Mathematics and Undergraduate Education: A New Framework for Mutual Invigoration

数学与本科教育：相互促进的新框架

• 批准号: 9456040
• 负责人: Daniel Maki
• 金额: $ 5万
• 依托单位: Indiana University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1994
• 资助国家: 美国
• 起止时间: 1994-10-01 至 1996-09-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9456040&HistoricalAwards=false
• 关键词: Mathematics; Undergraduate; Education; New; Framework

9456040 Maki This proposal seeks funding for a planning proposal to implement a restructuring of undergraduate mathematics education. The planning involves curriculum restructuring, creation of a general academic infrastructure for undergraduates, and creation of a new institutional infrastructure. The curriculum restructuring will engage mathematicians and their colleagues from other disciplines in the development of three types of new interdisciplinary courses, all aimed at underscoring the way mathematics is used in other academic disciplines and in the non- academic world: (1.) Courses based on real problems in a different area where mathematics is used in the solution. Students will work in teams using technology to implement mathematical tools developed in class for the projects. (2.) Courses designed to give a mathematics major a basic understanding of a subject which is a current or potential area of application for mathematics. (3 .) Courses developed in collaboration with the professional schools to introduce mathematics majors to the possibility of using their education in one of these areas. General academic infrastructure for students. The second component of the implementation of the general philosophy involves the manner in which the students relate to their academic programs. Institutional Infrastructure. The implementation of our general philosophy of undergraduate mathematics instruction requires a degree of collaboration and coordination across departments and disciplines that far exceeds what is commonly found on any campus. As the means of accomplishing this, we propose that the preparation and the design of classes and activities will take place in an Institute for Undergraduate Education.

9456040 Maki本提案旨在为实施本科数学教育重组的规划提案提供资金。规划涉及课程结构调整，为本科生建立一般学术基础设施，并建立新的机构基础设施。课程改革将使数学家和其他学科的同事参与开发三种新的跨学科课程，所有这些课程都旨在强调数学在其他学科和非学术世界中的应用方式：基于不同领域的真实的问题的课程，其中数学用于解决问题。学生将在团队中使用技术来实现在课堂上为项目开发的数学工具。（2.）课程旨在让数学专业的一个主题，这是一个当前或潜在的数学应用领域的基本理解。（3 .）与专业学校合作开发的课程，介绍数学专业的学生在这些领域之一使用他们的教育的可能性。学生的一般学术基础设施。实施一般哲学的第二个组成部分涉及学生与其学术课程相关的方式。 体制基础设施。我们的本科数学教学的一般理念的实施需要跨部门和学科的协作和协调，远远超过了什么是常见的任何校园的程度。作为实现这一目标的手段，我们建议在本科教育学院准备和设计课程和活动。