Study On Solution Of Geometric Problems In Junior High School For Developing Mathematical Thinking

With the deep development of the new curriculum reform,people gradually realize that in the process of mathematics teaching,the mathematical method can not be ignored.In the key concepts of the 2022 edition of compulsory education mathematics curriculum standard,it points out that the content of the curriculum includes not only the results of mathematics,but also the producing process of mathematical results and the mathematical methods implied.As the main basis of teachers’ teaching,the curriculum standard results in the direction of teachers’ teaching.Hence,in the teaching process,teachers should not only pay attention to teaching mathematical knowledge,but also to the infiltration of mathematical thoughts and methods.Particularly,we need to train students to observe and to solve problems with the view of mathematical eyes such that the students can develop in an all-round way.Compulsory Education Mathematics Curriculum Standards(2022 Edition)divides junior high school mathematics into four modules: "numbers and algebra","graphics and geometry","statistics and probability" and "induction and practice",where the module "graphics and geometry" is very important,which is an important tool for students in junior high school to develop their logical thinking and deductive reasoning ability.Therefore,this thesis mainly explores the cultivation of mathematical thought methods in teaching geometry in junior middle school,and poses some relevant training strategies.This thesis contains seven chapters.The first chapter is the introduction,which introduces the research background,research significance and purpose,as well as the research ideas and content.The second chapter is an overview of the mathematical methods,solution of geometric problem in junior middle school,related studies on solution of geometric problems in junior middle school.The third chapter explains the related concepts in this thesis.The fourth chapter,based on the relevant knowledge of plane geometry,classifies the problems related to geometry according to the common types of questions,summarizes the relevant conclusions and analyzes the examples,and summarizes the mathematical thoughts and methods contained in them.The fifth chapter is to pose some training strategies for junior middle school geometry problem solving related mathematical thoughts and methods.Chapter six analyzes and interprets the proposed strategies through specific teaching plans.The seventh chapter is summary and reflection.