The Calculus Companion: A Computational Environment for Exploring Mathematics

微积分课程正在修订，以向学生提供更复杂的现实世界问题，帮助他们发展执行多步骤推理所涉及的技能，并帮助他们学习准确而连贯地表达数学思想。正在开发一种独特的计算环境，在这种环境中，学生既可以将计算机用作辅导设备，也可以作为计算辅助工具。该系统名为Calculus Companion，由计算机代数系统Maple的用户友好界面以及数值计算和图形显示例程组成。

The calculus curriculum is being revised to provide students with more complex, real world problems, to help them develop the skills involved in performing multi-step reasoning, and to help them learn to express mathematical ideas precisely and coherently. A unique computational environment is being developed in which students use the computer as both a tutoring device and a computational aid. The system, called the Calculus Companion, consists of a user-friendly interface to the computer algebra system MAPLE and numerical computation and graphical display routines.