A Comparative Study On The Content Of Plane Vector In High School Mathematics Textbooks

Teaching materials are the bridge connecting students and teachers.Students take teaching materials as the template of learning and the basic basis of knowledge expansion,while teachers take teaching materials as the reference of knowledge teaching.The comparison of teaching materials is a commonly used means to study teaching materials.Compared with the horizontal comparison,the vertical comparison of teaching materials has its own advantages.There is no regional and cultural background difference in the content of the vertical comparison,so the comparison has a stronger practical value.Plane vector is a key content of mathematics education in senior high schools in China.Researchers found that its knowledge content in different versions of textbooks of human education a is quite different,which is mainly reflected by the increase and decrease of knowledge content,the change of background materials,the adjustment of case exercises,etc.This study will summarize and compare these aspects,in order to find out the similarities and differences and the causes of the similarities and differences through this study,and find out the advantages and disadvantages of the a version of Chinese people's teaching materials,so as to provide a reference for the education and teaching work of the front-line high school mathematics teachers.In this paper,the content of plane vector in a2001(old version),2004(current version)and 2019(new version)of human education is taken as the research object.Based on the collection of three versions of textbooks,the content of three versions of textbooks iscompared.From the macro point of view,first of all,the differences and connections of the three versions are studied from the position of knowledge content,and then the similarities and differences are studied from the structural order.Then combined with the relevant specific cases to analyze the differences between the three sets of textbooks,and draw relevant conclusions.Then compare the differences of the three versions of the textbook from the microcosmic point of view,specifically,compare the background,thinking level and presentation mode of the knowledge content in the textbook.Among them,the presentation mode can be subdivided into the comparison of knowledge introduction,example exercises,theorem proving,practical application part and after class thinking and exploration part.Through the comparative study,we find that there are three sets of teaching material differences:(1)from the perspective of chapter structure and location,there are huge differences among the three sets of teaching materials due to the different compilation ideas,the old version has more detailed chapters,and the current version and the new version have a sense of hierarchy more in line with the logical thinking;(2)from the micro perspective,we find that the three sets of teaching materials are in the knowledge background Most of them have chosen the physical background to teach,and all of them are old materials that have been used for nearly 20 years.The three versions are obviously different in knowledge introduction.With the updating of the textbook version,the three versions gradually reduce the direct introduction in knowledge introduction,and increase the proportion of problem introduction and situation introduction.The three versions of the textbook are lack of story introduction.Through the comparison of theorems It is found that there is no new idea in the old version of the theorem citation and the lack of stimulation for students,while the current version and the new version have some improvement in the citation.In the theorem proving,the new edition has a strict demonstration process,and the other two editions have adopted the non rigorous proof;most of the planar vector examples are the same,and a few of them are different,and the difficulty of the exercises is the highest in the new edition and the second in the old edition;in the thinking and exploring part,it can be seen that the design of the old edition has the least content,which is enhanced in the current edition and the new edition;the three textbook versions are used in the vector application examples There is almost no change in the selected examples and settings.There are differences in the content of plane vector among the three teaching materials ofteaching version a,and there are deep changes in educational history behind them.Researchers put forward their own thoughts on the reasons for the differences:(1)the guiding role of curriculum standards in teaching materials;(2)the leading role of different era background in the compilation of teaching materials;(3)the inherent mode of teaching materials under traditional education;(4)the impact of examination evaluation system on teaching materials.Although the three versions of textbooks compared in this study are not textbooks of the same era,this study has brought some gains to the researchers.Here are some suggestions for the compilation of textbooks:(1)the layout of textbooks should be more vivid;(2)the background materials should be updated in time;(3)the interaction between teachers and students should be emphasized;(4)the setting of exercises should be closer to the needs of examinations;(5)the publicity of traditional culture should be added to textbooks;(6)the design of textbooks should meet the needs of students at different levels.