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1996 Fiscal Year Final Research Report Summary

To develop a text of differential equations by using mathematica and observe its educational effect.

Research Project

Project/Area Number 07459025
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field 広領域
Research InstitutionKONAN UNIVERSITY

Principal Investigator

MURAKAMI Haruo  Konan University, Department of Management Science and Information Systems, Professor, 理学部, 教授 (50031042)

Co-Investigator(Kenkyū-buntansha) MATSUMOTO Shigeki  Konan University, Department of Management Science and Information Systems, Asso, 理学部, 助教授 (50190525)
Project Period (FY) 1995 – 1996
KeywordsDifferential Equations / Development of Text / Mathematica / Learning by Discovery / Exploring Mathematics
Research Abstract

The objective of this research is "to develop a text of differential equations by using Mathematica" and "to observe its educational effect". We developed a text of differential equations with Mathematica, by which a student can solve given problems easily, learn not passively but actively by trying as many cases as one likes to find laws or rules underlying the subjects, and develop the problems further. By observing what our students learned by using the text we developed, we can say that our project was successful and our aim was accomplished.
We also applied this method of "learning by discovery" for other mathematical subjects. In our experiment, we gave some interesting problems through Internet and encourage students to observe them and make conjectures by trying many cases. We then ask the students to prove or disprove the conjectures if possible. The result of the experiment shows that the "learning by discovery by using mathematica" is pedagogically speaking a really good and very efficient way of learning. We will publish our differential equation text as a book, and hope to open it to the public in some form on Internet.

  • Research Products

    (8 results)

All Other

All Publications (8 results)

  • [Publications] 村上温夫、松本茂樹: "インターネット時代の数学教育" 日本数学教育学会誌. 79-3. (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 松本茂樹: "ICME8/TG4における遠隔数学教育″公開実験″事例" 日本数学教育学会誌. 79-3. (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 村上温夫: "A^*法に從うアジェンダ制御による構文解析" 自然言語処理. 3-3. 69-82 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 村上温夫、松村茂樹: "Teaching Mathenatics at a Distance" ICMI Regional Conference. 553-559 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Haruo Murakami and Shigeki Matsumoto: "Mathematical Education in the Internet Era" Journal of Japan Society of Mathematical Education. Vol.73-3. 50-56 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Shigeki Matsumoto: "An Experiment of Distance Learning at ICME8/TG4" Journal of Japan Society of Mathematical Education. Vol.73-3. 57-63 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Haruo Murakami: "Syntactic Analysis by A^<**> method" Natural Language Processing. Vol.3-3. 69-82 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Haruo Murakami and Shigeki Matsumoto: "Teaching Mathematics at a Distance" Proc.ICMI Regional Conf.at Monash Univ., Melbourne. 553-559 (1995)

    • Description
      「研究成果報告書概要(欧文)」より

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Published: 1999-03-09  

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