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Computer Application for Mathematics Education

Research Project

Project/Area Number 63580240
Research Category

Grant-in-Aid for General Scientific Research (C)

Allocation TypeSingle-year Grants
Research Field 科学教育(含教育工学)
Research InstitutionWaseda University

Principal Investigator

SUNOUCHI Haruo  Waseda Univ., School of Sc. Eng. Prof., 理工学部, 教授 (80063238)

Co-Investigator(Kenkyū-buntansha) IWAIHARA Sinichi  Waseda Univ., Zitsugyo High School, Teacher, 早稲田実業, 教諭
TAKIZAWA Takenobu  Waseda Univ., School of Pol. Econ. Assist. Prof., 政経学部, 助教授 (70119519)
ISIGAKI Haruo  Waseda Univ., School of Educ. Prof., 教育学部, 教授 (60063492)
NOGUCHI Hirosi  Waseda Univ., School of Sc. Eng. Prof., 理工学部, 教授 (60063294)
TERADA Fumiyuki  Waseda Univ., School of Sc. Eng. Prof., 理工学部, 教授 (30063324)
Project Period (FY) 1988 – 1989
Project Status Completed (Fiscal Year 1989)
Budget Amount *help
¥2,300,000 (Direct Cost: ¥2,300,000)
Fiscal Year 1989: ¥1,100,000 (Direct Cost: ¥1,100,000)
Fiscal Year 1988: ¥1,200,000 (Direct Cost: ¥1,200,000)
KeywordsCAI Fuzzy Theory / Error-analysis / Expert System / FRS analysis / Multi-media / Video-disk / Addition of Fractional Numbers / 分数の加算 / CAI学習 / 分数加算の誤答解析法 / 教材構造 / FRS分析法 / マルティメディア / マルチメディア / CAI教材 / ファジイ / エキスパート・システム
Research Abstract

We have made our efforts to analyze the logical structure of the teaching materials through computers, in order to improve mathematics education. This research is along this idea. Main topics selected are:
(1) in order to activate mathematics education in liberal arts, development of the teaching materials and measuring of its effects, using the multi-media. Theoretical background of it is based on the fuzzy theory.
(2) Development of practical methods of using personal computers in analyzing the logical structures of teaching materials. In particular, to make the teaching materials into CAI, video disks or computer graphics and others,and compare their effects.
(3) Development of the error-analysis methods, using the expert-system. Our attentions are focused at addition of the fractional numbers. We can find out error-algorithms used by students, through answers of the test. This study is positioned as an example of the research of AI(artificial intelligence).
We studied three above main topics from both theoretical and practical points of views, and several improvements in teaching are attained.

Report

(3 results)
  • 1989 Annual Research Report   Final Research Report Summary
  • 1988 Annual Research Report
  • Research Products

    (21 results)

All Other

All Publications (21 results)

  • [Publications] 洲之内治男: "分数加算の誤答解析(I)〜(IV)" 科学教育学会・年会論文集. 10〜13. (1986 1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1989 Final Research Report Summary
  • [Publications] Fumiyuki Terada: "Computer-Assisted Curriculum in Mathematics" I.U.T.(1988)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1989 Final Research Report Summary
  • [Publications] 寺田文行: "レ-ザ-ビジョンを教材媒体としたCAI" 早稲田教育評論. 2. 11-30 (1988)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1989 Final Research Report Summary
  • [Publications] 山下元: "ファジィ-理論を応用した教材構造分析" 早稲田教育評論. 2. 93-123 (1988)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1989 Final Research Report Summary
  • [Publications] Hajime Yamashita: "Approximate Algorithm of Fuzzy Graph and its Applications" Int'l Fuzzy System Association. 3. (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1989 Final Research Report Summary
  • [Publications] H.Sunouchi and S.Suzuki: "Error-Analysis of the Addition of Fractional Numbers." Proc.Annual Meeting of Science Education 1988, 1989.

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1989 Final Research Report Summary
  • [Publications] F.Terada: "Computer-Assisted Curriculum in Mathematics." I.U.T., 1988.

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1989 Final Research Report Summary
  • [Publications] H.Yamasita: "Approximate Algorithm of Fuzzy Graph and its Applications." Int'l.Fuzzy System Association, 3, 1989.

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1989 Final Research Report Summary
  • [Publications] T.Takizawa, S.Iwaihara et al: "An Application of Fuzzy Thory to Instructional Structure Analysis." Waseda Education Review, 3.1989.

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1989 Final Research Report Summary
  • [Publications] Y.Yamasita, N.Takizawa, S.Iwaihara et al: "Logical Structure Analysis Applying the Fuzzy Theory." J.of Math. Ed.of Waseda Univ.71989.

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1989 Final Research Report Summary
  • [Publications] H.Isigaki: "Application of Personal Computers to Concept Formation." Waseda Education Review, 3.1989.

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1989 Final Research Report Summary
  • [Publications] 洲之内治男,鈴木伸: "分数加算の誤答解析(III)" 日本科学教育学会年会論文集. 12. (1988)

    • Related Report
      1989 Annual Research Report
  • [Publications] 洲之内治男,鈴木伸: "分数加算の誤答解析(IV)" 日本科学教育学会年会論文集. 13. 359-362 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] 洲之内治男,他5名: "ファジィ理論を応用した教材構造分析" 日本教育工学会大会論集. (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] 寺田文行,他6名: "マジョリティの為の数学教育の方法と探求" 早稲田教育評論. Vol.3. (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] 勝又保雄,他3名: "Instruction Cluster Analysis Appling Fuzzy Graph" Educational Technology Int'l Conperence 23-th. (1988)

    • Related Report
      1989 Annual Research Report
  • [Publications] 山下元: "Approximate Algorithem of Fuzzy Groph and its Applications" Int'l Fuzzy System Association 3rd. (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] Fumiyuki Terada.: I.U.T. (1988)

    • Related Report
      1988 Annual Research Report
  • [Publications] 寺田文行: 早稲田教育評論. 2. 11-30 (1988)

    • Related Report
      1988 Annual Research Report
  • [Publications] 山下元: 早稲田教育評論. 2. 93-123 (1988)

    • Related Report
      1988 Annual Research Report
  • [Publications] 寺田文行: 科学教育研究. vol<13,No.1. (1989)

    • Related Report
      1988 Annual Research Report

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Published: 1988-04-01   Modified: 2016-04-21  

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