Linearity I & II: Connected Learning of Differential Equations, Linear Algebra and Multi-variable Calculus

线性度一

• 批准号: 9752650
• 负责人: Kelly Black
• 金额: $ 17.5万
• 依托单位: University of New Hampshire
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1998
• 资助国家: 美国
• 起止时间: 1998-02-01 至 2003-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9752650&HistoricalAwards=false
• 关键词: Linearity; & II; Connected; Learning

A year-long integrated course of study organized around the fundamental concept of linearity and the process of linearization is being developed at the University of New Hampshire (UNH). The goals of this sequence are: 1) to unify the learning of the core ideas and techniques normally studied in a separate fashion in ordinary differential equations, linear algebra, and multivariable calculus, by captitalizing on the rich interconnections among the three subject areas, and 2) to maximize student opportunities to engage in contextual learning of these key concepts. To achieve these goals, mathematical sciences faculty are collaborating with colleagues from mechanical engineering, electrical engineering, and physics, to develop "bench-lab experiments" for use in the classroom. These experiments are drawn from the application areas studied in many of the courses in which students are concurrently enrolled, and enable the restructuring of the normally static learning environment into a dynamic one employing a "studio" or laboratory approach. Teaching and learning materials based on the set of "bench-lab" experiments are being developed for commercial publication. Pilot testing will begin with a group of mechanical engineering, electrical and computer engineering, and applied mathematical sciences students. Full implementation of this approach is expected to impact all students in the UNH College of Engineering and Physical Sciences.

新罕布什尔州大学（UNH）正在开发一个围绕线性基本概念和线性化过程组织的为期一年的综合学习课程。这个序列的目标是：1）通过利用三个学科领域之间丰富的相互联系，统一学习常微分方程，线性代数和多变量微积分中通常以单独方式学习的核心思想和技术，以及2）最大限度地提高学生参与这些关键概念的上下文学习的机会。为了实现这些目标，数学科学教师正在与机械工程，电气工程和物理学的同事合作，开发用于课堂的“实验室实验”。这些实验是从学生同时就读的许多课程中研究的应用领域中提取的，并且能够将通常静态的学习环境重组为采用"工作室"或实验室方法的动态环境。目前正在编写以一套"实验室"实验为基础的教学材料，以供商业出版。试点测试将开始与一组机械工程，电气和计算机工程，应用数学科学的学生。这一方法的全面实施预计将影响UNH工程和物理科学学院的所有学生。