| Problem representation is the key to solve problems, the quality of which determines whether the problem can be solved easily or not. Improving students'problem representation ability is one of the approaches to improve students'problem solving ability, so to some extent, right representation is the critical premise. Problem representation ability and its quality are also the key factor to affect mathematical problem solving. If a problem can be represented right, we can say, to some degree, that it has been solved half. Because the difference of the difficulty between problems lies on two sides, the first is the structure of problem itself and the other is problem representation. Based on the study on the differences among students of the third grade in a senior high school, this article applies oral report approach to get the following research result, the probability of making mistakes in mathematical representation side for students with high marks is significantly less than that of students with normal and low marks. And then, another research finding can be obtained that there also exists difference on the side of problem representation for students with high marks and low marks this article further researches the difference on the mathematical representation for various difficulty and familiarity problems between students with high marks and low marks and the finding is that familiarity and difficulty can affect the construction of mathematical representation. In the end, the article discusses the experiment result and puts forward to corresponding teaching suggestions... |