Study Of Mathematical Software In The Teaching Of Analytic Geometry

Analytic geometry is the basic course of math major in Normal University;it is not only an extension of the school curriculum accordingly,but also the follow-up study of the basic curriculum. However,nowadays the teaching and learning methods of analytic geometry is outdated and backward.Teaching space in a large number of abstract graphics determines a great number of defects in traditional teaching.As a research instrument of modernization,mathematical software has powerful numerical computing and graphics capabilities,so when math is used to solve practical problems,basic math has important applications in teaching and research.This paper,based on the combination of theory and practice,does a preliminary study on the application of mathematical software in analytic geometry.This paper is divided into five parts as follows:The first part is the general study.Based on the analysis of the current situation of math software used in analytic geometry teaching,this part discuss the content,methods,significance and theoretical basis of this article,and give an evaluation and analysis of this research at and out of home historically and currently.The second part analyses mathematical software.First it reviewes the development of mathematical software;Secondly,it discusses the capacities and classification of mathematical software;Finally,it sums up a few mathematical softwares which can be used to teach analytic geometry,i.e.,Geometer's Sketchpad,Maple,Mathematica and MATLAB;in the end,it compares these softwares.The third part,the main part of this article,discusses the Experiment of mathematical software in analytic geometry Teaching.First of all,it introduces the design of the experiment,including subjects,experimental methods and teaching methods.Secondly,it discusses the use of two experimental models of teaching:teaching assistant model-teachers demonstration model in classrooms,student model- self-inquiry-based teaching model,from the meaning and application of the math model in detail.In this discussion,it provides examples of the application of mathematical softwares in teachers' demonstration in classrooms model from the concept of math teaching,math teaching proposition,problem-solving teaching math to classify three examples;while mathematical software in their own inquiry-based teaching model is separately displayed in the case of experimental design.In experimental design,as for analytic geometry teaching,teachers' presentation mode in the classroom-based is the core,self-inquiry-based teaching model as a supplement with the guidance of this two models,analytic geometry teaching is divided into math theory course and math experiment course.At the aid of mathematical software,these two complement each other:Mathematical Theory course focuses on cultivation of mathematical methods and thought,and strengthening the theory of math teaching,teaching students the basic concepts,theorems,rules;and the math experiment focuses on strengthening students' capacity of using math,math software,math practice and operational capabilities,the ability to work independently,using General math knowledge to solve practical problems.Part four carries out testing and analysis of the experiments from experiment report,final exam score and questionnaire results.The last part draws a conclusion of this study.This part gives a summary of the contents of this paper;supports two modes of the application of mathematical software in analytic geometry teaching;also points out the inadequacies of the study and follow-up study required attention.The study finds that if the software can be used in teaching of analytic geometry,it can optimize the structure of classroom teaching and increase the amount of information teaching, improve teaching efficiency,with time-sensitive;and highlight the teaching points,solve the difficulty of teaching,strengthen visual teaching,help students improve maths ability and understand the application of knowledge and grasp the idea with mathematical analysis,use modern means of mathematical tools(mathematical software) to explore the basic problem-solving aspect.Students, on the one hand,obtain math education activity;on the other hand,learn how to guide other people to learn maths with these two models;such vocational skills can guide students to work in middle schools in the future;In addition,these skills can penetrate education,help students develop a positive emotional math;also provide a specific inspiration to professional courses and guide the follow-up experiment math elective courses,which would lay a good foundation for the further study.It should bc noted that if software is used in teaching of analytic geometry,wc must pay attention to the opportunity of software applications.Although the use of mathematical software to develop the students thinking in terms of images to make up for the traditional teaching which lacks emphasis on the logic ability,but too much use of mathematical software would make all the questions abstract and figurative,and injure students' abstract thinking,which weaken the further study of analytic geometry.Therefore,it should discuss "the degree of image" in the further study.