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把近代数学的基本观点,渗透到中学数学教材之中,改造原有教材的知识结构,从而缩短经典数学与应用数学的距离,是教学改革的有益尝试。中学几何教材基本上是根据欧几里得的公理体系来编写的,学生初学几何时,用静止的观点去剖析空间图形的几何性质,这从人们认识事物的客观规律来说,是完全必要的。但是,当学生已经有了相当数量的感性知识积累之后,应该不失时机地引导学生去观察、把握空间图形的变换规律,把学生的空间想象力引入“动的世界”,在《立体几何》中,我们尝试把投影的概念、方法和应用,与点、线、面的几何性质相结合,目的就在此。
By infiltrating the basic viewpoints of modern mathematics into middle school mathematics teaching materials and transforming the original knowledge structure of the textbooks, the distance between classical mathematics and applied mathematics is shortened. This is a beneficial attempt in teaching reform. High school geometry textbooks are basically written according to Euclid’s axiom system. When students begin to learn geometry, they use the static point of view to analyze the geometric properties of spatial graphics. This is absolutely necessary for people to understand the objective laws of things. . However, when students have accumulated a considerable amount of perceptual knowledge, they should take the opportunity to guide students to observe and grasp the changing patterns of spatial patterns, and to introduce students’ spatial imagination into the “moving world”. In “Three-Dimensional Geometry,” We try to combine the concepts, methods, and applications of projection with the geometric properties of points, lines, and surfaces. The purpose is here.