Interactive Simulation Software to Enhance ODE Instuction

用于增强 ODE 教学的交互式仿真软件

• 批准号: 9361287
• 负责人: Philippe Marchal
• 金额: $ 6.5万
• 依托单位: IntelliPro Inc
• 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: 1994-02-15 至 1994-10-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9361287&HistoricalAwards=false
• 关键词: Interactive; Simulation; Software; Enhance; ODE

Proposal Number: 9361287 PI Last Name: Marchal The innovative use of computers offers an opportunity to dramatically improve the learning and teaching of ordinary differential equations (ODEs). The challenge is to identify an instructional tool that addresses a serious and prevalent problem common to ODE instruction--students' lack of a conceptual framework necessary to analyze and build mathematical models, and to solve complex problems. In response, IntelliPro proposes to investigate the feasibility of combining mathematical simulation, graphic animation, and hypermedia to create an engaging multimedia learning environment to significantly enhance students' understanding and working knowledge of ODEs. The researchers envision powerful, easy to use, and pedagogically meaningful interactive simulation, a computer "laboratory" that will allow students to examine the properties of linear and nonlinear systems, explore and construct realistic mathematical models, and apply intuitive understanding of the behavior of solutions of ODEs to hypothetical and practical situations. To determine technical feasibility, IntelliPro will (a) identify an instructional strategy and essential content material, (b) design a software structure and implement a proof-of-concept model, and (c)evaluate the software design, mathematics education, and product development, will conduct the research. ***y

提案编号：9361287 PI姓氏：Marchal 计算机的创新使用为显着改善常微分方程（ODE）的学习和教学提供了机会。 我们面临的挑战是确定一个教学工具，解决一个严重的和普遍的问题，共同ODE教学-学生缺乏必要的概念框架，分析和建立数学模型，并解决复杂的问题。 作为回应，IntelliPro建议调查结合数学模拟，图形动画和超媒体的可行性，以创建一个引人入胜的多媒体学习环境，显着提高学生的理解和ODE的工作知识。 研究人员设想了功能强大，易于使用，具有教学意义的交互式仿真，一个计算机“实验室”，将允许学生检查线性和非线性系统的属性，探索和构建现实的数学模型，并将对ODE解决方案的行为的直观理解应用于假设和实际情况。 为了确定技术可行性，IntelliPro将（a）确定教学策略和基本内容材料，（B）设计软件结构并实施概念验证模型，以及（c）评估软件设计，数学教育和产品开发，将进行研究。 *y