Research On Teaching Design Of Plane Vector Based On Mind Map

Mind mapping is a kind of divergent thinking expressed by graphs.With the help of mind mapping,scattered and fragmented knowledge in students' minds can be organically integrated to help students establish a good knowledge structure.Plane vector is a bridge between algebra and geometry,and plays an important role in high school mathematics curriculum.However,the current situation of plane vector teaching in senior high schools is not completely satisfactory,lacking the overall teaching design of the content of plane vector chapters and the deep excavation of the essence of the content of chapters.Therefore,the study of plane vector instructional design based on mind map is of great significance to teaching.This study takes "plane vector teaching design based on mind map" as the starting point,and investigates the current situation of high school plane vector teaching,pointing out the problems: the background of the concept is not enough,the connotation extension is not deep;the theorem The source of the search is not enough,the motive of creation is unclear;the meaning of knowledge is not enough,the application value is insufficient;the source of the problem is not enough,and the solution is not inspired.In order to solve the problems existing in the current plane vector teaching in senior high school,combining with the guiding function of mind map,this paper puts forward the principle of plane vector teaching design based on mind map: holistic principle and thinking principle,explores the plane vector teaching design mode based on mind map,and further gives the important knowledge of the chapter of plane vector on the basis of this teaching design mode.Identifying teaching design cases.The teaching design of plane vector based on mind map will be implemented in the classroom,and then its teaching effect will be verified.The results show that:(1)mind map-based teaching promotes students' understanding of concepts;(2)strengthens students' ability to use theorems;(3)improves students' problem-solving ability;(4)stimulates students' thinking ability;(5)cultivates students' innovative thinking ability.