The Analysis Of Quadratic Function Comprehensive Questions And Teaching Strategies In Junior High Schools

With the reform of national new curriculum in 2011,our country issued the compulsory Education Mathematics Curriculum Standard(2011 edition),which is called the New Curriculum Standard in this paper.It puts forward a series of new requirements for secondary school education.Quadratic function plays a core role in the New Curriculum Standard.The teaching of it is the focus and difficulty in junior middle schools,and it is also the hot testing point of entrance examination for senior high schools in many provinces.At the same time,function is a fundamental and necessary tool of mathematics learning as well as many other subjects learning,such as physics,chemistry and other natural science.What's more,the thought of function has penetrated into almost all the fields in our daily and industry life and it has been universally used in mode-building to solve practical problems as well.On this basis,the paper mainly discusses the following three parts.The first part analyses the status and work of quadratic function in junior middle schools,students' cognitive condition of quadratic function and the content of quadratic function in junior middle education textbooks.The second part focus on the quadratic function test exercises in the true tests of the senior high school entrance examination for Hainan province in recent years,and finds the main problems existed in the students' learning by combining the cases analysis of the ninth grade students.The last part studies the teaching strategy of quadratic function.By studying the background of quadratic function in junior high school,the author clarifies the important position and work of quadratic function in teaching.Firstly,this paper sorted out the comprehensive test exercises of quadratic function of Hainan entrance examination for senior middle schools in the past ten years,and studied the testing rules of quadratic function comprehensive exercises from three aspects: the scoring,examination points and key methods in problem solving.This paper also disposes the testing results of the students who have participated in Hainan senior high school entrance examination in the past five years,and finds out that most of the students did not do well.In addition,it also makes a careful analysis of the recent three years' test exercises.Secondly,based on the typical cases analysis of more than 500 students' answer situation of quadratic function comprehensive questions in a middle school,this paper summarizes the main problems: the mastering of relavent knowledge is not solid,and the aquired knowledge cannot be used synthetically;the ability of mathematical operation and comprehensive application is poor,and the mathematical thinking pattern cannot be applied flexibly to solve problems.Finally,combined with the above analysis,this paper summarizes the shortcomings of the current teaching methods,and constructs targeted teaching strategies about quadratic function.In addition,this paper chooses the graphic area problem of quadratic function synthesis as an example and compiles a teaching design.The purpose of this paper is to seek reasonable teaching strategies of quadratic function comprehensive questions through the analysis of its problems,so as to serviceably guide the teaching of quadratic function.It is hoped that this paper can provide some help for exploring the functional teaching mode which is suitable for the actual situation of junior middle school students,and provide reference for teachers,thus,to make quadratic function learning and teaching more effectively.