Teaching Discrete Mathematics via Original Historical Sources

通过原始历史资料教授离散数学

• 批准号: 0231113
• 负责人: Jerry Lodder
• 金额: $ 7.44万
• 依托单位: New Mexico State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2003
• 资助国家: 美国
• 起止时间: 2003-06-01 至 2006-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0231113&HistoricalAwards=false
• 关键词: Teaching; Discrete; Mathematics; via; Original

A team of mathematicians and computer scientists is developing curricular materials, based on original historical sources, for beginning to advanced undergraduate courses in discrete mathematics, courses which today draw a significant number of computer science majors. The historical modules offer excerpts from original source material, together with a sequence of student exercises designed to illuminate the groundbreaking ideas introduced in the source. Pilot testing is also underway at a diverse set of institutions, including the University of the District of Columbia, Northern Kentucky University, Indiana University of Pennsylvania, the University of Southern Colorado, and the United States Military Academy. Other institutions are being added as the project progresses. In addition, the project provides graduate students at New Mexico State University an opportunity to perform apprentice teaching, which also generates additional feedback on the materials. Particular advantages of the historical approach include providing context and direction for the subject matter, honing students' verbal and deductive skills through reading original works, and the rediscovery of conceptual roots common to both discrete mathematics and computer science.

一组数学家和计算机科学家正在开发课程材料，根据原始的历史资料，开始到高级本科课程离散数学，课程今天吸引了大量的计算机科学专业。 历史模块提供原始源材料的摘录，以及一系列旨在阐明源中介绍的开创性思想的学生练习。试点测试也在不同的机构进行，包括哥伦比亚特区大学、北方肯塔基州大学、印第安纳州宾夕法尼亚大学、南科罗拉多大学和美国军事学院。随着项目的进展，正在增加其他机构。此外，该项目还为新墨西哥州州立大学的研究生提供了一个执行学徒教学的机会，这也产生了对材料的额外反馈。 历史方法的特殊优势包括为主题提供背景和方向，通过阅读原著磨练学生的口头和演绎技能，以及重新发现离散数学和计算机科学共同的概念根源。