Research On Analytic Geometry Teaching In Senior High School Based On GeoGebra

The era of educational informatization diversifies our teaching modes,and the deep integration of information technology and education is the basic feature of educational informatization.GeoGebra software is an open-source,free,powerful,dynamic mathematics software suitable for teaching and learning.The software is introduced into the teaching of analytic geometry in high schools,which can concretize,visualize and visualize abstract mathematical knowledge.Based on GeoGebra’s high school analytic geometry teaching,from the previous "full house" to inquiry-based teaching,it can better clarify knowledge points,clarify the ins and outs of knowledge,infiltrate the idea of combining mathematics with numbers and shapes,and let students learn to think and learn.,learn to draw inferences from one case and solve problems better,so as to further reveal the essence of mathematics and trace the origin of teaching,which has important reference value for promoting teachers’ professional development and building efficient high school mathematics classrooms in the future.Considering the importance of analytic geometry in high school mathematics teaching and the difficulty of students learning analytic geometry,it is very necessary to conduct research on analytic geometry teaching in high school based on GeoGebra.This paper adopts the method of literature analysis,lesson analysis,questionnaire survey and interview method to study the high school analytic geometry teaching based on GeoGebra.Firstly,on the basis of analyzing a large number of literatures,the relevant concepts of this paper are defined,and a literature review is carried out on the cultivation of analytic geometry literacy,teaching status,teaching strategies and mathematics teaching based on GeoGebra in high school,and the feasibility of the research is clarified.Secondly,under the support of Gagne’s instructional design theory,Freidenthal’s "re-creation" theory,mathematical multi-representation theory and scaffolding theory,combined with the characteristics and functions of GeoGebra software,a high school analytic geometry based on GeoGebra is summarized.Six principles and two major strategies of instructional design: scientific principle,dynamic principle,inquiry principle,penetrating mathematics combined with ideological principle,subjectivity principle,auxiliary principle;revealing the essence of mathematics with GeoGebra,and promoting teachers’ professional development with GeoGebra.Combined with the teaching design principles and strategies proposed above,with the help of GeoGebra software,the teaching design,lesson analysis and teaching practice were carried out on "the inclination angle and slope of a straight line","the positional relationship between a straight line and a circle" and "ellipse and its standard equation".,after the teaching,a questionnaire survey is carried out on the students,and a detailed investigation and analysis of the effect of GeoGebra-based high school analytic geometry teaching are carried out.The research shows that the high school analytic geometry teaching based on GeoGebra can well achieve the purpose of revealing the essence of mathematics and tracing the origin of teaching,and can promote the development of teachers’ professional ability,which is conducive to stimulating students’ interest in learning,improving students’ learning effect,and cultivating students’ ability.The ability to combine numbers and shapes,improve students’ intuitive imagination and logical reasoning and other core mathematical literacy.