Interactive Internet-Based Teaching and Learning in Mathematics

该项目将基于互联网的数学互动教学过程，特别是微分几何、多变量微积分和线性代数，传播给大量不同的机构。该项目正在通过一系列夏季项目和国家会议上的活动广泛地利用这一方法的好处。此外，该项目还确保该方法在数学专业、理科生、文科数学和教师培训课程中具有更强的适应性和可扩展性。该方法的互动方面包括三个要素：1)教师和学生通过课堂演示和学生探索与几何现象互动；2)学生在线完成作业和考试，并及时收到老师的意见；3)学生可以在网上直接参与讨论或小组作业时阅读同学和老师的回答。教程可以让没有复杂计算机背景的学生轻松上传扫描图纸，并在他们的通信中包含图像和链接。交互式插图是可能的与几何学的素描板的使用。正在与MAA的夏季数学测试以及在1月份的联合数学会议上举行的其他会议一起举办讲习班，以传播这种方法。该方法的有效性评估由专业人员进行，并包括广泛的内容分析组成部分。

This project is disseminating the process of interactive Internet-Based Teaching and Learning in Mathematics, specifically differential geometry, multivariable calculus, and linear algebra, to a large number of diverse institutions. The project is making the benefits of this approach broadly available through a series of summer projects and activities at national meetings. Further, the project is ensuring that the approach is more adaptable and scalable for use in courses for mathematics majors, for science students, for liberal arts mathematics, and for teacher training programs. The interactive aspect of the approach encompasses three elements: 1) teachers and students interact with geometric phenomena both for classroom presentations and students exploration; 2) students do their homework and exams online and receive timely comments from instructors; and 3) students are able to read the responses of their classmates and instructors as they engage directly in discussion or group work over the web. Tutorials are available to make it easy for students without a sophisticated computer background to upload scanned drawings and to include images and links in their communications. Interactive illustrations are possible with the use of the Geometer's Sketchpad. Workshops to disseminate the approach are being conducted in conjunction with the summer MathFests of the MAA with additional meetings at the January Joint Mathematical Meetings. Assessment of the effectiveness of the approach is being conducted by a professional and encompasses an extensive content analysis component.