Calculus, Concepts and Computers

普渡大学-印第安纳大学系统的三名数学家将教授三门小型（25-30名学生）基于计算机、计算机语言和代数系统的微积分原型课程。微积分的几何和概念方面，应用问题的解决方案，并通过使用符号操作减少常规演练将被强调。这些课程将包括主流和非主流微积分。使用计算机实验室的程度和使用ISTEL和Maple软件包将有所不同。由25名来自不同学科的专家组成的咨询委员会将提出20世纪后30年科学和数学方面的应用建议。这个项目的一个独特组成部分将是研究学生如何理解或不理解微积分的基本思想。对微积分的教与学进行理论分析、观察和实验。普渡大学将分担项目成本。

Three mathematicians within the Purdue University-Indiana University system will teach three small (25-30 students) prototype calculus courses based on computer, computer languages and algebra systems. The geometric and conceptual aspects of calculus, solution of applied problems, and reduction of routine drill by using symbolic manipulation will be emphasized. These courses will include both mainstream and non-mainstream calculus. The extent of the use of computer labs and the use of the ISTEL and Maple software packages will vary. A consulting board of 25 experts from the various academic disciplines will suggest applications from science and mathematics from the latter third of the 20th century. A unique component of this project will be research on how students come to understand or not to understand the underlying ideas in calculus. Theoretical analysis, observations and experiments on the teaching and learning of calculus will be formulated. Purdue University will share project costs.