Collaborative Research: Maplets for Calculus (M4C)

合作研究计划：微积分小程序是一个面向学生的电子学习指南集合，包含一百多个微积分预科，单变量和多变量微积分小程序。这些极具教学意义的小程序通过提出问题、引导学生完成解决过程、检查中间结果和及时提供提示来平衡理解和技术技能的发展。教师使用applet作为讲座演示，作为测验问题的来源，或在实验室设置中，学生可以相互讨论如何解决问题。用户可以访问无穷无尽的随机生成的问题，或者输入他们自己的问题。小程序通过许多2-D和3-D图形和动画增强理解能力。学生们在整个项目的开发过程中发挥了重要作用：许多applet的最初开发是由荣誉微积分学生完成的；项目的web界面是由一名高中生设计的；对移动设备的适应是由一群本科生完成的。一位中等教育专业的博士生正在和高中生一起学习微积分预科班和微积分课程中的微积分试卷。在最初的CCLI项目中，小程序的数量从70个增加到129个，在目前的TUES资助下，收集的小程序数量增加到200多个。用户评分已经被纳入到每个小程序中，一些大学正在开发和管理调查，以评估小程序的有效性。评级和调查的结果正在被用来提高小程序的有效性，小程序正在适应移动设备，将其纳入在线文本并将其翻译成其他语言。用于创建移动设备界面的通用软件工具和技术仍属于公共领域，而教学材料必须以个人或网站许可的形式在MYMathApps.com上购买。传播工作，包括出版、介绍、讲习班和销售，将确保可持续性。

The Collaborative Research Proposal: Maplets for Calculus is a student oriented electronic study guide collection of over one hundred applets for precalculus, single and multivariable calculus. These highly pedagogical applets balance the development of understanding and technical skills by posing questions, guiding the student through the solution process, checking intermediate results, and providing timely hints. Instructors use the applets as lecture demonstrations, as a source for quiz questions, or in a lab setting where students can talk to each other about solving them. Users access an endless supply of randomly generated questions or enter their own problems. The applets enhance comprehension through many 2-D and 3-D graphics and animations. Students have been instrumental throughout the development of this project: initial development of many applets was done by Honors calculus students; the web interface for the project was designed by a high school student; and the adaptation to mobile devices is done by a staff of undergraduates. A Ph.D. student in secondary education is studying the use of Maplets for Calculus with high school students in precalculus and calculus courses. During the initial CCLI project the number of applets grew from 70 to 129, and the collection is growing to over 200 under the current TUES funding. User ratings have been incorporated for each applet, and surveys are being developed and administered at several universities to assess the effectiveness of the applets. The results from ratings and surveys are being used to improve the effectiveness of the applets, and the applets are being adapted to mobile devices, incorporating them into on-line texts and translating them into other languages. General software tools and techniques for creating the interface for mobile devices will remain in the public domain, whereas the pedagogical materials must be purchased as individual or site licenses at MYMathApps.com. Dissemination efforts, including publications, presentations, workshops and sales, will ensure sustainability.