Teachers' Knowledge And The Teaching Of Trigonometric Functions

Based on the theory of MPCK and MKT,this paper adopts the method of combining theory and practice to investigate and study the teaching knowledge of trigonometry of normal university students.Through consulting periodicals and books,I learned about the theoretical achievements and current situation of mathematics teaching knowledge at home and abroad,and found that the relevant studies were not rich and in-depth enough.Moreover,considering the current teaching situation of normal university students,it is determined to further explore the knowledge required by the teaching of trigonometric functions of mathematics normal university students.Combining the relevant theories of MKT and MPCK with the content of trigonometric functions in the curriculum standards of high schools,the teaching knowledge framework of trigonometric functions for normal university students was established.According to the proposed framework,a questionnaire was developed to investigate the current development of trigonometric function teaching knowledge of normal university students.SPSS software was used to analyze the questionnaire data and explore the relevant influencing factors.A case study is made on the teaching design and teaching method course recording of the normal university students majoring in teaching mathematics.Finally,according to the influence factors and case analysis,the paper gives some Suggestions to promote the development of trigonometric function teaching knowledge of normal university students.The main contents of this paper are as follows:(1)Based on the relevant theories of MPCK and MKT and the content of trigonometric function in high school mathematics curriculum standards,this paper explains the knowledge required by normal university students in trigonometric function teaching and gives the framework.(2)Through investigation and research,we have a preliminary understanding of the current situation of the knowledge level of trigonometric function teaching in high school ofnormal university students,and find out some influencing factors through data analysis.(3)Based on the factors affecting the knowledge level of trigonometric function teaching and the case analysis,some Suggestions are given to promote the development of the knowledge level of trigonometric function teaching of normal university students.