面向21世纪高师院校《几何》课程改革设想

The Constructive Suggestion Devoted toReforming Geometry Courses

本文中，我们从培养师范院校学生成为下一世纪合格教师出发提出了一些建议。主要观点是：１．将科学方法和科学态度与几何课程教学结合起来，提出了七条建议。２．适当穿插数学史。３．教材中应有详讲部份和引导学生自学部份。４．培养自学能力是大学教育的目标。５．适当介绍几何学科前沿。６．几何课程内容的现代化。

In this note, we present some constructive suggestions, for the purpose to train our students as qualified teachers for the education in next century. The main points are the following.1. combining the teaching of the gometry courses with the education of sciense method and attitude(in this part“seven steps”in teaching are put forward). 2. How to insert history data. 3. A text book should suggest content of self-education and teaching in details. 4. To train the ability of self-education is the target for higher education. 5. Openning the window to have a glimpse at frontier of mathematics or related fields. 6. Some ideas of renewing teaching content in geometry courses(for synthetic geomitry, analytic geometry, projective geometry, and differential geometry courses) .