数の教授内容の関連性と指導のポイントに関する考察2011

    • Author(s)
      川添充, 岡本真彦, 高橋哲也
    • Journal Title

      2011年度日本認知科学会第28回大会発表論文集

      Pages: 328-334

    • URL

      http://www.jcss.gr.jp/meetings/JCSS2011/proceedings/pdf/JCSS2011P1-35.pdf

    • Peer Reviewed
  • [Journal Article] 大学初年次線形代数の理解パターンの分析2010

    • Author(s)
      川添充, 岡本真彦, 高橋哲也
    • Journal Title

      第43回数学教育論文発表会論文集

      Pages: 807-812

    • Peer Reviewed
  • [Presentation] Students'mental representations of geomet- ric vectors and sets related to linear alge- bra2014

    • Author(s)
      M. Kawazoe, M. OKamoto, T. Takahashi
    • Organizer
      The 38th Conference of the Interna- tional Group for the Psychology of Math- ematics Education (PME38)
    • Place of Presentation
      University of British Columbia, Vancouver, Canada
    • Year and Date
      20140715-20(発表決定, 発表日未定)
  • [Presentation] Web-based system for after-class learning in college mathematics via computer al- gebra system2013

    • Author(s)
      M. Kawazoe, T. Takahashi, K. Yoshitomi
    • Organizer
      The 6th East Asia Re- gional Conference on Mathematics Edu- cation (EARCOME6)
    • Place of Presentation
      Prince of Songkla University, Phuket, Thai- land
    • Year and Date
      2013-03-21
  • [Presentation] 線形代数における誤答パターンの分類とeラーニングへの応用2011

    • Author(s)
      川添充, 吉冨賢太郎
    • Organizer
      第44回数学教育論文発表会
    • Place of Presentation
      上越教育大学
    • Year and Date
      2011-11-12
  • [Presentation] 線形代数の教授内容の関連性と指導のポイントに関する考察2011

    • Author(s)
      川添充, 岡本真彦, 高橋哲也
    • Organizer
      2011年度日本認知科学会第28回大会
    • Place of Presentation
      東京大学
    • Year and Date
      2011-09-22
  • [Presentation] 大学初年次線形代数の理解パターンの分析2010

    • Author(s)
      川添充, 岡本真彦, 高橋哲也
    • Organizer
      第43回数学教育論文発表会
    • Place of Presentation
      宮崎大学
    • Year and Date
      2010-11-13
  • [Presentation] 授業時間外学習のための数学eラーニング・システムの構築とその効果2010

    • Author(s)
      川添充, 高橋哲也, 吉冨賢太郎
    • Organizer
      日本リメディアル教育学会第6回全国大会
    • Place of Presentation
      湘南工科大学
    • Year and Date
      2010-08-30
  • [Presentation] webMathe- maticaを用いたWeb数学学習システムの構築2010

    • Author(s)
      川添充, 高橋哲也, 吉冨賢太郎
    • Organizer
      日本数学教育学会算数数学教育全国大会
    • Place of Presentation
      新潟朱鷺メッセ
    • Year and Date
      2010-08-02
  • [Presentation] Web-based learning system for college math- ematics powered by a computer algebra system2009

    • Organizer
      日本リメディアル教育学会九州沖縄支部大会ITK-FUKUOKA2009合同講演会
    • Place of Presentation
      福岡大学
    • Year and Date
      2009-11-06
  • [Remarks]

    • URL

      http://www.las.osakafu-u.ac.jp/lecture/math/MathOnWeb/

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Published: 2015-07-16  

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