An International Collaboration to Develop the Mathematical Visualization Tool 3D-Filmstrip into a Resource for Supplementing Mathematics Courses and Curricula

国际合作将数学可视化工具 3D-Filmstrip 开发为补充数学课程和课程的资源

• 批准号: 0514781
• 负责人: Richard Palais
• 金额: --
• 依托单位: University of California-Irvine
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2004
• 资助国家: 美国
• 起止时间: 2004-09-01 至 2008-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0514781&HistoricalAwards=false
• 关键词: International; Collaboration; Develop; Mathematical; Visualization

Mathematical Sciences (21). This project is developing an expanded set of features and functionality of a mathematical visualization program, 3D-Filmstrip. Project tasks include writing appropriate documentation, not only for the software itself but more importantly for the mathematical objects it is used to visualize; improving the scriptability of the program, both to enhance its ability to communicate with other running programs (e.g., web-servers, database programs, etc.) and also to facilitate the automation of its use as a curriculum supplement; producing additional format interchange software, so that objects created using 3D-Filmstrip can be further processed and viewed in other programs (e.g., Mathematica, Maple, VRML) and vice versa; and improving the cross-platform features of the program, in particular making more of its features available over the Web. Several pilot integrations of the program into the mathematical sciences curriculum are taking place at various educational levels. This work is also informing the writing of two sets of undergraduate level "Lecture Notes" tightly coupled to 3D-Filmstrip, one on the theory of curves and surfaces, and the second on lattice models.

数学科学（21）.该项目正在开发一个数学可视化程序3D-Filmstrip的扩展功能。项目任务包括编写适当的文档，不仅针对软件本身，更重要的是针对它用来可视化的数学对象;提高程序的可脚本性，以增强其与其他运行程序的通信能力（例如，网络服务器、数据库程序等）并且还促进其作为课程补充的使用的自动化;产生附加的格式交换软件，使得使用3D-Filmstrip创建的对象可以在其他程序中被进一步处理和观看（例如，Mathematica、Maple、VRML），反之亦然;并改进程序的跨平台功能，特别是使其更多功能可通过网络使用。该方案纳入数学科学课程的几个试点正在各级教育中进行。这项工作也通知写作两套本科水平的“讲义”紧密耦合到3D电影，一个理论的曲线和曲面，第二个晶格模型。