Explore And Analyse The Writing Characteristics In New Mathematics Textbook Of Senior Middle School ——Taking The "Trigonometric Functions" As An Example

In 2019 new versions of textbooks were put into use across our country.Textbook is materialization of curriculum standards,it is the bridge of curriculum standard from theory to practice,it is an important factor affecting the implementation of students' mathematics core accomplishment.Teachers' ability to research textbook directly affects the attainment of the educational goal of "establishing morality and cultivating talents".Trigonometric function is one of the important contents and basic elementary functions in high school mathematics,it is an important link between geometry and algebra,it is an important carrier of combination of number and form.At the same time,there are great changes in the arrangement and selection of trigonometric functions in the new textbooks,its unique complexity and abstraction make this part of the knowledge difficult to teach.Students have a low level of understanding,the teaching effect is poor.Therefore,explore and interpret the compilation characteristics of trigonometric functions in the new textbooks,adjust and improve the teaching method according to these characteristics,it has important research significance and value for improving teaching effect and developing students' mathematics core accomplishment.Based on the above background,this paper takes trigonometric functions as the research object in compulsory 1 of 2019 General High School Mathematics Textbook A edition(hereinafter referred to as the "New Textbook").Firstly,literature study and comparative study are adopted.This paper analyzes the compiling characteristics of the new textbooks from five aspects: style structure,chapter setting,knowledge arrangement,material selection,sample exercises setting,according to these characteristics,the content of "trigonometric function" is interpreted in the form of sections from the perspective of core literacy,it provides reference for teachers to study and use textbook effectively;Secondly,ISM method is adopted.Through determining the core elements,determining the formation relations between elements,finding the reachable matrix,finding the hierarchical directed graph,analyzing the results of five steps,explore the rationality of compiling trigonometric function in the new textbook;Finally,questionnaire survey and teacher interview were used,understand teachers' use of new textbooks in classroom teaching,this paper analyzes the obstacles and difficulties encountered by teachers in the process of developing students' core literacy by using new textbooks,it provides realistic basis for the teaching suggestion.Through theoretical research and investigation analysis,it is found that the compilation of the new textbooks embodies the integrity of mathematics,the coherence of logic,the consistency of thought,the universality of methods and the systematicness of thinking.According to the above characteristics,it suggest that teachers should grasp the integrity of teaching materials in teaching,develop students' core qualities of logical reasoning;Focus on the introduction of trigonometric functions,develop students' core literacy of mathematical abstraction;Strengthening the application of information technology,develop the core literacy of students' intuition imagination;Strengthen the application of trigonometric functions,develop students' core literacy in mathematical modeling;Improve the understanding of trigonometric formula transformation,develop students' core accomplishment of mathematical operation.It suggest that students pay attention to the basic concepts in their study,understand the nature of mathematics.Build knowledge framework,look for connections between knowledge;Try to think from different aspects,develop divergent thinking.