Grant-in-Aid for Scientific Research (C).
|Research Institution||SCIENCE UNIVERSITY OF TOKYO|
HOSOI Tsutomu Science University of Tokyo, Fac.& Sci.and Tech. Prof., 理工学部, 教授 (30055305)
嶋田 君枝 東京理科大学, 理工学部, 助手 (60110897)
小林 嶺道 東京理科大学, 理工学部, 教授 (70120186)
長野 東 東京理科大学, 理学部, 講師 (10198343)
島田 茂 東京理科大学, 理学部, 教授 (00000034)
松尾 吉知 東京理科大学, 理学部, 教授 (60103024)
KOBAYASHI Reido Science University of Tokyo, Fac.of Sci.& Tech. Prof
NAGANO Higashi Science University of Tokyo, Fac.of Sci. Lecturer
MATUO Yoshitomo Science University of Tokyo, Fac.of Sci. Prof
SHIMADA Shigeru Science University of Tokyo, Fac.of Sci. Prof
|Project Fiscal Year
1991 – 1993
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)
|Keywords||Mathematical terms / Mathematical Education / Japanese language / Logic Education / Mathematical expressions / Constructions of terms / Ambiguous expressions / 数学用語 / 数学教育 / 日本語 / 論理教育 / 数学表現 / 造語法 / あいまい表現 / 日本語文体 / 難表現 / 曖昧表現 / 幾何学 / アクセント|
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.