Engineering and Science Modules in First Year Calculus Curriculum

第一年微积分课程中的工程和科学模块

• 批准号: 9652955
• 负责人: Kelly Black
• 金额: $ 2.89万
• 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: 1997
• 资助国家: 美国
• 起止时间: 1997-03-15 至 1999-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9652955&HistoricalAwards=false
• 关键词: Engineering; Science; Modules; First; Year

The calculus curriculum is being augmented with a series of self contained engineering and scientific modules into the laboratory sections of the first year calculus course. These modules are specifically designed to challenge students and require them to apply basic principles and develop mathematical descriptions of physical systems. These modules are unique in that they will be presented by engineering and scientific faculty with the purpose of demonstrating how calculus is a vital aspect of the curriculum. The advantage of the proposed approach is that it offers a method to present real applications and be able to accommodate large student to faculty ratios. The exercises associated with each module are designed so that students are required to employ spreadsheets on computers in the resulting analysis. This allows the use of real data (with noise), but it also requires a minimal amount of technological sophistication on the part of the students. The proposed method is specifically designed to accommodate large student to faculty ratios. While many programs have been designed to introduce applications and modeling to students, a vital component of any addition to the curriculum is the ability to be effectively implemented with a minimal amount of resources. Each module consists of an introduction into a basic physical system and concentrates on the application of a basic principle (for example, conservation of energy or momentum). By design, the modules offer an effective method to present open ended, applied problems and do so with a minimal amount of resources.

微积分课程在第一年微积分课程的实验室部分增加了一系列自成一体的工程和科学模块。这些单元是专门为挑战学生而设计的，要求他们应用基本原理并开发物理系统的数学描述。这些单元是独一无二的，因为它们将由工程和科学教师介绍，目的是展示微积分是课程的一个重要方面。建议的方法的优点是，它提供了一种呈现真实应用程序的方法，并且能够适应较大的学生与教师比例。与每个模块相关的练习都经过精心设计，要求学生在分析结果时使用计算机上的电子表格。这允许使用真实数据(带有噪声)，但它也要求学生部分具有最低程度的技术复杂性。拟议的方法是专门为适应较大的学生与教师比例而设计的。虽然许多课程都是为向学生介绍应用程序和建模而设计的，但课程的一个重要组成部分是能够用最少的资源有效实施。每个单元包括对基本物理系统的介绍，并集中于基本原理的应用(例如，能量守恒或动量守恒)。通过设计，这些模块提供了一种有效的方法来呈现开放式的应用问题，并且使用最少的资源来做到这一点。