Teaching Research On The Infiltration Of Geometry Transformation In Junior Middle School Mathematics Teaching

Geometric transformation is an important modern mathematical thought met hod,By infiltrating geometric transformation into the teaching of plane geomet ry in junior middle school and viewing geometry from the point of view of m otion,students can find out the intrinsic connection between graphics and prom ote the growth of students' thinking.In the first semester of the seventh grade,the textbook of the last edition introduced translation,rotation and folding mo vement,and seldom involved the teaching content of solving geometric proble ms by using geometric transformation.However,in recent years,geometric tran sformation has been appearing in the mid-term exams in the compressors,inclu ding at least two big problems related to geometric transformation.Geometric t ransformation has undoubtedly changed from the simple and easy operation at t he beginning to the difficult point for everyone in the entrance examination.T he ability of students to solve problems by using geometric transformation thou ghts needs to be improved.In this paper,the related literature research,found mainly in geometry tran sform,the value of the teachers' understanding of geometric transformation,stu dents' understanding of geometric transformation difficulty,the geometric transfo rm teaching several aspects,such as research.These studies have some referen ces for the infiltration teaching of geometric transformation thought,but there i s no research suitable for the arrangement of textbooks in Shanghai.Therefore,this paper will study and dig the transformation ideas implicit in the geometri c content of the teaching materials in the above edition,and gradually infiltrate the idea of geometric transformation through teaching,so as to improve stude nts' ability.Through the design and combination of geometric teaching contents in Sha nghai textbooks,teaching practice research was carried out on the scheme of g radual penetration of geometric transformation ideas in the seventh and eighth grades.Based on practical problems,dynamic demonstration of geometric drawi ng board and variable drawing respectively,the idea of infiltration geometric tr ansformation is introduced.After two years of teaching practice research,case analysis,analysis of the translation,folding and rotation transformation thought penetration process,and the thought method in the congruent triangles,quadrila teral and add auxiliary line such as teaching in the penetration process.Through the analysis of students' works,this paper obtains the result of th e infiltration of geometric transformation thought:1?The idea of geometric transformation permeates students' understanding of the basic symmetry of graphics;2?The idea of geometric transformation permeates the students' ability of geometric intuition;3?The idea of geometric transformation permeates the ability of students t o solve multiple problems;4?The infiltration of geometric transformation thought improves students' a bility of solving variant exercise?Finally,some teaching Suggestions on the infiltration of geometric transfor mation are given:1?Dynamic demonstration analysis and transformation properties,constantl y improve students' thinking level;2?Use geometric transformation to observe graphics,constantly improve st udents geometric intuitive ability;3?Use geometric transformation to observe graphics,constantly improve st udents' ability to analyze problems;4?By using the idea of geometric transformation,students can improve th eir ability to solve multiple problems;5?The geometric transformation drawing and the exercise question change form exercise,enhances the student to solve the problem ability unceasingly.