A Practical Study On The Ability Of Students To Dynamically Solve Geometric Problems Based On Geometric Sketchpads

The technical revolution of information technology on 21st century, economic globalization, information network, social practice is the 3 big features of the 21st century, economic competition between countries, is the competition of education.This article is the author of the new curriculum standard, after studying at home and abroad about the geometric sketchpad application in geometry teaching literature, as well as the experience and their own education practice in junior middle school geometry teaching research and practice, on the basis of the geometric sketchpad present situation carries on the deep step to solve the problem of geometric dynamic research. In this paper, we adopt the method of combining theory and practice, the main geometry for junior middle school mathematics teaching, through questionnaire investigation and case analysis, found that students in solving geometric dynamic exist some difficulties, and puts forward with the tools of geometry drawing board to the strategy to solve the problem, the results of the study is mainly for students to solve the problem of dynamic geometry, provide relevant strategy so as to improve the geometry of middle school students interest in learning.This paper is divided into six chapters:the first chapter is including research background, related research status at home and abroad, the research purpose and the significance and the research question and methods; The second chapter is the definition and theoretical basis; The third chapter is a junior high school students present situation investigation, to solve the problem of dynamic geometry contains survey purposes, survey, questionnaire design, survey results and the present situation of junior middle school students to solve the problem of dynamic geometry; The fourth chapter put forward by geometric sketchpad strategy to solve the problem of dynamic geometry; Fifth chapter geometric sketchpad application in the dynamic problem of junior high school geometry teaching practice; Sixth part empirical verify the geometry sketchpad can arouse the students' interest in solving the problem of geometric, triggering students' creative thinking, through the geometric sketchpad dynamic teaching enables students to solve the problem of geometric more deeply understand the following points:(1)Using geometric sketchpad to simulate the whole motion process, the whole movement process is divided into ditterent stages, that is the problem geometric dynamic problem was transformed into static problem.(2)No matter how complex the movement process, what problem, you must first find out invariant, then find out some long segment by movement and change, finally linked with the whole geometry.(3)If the movement in the rectangular coordinate system, pay attention to the coordinates of the point of the movement changes into the process of line segment of long, again linked with geometry.(4)If combined with known expression images, whether must properly use the fixed point on the known problem set for a given image, the coordinates of the fixed point is appropriate for graphic analytic expression, etc.(5)If the movement process can be segmented research, looking for reasonable segmentation points is the key to the problem solving, correct to draw graphics, each using piecewise strategy to solve the problem of dynamic static graphics.(6)The geometry problems of Junior high school commonly used equivalent relation, the more line segments are similar, acute triangle function, add and subtract, parallel and equal, central symmetry, axial symmetry, the Pythagorean theorem and other knowledge.