Research On Solid Geometry Teaching Based On Van Hill's Geometric Thinking Level

The solid geometry occupies an important position in the new curriculum reform and the high school mathematics curriculum,and the solid geometry has many practical significance and application value.Stereoscopic geometry has the characteristics of high abstraction and complexity.The level of abstract logical thinking of high school students is not high.At the same time,the selection and arrangement of the content of the teaching materials and the choice of teaching means in the course of teaching have a certain influence on the students' study of three-dimensional geometry.For a variety of reasons,when students have a certain degree of difficulty in learning the three dimensions,the students are weak in learning.The theory of geometric recognition is the van Hiele model of thinking in grometry,which has a certain research and application at home and abroad.However,there are few studies on the application of the van Hiele model of thinking in grometry in China.In this paper,the study of three-dimensional geometry teaching is carried out based on the theoretical basis of the van Hiele model of thinking in grometry.The author who teaches A version required two stereo geometry textbooks as part of the research object,the Dongping Minghu High School,4 classes of students for the test object geometry thinking level.This article is divided into five chapters.The first chapter and the second chapter mainly discuss the problem and the theoretical basis and literature review.The third chapter is the analysis of the teaching materials based on Van Hiele's geometric thinking level.Taking Van Hiele's geometric thinking level as the theoretical basis,this paper analyzes the teaching materials of the compulsory two solid geometry preliminary part of the edition from three dimensions: compiling basis,content organization structure and content presentation mode.Through the analysis and study,it is concluded that the stereoscopic geometry of the A version of human education is in accordance with Van Hiele's geometric thinking level.However,there is little combination of the teaching in the solid geometry andthe modern information technology.Through the analysis of the teaching materials,there is a clear understanding of the solid geometry part,which is beneficial to the author's teaching design.The fourth chapter is based on the teaching design of Van Hiele's teaching stage.With the help of practice opportunities in Dongping Minghu middle school,the author takes a class of students as an experimental class,and carries out the preliminary teaching of three-dimensional geometry based on Van Hielel's teaching stage.And in the fourth chapter of this article,two typical examples of teaching design are given.The fifth chapter is the test of student Van Hielel's geometric thinking level.After the preliminary teaching of stereoscopic geometry,Van Hiele's geometric thinking level was tested on four classes of two class levels.After the test,the students' geometric thinking level was obtained.From four aspects of all subjects,different levels,different classes and sex on the same level,the students' geometric thinking level is analyzed.Through the analysis,it is concluded that Van Hiele's five teaching stages have a certain effect on the improvement of students' geometric thinking level,but there is no significant difference in gender.