Research And Practice Of High School Conic Curve Based On RMI Principle

Problem solving contains practical issues and problems rooting in mathematic itself,which should be considered the core of the mathematics education.We should help students grasp"mathematics thinking"^[1].The conic question is one of the major last questions of the college entrance mathematics examination,as well as an indispensable question type helping national key universities identify talents,which accounts for a large proportion of the total score.In the teaching process,students are generally found that they belive they understand the teacher’s explanation.However,when it comes to solving the conic questions on their own,the students are always incompetent to figure out where to start and apply what knowledge points.How to solve this dilemma?How to subtly cultivate students’ability to analyze problems in the process of teaching?I found the RMI principle of Professor Xu Lizhis can effectively help students solve these problems,based on my own study of this principle during the postgraduate period as well as my own teaching practice.This essay adopts the methods of literature research and questionnaire survey and the like to introduce the relevant theoretical content of the RMI principle in guiding conic problems.It demonstrates the feasibility of the application of RMI principles by combining the constructivist learning theory and the Materialist dialectics via two dimensions of psychology and philosophy.Through questionnaire survey,I learned about the status quo of students’learning of the conic problems and teachers’teaching,and analyzed the results.Therefore,conic problems can be broadly classified into four types:plication problems of simple geometric properties,fixed point and fixed value problems,maximum value and range problems and existence problems.Combining with teaching cases,the author permeates the RMI principle to all students.At the same time,the teaching suggestions of applying RMI principle in solving the problem of conic are given,laying a theoretical foundation for learning other subjects.