Group Discovery and Communications: A Computer Lab Approachto Lower Division Mathematics

这个项目是基于这样一个前提： 知识是通过研究、综合、实践和 教学为了有效地实现这一信念，数学 布法罗州立大学的一个系正在制造一台计算机， 基于数学实验室，教师和学生团体可以做 数学我们正在分配团队“发现”项目， 补充课程，强调书面和口头 介绍这些项目。这个项目影响了一个 大量的数学/中等教育专业学生， 除了其他学生参加这些数学课程。 实验室正在设计与NCTM课程， 评价标准在心中。 这些未来的教师是 学习数学，因为他们希望以后会 教师。学生和教授也使用计算机来做 课堂演示，将提供给 让学生在实验室里自己看。最后，实验室 作为一个辅导中心，部分由年轻人进行， 数学俱乐部的热情成员，这是一个积极的部分， 实验室由20台麦金塔电脑组成 IICI电脑，一台激光打印机，还有一台笔记本电脑 有一个投影仪接口的主要软件 软件包有Mathematica、APL和TEX。课件矩阵 代数和塔斯基的世界也被使用。他们正在制作一个 实质性的除了他们的核心课程，让学生 有计算机实验室的“实地”经验。学生 积极参与学习，并有机会 探索新的概念，收集和综合数据， 在数学实验室中获得，然后形式化并呈现他们的 发现类。

This project is based on the premise that mathematical knowledge is acquired through research, synthesis, practice and teaching. To effectively implement this belief, the mathematics department at Buffalo State College is creating a computer based Math Lab where faculty and student groups can do mathematics. We are assigning team "discovery" projects which complement the coursework, emphasizing the written and oral presentation of these projects. This project is impacting a large number of mathematics/secondary education majors in addition to other students taking these mathematics courses. Laboratories are being designed with the NCTM Curriculum and Evaluation Standards in mind. These future teachers are learning mathematics as it is hoped they will later teach.Students and professors also use computers to do classroom demonstrations, which will be made available to students to view on their own in the lab. Finally, the lab is serving as a tutorial center conducted in part by the young and enthusiastic members of the math club, which is an active part of our math department.The laboratory consists of 20 Macintosh IIci computers, one laser postscript printer, and a powerbook with an overhead projector interface. The primary software packages are Mathematica, APL, and TEX. The courseware Matrix Algebra and Tarski's World are also used.They are making a substantive addition to their core courses by giving students "field" experience in a computer lab setting. Students are being actively involved in learning, and have the opportunity to explore new concepts, to collect and synthesize data obtained in the Math Lab, and then formalize and present their discoveries to the class.