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Formula Manipulation and its Application to Methematical Education

Research Project

Project/Area Number 06804011
Research Category

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

Allocation TypeSingle-year Grants
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionTokyo Denki University

Principal Investigator

HITOTUMATU Sin  Tokyo Denki University, Department of Science and Technology, Professor, 理工学部, 教授 (10027378)

Co-Investigator(Kenkyū-buntansha) KASAJIMA Tomomi  Sophia University, Department of Science and Technology, Assistant, 理工学部, 助手 (60053550)
KAMINAGA Masahiro  Tokyo Denki University, Department of Science and Technology, Assistant, 理工学部, 助手 (60266872)
Project Period (FY) 1994 – 1995
Project Status Completed (Fiscal Year 1995)
Budget Amount *help
¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 1995: ¥300,000 (Direct Cost: ¥300,000)
Fiscal Year 1994: ¥500,000 (Direct Cost: ¥500,000)
KeywordsFormula Manipulation / Mathematical Education / Calculus / Computer Graphics / コンピューターグラフィックス / 数式処理システム / 知的CAI
Research Abstract

Recent "Formula Manipulation Systems" are capable not only with symbolic computation but also with threefold Numeric-Symbolic-Graphic facilities. They give powerful tools for mathematical education as well as research works.
Following previous year's works, we have tried using such systems to construct educational drawings to "understand through looking", especially for calculus. The results will be published in a study report.
Regrettedly, according to the time limitation, our report is still an intermediate one. But we are preparing a texthook with explanation. Further we plan series to learn "calculus through seeing".
The education of calculus in Japan has been believed to be well organized until recent days. However after 1990, it declines rapidly and is going to collapse. We feel much behind to recent renewal movements especially in United States.
For future education in Mathematics as well as calculus, we cannot avoid new technologies including computers. For example, we may use computer for tedious calculation, and have deeper understanding through figures. As its first step, I hope that our work was succesful.

Report

(3 results)
  • 1995 Annual Research Report   Final Research Report Summary
  • 1994 Annual Research Report
  • Research Products

    (16 results)

All Other

All Publications (16 results)

  • [Publications] 一松 信: "グラフ電卓を数学に" グラフ電卓を数学に-活用の意義と教材集(教育社). (巻頭論文). 6-20 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Sin Hitotumatu: "A few Regular Lattices and Related Series" Mathematica Japonica. 41. 339-349 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 一松 信: "基礎微分積分学入門" 近代科学社, 223 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 一松 信: "数学とコンピュータ" 共立出版, 164 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Sin Hitotumatu: "Let's bring Graphic Calculator into Mathematics (in Japanese)" Graohic Calculator to Mathematics -Its meaning and Teaching Examples (Kyoikusha). 6-20 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Sin Hitotumatu: "A few Regular Lattices and Related Series" Mathematica Japonica. vol.41, no.4. 339-349 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Sin Hitotumatu: Introduction to Basic Calculus (in Japanese). Kindai-Kagakusha, 223 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Sin Hitotumatu: Methematics and Computer (in Japanese). Kyoritsu-Shuppan, 164 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 一松信: "グラフ電卓を数学に(巻頭論文)" グラフ電卓を数学に一治用の意義と教材集(教育社). 6-20 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] Sin Hitotumatu: "A few Regvlar Lattices and Related Series" Mathematica Saponica. 41. 339-349 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 一松信: "基礎微分積分学入門" 近代科学社, 223 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 一松信: "数学とコンピュータ" 共立出版, 164 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] Sin Hitotumatu: "On various Centers of a Triangle" Research Activities,The Faculty of Science and Engineering. 16. 1-7 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] Sin Hitotumatu: "A few Regular Lattices and related Series" Mathematica Japonicae. 41. 339-349 (1995)

    • Related Report
      1994 Annual Research Report
  • [Publications] 一松信: "代数学入門第三課" 近代科学社, 196 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 一松信: "基礎の数学:微分積分学I-はじめて学ぶ人のために" 丸善, 142 (1995)

    • Related Report
      1994 Annual Research Report

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Published: 1994-04-01   Modified: 2016-04-21  

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