Development of a Course Sequence in Fractal Geometry for Interdisciplinary Undergraduate Education and Increased Mathematics and Science Literacy

为跨学科本科教育和提高数学和科学素养开发分形几何课程序列

• 批准号: 9455636
• 负责人: Benoit Mandelbrot
• 金额: $ 21.86万
• 依托单位: Yale University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1995
• 资助国家: 美国
• 起止时间: 1995-01-15 至 1998-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9455636&HistoricalAwards=false
• 关键词: Development; Course; Sequence; Fractal; Geometry

9455636 Mandelbrot This project is building on the inherent interest in fractal geometry by creating materials for a series of 3 fractal-based undergraduate mathematics courses: an introductory pre-calculs course emphasizing concepts, visualization, and interdisciplinary connections, particularly to art, music, philosophy and economics; a post-calculus course presenting the same material at a deeper mathematical level; and an upper level course on the applications of fractals and chaos including a detailed examination of data analysis and modeling. All courses will make extensive use of computers in lecture demonstrations, student homework, and communication and dissemination of course materials. Platform independent graphics software will be developed to facilitate this program. Detailed instructor lesson plans will be developed and tested.

小行星9455636 这个项目是建立在分形几何的内在兴趣，通过创建一系列的3分形为基础的本科数学课程的材料：一个介绍性的预演算课程强调概念，可视化，和跨学科的联系，特别是艺术，音乐，哲学和经济学;后演算课程提出相同的材料在更深的数学水平;以及关于分形和混沌应用的高级课程，包括对数据分析和建模的详细检查。 所有的课程都将在课堂演示、学生家庭作业以及课程材料的交流和传播中广泛使用计算机。 将开发独立于平台的图形软件，以促进这一计划。将制定并测试详细的教师课程计划。