Abstract:In recent years, for research on mathematical problem solving, people have done a large number of psychological analysis, theory exploration and attempt.,at the same time , the original knowledge and thinking strategy are the key points to solve the problems. Therefore,problem solving teaching should be considered from multi aspects. This paper points out that the students should learn to think with dialectical view in learning mathematics and solving problems, teaching should be combined with the characteristics of different mathematical problems from the movement, transformation, development, unlimited etc to stimulate enthusiasm and diversity of students' thinking so as to understand theessence of mathematics method of thinking, cultivate the students' dialectical thoughts and ideas.