Full Development of Visualization Tools for 3D

3D可视化工具全面开发

• 批准号: 0442365
• 负责人: Daniel McGee
• 金额: --
• 依托单位: University of Puerto Rico Mayaguez
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2005
• 资助国家: 美国
• 起止时间: 2005-07-01 至 2010-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0442365&HistoricalAwards=false
• 关键词: Full; Development; Visualization; Tools; 3D

Mathematical Sciences (21). This project is developing a "kit" of plastic manipulatives to make three-dimensional reference frames that support construction, study, and experimentation with three-dimensional mathematical objects. Components would include plastic rods to represent vectors, marbles to represent points, and pipe cleaners to represent curves. The investigators see these physical tools as enhancing students' ability to visualize concepts relating to points, surfaces, planes, curves, contours, and vectors in three dimensions. For example, when introducing students multivariable functions, manipulation of these physical objects can prove more effective than a projection of three dimensions onto a two dimensional screen. The project is also building on the use of prototypes of these manipulatives in a precalculus course for engineers that introduced functions of two variables in precalculus. An Advisory Board of faculty from a diverse set of institutions including a state-supported research institution, a private four-year college, a community college, and a secondary school is helping the PI and colleagues to perfect the design of these tools and to produce drafts for accompanying manuals to help instructors of multivariable calculus and algebra use the kit.

数学科学（21）。该项目正在开发一套塑料操纵器“套件”，用于制作三维参考框架，支持三维数学对象的构建、研究和实验。组件包括代表矢量的塑料棒、代表点的弹珠以及代表曲线的管道清洁器。研究人员认为这些物理工具可以增强学生在三维空间中可视化与点、曲面、平面、曲线、轮廓和向量相关的概念的能力。例如，当向学生介绍多变量函数时，操纵这些物理对象可能比将三维投影到二维屏幕上更有效。该项目还建立在工程师初级微积分课程中使用这些操作原型的基础上，该课程介绍了初级微积分中两个变量的函数。来自不同机构（包括国家支持的研究机构、私立四年制学院、社区学院和中学）的顾问委员会正在帮助 PI 及其同事完善这些工具的设计，并制作随附手册的草稿，以帮助多变量微积分和代数教师使用该工具包。