Study Of The Conic Curve Teaching Design Based On APOS Theory In Senior High School

Mathematical learning is inseparable from the geometric and algebra,the conic curve is an important part of the combination of geometry and algebra,it is the basis to learn higher mathematics.The content of high school conical curve is very complicated,its knowledge points are complex and similar,which caused a greater confusion in the student learning process.If the students do not understand the definition of the conic curve and the relevant concepts,they will not solve the problem and they do not know where to start.This requires our educators to think about the problem and find a solution.In this paper,the concept of conic curve teaching background,combined with APOS theory of the conic curve in the concept of teaching design,and then applied to two classes for experimental comparative study.The main contents of this paper are divided into six aspects: First,collect the domestic and foreign research of APOS theory and then summarize and study them,it can be concluded that APOS theory is a feasible mathematical education theory,which can provide a specific teaching model to the teaching of conic curve.Second,through the interviews of teachers on the teaching of the current situation of the study,analysis the feasibility and necessity.Thirdly,the structural block diagram and the implementation process of the teaching process of conic curve are analyzed by APOS theory.Fourthly,I provide three teaching designs inthe conic curve based on APOS theory,and make two experiments to optimize the teaching of the two classes,and then compare and analyze the experimental results.Fifthly,through the micro-experiment results,it is concluded that the teaching effect of teaching design based on APOS theory is better than that of traditional teaching.The focus of this paper is to analyze and summarize the theory of APOS,and to develop the corresponding teaching design and teaching model suitable for conic curve,and draw the conclusion through the comparative study of micro experiment.Which is based on the development of students and their own cognitive level,it provides a reference for the teaching of high school conic curve.