An Experimental Study Of Junior School Students’ Problem Epresentation In Geometric Proofs-Solving

Geometry is important content of mathematics. With the further reform of China’s education system, people pay more attention to the study of geometry. Geometrical proof problems are better for the ability of thinking，they are the important content of mathematical teaching material,and they have became new hot proposition in high school entrance examination at around in recent years.Problem representation is the focus conception of problem solving. It has been studied by many researchers with the development of cognitive science. Problem representation is the key to solve problems, the quality of which determines whether the problem can be solved smoothly. Improving students’ problem representation ability is one of the approaches to improve students’ problem solving capability.Based on the former research, we explored the layer of representation in geometry，so it enhanced the operation. We compared the time the junior students used in each layer, and then analyzed the sequence of representation between excellent students and week ones to find the causes of the differences through the investigation. Excellent students are more accurate than the week ones in information representation and they do better in situation representation and theory representation.Based on the study on the differences among students of the third grade in a junior middle school, this article 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.In order to improve students capability of solving problem，we adapted some teaching measure and concrete experiment steps in geometry.