The Practice And Research Of Solid Geometry Teaching Based On Geogebra In High School

Since the new round of curriculum reform started in 2017,information technology has become an important term,and how to realize the deep integration of information technology and mathematics curriculum has become an important topic.Stereoscopic geometry is a mathematical subject that studies the size,shape and position of objects in three-dimensional space.Because of its high abstraction and high spatial imagination ability,it has always been a heavy and difficult point in teaching.A number of excellent mathematical software,such as Geometry Sketchboard and Geogebra,provide useful tools to break through the difficult points in solid geometry.Geogebra software also relies on the 3D function,which can make some abstract geometric figures visually visible through intuitive demonstration.Therefore,the research on the integration of GeoGebra and solid geometry teaching plays an important role in improving the teaching effect of solid geometry.This study mainly discusses the practice and research of solid geometry teaching based on Geogebra senior high school through the following steps.Firstly,the background and value of this research are analyzed,and the research problems,methods and ideas are clarified.The 3D drawing area of Geogebra and its comparison with geometric drawing board are introduced.By means of literature research,the research progress of solid geometry teaching in China and the research on Geogebra assisted mathematics teaching at home and abroad are summarized.On this basis,the research direction of this paper is determined.Further,this study is based on the multiple representation theory,the theory of the zone of proximal development,APOS theory and Van Hill geometry thinking level is introduced,and analysis of these theories to the mathematics teaching enlightenment.Secondly,the interview method is used to investigate the status quo of teachers'teaching,and the questionnaire method is used to study the difficulties in students three-dimensional geometry learning and the current level of three-dimensional geometry thinking,which is a clear direction for the design of the following teaching cases.According to the investigation,the difficulties in the study of students are mainly reflected in the lack of ideas when solving problems,the abstract concept of solid geometry and the lack of spatial imagination ability.Most of the grade two students have the level of three-dimensional geometry thinking between level 1 and 2.Then,analysis the status of solid geometry in senior high school mathematics,and put forward the solid geometry teaching strategy based on GeoGebra:ease and simplicity,moderation and the combination of integration,the combination of dynamic and static mapping interpretation combining,combining experiment induction and deductive reasoning,combined with the front design education theory of the three typical teaching cases.Finally,the effectiveness of Geogebra's application in solid geometry teaching was verified by conducting teaching experiments and analyzing post-test data,and the conclusions and suggestions of this study were finally obtained.