A Test Study On The Function Learning Level Of Senior One Students In General High School

In real things or in some cases,different variables are generally dependent on each other.Functions use explicit language,mathematical formulas,clear images,and so on,to depict all kinds of relationships between variables,it is an important mathematical model for describing the changing law of the objective world.Function is one of the most basic concepts of modern mathematics,function knowledge has always been an important part of the whole mathematics knowledge system of high school,it runs through the whole high school mathematics teaching.Klein,the world-famous mathematician,regards function as the "soul" of mathematics,and thinks that it should be regarded as the "cornerstone" of mathematics in middle school.Learning and applying function knowledge can not only train students’ ability of operation,reasoning and so on,but also cultivate their thought of model.Functions are also inextricably linked with mathematical methods such as the combination of numbers and shapes.It is not only the key but also the difficult point in the frame of high school knowledge system.The first year of senior high school is an important stage to lay a good foundation for the learning function in the whole high school,therefore,it is very necessary to test and study the learning level of the students in the first stage of high school,and it is of positive significance to analyze the results of the study.At present,most of the domestic and foreign researches on the direction of function focus on the obstacles,difficulties and difficulties of students’ learning of the concept of function,this study focuses on the students’ learning level of function-related knowledge and their ability to solve function-type exercises.In this study,by consulting the relevant literature,interviews and exchanges with front-line mathematics teachers and experts in the field of mathematics,in combination with relevant requirements of mathematics curriculum standards,a set of functional content test scale containing 16 items can scientifically and objectively test the function learning level of senior high school students.Students from 13 classes in 4ordinary senior high schools in D city were selected to send out the test scale,and all of them were tested by the method of 1,0 binary score,using Mathematical Software to sort out the test results.Combined with the knowledge of CTT and IRT,PASW Statistics 18 software is used to test the hypothesis,after that,the test results are analyzed by the CTT and the IRT function of the ANOTE1.60 software,the difficulty parameter,discrimination parameter,reliability parameter and validity parameter are calculated,the corresponding analysis of theparameter results,combined with the analysis results and test scale as well as the relevant experience during the practice,put forward suggestions for the improvement of function teaching.