Transforming Linear Algebra Education with GeoGebra Applets

使用 GeoGebra Applet 改变线性代数教育

• 批准号: 1141045
• 负责人: James Factor
• 金额: $ 16.42万
• 依托单位: Alverno College
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2012
• 资助国家: 美国
• 起止时间: 2012-09-01 至 2018-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1141045&HistoricalAwards=false
• 关键词: Transforming; Linear; Algebra; Education; GeoGebra

This project is developing twelve interactive applets that use 2-D and 3-D animation to help students visualize concepts in linear algebra (e.g. vectors, vector spaces, linear transformations, eigenvalues, eigenvectors, determinants, and orthogonality). The project is using GeoGebra, a free, easy to access and use software package that is compatible with multiple platforms including mobile phones and computer tablets, and has wide use nationally. Accompanying each applet are directions for use and an instructional module with examples and learning exercises usable both in formal classes and independently by students and teachers. Each module also includes an example STEM-application to provide context for the use of the corresponding applet. The intellectual merit of this project is grounded in research that indicates helping students visualize mathematical processes promotes better understanding of the concepts involved. Moreover, by focusing on linear algebra with its extensive applications in chemistry, physics, engineering and similar fields, the project is filling a gap within the larger collection of educational applets that promote learning of mathematical concepts. The perspectives of a set of beta testers and reviewers are informing the development work, and a well-considered experimental design is being used to assess the applets' impact on student learning. With respect to broader impacts, the project is using an aggressive dissemination plan featuring conference workshops and mini-courses, a dedicated web server for exploring and downloading the applets, plus the GeoGebraWiki to facilitate interactions among developers and users. The flexibility of the GeoGebra software and its adaptability for use on multiple platforms including mobile devices also contribute to the project's potential for broad impact and support from a growing community of GeoGebra developers.

这个项目正在开发12个交互式小程序，使用2-D和3-D动画来帮助学生可视化线性代数中的概念（例如向量，向量空间，线性变换，特征值，特征向量，行列式和正交性）。该项目正在使用GeoGebra，这是一个免费、易于访问和使用的软件包，与包括移动的手机和平板电脑在内的多种平台兼容，在全国范围内广泛使用。每个小程序都附有使用说明和一个教学模块，其中包含在正式课程中以及学生和教师独立使用的示例和学习练习。 每个模块还包括一个示例STEM应用程序，以提供使用相应小程序的上下文。这个项目的智力价值是基于研究表明，帮助学生形象化的数学过程，促进更好地理解所涉及的概念。此外，通过专注于线性代数及其在化学，物理，工程和类似领域的广泛应用，该项目正在填补更大的教育小程序集合中的空白，促进数学概念的学习。一组beta测试人员和评审人员的观点为开发工作提供了信息，一个经过深思熟虑的实验设计被用来评估小程序对学生学习的影响。关于更广泛的影响，该项目正在采用一个积极的传播计划，包括会议讲习班和小型课程，一个专门的网络服务器，用于探索和下载小程序，加上GeoGebraWiki，以促进开发人员和用户之间的互动。GeoGebra软件的灵活性及其在包括移动的设备在内的多个平台上使用的适应性也有助于该项目产生广泛影响的潜力，并得到越来越多的GeoGebra开发人员社区的支持。