Research On Junior Middle School Geometry Teaching Design Based On Three World Thoughts Of Mathematics

In the actual teaching of junior high school geometry,faced with a very common dilemma: "Students feel that geometry is difficult to learn,teachers feel that geometry is difficult to teach." How to break through this dilemma has become a problem that junior high school mathematics teachers have been thinking about and discussing.With the reform of the compulsory education curriculum,the study of junior high school geometry teaching has received more and more attention.The three worlds of mathematics contain three different ways of cognitive thinking: the concrete world of perception and manipulation,the conceptualized world of symbolic processes,and the formalized world of definition and proof.The construction of this theory is based on the cognitive characteristics of mathematics.It is a new achievement of Muir's research on cognitive development and has attracted the attention of mathematicians at home and abroad.Based on the theory of mathematics in three worlds,this paper re-examines the teaching of junior high school geometry.The junior high school geometry teaching design under the three worlds of mathematics focuses on the characteristics of students' cognitive development.According to the law of physical and mental development of students,students' existing knowledge and experience are considered.And the ability to organize teaching,in order to solve the dilemma in junior high school geometry teaching,thus optimizing the junior high school geometry teaching.Firstly,through the literature research on the three world theories of mathematics,this paper introduces the theoretical basis of the three worlds of mathematics.Secondly,based on the thoughts of the three worlds of mathematics,it analyzes the teaching content of junior high school geometry,the cognitive development law of students' learning geometry,Teaching concept,design principle,operation mode and geometric teaching process;again,according to the respective characteristics of the four geometric types of the junior high school geometry,proof course,application class and review class,the four types of mathematics are explained in mathematics.The teaching design principles and teaching links under the world thought,and the corresponding teaching design cases are given and implemented in the classroom.Finally,through the teaching experiment,the junior high school geometry teaching based on the three worlds of mathematics can be realized to a certain extent.Improve students' geometry and grades.It is hoped that through the research of this paper,the theory of the three worlds of mathematics can play a small role in communication,and at the same time,it can provide some new ideas and methods for the teaching of junior high school geometry,so as to gradually improve the effectiveness of junior high school geometry teaching.