Analyze The Classification Discussion Ideas In High School Mathematics Teaching

With the development of new curriculum reform,mathematics teachers in the high school pay more and more attention to the research and penetration of mathematical thinking and methods.And the proposition of the college entrance examination also attaches more importance to the ability test.As an important mathematical thinking,the discussion of classification by learning and training can not only enhance the students' consolidation of knowledge in books,but also develop students' rigorous and complete thinking.It also improves students' comprehensive quality and innovative ability.This paper discusses the idea of classification and discussion in four aspects.First,the summary of the idea—classified discussion,mainly introduces the research background of the classified discussion,the development and research status and the current situation at all times and in all countries.It mainly analyses the practical significance of this research,according to the background and current situation of classification discussion.Second,it clarifies the meanings of mathematical thinking,mathematical methods and classified discussion,and then expounds the incentives,principles,steps and conclusions of the classification.This part provides the theoretical basis for the analysis in the third chapter.Third,explore the idea of classified discussion in the basic knowledge contained in the current used textbooks CPEP version A,supplementing examples.As the concept “discussion” does not explicitly appear in the textbooks and there is no classification of basic knowledge and exercises with mathematics thinking method,the author explores the fragmentary knowledge points and classification discussion in the exercises to help the students to learn better,combining with his own teaching experience.Fourth,according to the analysis in the third chapter,the author put forward some suggestions and methods for the students to study the classification learning,combining with his own teaching practice.The author discusses the classified discussion in many aspects in this paper by looking up large amounts of materials and combining previous researches with her own teaching practice.If the teachers and students can benefit from this paper,it is a pleasure for the author.Due to the limitations of the author's ability,it is inevitable that there are some immature ideas.For example,in the third chapter,the basic knowledge and exercises used in the textbook is the A version,and is based on the contents of the liberal arts to sort out.But for other students,knowledge points and exercises may not be complete.In addition,when analyzing the exercise in the third chapter,the theory of the second chapter and that of the third one is not very close.The author hopes that more and more people can study classified discussion,so that people's understanding of this thinking method can be perfect one day.