Visual Geometry: A Multi-Media Approach

该项目将开发视频，计算机和印刷材料， 加强中学的几何教学。 中央 媒体将是广播质量的录像带，其中包括 计算机生成的动画伴随着叙述和一些文字。 练习册将允许视频材料用于课堂教学， 指导或独立学习。 相关的计算机程序， 还将编制高质量的文件， 让学生以互动方式探索几何概念。 该项目的一个有用的副产品将是一个“几何草图垫”， 该计划将使几何学家能够使用廉价的 用微型计算机绘制二维和三维几何图形 并应用几何变换， 从不同的角度。 该项目将使用该程序 制作动画序列原型的工作人员。 这也将是利益 对其他数学家来说，这将是一个适当的教学工具， 供资优学生使用。

This project will develop video, computer, and print materials that will enhance the teaching of geometry in secondary schools. The central medium will be broadcast-quality videotapes, which will consist of computer generated animation accompanied by narration and some text. Workbooks will allow the video materials to be used either for classroom instruction or for independent study. Related computer programs, together with high quality documentation, will also be developed, allowing students to explore geometric concepts interactively. A useful byproduct of the project will be a "geometer's sketch pad", a program that will enable geometers working with inexpensive microcomputers to sketch geometric figures in two and three dimensions and to apply geometric transformations that will permit visualization from different perspectives. This program will be used by the project staff for prototyping animation sequences. It will also be of interest to other mathematicians and will be appropriate as an instructional tool for use with gifted students.