Research On Geometric Concept Teaching Design Based On Van Hiele Theory In Dynamic Geometric Environment

Mathematical concept is the logical starting point of mathematics,the basis of student'cognition,and the core of mathematical thinking.Besides,it develops an important role in mathematics learning and teaching.Geometric concept teaching is a major part of mathematical concept teaching,and geometric concept is an important part of geometric basic knowledge.It is premise to understand other basic knowledge.Therefore,geometric concept learning of the students is particularly important.Domestic and foreign scholars generally believe that the theory can be used to guide the concept of geometric concept of teaching,and to enhance the level of students' geometric thinking.In recent years,with the development of information technology and curriculum integration of the boom,the Geometer's sketchpad have attracted most attention of the teachers by its unique advantages.By reviewing the relevant literature,the author found that the researchers have carried out many studies on the related roles of the theory of Van Hiele in the process of geometric teaching.However,it is rare to integrate the theory of Van Hiele and the multimedia teaching software in the geometric concept teaching.This paper firstly analyzes the five thinking levels of Van Hiele theory and deduces the five teaching stages corresponding to it.At the same time,the paper summarizes the characteristics and the use environment of the Geometer's sketchpad,and finds the convergence of the two.It completes the integration of the geometric concept teaching process,and designs the geometric concept teaching flow chart based on the two items.After that,this paper designs the teaching case of geometric concept under the Geometer's sketchpad environment under the guidance of Van Hiele theory.Taking Oval and ball for example,the author has developed the design of the cone curve and the geometric concept of three-dimensional geometry teaching.Finally,the author conducts experimental research on the design of elliptical concept,and explores the influence on students' geometric learning in dynamic geometric environment.In the Geometer's sketchpad environment,the teaching design based on the Van Hiele theory can not only give full play to the advantages of information technology software,but also can break the students' cognitive blind spot of geometric concept,and promote the students to learn geometric concepts efficiently.The experimental results show that the geometric conceptual teaching process under the guidance of the Van Hiele theory can fully show the students,subjective position and can effectively improve the students' learning effect on the geometric concept in the Geometer' s sketchpad environment.The results of the study fully validate the feasibility of the teaching program and lay the foundation for the follow-up geometric teaching research.Although the results of this study verify the feasibility of the teaching program,but there are still some shortcomings;part of the results of this study lays the foundation for the future geometric teaching research.