Teaching Mathematical Thinking through Space Exploration

通过空间探索教授数学思维

• 批准号: 9550493
• 负责人: Wallace Feurzeig
• 金额: --
• 依托单位: Bolt Beranek and Newman Inc
• 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: 1995-07-15 至 1999-03-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9550493&HistoricalAwards=false
• 关键词: Teaching; Mathematical; Thinking; through; Space

* 9550493 Feurzeig The goal of this three-year project is to develop four curriculum units to replace or supplement current classroom materials on key topics in algebra, geometry, calculus, and topology. These units will introduce some of the most fundamental and central ideals of modern mathematical thinking to a broad population of high-school students and teachers through a series of highly graphic and interactive computer-assisted explorations, experiments and games. The first three units can be used separately within the standard algebra, geometry or calculus courses. Taken as a whole, they prepare the way for a series of exploratory journeys in the world of one-, two-, and three-dimensional space forms, which comprise the specific subject matter of the last unit. As another alternative, units can be joined to provide a one-semester course, either in place of pre-calculus or as an optional fourth-year college preparatory course. The four units will support from 10 to 18 weeks of instruction. The first year of the project will focus on development and informal trials of the activities and supporting software; the second year on continued materials development, staff development, classroom implementation, pilot trials, and formative evaluation; the third year on teacher development, field testing, evaluation, and dissemination. Local high schools will participate in the pilot trials and field tests. The research, development, and teaching will be carried out by an interdisciplinary team of mathematicians and mathematics education consultants with expertise in curriculum development and evaluation. The project team will work closely with the developers of ARISE, the NSF Comprehensive high-school curriculum project underway by the Consortium for Mathematics and its Applications (COMAP), to publish project materials in the widely distributed series, High-school Mathematics and its Applications (HiMAP.) ***

* 9550493 Feurzeig 这个为期三年的项目的目标是开发四个课程单元，以取代或补充当前关于代数、几何、微积分和拓扑等关键主题的课堂材料。这些单元将通过一系列高度图形化和交互式的计算机辅助探索、实验和游戏，向广大高中生和教师介绍现代数学思维的一些最基本和最核心的理念。前三个单元可以在标准代数、几何或微积分课程中单独使用。整体而言，它们为在一维、二维和三维空间形式的世界中进行一系列探索之旅做好了准备，这些旅程构成了最后一个单元的具体主题。作为另一种选择，可以将各个单元联合起来提供一个学期的课程，可以代替微积分预科课程，也可以作为可选的四年级大学预科课程。这四个单元将支持 10 至 18 周的教学。该项目的第一年将侧重于活动和支持软件的开发和非正式试验；第二年继续材料开发、人员发展、课堂实施、试点试验和形成性评估；第三年关于教师发展、现场测试、评估和传播。当地高中将参与试点和现场测试。研究、开发和教学将由具有课程开发和评估专业知识的数学家和数学教育顾问组成的跨学科团队进行。该项目团队将与 ARISE 的开发者密切合作，ARISE 是数学及其应用联盟 (COMAP) 正在进行的 NSF 综合高中课程项目，以发布广泛发行的高中数学及其应用 (HiMAP) 系列项目材料。***