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1995 Fiscal Year Final Research Report Summary

A RESEARCH INTO TERMS AND SENTENCE STYLES OF MATHEMATICAL TEXTBOOKS

Research Project

Project/Area Number 06680184
Research Category

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

Allocation TypeSingle-year Grants
Research Field Science education
Research InstitutionSCIENCE UNIVERSITY OF TOKYO

Principal Investigator

HOSOI Tsutomu  SCIENCE UNIVERSITY OF TOKYO, SCIENCE AND TECHNOLOGY, PROFESSOR, 理工学部, 教授 (30055305)

Co-Investigator(Kenkyū-buntansha) MORI Masao  CHUO UNIVERSITY, SCIENCE AND TECHNOLOGY, LECTURER, 理工学部, 講師 (30055181)
NAGANO Higashi  SCIENCE UNIVERSITY OF TOKYO, SCIENCE, LECTURER, 理学部, 講師 (10198343)
SHIMADA Shigeru  SCIENCE UNIVERSITY OF TOKYO, SCIENCE, PROFESSOR, 理学部, 教授
MATSUO Yoshitomo  SCIENCE UNIVERSITY OF TOKYO, SCIENCE, PROFESSOR, 理学部, 教授
Project Period (FY) 1994 – 1995
KeywordsMathematical Education / Mathematical terms / Definition Sentences / Incompletely defined notions
Research Abstract

We investigated into the mathematical terms and mathematical notions used in the mathematical education of the elementary and the middle level. We found many concrete examples of terms and notions incompletely or insufficiently defined.
One example of such is "ippan-kaku", which is a Japanese word for English "general angle". It is not clear if this notion is a generalized notion for angles or a generalized notion for expressing the measure of angles, and so, it is not clear if the expression as 40゚ can be regarded as " ippan-kaku" or not. If the expression as 40゚ +n*360゚ (n=0, <plus-minus>1, <plus-minus>2, <plus-minus>3, ・・・) is "ippan-kaku", then this is neither an angle nor an expression for an angle, but something else. This makes pupils confused when they are asked in examinations "to answer the problem using ippan-
We published three books to explain these linguistic problems.

  • Research Products

    (22 results)

All Other

All Publications (22 results)

  • [Publications] 細井勉: "日常語の論理と数学語の論理(数学のよりよい指導法をめざして)" 発展(愛知教育大学). 3. 7-21 (1994)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 細井勉: "日常会話に見る論理" 日本数学教育学会会誌. 77-3. 6-6 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 細井勉: "背理法と二重否定" 日本数学教育学会会誌. 77-9. 9-9 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 細井勉: "数学が「一般」というとき" 数学セミナー. 35-2. 42-45 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 細井勉: "二重の否定" 日本数学教育学会会誌. 78(印刷中). (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 細井勉: "Logics behind Natural Languages" Proceedings of Tenth International Congress of Logic,Methodology and Philosophy of Science. 565-569 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 細井勉: "What kind of logical education should be given to the candidates of mathematics teachers?" Proceedings of Seventh South East Asian Conference of Mathematics Education. (発表予定). (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 細井勉: "わかるイプシロン・デルタ" 日本評論社, 217 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 細井勉(共著): "身につく線形代数" 共立出版, 145 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 細井勉(共著): "身につく微積分" 共立出版, 141 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 細井勉(共著): "理工学辞典" 日刊工業新聞社, 2000 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Tsutomu HOSOI: "The Logic of Daily Languages and the Logic of Mathematical Languages" Development of H.S.M.3. 7-21 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Tsutomu HOSOI: "The Logic seen in Daily Conversation by Japanese" J.of JSME. 77-3. 6 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Tsutomu HOSOI: "Reduction to absurdity and double negations" J.of JSME. 77-9. 9 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Tsutomu HOSOI: "The term "ippan" (general) in Math" Math. Seminar. 35-2. 42-45 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Tsutomu HOSOI: "The double negation of Mathematics, Japanese and English" J.of JSME. 78 (in press).

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Tsutomu HOSOI: "Logics behind Natural Languages" Proc. 10^<th> ICLMPS. 569 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Tsutomu HOSOI: "What kind of logical education should be given to the candidates of mathematics teachers?" Proc. 7^<th> SEACME. (in press).

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Tsutomu HOSOI: Epsilon-Delta method. Nihon-Hyoron-Sya, 217 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Tsutomu Hosoi & Masao Mori: Linear Algebra. Kyoritu-Syuppan, 145 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Tsutomu Hosoi & Masao Mori: Calculus. Kyoritu-Syuppan, 145 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Tsutomu HOSOI & others: Dictionary of Science & Technology. Nikkan-Kogyo-Shinbunsya, 2000 (1996)

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

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Published: 1997-03-04  

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