Trigonometric Knowledge In High School And University Stage

With the reform of secondary school and university courses, the convergence of secondary education and university education has been an issue of concern to the people. As a class of basic elementary functions, trigonometric functions have an important role in the study of properties of triangle and circle, and are also a basic mathematical tool in the research of periodic phenomenon. In the period of secondary school, we mostly study the defines, images and properties and can solve some simple practical problems. In college, trigonometric functions are the basic tools in the study of higher mathematics, but many first-year university students can not use them well, which has some connections with trigonometric knowledge they learned in high school. So the convergence of trigonometric in high school and college cause the author’s thinking. Through access to relevant literature, I determine the framework of this paper, the main body consists of four parts:The first part is the Introduction. Firstly, I identify the research problems; Secondly, I describe the purpose and significance of the study; finally I organize the literature and determine the research methods.The second part is a textbook study in high school and college on the content of the convergence of trigonometric. I mainly compare the basic requirements of trigonometric functions in the high school and college courses and the common three edition textbook content of high school. And I also analyze the convergence of trigonometric functions in calculus with the content in high school textbook.The third part is the practice of high school and college on the content of the convergence of trigonometric. I mainly take the form of a questionnaire on the first-year university students to conduct a survey of trigonometric functions learning, and I analyze the results combining with interviews.The fourth part is the convergence policies of high school and university on trigonometric content. According to the research results, I separately from the high school and university put forward some detailed solution strategies for teaching reference.