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

小组发现和交流：低年级数学的计算机实验室方法

• 批准号: 9351502
• 负责人: Joaquin Carbonara
• 金额: $ 3.83万
• 依托单位: SUNY College at Buffalo
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1993
• 资助国家: 美国
• 起止时间: 1993-04-15 至 1995-03-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9351502&HistoricalAwards=false
• 关键词: Group; Discovery; Communications; Computer; Lab

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.

该项目的前提是数学知识是通过研究、综合、实践和教学获得的。为了有效地实现这一信念，布法罗州立学院的数学系正在创建一个基于计算机的数学实验室，教师和学生团体可以在其中进行数学运算。我们正在分配团队“发现”项目来补充课程作业，强调这些项目的书面和口头演示。除了参加这些数学课程的其他学生之外，该项目还影响了大量数学/中等教育专业的学生。 实验室的设计考虑了 NCTM 课程和评估标准。 这些未来的教师正在学习数学，希望他们以后能教书。学生和教授还使用计算机进行课堂演示，学生可以在实验室中自行观看。最后，该实验室还充当辅导中心，部分由数学俱乐部的年轻而热情的成员进行，该俱乐部是我们数学系的活跃组成部分。该实验室由 20 台 Macintosh IIci 计算机、一台激光 Postscript 打印机和一台带有投影仪接口的 powerbook 组成。主要软件包是 Mathematica、APL 和 TEX。课件《矩阵代数》和《塔斯基的世界》也被使用。他们通过在计算机实验室环境中为学生提供“现场”经验，对核心课程进行了实质性补充。学生积极参与学习，并有机会探索新概念，收集和综合在数学实验室中获得的数据，然后将他们的发现形式化并向全班展示。