浅谈数学教学中的转化思想

On Transformation Thought in mathematics teaching

转化思想一般指化归思想。它不仅是一种重要的解题思路,也是一种最基本的解题策略,更是一种有效的数学思维方式。转化思想,在众多的数学问题解决中,它无处不在,是学生获取数学知识的主要思维方法。如小数的乘、除法,小数的四则混合运算,多边形的面积计算和圆面积计算公式的推导等,都是运用转化思维的方法进行的。在数学课堂教学中学生对转化思想方法的掌握、运用,不但有利于学生主动利用已经掌握的相关知识学习新知识,而且有利于学生形成牢固的知识系统。同时,也可帮助学生从问题的解决中掌握知识迁移的方法,促进学生已有经验和未知领域的交融,使之获得问题解决的成功体验。

transformation thought generally refers to the idea of transformation and regression.It is not only an important thought to solve the problem, but also the most basic strategy to solve the problem, and it is also an effective mathematical way of thinking.It is the main way of thinking for students to acquire mathematics knowledge.For example, the multiplication and division of decimals, the mixed operation of four decimals, the area calculation of polygons and the derivation of the circular area calculation formula are all carried out by means of transformation thinking.In mathematics classroom teaching of middle school students to the idea of transformation method to master and apply, not only conducive to the students take the initiative to use have to master relevant knowledge of learning new knowledge, and helps students to form strong knowledge system.At the same time, it can also help students to master the knowledge transfer method from problem solving, promote the integration of students' existing experience and unknown fields, and make them get successful experience of problem solving.