A Comparative Study Of Senior High School Textbooks From The Perspective Of Mathematics Core Literacy

Textbooks are the main carrier and basis of teaching for teachers and students,and are the further refinement of curriculum standards.The quality of teaching materials will have a direct impact on the teaching effect,and then affect the quality and process of education.With the promulgation of the 17 th edition of senior high school mathematics curriculum standard,the proposition of mathematics core literacy has condensed the curriculum objectives.The comparative study of new and old textbooks from the perspective of core literacy helps to improve the perspective of textbook comparison and promote the comparative study of textbooks;It is conducive to the promotion and use of new textbooks;It can also provide some reference and suggestions for the new curriculum reform and the new college entrance examination from the perspective of concise teaching objectives,namely core literacy.The research object of this study is the trigonometric function part of the high school mathematics textbook of Beijing Normal University published in 201 1 and the high school mathematics textbook of Beijing Normal University published in 2 0 1 9(hereinafter referred to as " old textbook" and " new textbook").There are three chapters:one is trigonometric function,the other is trigonometric identity transformation;The third is to solve the triangle.It mainly uses the research methods of literature analysis,content analysis,comparison and statistical charts.The research and design are mainly carried out from two aspects: macro and micro.On the one hand,there are two aspects of comparison,namely,the comparison of the arrangement of chapters and chapters of the textbook and the comparison of the types and proportions of core literacy embodied in the two versions of the textbook.Here,the trigonometric function of the two versions of the textbook is divided into the activity system,the example system and the exercise system.Secondly,on the basis of macro comparison,the micro aspect is carried out according to the principle of emphasis and materialization,and there are also two main contents of comparison.The first is concretization,which is divided into three chapters according to the textbook,and explores the comparison of the types and proportions of the core mathematical literacy embodied in the specific chapters.Here,Professor Bao Jiansheng’ s five-factor multi-level textbook difficulty model is used;The second is the key theory,which focuses on the comparison of the core literacy of the two versions of the textbook exercise inspection level.Here,Professor Yu Ping’ s division model of the level of mathematical core literacy is used.The research conclusion shows that,on the one hand,(1)the arrangement of the style chapters of the new and old textbooks is slightly different,for example,the new textbook compresses the chapter of solving the triangle into one section.(2)The types of mathematical core literacy embodied in the new and old textbooks are the same,but the proportion is different: in the activity system,the mathematical operation,logical reasoning and mathematical abstract literacy are larger than the old textbooks,and only the intuitive imagination literacy is slightly smaller than the old textbooks;In the example system,the proportion of the new textbook of intuitive imagination and mathematical abstract literacy is larger than that of the old textbook,while the proportion of the new textbook of mathematical operation,logical reasoning and mathematical modeling literacy is slightly smaller than that of the old textbook;The proportion of each accomplishment in the exercise system is roughly the same.In general,the new textbooks pay more attention to students’ participation in classroom activities and pay more attention to core literacy.Second,in the micro aspect,(1)For the three qualities of mathematical operation,intuitive imagination and logical reasoning that are mainly reflected and investigated in the trigonometric function part,take the example of the two editions of textbook for research.The results showed that the difficulty of mathematical calculation and logical reasoning in the new textbook was higher than that in the old textbook,and the specific manifestation of visual imagination literacy inspection was different.The new textbook paid more attention to the combination of numbers and figures and calculation than the old textbook,while the old textbook paid more attention to the inspection of figure transformation.(2)As for the core literacy level of the exercises in the two editions of textbooks,the research shows that the exercises in the two editions of textbooks mainly focus on Level 1,a small part on Level 2,and no exercises on Level 3.In the investigation of logical reasoning,mathematical operation and intuitive imagination,the new textbook has a slightly higher level of investigation than the old textbook,and the form of investigation is slightly different.