| Entering the 21 st century,China’s economy,culture,science and technology are developing rapidly,education should not be left behind,training the successor of all-round development in the new era is the demand and necessity of education.Ordinary high school mathematics curriculum standards(2017 edition)puts forward six core high school math literacy: "mathematical abstraction and logical reasoning,mathematical modeling and mathematical operation,intuitive imagination and data analysis.As the main line of high school mathematics,the teaching of functions has extremely important applications in the whole high school learning and the development of real life.The study of compulsory first year of senior high school is mainly about the function properties and applications of basic elementary functions.In the later learning,derivatives,analytic geometry,sequence,inequality and equation is also inseparable from the function,Mastering the content of functions for the future research of higher mathematics is also of great help,which reflects the importance of function in high school mathematics.Mastering the content of function is of great significance to the learning of high school knowledge and the cultivation of the core accomplishment of mathematics.This article carry on the research from the literature analysis method,questionnaire,and interview method.Firstly,this paper summarizes the research on core literacy at home and abroad,and briefly summarizes the proposal and the importance of the function of core literacy in mathematics in China.After that,students were investigated by questionnaires and examination papers to understand their implementation of function learning and their understanding of core literacy.The students are interested in the function content,but they think the content is more complicated.Students’ learning interest affects their learning status to a certain extent,and teachers’ teaching methods also affect their learning status.Students mainly have some problems in mathematical abstraction,logical reasoning and mathematical operation.They have a simple understanding of the properties of functions,parity,symmetry,domain,range,etc.,but when these things are put together it is easy to ignore something.Students have not established the consciousness of combining number and shape of functions,and have no habit of drawing.In the form of interviews,we have a certain understanding of the implementation of core literacy in teaching among five front-line teachers.Five teachers have certain understanding for the core of mathematics accomplishment,and participate in related training,they also willing to study mathematics core of autonomic learning literacy,they think that the teaching of the function should be include in that six core mathematics literacy,but in actual teaching concrete penetration is more of a mathematical abstraction and logical reasoning,mathematical operations.In view of this situation,six suggestions of function teaching based on core literacy in senior high school are given.(1)Combination of number and shape function.(2)be good at summarizing and solving connotation.(3)Return to the source of textbooks.(4)Information technology helps development.(5)one more solution to promote understanding.(6)Slow pace of students.And on this basis,the high school mathematics teaching case "Exponential Function" based on core literacy is obtained to provide reference for teachers. |