Research On Analytic Geometry Teaching In Senior High School From The Perspective Of CPFS Structure Theory

Analytic geometry is a very important knowledge point in high school knowledge.Since the development of analytic geometry,many mathematicians have combined knowledge points in sets,algebra,functions and other parts with analytic geometry to solve related problems from the perspective of analytic geometry,thus promoting the overall development of mathematics.As far as analytic geometry is concerned,it has always been the focus of researchers at home and abroad.In addition,many researchers study analytic geometry from different angles,which is also of great reference value to the teaching and research of analytic geometry.With the continuous reform and development of education,quality education is gradually advocated by most people.Quality education advocates that teaching should be a two-way interactive activity with students as the main body and teachers as the leading role.The process of teaching,in fact,is the process of transforming the structure of mathematical knowledge into the cognitive structure of students.CPFS structure is a kind of mathematics learning structure proposed by Professor Yu Ping in China,which is of great help to improve the cognitive structure of students.Based on the above analysis,this paper selects CPFS structure as the starting point of this paper,and focuses on the relationship between CPFS structure and analytic geometry teaching for senior high school students.This research first refers to the previous research data on the structure of CPFS,combined with the knowledge of analytic geometry,compiled two sets of questionnaires,through the test of the second year students of M school in Ningyang County,Tai'an City,to understand the current situation of analytical geometry CPFS structure and the level of understanding of analytic geometry.And with the help of spss19.0 software,the test results are analyzed respectively,and then the two test scores of each student are compared to further analyze the correlation between them.It is found that:(1)in the same external environment,different students construct different analytic geometry CPFS structure;(2)most students construct imperfect analytic geometry CPFS structure in their mind;(3)the overall situation of analytic geometry understanding level of senior high school students is not ideal;(4)the analytic geometry CPFS structure and analytic structure constructed in their individual mind There are significant differences in his understanding level;(5)the more perfect CPFS structure is,the higher level of his understanding level is.Based on the results of the above investigation and research,this paper further proposes the teaching strategies for the knowledge of analytic geometry,and on this basis,it designs three typical topics related to analytic geometry,which provides some reference for most teachers.