Maple Computing Across the Math and Science Curriculum

这个项目正在开发印刷和电子材料，以扩展和加强数学、科学和工程专业以及这些学科的中等教育专业的计算技能。尽管计算机代数系统(如Maple)已经存在近20年了，但将这些工具完全整合到数学、科学和工程课程中直到最近才开始广泛实施。我们的项目帮助和促进了密西西比州的这一实施。该项目的主要重点是两门新课程，这两门课程使用Maple作为学生学习概念和结构的实际编程语言。Maple提供了一个友好的交互环境，最有利于学习编程原理，并具有图形、数字和符号操作的组合功能。这些课程的设计不仅强调编程中固有的逻辑和算法，而且还使用并加强在微积分序列中学到的基本概念。为了最大限度地发挥这些课程的有效性和影响力，我们正在设立新的微积分计算实验室和暑期工作坊，课程材料正在开发中，同时创建了(1)四个新的微积分计算实验室，(2)两个新的数学计算课程，以及(3)六个枫树工作坊(持续两个暑假)。这些实验对应于(但独立于)我们微积分序列中的一年级/二年级课程，这些课程由数学、科学、工程和中等教育专业的学生学习。数学计算课程是初级课程，教授计算机编程原理，包括从微积分序列中学到的概念和技术中提取练习和项目。预计赠款产生的材料将有两种形式：(1)印刷：一本专门设计用于分析和记录微积分实验室计算实验结果的实验室手册，一本关于Maple编程的教科书，以及关于在高中和社区大学使用Maple的小册子，以及(2)电子：CD-ROM，以伴随和扩展印刷材料和网站，以补充材料和传播其概念，

This project is developing materials, printed and electronic, for extending and strengthening computing skills for math, science, and engineering majors, as well as for secondary education majors from these disciplines.Although computer algebra systems (like Maple) have been with us now for almost twenty years, the full integration of these tools into the math, science, and engineering curricula has only recently begun to be widely implemented. Our project aids and facilitates this implementation in Mississippi. The major emphasis of the project is two new courses that use Maple as the actual programming language for students to learn concepts and structures. Maple offers a friendly, interactive environment that is most conducive for studying programming principles and has the combined power of graphic, numeric, and symbolic manipulation. The courses are being designed not only to stress the logic and algorithms inherent in programming, but also to use, and thus reinforce, the basic concepts learned in the calculus sequence. To maximize the effectiveness and impact of these courses, we are instituting new calculus computing labs and summer workshops.The curriculum materials are being developed in conjunction with the creation of (1) four new calculus computing labs, (2) two new mathematical computing courses, and (3) six Maple workshops (extending over two successive summers). The labs correspond to (but are independent of) the freshman/sophomore courses in our calculus sequence, which are taken by math, science, engineering, and secondary education majors. The mathematical computing courses are junior level courses to teach the principles of computer programming with exercises and projects drawn from concepts and techniques learned in the calculus sequence. It is expected that the materials resulting from the grant will have two forms: (1) Printed: A special purpose LabBook designed to analyze and record results from computing experiments in the calculus labs, a textbook on programming in Maple, and pamphlets on the use of Maple in high schools and community colleges and (2) Electronic: CD-ROMs to accompany and extend the printed material and Web sites to augment the material and disseminate its concepts,