指导与应用:高等几何与初等几何的关系辨析

Guide and Application:Analysis of the Relation between Higher Geometry and Elementary Geometry

高等几何是高等师范院校数学与应用数学专业的一门重要基础课,其中贯穿着现代数学的思想、理念和方法,是初等几何的延伸,拓展了初等几何的解题途径,丰富了初等几何的研究方法,开阔了初等几何的学习视野.高等几何对培养中学数学教师的几何基础及几何观念等具有重要作用,将来要从事中学数学教学的师范生应重视和研究高等几何在初等几何中的指导性和应用性.

The higher geometry,an important course for mathematics and applied mathematics major in higher institutions of teaching,which covers the thoughts,concepts and methods of modern mathematics,is an extension of elementary geometry and the higher geometry expands the solution to elementary geometry,enriches its research methods,and broadens the learning views as well.Moreover,the higher geometry plays a crucial role in training and guiding middle school teachers of elementary geometry.