Research On The Teaching Practice Of Sequence In Senior High School From The Perspective Of Thinking Visualization

In the new curriculum standard,cultivating students to think about the world with mathematical thinking is one of the core qualities of mathematics.Under the background of promoting the development of students’ thinking,thinking visualization’s research came into being.The knowledge of sequence is located at the intersection of mathematical knowledge and thinking method,which is helpful to cultivate students’ mathematical thinking ability.Therefore,under the normal teaching mode of Internet plus education,we should promote the research process of senior high school series teaching from the perspective of thinking visualization.This study mainly adopts the methods of literature study,questionnaire survey,case analysis and interview survey.The main contents of the study are: to explore the current situation of teachers and students’ cognition of thinking visualization,the current situation of teachers and students’ application of thinking visualization tools,the problems existing in senior high school series teaching from the perspective of thinking visualization,and the effective application of thinking visualization’s research in senior high school series teaching.This study consists of six chapters: In the first chapter,on the basis of sorting out relevant literature,the background and significance of the study are systematically expounded,the research status at home and abroad is summarized,and the content,methods and innovations of the study are determined.The second chapter defines the concepts of thinking visualization,thinking visualization’s teaching and thinking visualization’s graphic tools,based on constructivism learning theory,Yu Ping’s CPFS structure theory and Polya’s mathematical problem-solving theory,and introduces the application principles of graphic tools.In the third chapter,in order to understand the current situation of sequence teaching in the visual field of thinking,students and teachers were investigated by questionnaire in the practice school,and the survey data were analyzed in detail by SPSS software.The fourth chapter,based on the survey results,puts forward the preparation strategy of series teaching,and formulates the teaching strategy of "conceptual visualization","problem-solving visualization" and "comprehensive visualization".The fifth chapter,according to the proposed strategy,selects three classes: new teaching,exercise class and review class,and applies concept map,fishbone map and mind map to analyze the case of high school series teaching from the perspective of thinking visualization.Through interviews with students and teachers,it is found that thinking visualization diagram is helpful for students to integrate fragmented knowledge points into a systematic knowledge network,improve the efficiency of students’ preview,problem solving and review,and can be effectively integrated into high school series teaching and teachers and students have a high willingness to apply it later.The sixth chapter summarizes the full text,puts forward suggestions to optimize the teaching strategy of series from the perspective of thinking visualization,reflects on the shortcomings of the research and looks forward to it,and tries to explore a set of thinking visualization teaching mode that conforms to the characteristics of series teaching in senior high schools.