Limit Thinking And Teaching Research In Mathematics Textbooks For Primary And Secondary Schools

The essence of mathematics is mathematical thinking method,but mathematical thinking method is the key to solve mathematical problems.As an important part of mathematical thinking method,limit thinking method plays an important role in mathematics.Many researchers have written a large number of articles about the limit thinking method contained in mathematics in primary and secondary schools,but their opinions vary greatly.Among them,there are few limit thinking methods contained in the mathematics textbooks of primary and secondary schools,and the stages of research are separated and lack of systematicness.Therefore,it is of practical value and significance to excavate and analyze the content,which limit thinking method contained in primary and secondary school textbooks.This paper takes the textbook of people's education edition as an example,sorts out and classifies the concepts and knowledge points of limit thinking method contained in mathematics textbooks of primary and secondary schools.On this basis,I makes an in-depth analysis of the contents,and puts forward some teaching Suggestions.Finally,taking "the area of a circle" as an example,I give an inquiring teaching record.This paper mainly uses the text analysis method to analyze the content.On this basis I draw the following two conclusions:(1)Among the 37 contents arranged in the textbook,the proportion of implicit limit thinking method is 27%;The proportion of explicit and implicit limit thinking method is 19%.The percentage that explicitly contains the limit thought method is54%.Such result remind mathematics teachers to dig and analyze the limit thinking methods implied in textbooks.In the teaching process,teachers should not only focus on the explanation of the knowledge itself,but also deeply explore the thought methods contained in oneself.(2)From the results of the presentation frequency analysis: the frequency of "cyclotomic method" is 3;Secondly,the frequency of function definition,natural number,irrational number,straight line and plane is 2.The frequency of other contents is 1.Therefore,mathematics teachers should pay attention to the infiltration of the development history of limit thinking in the teaching process,and the infiltration degree of different levels of teaching content in the teaching processshould be different.In view of how to make "the penetration of limit thinking method" fall into practice,this paper puts forward two teaching strategies.First of all,teachers should recognize the mathematical thinking methods,especially the significance of limit thinking methods to students' lifelong development,so as to consciously infiltrate limit thinking methods in mathematics teaching practice.Secondly,teachers should dig and study math textbooks deeply,and try to extract the material containing limit thinking method,so as to make reasonable infiltration in teaching.