The Study Of Mathematical Thinking Structure Characteristics Analysis Of A Case In Junior High School Students

Students learn math is not only for the purpose of mathematics learning, more should be to learn mathematics thinking, in the life of mathematical thing to analyze and solve problems. Mathematical thinking is an important part of mathematics learning, mathematics learning for junior high school students in grade three mathematical thinking is very important on formation of phase, teachers should let students experience more mathematical learning process, fully exposing students mathematics learning process. In this paper, using the theory of constrctivism theory, cultural ecology, the theory of connectionism, the cognitive learning theory and Polya the theory of how " problem solving ", for junior high school students mathematical thinking research laid the theoretical basis of rich.The purpose of this study is the student can understand mathematical thinking, respect for the important position of mathematical thinking in mathematics learning, and hope can better service for study junior high school students mathematical thinking characteristics. Through this article research to make more students to the formation of the targeted perfect mathematical thinking, realize the students’ ability to excavate potential, teacher training provides a good basis.In this article to the students of grade one class in the examination paper collection, interviews and classroom observation, fully collects data can reflect students’mathematical thinking. Through to the students answer questions out of the four following the test paper for choice, in number and algebra and graphics and geometric section, select 10 questions, analyzing students reflect the intuition thinking in the process of problem solving, logical thinking and image thinking of frequency and frequency of communication between each other, the result of the integration between mathematical thinking and frequency of classification, divided into lazy type, simple, mix and complete. To undertake to the student interviews and classroom observation, to organize data, detailed analysis of various types of students form and contains the number of species, in the form on the basis of summarizing the influence factors for the interest in learning, learning attitude, self-control, school class environment, the knowledge construction process and the attribution of reflection.Through the analysis of the types and influence factors, summed up the conclusion: the students’mathematical thinking structure characteristics of the type; Junior high school students logic thinking consciousness is weak; The main causes for the difference in their mathematical thinking in junior high school students. Give three piece of advice is:undertake to the student positive psychology training, develop positive psychological quality; Help develop good mathematical thinking, timely reflection; Give the classroom to students, to promote the development of mathematical thinking space.