Teaching Research Of The Trigonometric Functions In High School

The trigonometric function content is an important part of high school mathematics.Triangulation is a mathematical knowledge to research trigonometric functions.Trigonometric functions also play an important role in learning complex function theory,solving equation,learning vibration and so on.For this part of the content both in the teachers' teaching and students' learning have a certain degree of difficulty,and the trigonometric function is the first contact which the students ever meet with more than one of the cycle function,so the students from junior high school mathematics thinking should all of a sudden jump to high school mathematics thinking,for them it is a big challenge.In the learning process students will have a series of problems,making the trigonometric function teaching process incoherent and unmatched which can have a certain impact on teaching,the thesis based on the above issues make the researches.The research questions described in this thesis are:(1)Find out the convergence problems when students learn trigonometric functions based on the writer's teaching class as the object of this research as when students in the study of trigonometric functions,there will be some problems;(2)Analyze the reasons for student's learning problems;(3)Find out feasible teaching suggestions and teaching strategies for the problem of convergence in junior high school;(4)Analyze the cases with mistakes through thestudents' homework.This study is based on the students of the writer's teaching class as the survey object,the teaching materials used by the students are published by the People's Education Publishing House "Ordinary High School Curriculum Standard Experimental Mathematics Textbook(Compulsory 4.B version)",the main research methods used are action research method;literature review and case analysis.The research found that:(1)The students have a certain problem in the mutual transformation of arc and angle in trigonometric function,so that the subsequent teaching process will produce negative transfer.Students are psychologically resistant to trigonometric functions,so this gives the trigonometric function teaching a certain degree of difficulty;(2)The students have poor basic computing skills which also stay in the junior high school operation level,so that although they can solve the problem during this process but there still will be errors in the operation;(3)The teachers should according to the specific circumstances of the students to teach in the teaching process,take a step by step teaching,teaching mathematics thinking and problem-solving methods in the classroom over time,then it can effectively train students' abilities to solve problems;(4)In the teaching process the teachers should teach in accordance with the students' aptitude and treat students as a fundamental,try to stimulate every student's interest in learning,so that every student can get the problem analysis and problem-solvingability;(5)Two teaching cases were given according to the writer's own teaching experience;one teaching case was written under the premise of no teaching experience and the other one was written during the gradually improve teaching process.If only all teachers focus on the design and analysis of the teaching cases and make recommendations then the classroom teaching will be improved better.