Research Application Of Mathematical Thinking Methods In Trigonometric Function Teaching In Senior High School

Trigonometric function is the key knowledge point in high school mathematics examinations and the content of trigonometric function saturates with various mathematical thinking methods,the research is on how to explore and apply mathematical thinking method in high school from two aspects,that is,teachers' teaching and students' learning.By interviewing high school mathematics teachers' lessons of the concept of trigonometric function,principle,application in T city and through the student questionnaire survey to know whether students master the relative knowledge.Using the present situation of mathematical thinking method to analyse the existing problems.The study works out the strategies about trigonometric function of mathematics teaching in high school when the teacher penetrate,apply and activate the method of mathematical thinking and combining with the case of trigonometric function in the university entrance exam questions in recent five years,mathematical thinking method is applied to guide the university entrance exam for the teachers and students to solve the trigonometric function problem,eventually achieve the goal of improving the effect of trigonometric function teaching.The research methods used in this study include: literature analysis,questionnaire survey and interview method.Firstly,compile the first interview outline of the teachers and students questionnaire,mathematics teachers in senior high school in grade one in T city trigonometric functions of the present situation of mathematics thinking method in the teaching process of penetration,application and activation and the high student learning trigonometric function in the process of understanding and grasp of the present situation of mathematics thinking method in the investigation.Then,collect data analysis and find out: Teachers' problems:(1)They aren't familiar with Curriculum Standards for Common Senior High School;(2)Their ability of penetrating mathematics thinking method in the teaching process need to be improved;(3)They do not pay enough attention to thinking method in the process of infiltration mathematics thinking method;(4)Their ability to activate the mathematical thinking method should be further strengthened in exercise class.Students' problems: Students' ability is weak in applying mathematics thinking method in the process of learning trigonometric function and they do not apply mathematical thinking method to solve mathematical problem,their ability of understanding mathematics thinking method is relatively shallow.The study is with the support of cognitive theory,reinforcement theory and the theory of the zone of proximal development,about the high school mathematics thinking method in the application of trigonometric function,the study puts forward four strategies:(1)Improve teachers' understanding and attention of mathematical thinking method(2)Infiltrate of mathematical thinking methods in the formation of trig functions;(3)Apply mathematical thinking method in the exploration of trigonometric function principle;(4)Activate the mathematical thinking method in solving trigonometric problem.In addition,mathematical thinking method is applied to the teaching cases of trigonometric functions,and the analysis of the method of infiltration mathematical thinking is carried out.Mathematical thinking method is abstract in the real teaching.It is easy to cause the imagination that theory is out of integration with practice.filters in the teaching and learning mathematics thinking method is helpful to the development of students' mathematical thinking and expand their thinking,this article on the basis of interview and questionnaire to form some ideas about the mathematical thinking method in the teaching of the trigonometric functions,hoping to try to make some tentative work through theory and practice,which is a good reference for mathematics trigonometric function teaching in high school.