A Modular Interactive Text for Linear Algebra

线性代数的模块化交互式文本

• 批准号: 9455618
• 负责人: Eugene Herman
• 金额: $ 19.99万
• 依托单位: Grinnell College
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1995
• 资助国家: 美国
• 起止时间: 1995-01-01 至 1998-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9455618&HistoricalAwards=false
• 关键词: Modular; Interactive; Text; Linear; Algebra

9455618 Herman Mathematics educators from three quite different institutions of higher learning -Grinnell College, The University of Washington, and Seattle Central Community College -- are jointly developing an interactive linear algebra text. This text is being organized in clusters of individual modules to facilitate its adaptation to many different curricula. The main goals of the project are: 1) to help students develop their geometric intuition about the concepts of linear algebra; 2) to deepen their understanding of the algebraic formulations of these concepts and strengthen their ability to manipulate them; and 3) to help students gain an appreciation of how the concepts and methods of linear algebra are applied. The text is being constructed using Maple V, enhanced by a supplementary package with superior text-handing and screen-layout capabilities. The text is being designed to support collaborative learning and writing to learn. Many exercises encourage experimentation and exploration and many will ask for written hypotheses and conclusions. The entire text will be made available through the Mathematics Archives and hence will be readily available to all by ftp, gopher, and MOSAIC. In addition to being appropriate for all students majoring in scientific, engineering, and mathematics, the textual materials are particularly appropriate for use with students preparing for careers as secondary mathematics teachers and are being tested with preservice teachers at all three institutions.

9455618赫尔曼数学教育工作者从三个相当不同的高等院校-格林内尔学院，华盛顿大学，和西雅图中央社区学院-正在共同开发一个互动的线性代数文本。这一文本正在按单个模块的组群组织，以便于适应许多不同的课程。该项目的主要目标是：1）帮助学生发展他们对线性代数概念的几何直觉; 2）加深他们对这些概念的代数公式的理解，并加强他们操作它们的能力;以及3）帮助学生了解如何应用线性代数的概念和方法。文本正在使用Maple V构建，并通过具有上级文本处理和屏幕布局功能的补充软件包进行增强。该文本的目的是支持协作学习和写作学习。许多练习鼓励实验和探索，许多练习会要求书面假设和结论。整个文本将通过数学档案馆提供，因此将随时提供给所有的ftp，地鼠，和马赛克。除了适合所有主修科学、工程和数学的学生外，这些教材特别适合准备担任中学数学教师的学生使用，目前正在所有三所学校的兼职教师中进行测试。