A Study On The Arrangement Of Plane Vector In Mathematics Textbooks For Senior High Schools

Textbooks are an important carrier of knowledge,and the way they are arranged affects not only teachers 'teaching,but also students' learning.After the introduction of plane vectors into middle school mathematics,the layout of plane vectors also changed with the continuous change of textbooks.Planar vectors are a powerful tool for dealing with related mathematical problems.Can the layout of vector content in the current textbooks make their instrumental effects effective?How should we arrange the contents of plane vectors in textbooks?Based on these two issues,this paper uses the literature research method,text analysis method,questionnaire survey method,and ISM method to study the layout of plane vectors in textbooks.The content of this article mainly includes the following sections:The first chapter is the introduction,which introduces the research background and significance;The second chapter is a literature review,which mainly summarizes the development of vectors,the research on the layout of plane vectors in textbooks at home and abroad,and the research on the ISM method at home and abroad;The third chapter is the research design,which introduces the research ideas as a whole,including the research purpose,content,object,method and research framework;The fourth chapter makes a comparative analysis of the arrangement of plane vectors in the textbooks of a version of human education and Beijing Normal University,and makes a comparison from the aspects of chapter division,content selection and expression of knowledge points.The comparison results show that the two versions of textbooks are similar in layout of plane vector content,and only differ in details;The fifth chapter is the investigation and research.Through the investigation of teachers' opinions and suggestions on the arrangement of plane vectors in the textbooks currently used,we can understand the actual use of the current textbooks;The sixth chapter focuses on the analysis of the arrangement order of triangular and plane vector content in textbooks by using ISM method,and explores the correct arrangement order of plane vector by extracting the core elements,determining the formation relationship,finding the reachable matrix and finding the hierarchical digraph;The seventh chapter is the conclusion,which summarizes the conclusions of the study,puts forward the Enlightenment on the basis of the above research,and reflects on the shortcomings of the study,and finally puts forward the research prospects.Paying attention to the arrangement of plane vectors in textbooks can not only promote the teaching of vectors,but also sort out the relationship between plane vectors and triangles,deepen the understanding of the instrumental role of plane vectors,so as to grasp the "sharp tool" of handling problems flexibly.