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数学问题解决的过程,实质上是一种思维活动的转化过程.所谓转化,就是在分析解决问题时,把那些待解决或难解决的问题,通过有意识的“联想——转化”,由未知向已知转化,把不熟悉的、不规范的、复杂的问题转化为熟悉的、规范的甚至模式化的、简单的问题,从而求得原问题的解,是解题的必经之路.在近几年的高考中,等价转化思想的应用处处可见,因此无论从培养学生的能力角度出发,还是从适应高考而言,在数学教学中都必须注意等价转化思想的渗透,转化是解决问题的重要思维模式,也是分析问题和解决问题的重要的思想和方法.本文就等价转化思想在中学数学解题中的应用作些许探讨.
The process of solving mathematics problems is essentially a transformation process of thinking activities. The so-called transformation is that when analyzing and solving problems, those problems that are to be solved or difficult to solve are consciously transformed from “unconceived” to unknown. It is known that transformation, the transformation of unfamiliar, irregular, and complex issues into familiar, normative, and even formal, simple questions, so that the solution to the original problem is the only way to solve the problem. In the college entrance examinations in recent years, the application of the idea of equivalent transformation can be seen everywhere. Therefore, whether it is from the perspective of cultivating students’ ability or adapting to the college entrance examination, we must pay attention to the penetration of the idea of equivalent transformation in mathematics teaching. The important thinking mode of the problem is also an important idea and method for analyzing the problem and solving the problem. This paper gives a brief discussion on the application of the equivalent transformation idea in middle school mathematics problem solving.