Contemporary Mathematics and the Internet

当代数学和互联网

• 批准号: 9818666
• 负责人: Robert Devaney
• 金额: --
• 依托单位: Trustees of Boston University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1999
• 资助国家: 美国
• 起止时间: 1999-09-15 至 2002-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9818666&HistoricalAwards=false
• 关键词: Contemporary; Mathematics; Internet

9818666DEVANEYThis project at Boston University is developing six interactive modules for high school mathematics classrooms that deal with aspects of the geometry and algebra of chaos and fractals. Each module is a completely interactive Java applet and is available free on a Boston University web server. The evaluation includes a study of effective ways teachers use these materials in mathematics classes. The Linear Web applet allows students to enter a particular linear function and then view the associated graphical iteration and time series. The Nonlinear Web applet allows students to view the results of graphical iteration of nonlinear functions. Target Practice helps students comprehend the notion of graphical iteration in a "game" setting. The Orbit Diagram applet brings together the concepts from the previous modules by painting various orbit diagrams. The Mandelbrot and Julia Set applet assists with visualization of complex iteration. A sixth applet, The Mandelbrot and Julia Set Explorer, is a completely interactive primer dealing with the mathematics of these Mandelbrot and Julia sets.

9818666DEVANE波士顿大学的这个项目正在为高中数学课堂开发六个交互式模块，处理混沌和分形的几何和代数方面。每个模块都是一个完全交互式的Java applet，可以在波士顿大学的Web服务器上免费获得。评估包括教师在数学课上使用这些材料的有效方法的研究。线性网络小程序允许学生输入特定的线性函数，然后查看相关的图形迭代和时间序列。非线性网络小程序允许学生查看非线性函数的图形迭代结果。目标练习帮助学生理解在“游戏”设置中图形迭代的概念。轨道图小程序通过绘制各种轨道图将前面模块中的概念结合在一起。Mandelbrot和Julia Set小程序有助于复杂迭代的可视化。第六个applet，Mandelbrot和Julia集浏览器，是一个完全交互式的入门，处理这些Mandelbrot和Julia集的数学。