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数学教学的过程其实就是教师引导学生分析和探索,从而发现新的知识,将一个正确命题与概念的逻辑体系展现在学生面前.所以数学的中心问题与主要特色就是严密论证.假如与数学探索过程相联系,我们就能发现围绕对比、类比等手段得到的猜想型命题的数学活动都有进行“伪证”与证明两个方向.笔者结合自身这些年一线的教学经验,对高中数学教学中“证伪”思想的作用做了一些思考与小结.一、“伪证”思想的提出与应用
The process of mathematics teaching is actually the teacher to guide students to analyze and explore in order to find new knowledge, the correct logical system of propositions and concepts in front of students.Therefore, the central issue of mathematics and the main feature is the rigorous argument.If and mathematical exploration process We can find that the mathematics activities of conjecture propositions that are obtained by means of contrast and analogy have both directions of “perjury” and proof.According to their own teaching experience in these years, the author analyzes the mathematics activities of high school mathematics teaching “Falsification ” thought made a number of thinking and summary of the role of a. “Perjury ” thought put forward and application