Practical Research Of Infiltration Of Typical Mathematics Thought Methods To Improve Student's Learning Effect

With the continuous advance of the education reform, education has been increasing emphasis on human ability. How to make the students to master mathematical knowledge in a relaxed, enjoyable way, has been pursued by a mathematics teacher. Mathematics thought methods are the essence of mathematics. It is the mathematical point of view and culture that bear in people's minds, the spirit of mathematics and attitudes. New curriculum standards for teachers pay more attention to the teaching of mathematical thinking, guide students to master and apply the way of thinking in order to achieve the enhancement of student ability, reducing the burden of student learning.In this paper, theoretical and practical research methods were used to study the infiltration of mathematics thought methods to students. In order to reveal the essences of the mathematics thought methods, the literature research methods based on modern teaching theory, educational psychology, instructional design principles were used as the basis for the analysis of argumentation and theoretical generalization. In order to study the effects of the methods in classroom teaching, the practical research were done based on the theoretical analysis. The paper concludes the following five chapters:Chapter 1 is about introduction of the research questions. The importance of the infiltration of mathematics thought methods to students was presented from the studying background and the theoretical analysis.Chapter 2 presented the typical mathematics thought methods of junior high school. This chapter introduced the six typical mathematics thought methods extracted from the junior high school mathematics teaching.Chapter 3 studied the basic infiltrating principles to students of junior high school. In this chapter, the author applied own teaching practice, acquired the seven principles of the infiltration. These are: the principle of revealed infiltration, "simple," combined with "significant", the principle of from simple to difficult, the principle of focusing on process and timely infiltration, the principle of timely and systematic summed up, the principle of solving and highlighting the problems, the principle of respect for differences, stratified teaching and the principle of derived from knowledge and regressed knowledge.Chapter 4 is the teaching experiment about the infiltration of the mathematics thought methods in junior high school. The experimental results show the teaching methods can increase student interest in learning, improve the large number of student scores and alleviate the burden of student to some extent.Chapter 5 is about the experience and reflection from the practical research. During the implementation process, the teachers should carefully study materials, extract the mathematics thought methods from the knowledge that implicit in the mathematical problems, design the problems in order to enable students to understand the mathematics thought method. The infiltration process is difficult. It should be done step by step and the great patience is necessary.Practical research results show that timely infiltration of mathematics thought methods to the students by the analysis of knowledge of mathematics. The teaching method can enhance student learning enthusiasm and initiative, improve the students' understanding to intrinsic relationship among mathematical knowledge and train the students' abilities of analyzing the problem and solving the problem. It is effective to improve the learning effect and the teaching quality.