一个数学问题,如果直接处理起来有困难,通常总是经过若干适当形式的转换而得到解决的。原有问题直接处理起来之所以有困难,可能是由于掌握的知识和工具不足,也可能是由于问题的形式使矛盾暴露得不够充分,我们不易看出解决问题的途径。因此可将问题的形式(局部的或全部的)作适当的转换,以便找到更恰当的形式来加以解决。这一点在数学教学中是十分重要的,这种数学转换的思想应当贯串于整个教学过程之中。有目的地培养学生数学转换的能力,是提高他们思维能力的极为重要的一环。一、转换的几种类型 1.问题的条件的转换 A mathematical problem, if dealt with directly, has often been solved through a number of appropriate forms of conversion. The reason why the existing problems are directly handled may be due to the lack of knowledge and tools available or the inadequate exposure of conflicts due to the form of the problems. We can not easily find a solution to the problem. Therefore, the form of the problem (partial or total) can be properly converted in order to find a more appropriate form to address. This point in mathematics teaching is very important, this idea of ​​mathematical transformation should be consistent throughout the teaching process. The ability to purposefully develop students' mathematical conversions is an extremely important part of enhancing their thinking ability. First, the conversion of several types 1. The conversion of the conditions of the problem