Teaching Study Of Conic Section In High School Based On Transfer Theory

Conic curve is a model abstracted from real life,and it is a direct reflection of the idea of mathematical modeling.As an important part of high school mathematics,it also embodies a large number of mathematical ideas and methods,which have important applications in all aspects of real life and production.Therefore,whether from the practical significance of mathematics,or from the teaching content of conic curve,it is very suitable to train students' transfer ability.The conic curve has always been the necessary content of the college entrance examination,and the test questions involve a wide range of knowledge.It not only inspects knowledge and skills,but also tests students' thinking and ability.It requires high comprehensive ability of students.According to the author's teaching experience,the score rate of this chapter is very low in the college entrance examination,but students respond to the teaching.It is easy to understand.This phenomenon has aroused the author's thinking.Why do students have no idea when doing conic-related exercises? How can teachers help students find solutions to conic problems and improve their scores? In this paper,through the author's actual teaching experience and questionnaires,teachers' teaching and students' learning status are analyzed,combined with advanced teaching theory,namely learning transfer theory,conic teaching is studied.The details are as follows:Chapter I,Introduction.This chapter mainly elaborates the background of the subject,the problems and significance of the research,and the research methods.The second chapter is a summary of the research.This chapter mainly deals with the research status of conical curve teaching and learning transfer theory through consulting relevant documents,and expounds the concept,classification and development of the theory of learning transfer,and defines the concept of mathematical learning transfer.The third chapter is the teaching situation of conical curve.In this chapter,the teaching status and learning status of conical curve are investigated by questionnaire,and the results are analyzed,and the feasibility and necessity of applying the transfer theory to conical curve teaching are expounded.The fourth chapter is about the application of transfer theory in the teaching of conic section.Based on the theory of learning transfer,the author analyses the teaching content of conical curve.In this chapter,we study and analyze how to transfer in the teaching of conical curves from three aspects.First,pay attention to the transfer of thought in conical Teaching: transfer of coordinate method,transfer of thought of combination of numbers,transfer of thought,transfer of function and equation thought,transfer of mathematical modeling thought;two.Transfer of content in conical curve Teaching: transfer of concept class,transfer of geometric nature course Three.In the teaching of conic curve,we should pay attention to the transfer of problem-solving methods: defining the migration and setting of the law instead of seeking the migration of the law.The fifth chapter is a teaching case based on transfer theory.In this chapter,two teaching cases are selected from concepts and geometric properties: ellipse and its standard equation,hyperbola and its standard equation,simple geometric properties of ellipse and simple geometric properties of hyperbola.The sixth chapter,conclusions and suggestions.This chapter first summarizes the research of this paper,and then rethinks some of the problems that exist in this paper.Finally,some suggestions are given to the problem of studying the theory of learning transfer in the future.