Research On The Teaching Design Of High School Function Based On GeoGebra

In middle school mathematics teaching,the rational use of modern information technology has played an auxiliary role in the optimization of teachers' teaching,so the effective integration of mathematical knowledge and information technology has become a necessary part of mathematics teaching research.Function as an important part of high school mathematics knowledge,make up a large proportion of the college entrance examination,but the function has the characteristics of the abstraction of knowledge,students understand the difficulties,the study enthusiasm is not high,the introduction of GeoGebra dynamic mathematical knowledge teaching software of dynamic display,display form of mathematical knowledge,rich in the teaching process can actually number shape union,more conducive to students' understanding and using of the abstract knowledge of mathematics.In this paper,starting from the characteristics and functions of GeoGebra software,this paper will discuss the application of GeoGebra in teaching practice and the achievements obtained at the present stage.Based on the reality of function teaching,this paper will explore and analyze the problems existing in the teaching process of teachers,and use GeoGebra software as a tool to select the function part for teaching design and analysis.Firstly,the paper expounds the background of the research problem,determines the general content of the research,explains the teaching significance of the combination of GeoGebra and function teaching from the perspective of theory and practice,and determines the basic ideas and methods of the problem research.Firstly,the paper expounds the background of the research problem,determines the general content of the research,explains the teaching significance of the combination of GeoGebra and function teaching from the perspective of theory and practice,and determines the basic ideas and methods of the problem research.Secondly,the thesis makes a theoretical construction of the research on the function instructional design of GeoGebra's high school.The application of GeoGebra software is introduced,and the research status of GeoGebra software is summarized.This paper analyzes the teaching requirements of function in the new curriculum standard,investigates the current situation of function teaching in high school,and explains the prominent advantages of applying GeoGebra to function teaching by combining with the characteristics of function.By combining GeoGebra with functions,the basic principles of GeoGebra in instructional design are explored,and GeoGebra is tried to be applied to the process of concept acquisition and property exploration.On the basis of APOS theory,scaffolding teaching theory and mathematical multiple representation theory,the theoretical basis of problem research is obtained.Finally,in view of the use of GeoGebra in functional teaching,a student questionnaire is designed from five aspects: learning interest,learning efficiency,learning results,student operation and attitude towards GeoGebra,and the survey results are sorted out and analyzed.In the design interview outline,teachers using GeoGebra software were interviewed to find out the advantages and problems of software application,and conclusions were drawn.On the basis of the survey results,this research was reflected and summarized,and Suggestions were put forward for teaching design in combination with GeoGebra in the function part.