Research On Learning Disability Of "Trigonometric Function" In Senior High School Students And Its Countermeasures

Trigonometric function is a very important mathematical tool,which occupies a crucial position in physics,life practice and science.,trigonometric function knowledge points are involved in the mathematics compulsory fourth chapter trigonometric function,the third chapter trigonometric identity transformation,compulsory fifth chapter solution triangle and elective 4-4 polar coordinate system and other chapters.The content of trigonometric functions is complex and flexible,which requires students to have a solid knowledge foundation,agile mathematical thinking and accurate mathematical operation.However,a lot of practical experience shows that the process of learning trigonometric function is not smooth,and students in senior high school will encounter many doubts and difficulties.Some students can overcome difficulties and tackle them head on,while some students give up because they can't find a suitable way to learn trigonometric functions.As a result,there is a discontinuity in mathematical knowledge,which affects the subsequent learning of knowledge.This paper makes an in-depth study on the learning disabilities of high school students in learning trigonometric functions.This paper is based on the survey of the learning trigonometric function of the senior high School students in Songyuan City,Jilin Province.The students are investigated through the questionnaire survey,and the statistics and analysis of the questionnaire show the obstacles and confusion encountered in the learning process.Through interviews with several first-line teachers,the reasons for students' difficulty in learning trigonometric functions and their influence on subsequent learning are further discovered.Therefore,it is urgent to solve the problem of trigonometric function learning disability.According to pedagogy and educational psychology,this paper analyzes the causes of students' obstacles in learning trigonometric functions from multiple angles and puts forward corresponding countermeasures.Teachers' teaching and students' learning are the core,around which a variety of learning methods can be developed.Teachers' teaching and students' learning complement each other.On the basis of solid professional knowledge,teachers need to innovate flexible teaching methods.For example,teachers can study different versions of textbooks and explaintrigonometric functions from multiple formula derivation methods,so that students can understand trigonometric functions from multiple perspectives and levels.The traditional classroom model can also be adjusted and flipped classroom method can be used for teaching.The innovation of this paper is to "build a knowledge map".due to the variable and flexible formulas and methods of solving problems in trigonometric function,rote learning doesn't work.So we can guide students to build knowledge map,find the knowledge of each section and the connection of each formula,drawing together trigonometric function knowledge.By teaching students to draw inferences about other cases from one instance,let the students find the feeling of the "lead a launch whole body".