A Comparative Study Of Mathematical Culture In High School Mathematics Textbooks

Starting from the understanding and connotation of mathematical culture,this paper holds that mathematical culture should include both recessive and explicit aspects.The recessive mathematical culture mainly includes some inherent characteristics of mathematical thought,spirit and method,while the dominant sequential mathematical culture mainly includes the history of mathematics,the relationship between mathematics and social life and mathematics and other sciences.On this basis,from the perspective of dominance,this paper takes the two editions of senior high school mathematics textbooks of Peking Normal University and Peking Teachers' University as the object,combines the requirements and compilation suggestions for the content of mathematics culture in the two major curricula of "General High School Mathematics Curriculum Standards(Experiments)" and "General High School Mathematics Curriculum Standards(2017 Edition)",and chooses,arranges and presents the form of content.Three dimensions,quantitative and qualitative analysis of the two versions of the textbooks in the compilation of mathematical culture,and test the degree of implementation of the requirements of mathematics culture embodied in the "General High School Mathematics Curriculum Standards(Experiments)" and the matching degree of the requirements of the "General High School Mathematics Curriculum Standards(2017 edition)".By classifying and counting the mathematical culture in the two editions of the textbooks of Peoples Education Press and Peking Normal University,the author draws some conclusions: the two editions of the textbooks have the same overall situation in the selection and arrangement of the contents of the mathematical culture,but there are slight differences in some details.For example,in terms of content selection,PEP pays more attention to the social life of the minority people,such as the Peking Normal University edition;in the way of layout,the application level of the history of mathematics culture in PEP is higher than that of mathematics and Humanities art,but the gap is not obvious,and the application level of the history of mathematics culture in Peking Normal University edition is far lower than that of mathematics and Humanities art.In the form of presentation: as a whole,the number of pictures and pictures in the textbooks of PEP is higher than that of the edition of Peking Normal University,that is to say,the effectiveness of the edition of mathematical culture is higher than that of the edition of Peking Normal University.From the requirements and suggestions of the two editions of the curriculum standard for mathematics culture,the two editions of the textbooks are well implemented,but for the "General Senior High School Mathematics Curriculum Standards(Experiments)",the proposal of "listing the bibliography of extracurricular reading and related sources for students to consult,collect and organize themselves" has not been adopted and implemented in both editions of the textbooks.Based on the above conclusions,the author puts forward some suggestions on the infiltration of mathematical culture in textbooks,with a view to contributing to the compilation of textbooks in China.