Chaos and Fractal Teaching

混沌与分形教学

• 批准号: 9255724
• 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: Continuing grant
• 财政年份: 1993
• 资助国家: 美国
• 起止时间: 1993-03-01 至 1998-02-28
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9255724&HistoricalAwards=false
• 关键词: Chaos; Fractal; Teaching

The purpose of this project is to develop teaching materials that will allow high school teachers to introduce various concepts from dynamical systems theory and fractal geometry into the high school curriculum. The project will include the development of approximately fifteen modules, each dealing with a single topic from fractal geometry or dynamical systems. Some modules will be able to be used independently; some will be developed to be used in a sequence of successive class sessions. Each module will contain background materials, preliminary student worksheets, a short video, and suggested followup activities. Specific materials to be developed include videotapes, software, Hypercard stacks, worksheets, and teacher guides. The aim is to help teachers show students the vitality of modern mathematics with material that complements and enhances the standard high school curriculum. Also planned is a two-week Summer Institute to train teachers to bring these ideas from modern mathematics into their classrooms.

该项目的目的是编写教材， 将允许高中教师介绍各种概念， 动力系统理论和分形几何进入高中 课程。 该项目将包括开发 大约15个模块，每个模块涉及一个主题 分形几何学或动力学系统。 一些模块将 能够独立使用;有些将被开发用于 一系列连续的课程。 每个模块将包含背景材料，初步学生 一个简短的视频，并建议后续活动。 将开发的具体材料包括录像带、软件， Hypercard堆栈、工作表和教师指南。 目的是 帮助教师向学生展示现代数学的生命力， 补充和提高标准高中的材料 课程。 还计划举办为期两周的暑期研究所，培训教师， 将现代数学的思想带入课堂。