Investigation And Diagnostic Analysis Of Analytic Geometry Cognitive Structure In Senior High School Students

The establishment of analytic geometry is one of the great achievements of mathematics,and the introduction of coordinate method makes constant mathematics enter the age of variable mathematics.Analytic geometry can quantitatively describe the motion of objects,provide methods and tools for the study of the motion of objects,and also provide an important support for the establishment of calculus.Senior high school plane analytic geometry is a core content of the main line of senior high school mathematics geometry and algebra,which requires students to learn to use coordinate method to transform geometric problems into algebraic problems,and use algebraic method to study the properties of geometric figures.However,nowadays,high school mathematics teaching is characterized by tight class hours and heavy tasks,and the improvement of analytic geometry cognitive structure of high school students is not optimistic.Students' understanding of mathematical knowledge system and the relationship between knowledge is not clear,and knowledge mastery is fragmented.From the point of view of the college entrance examination,the difficulty of the content of the unit is medium,and the score of the students is not ideal.Aiming at this common problem,this paper focuses on the construction of cognitive structure of analytic geometry in senior high school students.In order to understand the situation of analytic geometry cognitive structure of senior high school students,it is obviously not enough to only analyze students' scores.In order to pay more attention to the process of internal psychological processing of students,a new generation of measurement theory is needed.Cognitive diagnosis theory combines psychometrics with cognitive psychology,which can diagnose students' learning situation effectively.The research is divided into six parts.One is to give the relevant core concepts and corresponding theories.The second is to conduct a simple survey of students' mathematics learning through questionnaires,and collect the knowledge of "the equation of line and circle" of senior high school students,to preliminarily understand students' learning and knowledge mastery;The third is to study the cognitive diagnosis theory and the knowledge content of analytic geometry.Using Deterministic input,Noisy "and" gate model(DINA)model,the cognitive diagnosis analysis of analytic geometry content of senior high school students is carried out;Fourthly,it makes an in-depth analysis of the solving process of the analytic geometry test questions to find out the mistakes of senior high school students in the solving process.Fifth,the cognitive diagnosis of analytic geometry of senior high school students is obtained based on the above survey contents and results.Sixth,corresponding teaching suggestions are given according to the cognitive diagnosis and problem solving of analytic geometry.