Comparison Of Trigonometric Function Contents Between Old And New Textbooks Of Senior High School Mathematics ——Taking The Human Education Edition As An Example

In 2017,Mathematics Curriculum Standards for Ordinary Senior High Schools(2017Edition)were issued in China,and corresponding mathematics textbooks were also published.According to different curriculum standards,there will be different educational concepts and objectives,corresponding to different versions of the textbook will present different characteristics.This thesis selects the teaching contents of trigonometry from four editions of textbooks published by People's Education Press(A,2019),People's Education Press(B,2019),People's Education Press(A,2007)and People's Education Press(B,2007)to conduct A comparative study in the following four aspects:(?)The comparative study of the compilation concept of teaching materials and the curriculum objectives is mainly carried out according to different curriculum standards.(?)The comparative study of the structure of teaching materials,mainly including the comparison of the introduction(the picture before the chapter,text narration),the comparison of inquiry learning and topic learning,the comparison of the specific selection of reading materials,the comparison of the application of modern information technology,the comparison of the content structure of the chapter summary,etc.(?)A comparative study of the contents of teaching materials,mainly studying the two important concepts of "radian system" and "arbitrary Angle trigonometric function" in this chapter,and a comparative study of the three induction formula,the nature of trigonometric function and the knowledge arrangement sequence of images,and the teaching contents that show the periodicity of trigonometric function.(?)Comparative analysis and research on the difficulty of teaching materials,mainly from the depth,breadth of teaching materials and comprehensive difficulty of exercises,and then the overall comparison of comprehensive difficulty of teaching materials.Through comparative analysis,the basic characteristics and main changes of the compilation of trigonometric teaching content in four versions of textbooks are obtained.(1)Human education A pays more attention to the integrity of knowledge presentation,while human education B focuses on the application of knowledge.(2)Human Education VERSION A attaches importance to the association of knowledge,while human Education Version B focuses on the use of students' existing experience.In addition,compared with the old and new textbooks,this thesis draws a conclusion:(1)compared with the old textbooks,the new textbooks highlight the relationship between knowledge.(2)The new textbooks pay more attention to the scientific and rigorous formation of concepts and propositions.(3)The new textbooks pay more attention to the simplicity of the teaching process,delete the complicated and simple,delete a lot of unnecessary knowledge,and simplify exercises.(4)More emphasis on the study of research methods.Finally,three teaching suggestions are given:(1)take the unit circle as the line and run through the whole teaching process.(2)Arrange teaching content as a whole rather than as a unit of one class hour.(3)Based on the existing experience of students and taking the nature and image of sine function,which changed greatly in the arrangement order of the B edition of human Education textbook in 2019 as an example,teaching design cases are provided in accordance with the teaching suggestions put forward in this thesis.