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

我们从以下三个方面对日语数学教学中使用的术语和句式进行了研究：(1)疑问句。（ii）汉字构词规则。（三）日语数学表达的基本句式和语法。关于(1)，我们发现了许多例子，例如：(1)一些旧词，其含义现在对学生来说很难理解，在教科书中被用作基本词汇。(2)日语中的“to”对应英语中的“and”，日语中的“ka”对应英语中的“or”，这类逻辑词在意义和用法上存在一定差异。不幸的是，直到现在，老师们才注意到这一点。(3)“必要条件”和“充分条件”的教学存在一些问题。(4)英语中的“极限”一词已经被翻译成日语中的“kyokugen”和“kyokugenti”两个词，而后者在课堂上却得不到很好的对待。关于（二），我们收集了145个汉字作为日语数学术语的基本字，并对其在数学中的使用进行了说明。关于（iii），我们收集了《定义、定理和证明》的句式。我们研究了其中逻辑词的用法。

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.