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Maple Computing Across the Math and Science Curriculum

Maple Computing Across the Math and Science Curriculum
跨数学和科学课程的 Maple 计算
批准号:
9950705
负责人:
Mylan Redfern
金额:
$17.46万
依托单位国家:
美国
项目类别:
Standard Grant
财政年份:
1999
资助国家:
美国
项目状态:
已结题
起止时间:
1999-09-01 至 2002-08-31

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中文摘要
翻译
该项目正在开发印刷和电子材料,用于扩展和加强数学,科学和工程专业的计算技能,以及这些学科的中学教育专业。虽然计算机代数系统(如Maple)已经与我们在一起近20年,这些工具的全面整合到数学,科学和工程课程直到最近才开始广泛实施。我们的项目帮助并促进了密西西比的实施。该项目的主要重点是两个新的课程,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式环境,最有利于学习编程原理,并具有图形,数字和符号操作的综合能力。这些课程的设计不仅强调编程中固有的逻辑和算法,而且还使用并加强了微积分序列中学到的基本概念。为了最大限度地提高这些课程的有效性和影响力,我们正在建立新的微积分计算实验室和夏季研讨会。课程材料正在开发,同时创建(1)四个新的微积分计算实验室,(2)两个新的数学计算课程,(3)六个Maple研讨会(连续两个夏天)。这些实验室对应于(但独立于)我们微积分序列中的大一/大二课程,这些课程由数学,科学,工程和中等教育专业学生参加。数学计算课程是初级课程,旨在教授计算机编程原理,并从微积分序列中学习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:一个特殊用途的LabBook,旨在分析和记录微积分实验室的计算实验结果,Maple编程教科书,以及在高中和社区学院使用Maple的小册子和(2)电子:光盘用于补充和扩充印刷材料,网址用于扩充材料和传播其概念,
英文摘要
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,
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