The Teaching Research Of Function Under The New High School Mathematics Curriculum Standard

In the age of the prosperity of big data and the rapid development of the internet,mathematics has created value for the society directly,which plays an important part in the economic and scientific development.Function,as an important part in mathematics,is closely related to the daily life and other subjects,running through mathematics as a main line.The function in high school plays an effective role in mathematics,so it is significant for the research on the teaching methods of high school function.In 2017,“Ordinary high school mathematics curriculum standards(2017 edition)” was officially promulgated.Compared to the “Ordinary high school mathematics curriculum standards(experimental edition)”,the newly published one differs from the original one in the course structure,which abandoned the original modular curriculum structure and set up the “main line-theme-core content” structure.By reading a large number of literatures,firstly,this article expounds the high school function from 4 perspectives,like the concept and nature of function,the concrete model of function,the application of function and the method of researching function.Secondly,on the basis of comparing the new high school mathematics curriculum standard with the “Ordinary high school mathematics curriculum standards(experimental edition)”,this paper analyzes the difference of the two edition mathematics curriculum standards in the content structure of the function course,and probes into the design basis of the function main line of the new high school mathematics curriculum standard.Finally,the teaching strategy for the main line of function is put forward,and the teaching design case of “function concept and its expression” is given.Hoping to make a modest contribution to the research and teaching of the main line of high school functions.This study mainly draws the conclusion of two points.First,the design of function main line in the new high school mathematics curriculum standard is based on the following 6 articles: “function content structure should condense the mathematics core accomplishment”,“the experience of previous curriculum reform in China”,“the construction of mathematics curriculum knowledge system in foreign countries”,“the function is a main line of the whole mathematics course”,“the student's cognitive development demand” and “social development needs”.Second,the teaching of the main line content of high school function can adopt the following 4 strategies: “paying attention to the creation of teaching situation and the unit design of mathematics teaching”,“highlighting the emphasis of function teaching” and “integrating information technology with classroom teaching”.