A Model Computer Laboratory for the Teaching and Learning of Undergraduate Mathematics by Preservice Secondary School Teachers

本项目的目的是在密歇根理工大学建立一个模型计算机实验室，并配备适当的软件，通过归纳法进行几何的学习和教学。该实验室将由11台联网的麦金塔Quadra 650计算机组成。《几何发明人》、《几何superSupposer》、《几何画板》、《乌龟LOGO》、《工厂》等软件将用于大学几何的学习和教学，为中学数学教师提供培训。有了这个软件，学生可以创建自己的几何结构，寻找模式，制定猜想，并测试这些猜想相当快。软件包将探索几何思想和概念，这些思想和概念可以通过软件进行归纳学习。在这些主题上使用软件的计划将由讲师制定，并在软件指南中为学生总结。软件指南将作为其文本的补充，并作为何时以及如何使用软件包的目录。学生对以这种方式学习几何的态度和所涵盖的材料数量将被评估。

The purpose of this project is to establish at Michigan Technological University a model computer laboratory with appropriate software for the learning and teaching of geometry through inductive approaches. The laboratory will consist of eleven Macintosh Quadra 650 computers networked together. Software packages such as the Geometry Inventer, the Geometric superSupposer, Geometer's Sketchpad, Terrapin LOGO, and the Factory will be utilized in the learning and teaching of College Geometry to preservice secondary school mathematics teachers. With this software, students can create their own geometric constructions, look for patterns, formulate conjectures, and test these conjectures rather quickly. The software packages will be explored for geometry ideas and concepts which lend themselves to inductive learning via the software. A plan for the use of the software on those topics will be developed by the instructor, and summarized for the students in a software guide. The software guide will serve as a supplement to their text and as a directory to when and how they should use the software packages. Student attitudes toward learning geometry in this manner and the amount of material covered will be evaluated.