Investigation And Research On High School Students' Trigonometric Function Learning Difficulties

Trigonometric function is one of the important contents of high school mathematics.Although there are abundant research results on high school students' function learning,there are few researches focusing on trigonometric function learning difficulties.With the continuous progress of curriculum reform,trigonometric function content is constantly changing.In teaching practice,it is found that the county high school students have some difficulties in learning trigonometric function.Therefore,understanding the current situation of trigonometric function learning of high school students,analyzing the learning difficulties of trigonometric function and putting forward solutions are of great significance to systematically understand the content of trigonometric function,promote the development of teachers' mathematics teaching knowledge,and the teaching of trigonometric function content.In order to understand the current situation of trigonometric function learning of senior high school students,200 students from four classes of senior high school in Guangshan County were investigated and tested.Combined with the survey data,students' learning difficulties and reasons were analyzed,and then countermeasures were put forward.The results show that 29% of the students don't like mathematics,11% of the students don't listen in class,35% of the students feel difficult or nervous when they encounter trigonometric function questions,26% of the students don't take notes in class,61% of the students don't have the habit of preview and review in advance,and 77% of the students can't learn trigonometric function independently The survey results show that students have different degrees of problems in learning habits,attitudes and psychology.The main reasons are as follows:(1)lack of interest and confidence in learning;(2)poor learning autonomy and non active exploration;(3)low classroom efficiency and unscientific methods.Based on the trigonometric function,a test paper is compiled.The test results show that the error rate of the concept of any angle is 26%,the error rate of radian system is23.5%,the error rate of trigonometric function of any angle is 39%,the error rate of the basic relationship of trigonometric function of the same angle is 52.5%,the error rate of trigonometric function image and property is 73%,and the error rate of function image is62%.The test results show that students can learn trigonometric function well There are three reasons for learning difficulties:(1)poor mathematical operation ability;(2)poor logical thinking ability;(3)poor comprehensive application ability.According to the difficulties and reasons of the county high school students in learning habits,attitudes and solving specific trigonometric function problems,this paper puts forward the following solutions: in learning habits and attitudes:(1)adjust the learning state and enrich the classroom content;(2)cultivate the ability of self-learning and dare to ask questions;(3)strictly require themselves,pay attention to the summary of methods;in solving specific problems In terms of trigonometric function problems:(1)improve the efficiency of trigonometric function operation,pay attention to variant training;(2)pay attention to problem-solving reflection,overcome thinking obstacles of trigonometric function;(3)build knowledge system of trigonometric function,strengthen comprehensive application;(4)pay attention to hierarchical teaching of trigonometric function,implement individualized teaching.