Study On The Teaching Of Middle School Function Of Infiltration Mathematics Thought

With the deepening of the new curriculum reform,people gradually realized the importance of mathematical thinking in teaching.In the new curriculum,it is also clearly proposed that "through the mathematics study at the stage of compulsory education,students can get the basic knowledge,basic skills,basic ideas and methods and basic activities of the future social life and further development." Therefore,in teaching,teachers should not only focus on knowledge imparting and problem-solving skills training,but also pay attention to infiltrating related mathematical thinking.In junior high school mathematics learning,function occupies a very important position,it is not only the key of the exam,but also closely related to most of the knowledge of high school.Therefore,in junior middle school function teaching,it is very necessary to explore the teaching research of mathematical thinking from the perspective of teaching strategies and design.The research methods adopted in this paper include literature research,text analysis,interview and case study.The third chapter is the author,on the basis of a certain literature review,to establish an analytical framework to analyze the mathematical ideas and levels of the function content of the mathematics textbook of junior high school.Based on the analysis of the third chapter,we make an interview with the teachers in the classroom and after class to analyze the current situation of the mathematical thought of the permeable number in the junior high school function teaching,and find out,analyze the problems and put forward the strategies to solve the problems.The following conclusions are obtained:(1)there are many mathematical thoughts in junior high school mathematics textbooks.such as function thinking,equation thinking and combination of numbers and shapes.(2)The basic principles that should be followed in the teaching of mathematics in the classroom are:(1)The implicit principle;(2)Step by step principle;(3)The principle of student participation;(4)the principle of enlightening.(3)The teaching strategies of infiltrating mathematical ideas in the teaching ofnew teaching are:(1)Creating situations and feeling mathematics thought;(2)Exploring problems and penetrating mathematical ideas;(3)Practicing consolidation and applying mathematics thought;(4)Introspection and deepening of mathematics thought.(3)The teaching strategies of infiltrating mathematical ideas in the teaching of function exercises are as follows:(1)Review and review the mathematical ideas;(2)The analysis of the examples,the strengthening of the mathematics thought;(3)The exercises of exercises,and the use of mathematical ideas.