Implementing Reform in an Internet-Based Classroom

这项提案的主要目标是创建一个以计算机为基础的教室，它超越了物理环境的四面墙，从而使我们的传统学生和我们相当多的非传统学生都能体验到过去十年来改变数学的各种改革努力。特别是，我们建议建立一个基于计算机的教室，将用于讲座，演示和辅导的意义上的传统技术为基础的教室。此外，我们建议通过一个专用的网络服务器，允许访问和参与实验室环境从远程位置的教室网络。因此，学生将有能力在课堂上开始作业，而在校园里，然后他们将能够完成这些作业从任何计算机访问互联网后，他们已经离开校园。 该项目是适应这种设置的文本“多变量微积分”麦卡勒姆，休斯-Hallet，格里森，等。虽然教室将提供给数学系教授的所有课程，我们有针对性地在我们的课程在多变量微积分，数值分析和数值线性代数这一建议。这些课程将从基于计算机的教室中受益最多，也可以通过互联网访问。每个学期，我们有几个继续教育的学生在这些课程谁生活和工作在金斯波特，布里斯托或格林维尔，从25到30英里的范围从主校区。要求这些学生每天回到校园，就像传统的基于计算机的教室一样，不是一个选择。因此，我们建议教这些课程在一个基于计算机的教室与物理存在的指令和辅导，并为外部作业和项目的在线存在。

The major objective of this proposal is to create a computer-based classroom that extends beyond the four walls of its physical setting, thus allowing both our traditional students and our rather large population of nontraditional students to experience the various reform efforts that have transformed mathematics over the past decade. In particular, we propose to establish a computer-based classroom that would be utilized for lecture, demonstration and tutoring in the sense of traditional technology-based classrooms. In addition, we propose to network the classroom through a dedicated web server allowing access to and participation in the laboratory environment from remote locations. As a result, students will have the ability to begin assignments in the classroom while on campus, and then they will be able to complete those assignments from any computer with access to the Internet after they have departed campus. The project is adapting for this setting the text "Multivariable Calculus" by McCallum, Hughes-Hallet, Gleason, et.al. Although the classroom will be available to all courses taught by the mathematics department, we are targeting this proposal at our courses in multivariable calculus, numerical analysis and numerical linear algebra. These are the courses that stand to benefit the most from a computer-based classroom which is also accessible via the Internet. Each semester we have several continuing-education students in these courses who live and work in either Kingsport, Bristol or Greeneville, which range from 25 to 30 miles from the main campus. Requiring these students to return to campus daily, as would be the case with a conventional computer-based classroom, is not an option. Thus, we propose to teach these courses in a computer-based classroom with a physical presence for instruction and tutoring, and an on-line presence for outside assignments and projects.