Integrating Lab Activities into Geometry at Gustavus Adolphus College

国家数学教师理事会制定的K12课程新标准要求将技术融入数学教学和学习，并增加对数学的积极探索。 数学教育专业的学生需要在他们的业余数学课程中获得这些领域的经验，这样他们就可以把这些知识带到公立学校。 本计画的目标是将几何概念的电脑视觉化整合到几何课程中。 七个实验室活动正在开发中，与欧几里德和非欧几里德几何，变换和射影几何，平铺，多面体和几何结构的组件。 用于执行实验项目的主要软件是GeomView，这是明尼苏达州明尼阿波利斯市几何中心开发的几何探索系统。 其他软件包括Mathematica和Geometer's Sketchpad。 该项目将为数学教育专业的学生提供模型和工具，他们将把这些模型和工具纳入自己的教学中，从而加强公立学校的教学气氛。 一旦教师进入公立学校，将通过对他们的调查来评估该项目的有效性。

New standards for the K 12 curriculum which have been developed by the National Council of Teachers of Mathematics call for the integration of technology into the teaching and learning of mathematics and for the increased use of active explorations in mathematics. Mathematics education majors need to gain experience in these areas during their preservice mathematics courses, so that they can then bring this knowledge with them into the public schools. The objective of this project is to integrate computer visualization of geometric ideas into a geometry course. Seven lab activities are being developed, with components on Euclidean and Non-Euclidean geometries, transformations and projective geometry, tilings, polyhedra, and geometric constructions. The primary software used to carry out the lab projects is GeomView, a geometry exploration system developed at the Geometry Center in Minneapolis, MN. Additional software will include Mathematica and Geometer's Sketchpad. The project will provide mathematics education majors models and tools which they will integrate into their own teaching, thus strengthening the climate for teaching and learning in the public schools. Evaluation of the effectiveness of the project will be through surveys of teachers once they are in the public schools.