Study On Triangle CPFS Structure Of Junior Middle School Students

Triangle knowledge as the junior middle school stage is very important,because of its huge knowledge system and staggered complex text layout,cause the student to the junior middle school triangle knowledge learning effect is not ideal,so an effective teaching method of triangle to guide students more efficient learning knowledge is very necessary.From the essence of mathematics learning and the fundamental task of mathematics teaching,forming a good mathematical cognitive structure is the key to solve the above triangle mathematics teaching problem.CPFS structure as a unique and good mathematical cognitive structure,it is necessary to use it to study the teaching of triangle knowledge.Based on this,this paper mainly uses the investigation method,quantitative and qualitative methods to study the triangle CPFS structure of junior middle school in three parts: firstly,it analyzes and defines the triangle CPFS structure from four parts:concept domain,concept system,proposition domain and proposition system;Secondly,the relationship between CPFS structure and triangle learning level is studied.Finally,the influence of gender and class on individual CPFS structure was studied.The main results and conclusions of this study are as follows:1.Through quantitative and qualitative analysis of the data,it is found that there is a significant positive correlation between students' academic performance and the structure of individual triangle CPFS.Students with a good structure of individual triangle CPFS have stronger ability to solve triangle-related mathematical problems.In other words,if students can construct a good triangle CPFS structure,it is very necessary to improve their math learning performance.2.The structure of individual triangle CPFS among students of different genders.On the whole,the triangle CPFS structure of boys is better than that of girls;There was no significant difference in triangle CPFS structure among students of different classes.Finally,according to the research conclusion of triangle CPFS structure,some suggestions on triangle teaching in junior middle school are put forward.