A Comparative Study On Trigonometric Functions Of Senior High School Mathematics Textbooks Between People's Education Version A And Cambridge Version

With the increasingly significant trend of internationalization,there are more and more domestic and international schools,and IB international education,known as the "leader of international education",has naturally attracted a lot of attention.The author attempts to compare the domestic textbook and the IB International Diploma teaching textbook,so as to get the essence and provide reference for the compilation of domestic teaching textbook.This paper takes the trigonometric function content in the high-school mathematics textbooks of the People's Education Press version a and the IB textbook Cambridge version as the research object,and makes a comparative study from the following aspects:(1)Macroscopically,it analyzes the curriculum system,the requirements of curriculum standards and the characteristics of teaching materials;(2)In terms of content breadth and depth,through the comparative analysis of concept mapping,it is found that the number of knowledge points in PEP version a is more than that in Cambridge version,the depth is deeper,but the breadth is limited;(3)On the micro level,based on the analysis of concept maps,this paper compares and analyzes the homogeneous content of trigonometric function module in the two editions of textbooks from five aspects: concept,operation formula,image and property,model and application,and examples among them.The concept mainly compares the introduction of radian system and the concept of trigonometric function.The operation formula mainly compares the similarities and differences of the derivation process of induction formula and trigonometric identity transformation formula.The image and property mainly compare the exploration process of the image and property of trigonometric function.The model and application mainly compare y Asin(x)or y asinb(x c)d.As for examples,the core literacy examined by each question is quantitatively analyzed by using the difficulty model;(4)From the perspective of curriculum standards,this paper analyzes the unique contents of trigonometric function module in the two editions of textbooks,such as half angle formula,inverse trigonometric function and inverse trigonometric function.Through comparative analysis,the characteristics of the two editions of textbooks in the compilation of trigonometric function module are obtained,which provides reference and suggestions for the compilation of teachers' instructional design.