The Mathematics of Decision Making: A Model for Collaboration Between Mathematics and Other Fields

决策数学：数学与其他领域合作的模型

• 批准号: 9972350
• 负责人: William McCallum
• 金额: $ 49.58万
• 依托单位: University of Arizona
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1999
• 资助国家: 美国
• 起止时间: 1999-07-01 至 2004-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9972350&HistoricalAwards=false
• 关键词: Mathematics; Decision; Making; Model; Collaboration

Each year, hundreds of thousands of prospective students in business and public administration (BPA) degree programs take required mathematics courses because they need to learn to use mathematics effectively in making decisions. However, this need is often not addressed by the traditionally required courses. The main goal of this project is to produce materials that convince students that mathematics and modern computer technology are valuable tools in solving realistic problems and to teach them to utilize these tools effectively. We plan to develop, site-test, and nationally disseminate an archive of substantial, technology-based case studies (a realistic scenario which can be used to introduce the mathematical content) in the mathematics of decision-making. These will take between a few days and a few weeks to teach, and can be used instead of or in addition to a text. Each case study will be developed by teams consisting of faculty from mathematics and BPA, to be chosen from around the county. The co-PIs Thompson and Lamoureux, in a partnership between the University's Department of Mathematics and the College of Business and Public Administration, have produced case studies on whether to foreclose a commercial loan or work out an arrangement with the creditor, and on how to price a stock option. Hughes Hallett, in collaboration with E. Connally of Wellesley College and faculty at Harvard University's Kennedy School of Government, has produced case studies on the Austrian state pension system, population projection using US census data and data from the CIA World-book, and water flow in the Charles River using data from the US Geological Survey.

每年，数十万工商与公共管理(BPA)学位课程的潜在学生都会学习必修的数学课程，因为他们需要学习在决策过程中有效地使用数学。然而，传统的必修课程往往没有解决这一需求。这个项目的主要目标是编写教材，让学生相信数学和现代计算机技术是解决现实问题的宝贵工具，并教他们有效地使用这些工具。我们计划开发、现场测试并在全国范围内传播决策数学中大量的、基于技术的案例研究(可用于介绍数学内容的现实场景)的档案。这将需要几天到几周的时间来教授，可以用来代替课文或作为课文的补充。每个案例研究将由来自数学和BPA的教师组成的团队开发，从全县范围内挑选。该校数学系与商业与公共管理学院合作，共同开发了关于是否取消商业贷款抵押品赎回权，或与债权人达成协议，以及如何为股票期权定价的案例研究。Hughes Hallett与韦尔斯利学院的E.Connally和哈佛大学肯尼迪政府学院的教员合作，编制了关于奥地利国家养老金制度的案例研究，使用美国人口普查数据和中央情报局世界手册的数据进行人口预测，以及使用美国地质调查局的数据研究查尔斯河的水流。