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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 (00000034)
MATSUO Yoshitomo  SCIENCE UNIVERSITY OF TOKYO, SCIENCE, PROFESSOR, 理学部, 教授 (60103024)
Project Period (FY) 1994 – 1995
Project Status Completed (Fiscal Year 1995)
Budget Amount *help
¥1,200,000 (Direct Cost: ¥1,200,000)
Fiscal Year 1995: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 1994: ¥500,000 (Direct Cost: ¥500,000)
KeywordsMathematical Education / Mathematical terms / Definition Sentences / Incompletely defined notions / 定義の文体
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.

Report

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

    (46 results)

All Other

All Publications (46 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
    • Related Report
      1995 Final Research Report Summary
  • [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
    • Related Report
      1995 Final Research Report Summary
  • [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
    • Related Report
      1995 Final Research Report Summary
  • [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
    • Related Report
      1995 Final Research Report Summary
  • [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
    • Related Report
      1995 Final Research Report Summary
  • [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
    • Related Report
      1995 Final Research Report Summary
  • [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
    • Related Report
      1995 Final Research Report Summary
  • [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
    • Related Report
      1995 Final Research Report Summary
  • [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
    • Related Report
      1995 Final Research Report Summary
  • [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
    • Related Report
      1995 Final Research Report Summary
  • [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
    • Related Report
      1995 Final Research Report Summary
  • [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
    • Related Report
      1995 Final Research Report Summary
  • [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
    • Related Report
      1995 Final Research Report Summary
  • [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
    • Related Report
      1995 Final Research Report Summary
  • [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
    • Related Report
      1995 Final Research Report Summary
  • [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
    • Related Report
      1995 Final Research Report Summary
  • [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
    • Related Report
      1995 Final Research Report Summary
  • [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
    • Related Report
      1995 Final Research Report Summary
  • [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
    • Related Report
      1995 Final Research Report Summary
  • [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
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Tsutomu Hosoi & Masao Mori: Calculus. Kyoritu-Syuppan, 145 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [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
    • Related Report
      1995 Final Research Report Summary
  • [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)

    • Related Report
      1995 Annual Research Report
  • [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)

    • Related Report
      1995 Annual Research Report
  • [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)

    • Related Report
      1995 Annual Research Report
  • [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)

    • Related Report
      1995 Annual Research Report
  • [Publications] 細井勉: "二重の否定" 日本数学教育学会会誌. 78(印刷中). (1996)

    • Related Report
      1995 Annual Research Report
  • [Publications] 細井勉: "Logics behind Natural Languages" Proceedings of Tenth International Congress of Logic, Methodology and Philosophy of Science. 569-569 (1995)

    • Related Report
      1995 Annual Research Report
  • [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 on Mathematics Education. (発表予定). (1996)

    • Related Report
      1995 Annual Research Report
  • [Publications] 細井勉(単著): "わかるイプシロン・デルタ" 日本評論社, 217 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 細井勉(共著): "身につく線形代数" 共立出版, 145 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 細井勉(共著): "身につく微積分" 共立出版, 141 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 細井勉(共著): "理工学辞典" 日刊工業新聞社, 2000 (1996)

    • Related Report
      1995 Annual Research Report
  • [Publications] 細井勉: "「か」のような「と」" 日本数学教育学会誌. 76-5. 4-4 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 細井勉: "円すい" 日本数学教育学会誌. 76-7. 8-8 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 細井勉: "教科書と漢字" 日本数学教育学会誌. 76-9. 4-4 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 細井勉: "円周率とパイ" 日本数学教育学会誌. 76-11. 7-7 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 細井勉: "「正数」という言い方" 日本数学教育学会誌. 77-1. 7-7 (1995)

    • Related Report
      1994 Annual Research Report
  • [Publications] 細井勉: "日常会話の論理" 日本数学教育学会誌. 77-3(印刷中). (1995)

    • Related Report
      1994 Annual Research Report
  • [Publications] 細井勉: "言語教育に期待する" 言語. 24-1. 20-25 (1995)

    • Related Report
      1994 Annual Research Report
  • [Publications] 島田茂: "数学用語の漢字" 数学言語研究会. (発表予定). (1995)

    • Related Report
      1994 Annual Research Report
  • [Publications] Tsutomu HOSOI: "The Logic behind Japanese" Proceedings of Workshop on non-standard logics and logical aspects of computer science. (印刷中). (1995)

    • Related Report
      1994 Annual Research Report
  • [Publications] Tsutomu HOSOI: "What is logic education? How should we do it?" Proceedings of ICMI-CHINA Regional Conference on Mathematics Education. (印刷中). (1995)

    • Related Report
      1994 Annual Research Report
  • [Publications] Masao MORI: "On some dialectal usage in mathematics education" Proceedings of ICMI-CHINA Regional Conference on Mathematics Education. (印刷中). (1995)

    • Related Report
      1994 Annual Research Report
  • [Publications] Tsutomu HOSOI: "Logics behind Natural Languages" Proceedings of 10th international congress of logic,methodology and philosophy of science. (発表予定). (1995)

    • Related Report
      1994 Annual Research Report
  • [Publications] 細井勉: "日本評論社" わかるイプシロン・デルタ(印刷中), (1995)

    • Related Report
      1994 Annual Research Report

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

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