Calculus: Restructuring and Integration with Computing
Calculus: Restructuring and Integration with Computing
批准号:
8814009
负责人:
Richard Crowell
金额:
$5.05万
依托单位:
依托单位国家:
美国
项目类别:
Standard Grant
财政年份:
1988
资助国家:
美国
项目状态:
已结题
起止时间:
1988-08-01 至 1990-01-31
中文摘要
达特茅斯学院的数学家们将把计算机整合到微积分课程中,并计划重组。他们的方法将强调初等函数,并使用计算机进行图形显示和函数值表格的计算。学生编写的程序将用于研究这些功能。微分学和积分学将通过微分学的方法来教授,并大量使用计算机。这些概念将被用来解决“现实世界”的问题。期望学生从理论、应用和计算机研究的结合中对微积分概念有更深的理解。在四门微积分课程中,学生将培养独立进行数值和图形调查的能力。达特茅斯公司将开发文本和计算机材料、演示程序和问题。这一新课程的测试和评估计划将在规划拨款期间制定。达特茅斯为该项目提供了三分之一的资金。
英文摘要
Mathematicians of Dartmouth College will integrate computers into and plan the restructuring of the calculus curriculum. Their approach will emphasize elementary functions and use the computer for graphical displays and computation of tables of function values. Student written programs will be used to investigate these functions. Differentiation and integration will be taught by means of the difference calculus, making heavy use of the computer. These concepts will be used to solve "real- world" problems. It is expected that students will gain a deeper understanding of calculus concepts from the combination of theory, applications and computer investigations. During the four course calculus sequence, students will develop the capabilities of doing their own numerical and graphical investigations independently. Dartmouth will develop text and computer materials, demonstration programs and problems. Plans for the testing and evaluation of this new curriculum will be made during the planning grant. Dartmouth is financing one-third of the project.
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