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数学教学中,教师为了使学生获得数学基本知识和能灵活运用知识解决问题,往往都不遗余力地培养学生的各种思维能力,其中很重要的思维方法就是逆向思维,因为中学数学许多重要的解题方法的思维主体是逆向的。下面以平几教学为例作一些简单的剖析。一、加强基础知识的逆向思维教学平面几何中所出的定义、性质、公理、定理等都是平面几何的基础知识,有些学生往往只会死记硬背,不能很好地融会贯通,以致造成思维的呆板。因此在引入
In mathematics teaching, in order to enable students to acquire basic knowledge of mathematics and to use knowledge to solve problems, teachers often spare no effort to train students’ various thinking abilities. One of the most important thinking methods is reverse thinking because many important problems in middle school mathematics are solved. The main body of thinking of the method is reversed. The following is a brief analysis of Ping and Zhang teaching as an example. First, to strengthen the basic knowledge of reverse thinking Teaching plane geometry in the definition, nature, axioms, theorems, etc. are the basic knowledge of plane geometry, some students often only rote memorization, can not be well integrated, resulting in thinking rigid. So in the introduction