1. Visualization: The Geometer's Sketchpad is a powerful tool to explore the mysteries of mathematics, and various magical figures can be made with this sketchpad. For example, making dynamic sine waves, various function curves and data charts. If conventional tools (such as paper, pens, compasses and rulers) are used to draw pictures in teaching, the drawn figures are static and easy to cover up some important geometric laws. With the Geometry Sketchpad, you can draw geometry with geometric constraints. In addition, the geometric sketchpad can dynamically maintain the geometric relationship in the movement of graphics, and can be used to find the invariant geometric laws in changing graphics. For example, after drawing a triangle with the tool of drawing dots and lines, draw its three bisectors, midline and midline. You can drag the vertices and sides of a triangle at will with the mouse to get triangles of various shapes. This dynamic demonstration can also be used to verify that "no matter how a triangle changes, its three median lines always intersect at one point".
2. Dynamic: Using the motion button of the Geometer's Sketchpad to skillfully combine the functions of "animation" and "movement", the produced points, lines, surfaces and bodies can be animated or moved at different speeds and directions on their respective paths, which can produce a good and powerful dynamic effect, and the values such as the measured angle or the length of the line segment can also change with the points, lines and surfaces.
3. Integration: With the development of information technology, some softwares have appeared, such as Powerpoint, F 1ash, Authorware, VisualBasic, and Geometry Sketchpad, which have greatly promoted mathematics teaching and provided an effective platform for the integration of information technology and mathematics courses. However, as a courseware creator, it is always not enough to use a single production software to develop teaching software. In the making of mathematics courseware, we can integrate all kinds of software and call the geometric sketchpad with Flash, Authorware and Powerpoint.
Second, the advantages of geometric sketchpad in cultivating students' ability
Geometric sketchpad is different from other drawing software in many characteristics, which provides excellent external conditions for raising questions, exploring problems, analyzing problems and further solving problems in the teaching process, and provides an excellent tool for cultivating students' ability.
1. Cultivate students' thinking ability. Under the careful design of teachers, the proper use of the geometric sketchpad can help students think rather than replace it, and can promote the development of students' thinking. In the teaching of ellipse eccentricity angle, the angle with ellipse radius as the terminal edge is easily confused with ellipse eccentricity angle. If the geometric sketchpad is used, not only can students clearly distinguish the relationship between these two angles, but also the advantages of computer dynamic display seize the opportunity and help develop students' thinking ability.
2. Cultivate students' ability of exploration and observation. "Exploration is the lifeline of mathematics". Exploring, thinking and observing with the geometric sketchpad can give full play to students' imagination, and its display function can enhance students' perceptual knowledge through dynamic demonstration trajectory, and turn abstract things into concrete things.
3. Solve many trajectory problems with parameters and cultivate students' ability of classified discussion. With the help of the drawing board, many problems with parameters that need to be classified and discussed become simple, which makes students "excited" in the process of thinking, and students have a deeper understanding of the trajectory changes caused by parameter changes, and the idea of classified discussion is solved.
4. Cultivate students' ability to solve practical problems. The universality of application is another feature of mathematics, which is also emphasized in mathematics teaching. It is often difficult to mathematize practical problems in practical problems. Using sketchpad in auxiliary teaching can easily reveal its mathematical essence and help to improve students' mathematical application ability.