Research On Teaching Design Of Plane Geometry Mathematical Modeling Based On Geometric Sketchpad Software

With the deepening of mathematics teaching reform under the new curriculum,the emergence of rich information technology teaching means and various mathematical software,it provides the students with more autonomous learning mathematics,mathematics and the opportunity to explore mathematics independently.It is clear from our country "full day compulsory education mathematics curriculum standard(experimental draft)" in 2001.Since the establishment of mathematical modeling,new teaching methods such as mathematical modeling teaching,mathematical experiment teaching and mathematical software teaching have been emerging.In the face of the more abstract plane geometry knowledge of junior high school,how to combine the basic knowledge learning of junior high school geometry students with the mathematics modeling teaching in junior middle school through the dynamic effect of mathematical software?The organic combination of mathematical software and modeling teaching can enable students to use their knowledge flexibly to solve practical problems,and to enhance their interest in learning mathematics.Based on this purpose,this paper mainly studies the mathematical software tool based on the geometric sketchboard software,and studies the theoretical design and application of the mathematical modeling teaching for the plane geometry part of the junior middle school mathematics under the new curriculum standard.Based on the literature and interview,based on the theory of creative psychology,constructivist learning,humanistic learning and problem solving,the necessity and feasibility of the teaching of mathematical modeling in the plane geometry in junior high school are theoretically demonstrated,and the mathematics to be followed in the mathematical modeling teaching in the junior middle school is expounded.In combination with the characteristics of the teaching of mathematical modeling and the general steps of mathematical modeling,the general steps of the teaching design of the geometric sketchpad software and the principles to be followed in the design of the mathematical modeling are given.At the same time,the study of the relevant literature and the content of the plane geometry in the teaching materials at the beginning of the teaching are studied.We have established the classes of teaching model of geometric modeling in junior high school: the basic class model of point and line,basic graphics class(triangle,quadrangle,circle)model,graphic nature class(translation,rotation,flip)model and two curve model.In addition to the theoretical research and discussion,in order to verify the validity and feasibility of the design theory of planar geometric mathematical modeling based on geometric sketchboard software,this paper has carried out the teaching practice of the teaching design theory of plane geometric mathematical modeling based on the geometric sketchboard software.In view of the present situation of the mathematics plane geometry modeling teaching in 6 junior middle schools in Lhasa area of Tibet,the questionnaire was compiled to investigate the teaching practice of teachers and students,and the validity and feasibility of the plane geometric mathematical modeling teaching design theory based on the geometric sketchpad software was preliminarily verified.