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Educational Practice on More Meaningful Teaching/Learning of Linear Algebra Starting from Real-Life Applications

Research Project

Project/Area Number 20500767
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Science education
Research InstitutionToyota National College of Technology

Principal Investigator

NISHIZAWA Hitoshi  豊田工業高等専門学校, 電気・電子システム工学科, 教授 (40249800)

Co-Investigator(Kenkyū-buntansha) YOSHIOKA Takayoshi  豊田工業高等専門学校, 電気・電子システム工学科, 准教授 (30270268)
Project Period (FY) 2008 – 2011
Project Status Completed (Fiscal Year 2011)
Budget Amount *help
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2011: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2010: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2009: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2008: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Keywordsものづくり / 線形代数 / 有意味学習 / 空間図形 / ベクトル方程式 / 国際研究者交流 / ベクトル方程
Research Abstract

We had presumed that major causes of students 'poor achievement in linear algebra were too high abstractness and distance of the lessons from real world applications. To compensate this situation and deepen the students' conceptual understanding, we redesigned our lesson-plan to be directed from concrete examples towards abstract mathematical ideas, from handling graphic objects and observing their characteristics towards building vector equations and manipulating them symbolically. The new lessons are changing our students learning style from black-box approach to more meaningful one.

Report

(6 results)
  • 2011 Annual Research Report   Final Research Report ( PDF )
  • 2010 Annual Research Report   Self-evaluation Report ( PDF )
  • 2009 Annual Research Report
  • 2008 Annual Research Report
  • Research Products

    (31 results)

All 2012 2011 2010 2009 2008 Other

All Journal Article (13 results) (of which Peer Reviewed: 13 results) Presentation (14 results) Remarks (4 results)

  • [Journal Article] 具体から抽象へ向かう線形代数の理解度深化の試み2012

    • Author(s)
      西澤一,吉岡貴芳
    • Journal Title

      論文集「高専教育」

      Volume: 第35号 Pages: 215-220

    • NAID

      110009559210

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] 具体から抽象へ向かう線形代数の理解度深化の試み2012

    • Author(s)
      西澤一
    • Journal Title

      論文集「高専教育」

      Volume: 35 Pages: 215-220

    • NAID

      110009559210

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The Effectiveness of ICT-assisted Approach in Learning 3D Linear Algebra2011

    • Author(s)
      Nishizawa, H., Yamada, Y., Yoshioka, T.
    • Journal Title

      16^<th> Asian Technology Conference in Mathematics

      Pages: 281-290

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Virtual Game for Deepening Students Conceptual Understanding of 3D Vector Operations2011

    • Author(s)
      Nishizawa, H., Yamada, Y., Yoshioka, T.
    • Journal Title

      International Conference Virtual and Augmented Reality in Education

      Pages: 30-34

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] The Effectiveness of ICT-assisted Approach in Learning 3D Linear Algebra2011

    • Author(s)
      H.Nishizawa
    • Journal Title

      Proc.16^<th> Asian Technology Conference in Mathematics

      Pages: 281-290

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Virtual Game for Deepening Students' Conceptual Understanding of 3D Vector Operations2011

    • Author(s)
      Nishizawa, H., Yamada, Y., Yoshioka, T.
    • Journal Title

      Proc.International Conference Virtual and Augmented Reality in Education

      Pages: 30-34

    • Related Report
      2010 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Virtual Game for Deepening Students' Conceptual Understanding of 3D Vector Operations2011

    • Author(s)
      H.Nishizawa
    • Journal Title

      Proc.International Conference "Virtual and Augmented Reality in Education"(VARE 2011)

      Pages: 30-34

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A System of Helping Concept-Building in 3D Linear Algebra by Connecting Graphics, Symbolic, and Verbal Representations2010

    • Author(s)
      Nishizawa, H., Zgraggen, B., Yoshioka, T.
    • Journal Title

      The Electronic J. of Mathematics and Technology

      Volume: 4(2) Pages: 175-183

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] A System of Helping Concept-Building in 3D Linear Algebra by Connecting Graphics, Symbolic, and Verbal Representations2010

    • Author(s)
      Nishizawa, H., Zgraggen, B., Yoshioka, T.
    • Journal Title

      Proc.The Electronic J. of Mathematics and Technology 4-2

      Pages: 175-183

    • Related Report
      2010 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] A System for Helping Concept-Building of 3D Linear Algebra by Connecting Graphics, Symbolic, and Verbal Representations2009

    • Author(s)
      H.Nishizawa
    • Journal Title

      Proc.14^<th> Asian Technology Conference in Mathematics

      Pages: 245-253

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A Proposal to Teach 3D Vector Operations in a Role-Playing Game2008

    • Author(s)
      Nishizawa, H., Yoshioka, T.
    • Journal Title

      13^<th> Asian Technology Conference in Mathematics

      Pages: 364-369

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] A Proposal to Teach 3D Vector Operations in a Role-Playing Game2008

    • Author(s)
      Nishizawa, H., Yoshioka, T.
    • Journal Title

      Proc.13th Asian Technology Conference in Mathematics

      Pages: 364-369

    • Related Report
      2010 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] A Proposal to Teach 3D Vector Operations in a Role-Playing Game2008

    • Author(s)
      H. Nishizawa
    • Journal Title

      Proc. 13^<th> Asian Technology Conference in Mathematics (ATCM2008)

      Pages: 364-369

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Presentation] 具体から抽象へ向かう線形代数の理解度深化の試み2011

    • Author(s)
      西澤一
    • Organizer
      H23年度全国高専教育フォーラム教育研究活動発表会
    • Place of Presentation
      鹿児島大学
    • Year and Date
      2011-08-25
    • Related Report
      2011 Annual Research Report 2011 Final Research Report
  • [Presentation] The Tournament : Virtual Game Using 3D Vectors2011

    • Author(s)
      Yamada, Y.
    • Organizer
      International Conference "Virtual and Augmented Reality in Education"
    • Place of Presentation
      Vidzeme University of Applied Sciences, Latvia
    • Year and Date
      2011-03-18
    • Related Report
      2011 Final Research Report
  • [Presentation] The Tournament : Virtual Game Using 3D Vectors2011

    • Author(s)
      Yamada, Y.
    • Organizer
      International Conference "Virtual and Augmented Reality in Education"
    • Place of Presentation
      Vidzeme University of Applied Sciences, Latvia.
    • Year and Date
      2011-03-18
    • Related Report
      2010 Self-evaluation Report
  • [Presentation] The Tournament : Virtual Game Using 3D Vectors2011

    • Author(s)
      Y.Yamada
    • Organizer
      International Conference "Virtual and Augmented Reality in Education"(VARE 2011)
    • Place of Presentation
      Vidzeme University of Applied Sciences, Latvia
    • Year and Date
      2011-03-18
    • Related Report
      2010 Annual Research Report
  • [Presentation] MATHEMATICA module Showing Dynamic Link of 3D Graphic Objects and Vector Equations2010

    • Author(s)
      Nishizawa, H.
    • Organizer
      15^<th> Asian Technology Conference in Mathematics
    • Place of Presentation
      University of Malaya, Malaysia
    • Year and Date
      2010-12-19
    • Related Report
      2011 Final Research Report
  • [Presentation] MATHEMATICA module Showing Dynamic Link of 3D Graphic Objects and Vector Equations2010

    • Author(s)
      Nishizawa, H.
    • Organizer
      15th Asian Technology Conference in Mathematics
    • Place of Presentation
      University of Malaya, Malaysia.
    • Year and Date
      2010-12-19
    • Related Report
      2010 Self-evaluation Report
  • [Presentation] MATHEMATICA module Showing Dynamic Link of 3D Graphic Objects and Vector Equations2010

    • Author(s)
      H.Nishizawa
    • Organizer
      15TH Asian Technology Conference in Mathematics
    • Place of Presentation
      University of Malaya, Malaysia
    • Year and Date
      2010-12-19
    • Related Report
      2010 Annual Research Report
  • [Presentation] Cabri 3D Module to Visualize the Construction of 3D Vector Equation2009

    • Author(s)
      Asano, T.
    • Organizer
      14th Asian Technology Conference in Mathematics
    • Place of Presentation
      Beijin Normal University, China.
    • Year and Date
      2009-12-19
    • Related Report
      2010 Self-evaluation Report
  • [Presentation] Software Module Showing Dynamic Link of 3D Graphic Objects and Vector Equations2009

    • Author(s)
      Kishi, N.
    • Organizer
      14th Asian Technology Conference in Mathematics
    • Place of Presentation
      Beijin Normal University, China.
    • Year and Date
      2009-12-19
    • Related Report
      2010 Self-evaluation Report
  • [Presentation] Constructing a Game for Introducing 3D Vector Operations2009

    • Author(s)
      Yamada, Y.
    • Organizer
      14th Asian Technology Conference in Mathematics
    • Place of Presentation
      Beijin Normal University, China.
    • Year and Date
      2009-12-19
    • Related Report
      2010 Self-evaluation Report
  • [Presentation] Cabri 3D Module to Visualize the Construction of 3D Vector Equation2009

    • Author(s)
      T.Asano
    • Organizer
      Proc.14^<th> Asian Technology Conference in Mathematics
    • Place of Presentation
      Beijing Normal University, China
    • Year and Date
      2009-12-19
    • Related Report
      2009 Annual Research Report
  • [Presentation] Software Module Showing Dynamic Link of 3D Graphic Objects and Vector Equations2009

    • Author(s)
      N.Kishi
    • Organizer
      Proc.14^<th> Asian Technology Conference in Mathematics
    • Place of Presentation
      Beijing Normal University, China
    • Year and Date
      2009-12-19
    • Related Report
      2009 Annual Research Report
  • [Presentation] Constructing a Game for Introducing 3D Vector Operations2009

    • Author(s)
      Y.Ymamada
    • Organizer
      Proc.14^<th> Asian Technology Conference in Mathematics
    • Place of Presentation
      Beijing Normal University, China
    • Year and Date
      2009-12-19
    • Related Report
      2009 Annual Research Report
  • [Presentation] Cabri 3D Module to Visualize the Construction of 3D Vector Equation

    • Author(s)
      Asano, T.
    • Organizer
      14^<th> Asian Technology Conference in Mathematics
    • Related Report
      2011 Final Research Report
  • [Remarks] ホームページ等線形代数学習システム「ぷにぷにベクトル」HP

    • URL

      http://orchard.ee.toyota-ct.ac.jp/

    • Related Report
      2011 Final Research Report
  • [Remarks]

    • URL

      http://orchard.ee.toyota-ct.ac.jp/

    • Related Report
      2011 Annual Research Report
  • [Remarks] 線形代数学習システム「ぷにぷにベクトル」

    • URL

      http://orchard.ee.toyota-ct.ac.jp

    • Related Report
      2010 Self-evaluation Report
  • [Remarks]

    • URL

      http://orchard.ee.toyota-ct.ac.jp/

    • Related Report
      2010 Annual Research Report

URL: 

Published: 2008-04-01   Modified: 2016-04-21  

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