Comparative Study Of Trigonometric Functions In High School Mathematics Textbooks

The Ministry of Education issued the new curriculum standards for regular high schools at the beginning of 2018.The new plans,which will be implemented in the fall of 2019,not only reflect the country's basic norms for regular high school curricula,but also set new quality requirements for education and teaching.In the scope of mathematics,the textbook of PEP A edition has been revised in all aspects based on the curriculum standard of 2017 edition.Based on the above background,this paper aims to study the differences and similarities between the newly revised textbooks and the old textbooks,including the textbook system,content,presentation mode and art design,etc.After combing the relevant literature and high school curriculum,the author finally chooses the trigonometric function which is representative in the function part as the research carrier,so as to systematically study the specific changes of this part in the old and new textbooks.To sum up,this paper aims to study the content of trigonometric functions in the old and new textbooks,including the related conceptual images and properties,induction formula,identity transformation and application,but not including the solution of triangles.In this paper,the main research methods include literature analysis,content analysis,comparative research and mathematical model of quantitative analysis,in the process of analysis with the help of the concept map,comprehensive difficult math model,research tools and research model,such as difficulty of the class model established through access to information,after the first method,and statistical analysis,the last part sums up the research process,the trigonometric function part of the new textbook to the old one is analyzed from the macroscopic and microscopic,finally it is concluded that two editions in the content structure,the knowledge system,training system,and the similarities and differences between difficulty of the class.By summarizing and sorting out these research conclusions,the author puts forward five strategies that should be followed in the teaching of trigonometric functions,and combines them with related teaching theories,and illustrates them through the teaching design of "y=Asin(?x+?)".At the same time,through the comparative analysis of this part of textbooks,we can draw inferences from one example and use similar methods to analyze the changes of other contents of textbooks and the implementation of problems in actual teaching.