• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

A study of formation rules of mathematical terms, problematic terms, and applications to mathematical equcation.

Research Project

Project/Area Number 03680250
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 InstitutionSCIENCE UNIVERSITY OF TOKYO

Principal Investigator

HOSOI Tsutomu  Science University of Tokyo, Fac.& Sci.and Tech. Prof., 理工学部, 教授 (30055305)

Co-Investigator(Kenkyū-buntansha) NAGANO Higashi  Science University of Tokyo, Fac.of Sci. Lecturer, 理学部, 講師 (10198343)
KOBAYASHI Reido  Science University of Tokyo, Fac.of Sci.& Tech. Prof, 理工学部, 教授 (70120186)
SHIMADA Shigeru  Science University of Tokyo, Fac.of Sci. Prof, 理学部, 教授 (00000034)
MATUO Yoshitomo  Science University of Tokyo, Fac.of Sci. Prof, 理学部, 教授 (60103024)
嶋田 君枝  東京理科大学, 理工学部, 助手 (60110897)
Project Period (FY) 1991 – 1993
Project Status Completed (Fiscal Year 1993)
Budget Amount *help
¥1,700,000 (Direct Cost: ¥1,700,000)
Fiscal Year 1993: ¥400,000 (Direct Cost: ¥400,000)
Fiscal Year 1992: ¥400,000 (Direct Cost: ¥400,000)
Fiscal Year 1991: ¥900,000 (Direct Cost: ¥900,000)
KeywordsMathematical terms / Mathematical Education / Japanese language / Logic Education / Mathematical expressions / Constructions of terms / Ambiguous expressions / 日本語文体 / 難表現 / 曖昧表現 / 幾何学 / アクセント
Research Abstract

We studied the terms and sentence styles used in the mathematical education in Japanese from the three points of view as follows :
(i)Problematic terms and sentences.
(ii)Formation rules of terms from Chinese characters.
(iii)Fundamental sentence styles and grammars for mathematical expressions in Japanese.
1. Concerning (i), we found many examples, such as :
(1)Some old words, whose meanings are now very difficult for pupils to understand, are used in textbooks as fondamental words.
(2)There are some differences in meaning and in usage for such logical words as Japanese "to", which corresponds to English "and", and Japanese "ka", which corresponds to English "or". Unfortunately, teachers have missed to notice this until now.
(3)There are some problems in teaching "Necessary conditions" and "Sufficient conditions".
(4)English notion "limit" has been translated into two Japanese words, "kyokugen" and "kyokugenti", while the latter word is not well treated in classrooms.
2. Concerning (ii), we collected 145 Chinese characters as fundamental characters of Japanese mathematical terms and gave explanations how to use them in mathematics.
3. Concerning (iii), we collected sentence style of Definitions, Theorems and Proofs. We studied the usages of logical words used in them.

Report

(4 results)
  • 1993 Annual Research Report   Final Research Report Summary
  • 1992 Annual Research Report
  • 1991 Annual Research Report
  • Research Products

    (31 results)

All Other

All Publications (31 results)

  • [Publications] 細井勉: "図を解釈するための規則" 日本数学教育学会誌. 75. 8-8 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] 細井勉: "数学と言葉" 日本数学教育学会誌. 75. 7-7 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] 細井勉: "「菱形」という用語" 日本数学教育学会誌. 75. 4-4 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] 細井勉: "論理的思考と日本語" 日本数学教育学会誌. 75. 6-6 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] 細井勉: "1≦3はなぜおかしい?" 日本数学教育学会誌. 76. 3-3 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] 細井勉: "「か」のような「と」" 日本数学教育学会誌. 76(印刷中). (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] HOSOI,Tsutomu: "Rules for reading figures" Journal of Japan Society of Mathematical Education. Vol.75 No.5. 8 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] HOSOI,Tsutomu: "Mathematics and Japanese" Journal of Japan Society of Mathematical Education. Vol.75 No.7. 7 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] HOSOI,Tsutomu: "Mathematics term "hisigata"" Journal of Japan Society of Mathematical Education. Vol.75 No.9. 4 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] HOSOI,Tsutomu: "Logical thinking and Japanese" Journal of Japan Society of Mathematical Education. Vol.75 No.11. 6 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] HOSOI,Tsutomu: "Why 1(〕SY.ltoreq.〔)3 is difficult to understand ?" Journal of Japan Society of Mathematical Education. Vol.76 No.1,3. (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] HOSOI,Tsutomu: ""to" with the meaning of "ka"" Journal of Japan Society of Mathematical Education. Vol.76 No.3(To appear). (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] 細井勉: "図を解釈するための規則" 日本数学教育学会誌. 75. 8-8 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] 細井勉: "数学と言葉" 日本数学教育学会誌. 75. 7-7 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] 細井勉: "「菱形」という用語" 日本数学教育学会誌. 75. 4-4 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] 細井勉: "論理的思考と日本語" 日本数学教育学会誌. 75. 6-6 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] 細井勉: "1≦3はなぜおかしい?" 日本数学教育学会誌. 76. 3-3 (1994)

    • Related Report
      1993 Annual Research Report
  • [Publications] 細井勉: "「か」のような「と」" 日本数学教育学会誌. 76印刷中. (1994)

    • Related Report
      1993 Annual Research Report
  • [Publications] 細井 勉: "数とその名前" 日本数学教育学会誌(NEWS LETTER). 74-5. 2-3 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 細井 勉: "答えの統一" 日本数学教育学会誌(NEWS LETTER). 74-7. 9-9 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 細井 勉: "なぜ,数学方言を問題にするのか?" 日本数学教育学会誌(NEWS LETTER). 74-9. 12-12 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 細井 勉: "あいまいな表現" 日本数学教育学会誌(NEWS LETTER). 74-11. 11-11 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 細井 勉: "図が伝えること" 日本数学教育学会誌(NEWS LETTER). 75-1. 12-12 (1993)

    • Related Report
      1992 Annual Research Report
  • [Publications] 細井 勉: "「図のように」ということ" 日本数学教育学会誌(NEWS LETTER). 75-3. (1993)

    • Related Report
      1992 Annual Research Report
  • [Publications] 細井 勉: "数学とことばの迷い路" 日本評論社, 214 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 細井 勉: "「できない」ということ" 日本数学教育学会誌(NEWS LETTER). 73ー7. 23-23 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] 嶋田 君枝: "小学生と数学語" 日本数学教育学会誌(NEWS LETTER). 73ー9. 9-9 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] 嶋田 君枝: "死語となった日常語" 日本数学教育学会誌(NEWS LETTER). 73ー11. 12-12 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] 細井 勉: "小数と十進数" 日本数学教育学会誌(NEWS LETTER). 74ー1. 9-9 (1992)

    • Related Report
      1991 Annual Research Report
  • [Publications] 細井 勉: "小数、分数、整数" 日本数学教育学会誌(NEWS LETTER). 74ー3. (1992)

    • Related Report
      1991 Annual Research Report
  • [Publications] 細井 勉: "数学と言葉の迷い路" 日本評論社, 250 (1992)

    • Related Report
      1991 Annual Research Report

URL: 

Published: 1991-04-01   Modified: 2016-04-21  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi