长时间带竞赛的教师都有一种困惑,参加竞赛的学生必须要做大量的习题,做很多的总结反思,才能逐步地提高学生的解题能力,从而进一步提高学生的思维能力。事实上有些同学做了很多题,但思维能力也不见得有多少提高,这是为什么呢?这个问题很复杂。但是大量的实践给我一个感觉,再复杂的问题都有一个起源,这个起源就是概念和常规思维。我想通过一个例子来说明这个问题。 For a long time teachers with a competition have a confused, students must participate in the competition to do a lot of exercises, do a lot of reflection, in order to gradually improve students ’ability to solve problems, so as to further improve students’ thinking ability. In fact, some students do a lot of questions, but their ability to think is not necessarily how much to improve. Why? The question is very complicated. However, a large number of practices give me a feeling that complicated problems all have one origin. This origin is conceptual and conventional thinking. I want to illustrate this issue through an example.