A Comparative Study On The Difficulty Of Example Problems Between The New Version Of Renjiao A And Xiangjiao High School Mathemetics Textbook

The results of many large-scale international comparison projects have shown that Asian students far outperform students in Europe and the United States,and Chinese mathematics education has received increasing attention.Many scholars have begun to conduct comparative research on domestic and foreign textbooks.At the same time,there are many versions of domestic mathematics textbooks,and comparison of different domestic versions has become a hot topic for domestic scholars.The trigonometric function as the basic elementary function arranged in textbooks,occupies an important position in the high school mathematics curriculum.It has a high level of abstract knowledge and a large number of conceptual formulas.The trigonometric function,for both the teachers and the students,is a big challenge.The renjiao A vision is the most widely used textbook in the country,the xiang vision is the local textbook.Therefore,the trigonometric function in the two versions of the latest version of the textbook is selected for analysis and comparison,and I hope to provide a reference for the preparation of the trigonometric function.Through a comparative study of the difficulty of the trigonometric function examples of the two sets of textbooks,the following conclusions are reached:(1)The two sets of textbooks have little difference in the overall content selection,and there are obvious differences in the naming of some sections;In the content arrangement,the new renjiao A version combines trigonometric function and triangle identical transformation into one chapter and arranges it in the fifth chapter of the compulsory first volume,and the new xiang version arranges it as two chapters in the first and second compulsory volumes respectively.Specifically,the content of the sections and the number of knowledge points in the two sets of textbooks are different.In the triangle identical transformation section,the new xiang version shows more transformation formulas;In terms of knowledge introduction,the new renjiao A version mostly start from the old knowledge,and pay more attention to cohesion.The new xiang version often introduce new knowledge with new mathematical situations.(2)The number of examples in the new xian g version is much larger than that in the new renjiao A version.The difficulty of the new renjiao Aversion between each section is larger,and there is a lack of a certain number of transitional examples between simple and comprehensive topics.The new xiang version do a better job in this respect,which is in line with students' acceptance ability after learning new knowledge.(3)The comprehensive difficulty of some examples of trigonometric functions of the new renjiao A version is slightly higher than that of the new xiang version,but the overall difference is not large.In terms of computing and knowledge integration,the new renjiao A version is slightly higher.In terms of background factors,the new renjiao A version is higher.In terms of inference and mathematical cognition,the two sets of textbooks are basically the same.In addition,compared with other factors of difficulty,both sets of textbooks present a higher weighted average on the two factors of mathematical cognition and operation.