An Analysis And Appliance Of Geometry Textbook In Junior High School Based On The Theory Of Van Hiele

Geometry curriculum reform is an important part of the mathematics curriculum reform,and have always been the focus of the mathematics curriculum reform.As one of the most influential theories which in the study of students' geometry concepts and learning,Van Hieles theory has an important applications,The theory has two core content:One is five levels of geometric thinking levels;the other is five stages of teaching that corresponds to the five levels of geometric thinking levels.The theory points out that teachers' teaching affects the development of students' geometry thinking level.Therefore,the Van Hieles theory,combined with the new curriculum standards,allowed me to engage in reaserch.The main questions in this thesis are:First,reference to the new curriculum standard,the writer will make the degree of agreement analysis about the Hunan edition textbook;Second,combined with the Van Hiele geometry thinking level theory and the category of other scholars compiled analysis table,I compiled a textbook category analysis table,on the Hunan Education Edition Geometry Textbook of Grade seven,eight and nine;Third,by setting up the specific teaching cases based on Van Hiele's five stage teaching method,this paper gives some suggestions on how to use the theory of Van Hiele to carry out the junior high school geometry teaching.Through the analysis and research,we find the following conclusions:First,in the Hunan edition teaching materials and new curriculum for the geometric matching analysis,I found that Hunan Education Edition geometry teaching materials are based on the requirements of the new curriculum standard,Each book contains "graphics and geometry";and Data analysis shows that the two the basic requirements of them are same on knowledge difficulty,in other words,The arrangement of Hunan Education Edition Geometry Textbook basically meet the requirements of the new standard.Second,based on Van Hiele theory of Hunan edition textbook analysis,I found the following conclusions: First,there are some differences from the requirements ofthe thinking training level in Grade seven,eight and nine.The textbook of Grade seven focuses on the development of the student's analysis and informal thinking.accounting for about 80% of the overall proportion,and the textbook of Grade eight will focus on the training of the student's analysis informal and formal thinking,and the proportion of each region is basically the same,each accounting for 30%,On the contrary,because of the requirements of the teaching objectives,The textbook of Grade nine focuses on the analysis of the training,accounted for 59%,However the deductive thinking training is relatively fewer.Third,Combined with the research results,the author thinks that Teachers should pay more attention to students' geometry thinking development when using teaching material,,The specific process includes: First,based on the textbook,design teaching is given priority to with the core concepts and ideas;Secondly,study of textbooks,teaching to cultivate students geometric thinking;Finally,summarize the textbooks,give priority to with the development of students' thinking teaching evaluation.