大学数学中论证方法的逻辑与教学

大学数学教与学中困难之一,在于它的论证方法的难以掌握与理解。特别是逻辑学基础知识缺乏的学生更为艰难。本文试图运用逻辑学与数学的内在规律,以及逻辑学的论证理论对这一课题进行较为系统的研究与探索,旨在寻找其某些内在规律,使教师与学生在教与学的过程中减少盲目性、增加自觉性,做到心中有数,有的放矢。促进教学过程结构的最优化。

The Logic of Proving Method in Univercity Mathematics and Teaching

One of the difficultis in teaching and learing univercity mathematics lies in mastering and comprehending its proving method, it is especially difficult for the students who ere weak in the basic knowledge of logic. This paper intends to explore and study this sudject by employing the inherent law of epplied logic related to mathematics teaching and the logic proving theory. The goal is to find out some inherent laws, and to enable the teachers and the students to become more clear about their objectives in the process of teaching and tearing. Thus the structure of the teaching and learning process can be optimized.