高中数学简易逻辑中几个概念的辨析及教学建议

Analysis of Several Facility and Teaching Suggest about High Scholl Mathematics Facility Logic

近几年,数学教育类杂志刊载的关于简易逻辑的文章不在少数,其中很多都涉及到一个代表性问题的讨论:“命题‘方程x2-x-6=0的解是x=-2或x=3'是否是复合命题。”这一现象暴露出教材和一些教师对逻辑联结词认识和使用的混乱,也反应了教师教学时的无所是从.为此,教师在教学中要积极进行课程开发,整合教材,选用合适的、典型的正例。

In recent years, there were many articles in middle school mathematics educational magazines which had been frequently discussing simple logic, and in these articles, a representative issue whether the proposition. The root of the equation ＂x2-x-6 = 0 is x=-2 or x= 3 ＂ was a compound proposition took up a higher place. This exposes problems that the teaching materials were lack of order, teachers＇ understanding of logic connective word was confused, and their teaching methods were improper. So it needed to be clarified. This paper, with .some examples, popularly analyzed several basic and easy-to-be-confused concepts： simple proposition, compound proposition, connective word ∨, predication and root of equation; then, based on the understanding of these concepts, we draw a conclusion that they were all simple propositions by partly signalizing the structure of them with the knowledge of the logic of predication; at last, this paper made clear some mistakes and the reason for their appearance, and pointed out that teaching needed to integrate teaching materials and selected proper and typical model examples.