The Case Design On The Mathematical Culture Integrated Into Chapter Teaching Of Trigonometric Function

Since the 21 st century,my country has carried out a new round of basic education curriculum reform,among which three revisions of the curriculum standards for senior high schools pointed out that mathematics culture should be reflected in the teaching of senior high school mathematics curriculum.In particular,in the "General High School Mathematics Curriculum Standard(2017 Edition 2020 Revised)" promulgated by the Ministry of Education,it is further emphasized that mathematics culture should be integrated into the teaching of high school mathematics curriculum.Integrating mathematics culture into high school mathematics teaching can help students better understand the role of mathematics in human civilization and social development,as well as the application of mathematics in natural sciences,technical sciences and social sciences.At present,domestic and foreign scholars' research on mathematics culture mainly focuses on theory,and there are few cases involving practical teaching.Based on the textbook of "High school mathematics,Beijing Normal University Edition compulsory Vol.2",combined with years of teaching experience,this paper studies the strategies for integrating mathematical culture into the teaching of trigonometric functions through literature research and experience summarization,and gives A specific case design is presented,which provides some references for front-line teachers to integrate mathematics culture in the process of practical teaching.The main body of this paper consists of four parts.First,it introduces the background of mathematics culture,research status,research significance and a summary of concepts related to mathematics culture.Then,it summarizes the method of integrating mathematical culture into the teaching of trigonometric functions,which provides a theoretical basis for case design.Next,through the unique two-line situational model,a situational teaching case of the concept of the radian system and trigonometric function is designed;combined with the penetration of mathematics in the natural sciences,a teaching case that reflects the application value of trigonometric functions is designed.Finally,the innovation of the article is clarified and the existing problems are pointed out.The research purpose of this paper: to integrate mathematics culture into the teaching of trigonometric functions,so that students can better understand the evolution of mathematics in the historical development of ideas and methods and the necessity of introducing the arc system,stimulate students' interest in actively learning mathematics,and feel mathematics The specific application in natural science,to establish a correct outlook on life,values and world outlook.