Linking Visualizations Online to Discover and Unify Mathematics

在线链接可视化以发现和统一数学

• 批准号: 0231459
• 负责人: Robert Palais
• 金额: $ 7.5万
• 依托单位: University of Utah
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2003
• 资助国家: 美国
• 起止时间: 2003-02-01 至 2006-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0231459&HistoricalAwards=false
• 关键词: Linking; Visualizations; Online; Discover; Unify

This project is developing and evaluating prototypes of interactive, dynamic, and visually oriented webpages linked by common themes. Current technologies facilitate animation and exploration of interconnected networks of information, and in this manner new concepts are made more accessible when associated with more elementary and familiar ones. Unifying mathematical principles can lead students to formulate their own mathematical questions, discover results, and organize and understand their knowledge. The presentations include motivation from modern applications as well as animations of classical examples. Modules are expected to become part of the National Science Digital Library and available as an online resource for both teachers and students, to review fundamentals, to preview more advanced manifestations and applications, and to emphasize discovery using animated and linked explanations and "proofs without (and with!) words."

该项目正在开发和评估由共同主题链接的交互式，动态和视觉上的网页的原型。当前的技术促进了动画和互连信息网络的探索，并以这种方式使新概念更容易与更多的基本和熟悉的概念相关联。统一数学原理可以使学生提出自己的数学问题，发现结果并组织和理解他们的知识。演讲包括现代应用程序的动机以及古典示例的动画。 预计模块有望成为国家科学数字图书馆的一部分，并作为教师和学生的在线资源可用，以审查基本原理，预览更高级的表现和应用程序，并强调使用动画和链接的解释和“没有（以及使用！）单词的动画和链接的证明”。