Let high school math teaching plug in the wings-The practice and research of the Geometer's Sketchpad in high school mathematics teaching

摘要

The Geometer's Sketchpad is by people's education press and the national primary and secondary education research center jointly in 1966 from the introduction of American KeyCutriculumPress Company Tools Platform of excellent teaching courseware making tools, is an important tool for high school mathematics and physics teaching. This paper focuses on the application of the Geometer's Sketchpad in mathematics teaching process: flexible use of "Geometer's Sketchpad", can let the difficulties in traditional teaching is easy to understand; the use of "Geometer's Sketchpad", reveal the internal relations of knowledge; with "Geometer's Sketchpad" courseware to provide more opportunities for students to participate in learning, improve students ability of observation, analysis of the problem. The Geometer's Sketchpad is the English name, the Chinese name is "Geometer's Sketchpad - the dynamic geometry of the century", is a platform for teaching software courseware, mainly used in the production of physics and mathematics courseware. In 1966, the people's education press and the National Center for primary and secondary education. With the Geometer's Sketchpad, in the course of mathematics and physics teaching activities, the dynamic performance of the geometric relationship between objects, it becomes very easy, intuitive. Because it can dynamically show the relationship between geometric objects, the Geometric Sketchpad is very popular in the process of geometry (plane geometry, analytic geometry, projective geometry, etc.). Not only that, in the teaching of mathematics in the geometry of the probability problem, the limit problem, the trajectory of the physics teaching activities, such as free fall, etc.. The Geometer's Sketchpad to the point line and circle as the basic elements, through the transformation of basic elements, structure, measurement, calculation, animation, trajectory tracking, construct a more complex geometry, of course, its biggest advantage lies in its "dynamic", as long as the light with the mouse drag the selected random graphs one of the basic elements, such as a point, a line, a sinusoidal image and so on, it is said to show the geometric relationship immediately clear display in front of you. With its help, we can draw a variety of geometric shapes, including the analytic geometry of the ellipse, hyperbola, parabola and other two curves. Of course, if a function expression is given, it can quickly make an image of the function. In addition to these features, it can also be used for all of the graphics you draw the translation, rotation and other forms of the transformation". The Geometer's Sketchpad provided the measure function, such as the "measurement" and "calculation", can help us to measure any object made, including a line length, the area of a rectangle, a cube, and the radian of an arc, an angle and so on. The biggest feature of the Geometer's Sketchpad is its dynamic nature, can make a lot of abstract graphics. In this dynamic process, students can imagine, to sum up, you do not have to say anything, they can immediately see the geometric relationship between them and the inherent law.