Collaborative Proposal: Maplets for Calculus

数学科学（21）这个项目正在创建一套maplet- Java小程序，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反应，并生成适当的反馈。该项目的智力价值在于这种方法提供了对现有在线作业系统的教学改进，这些系统不得不依赖于广泛使用多项选择题。Maplets for Calculus超越了这一点，它能够在通往解决方案的道路上沿着的中间步骤进行检查和提供反馈。用户还可以输入特定的问题，并实时生成2-D和3-D图形和动画。学生表现的记录也是可用的，学生也可以从maplet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全天候提供基于计算机的教学工具，以及能够为学生提供掌握一个主题所需的尽可能多的练习。该工具基于网络的性质也使其能够从广泛和/或偏远的地点使用。此外，每个学生的摘要使用信息使教师能够更好地识别有问题的主题，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.