Collaborative Proposal: Maplets for Calculus

数学科学（21）这个项目正在创建一套maplets - Java applet，可以完全访问Maple计算机代数系统-用于微积分课程。每个maplet通过图形用户界面呈现算法生成的问题，并利用Maple的符号计算引擎分析检查学生的回答并生成适当的反馈。该项目的智力价值在于，与现有的大量使用多项选择题的在线作业系统相比，这种方法在教学上有所改进。微积分的Maplets超越了这一点，它能够在解决方案的中间步骤中进行检查并提供反馈。用户还可以输入特定的问题，实时生成二维和三维图形和动画。学生成绩的记录也可以获得，学生也可以从市场中访问其他基于网络的教学内容。该项目更广泛的影响体现在基于计算机的教学工具的全天候可用性，以及为学生提供掌握一个主题所需的尽可能多的实践的能力。该工具的网络特性也使其能够在广泛和/或远程位置使用。此外，每个学生的摘要用法信息使教师能够更好地识别问题话题并相应地处理这些问题。

Mathematical Sciences (21) This project is creating a suite of maplets - Java applets with full access to the Maple computer algebra system - for use in calculus courses. Each maplet presents algorithmically generated problems via a graphical user interface and utilizes Maple's symbolic computation engine to analytically check student responses and to generate appropriate feedback. The intellectual merit of the project lies in the pedagogical improvement this approach offers over existing online homework systems that have had to rely on extensive use of multiple-choice questions. Maplets for Calculus goes beyond this by being able to check and provide feedback at intermediate steps along the way towards a solution. Users may also input specific problems and generate 2-D and 3-D graphics and animations in real-time. A record of student performance is also available and students may also access other web-based instructional content from within the maplet. The project's broader impacts are found in the 24/7 availability of the computer-based teaching tools and the capability of offering as much practice to students as is needed to master a topic. The web-based nature of the tool also enables its use from widespread and/or remote locations. In addition, the summary usage information for each student enables teachers to better identify problematic topics and to deal with these accordingly.