Study On The Causes And Countermeasures Of High School Students' Difficulties In Trigonometric Function Learning

Trigonometric function is an important channel of communication between elementary mathematics and advanced mathematics.Many mathematical knowledge such as function,vector,coordinate and complex number are related to trigonometry.A large number of practical problems also need to be solved by trigonometric function.In the high school mathematics course,trigonometric function is the basic elementary function knowledge point that should be given enough attention,it is not only the bridge that communicates algebra and geometry,but also the important channel that learns the combination method of number and shape.For students,trigonometric function is an important mathematical model that reflects the law of periodic change,and it is the first function with many-to-one relationship that they have come into contact with.Many scholars at home and abroad have conducted extensive research on the teaching of trigonometric functions,and the relevant scientific research literature is also relatively rich,which explains the importance of this knowledge content to a certain extent.Based on the study of the 2018-2020 National College Entrance Examination math papers,this paper found that trigonometric function questions are compulsory every year,and the average score of related questions is about 16.7.In order to find out the reasons for the students' difficulties in learning trigonometry and the high rate of losing marks,the author of this paper takes the students in her school as the research object,conducts a follow-up investigation and carries out an in-depth study.To understand the present situation of the research school high school students study trigonometric function,also for trigonometric functions of teaching and learning in the future work to provide experience and improve myself in the practical teaching work of the professional skills and teaching quality,in the study,this paper mainly through literature analysis,survey method and other methods,slow and steady and orderly,and then to summarize and analyze the information,And put forward the corresponding improvement strategy.First collected by sampling to select class of trigonometric function correlation test,carries on the statistical analysis,on the one hand,through the objective knowledge,the subjective topic knowledge and test the analysis of the first to find students practical difficulties existing in the process to solve the problem,on the other hand to the student actual classifies the error types in the process of analysis to solve the problem.Through the above analysis found that the students in the trigonometry exercise errors are mainly reflected in the following three aspects:(1)knowledge points can not accurately grasp;(2)lack of relevant ability in problem-solving practice;(3)the thinking direction of solving the problem is offset.Then through the comparison of three grade class pew results analysis,students' questionnaire survey,understand the part of students' interest in learning trigonometric function is not big,willpower is not strong,there are also students mastery of basic knowledge and learning methods are not so good,there are a lot of students hope to be able to get the teacher more effective,more specific guidance and help.This further shows that students' learning mastery,thinking methods,emotional attitude and other problems have a certain impact on the study of trigonometric functions.In view of the above survey results,combined with students' learning mastery,thinking method,practice exploration,emotional attitude and other aspects of the problem and the characteristics of high school students,the following trigonometric teaching strategies are provided for the front-line teaching teachers:(1)deepen the understanding of students' basic concepts;(2)deepen the students' memory and application of formulas;(3)pay attention to the connection between knowledge,cultivate students' comprehensive ability to solve problems;(4)strengthen the students' calculation skills,improve the correctness of calculation;(5)cultivate the students' thinking ability,pay attention to the penetration of methods.(6)Cultivate students' interest and will,strengthen the emotional communication between teachers and students.At the same time,it also provides the following learning countermeasures for students to learn trigonometric functions:(1)master the basic knowledge and concepts;(2)Develop good study habits;(3)Comprehension of mathematical thought,summary of learning methods.