A Study On Learning Difficulties Of High School Students With Trigonometric Identity Transformation

After the implementation of《Senior High School Mathematics Curriculum Standards》(experiment),the part of trigonometric identity transformation reduced the difficulty and requirement,but from the entrance examination scores in recent years,this part of score is not excellent,it is one of the difficulties in learning.In order to solve the problem of high school students’ learning difficulties in trigonometric identity transformation,this paper was based on the theory of CPFS structure and made the test of trigonometric identity transformation,then,this paper investigated and analysed the learning of trigonometric identity transformation of high school students,and by more interviewing from some students and teachers based the test results.Through the investigation and study,there are many difficulties in constructing the CPFS structure of the trigonometric identity transformation,which were mainly focued on four aspects: knowledge,method,ability and habit,included:(1)the difficulty of knowledge understanding;(2)the difficulty of knowledge transfer;(3)the ability of self-monitoring weakly;(4)the ability of logical reasoning weakly;(5)the ability of solving mathematical problem weakly.Acording to the problems,this paper with the principles of mathematics learning and teaching got some suggestions to students and teachers,improved students’ construction of CPFS structure,solved the problems in learning the trigonometric identity transformation of high school students.