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几何作图是几何课程重要内容之一,《数学通报》先后于1962年4月号,11月号,1963年4月号,7月号陆续发表了有关几何作图的译文与文章5篇。文章谈的是各人不同的见解,但我认为这是一个关系到几何教学能否贯彻教改精神,关系到几何教学能否更好地为党的教育方针服务的问题,因此必须认真对待,深入讨论。本文只就几何作图的作用谈谈个人的一点看法。不妥之处,盼予指正。对于几何作图的作用其所以会有不同的看法,大致都是由于对设置几何学的目的任务有着不同理解而引起的,目前看来,这个问题的实质就是资产阶级教育思想与无产阶级激育思想斗争的具体反映。欧几里得几何学派认为“几何学不是用于测量的学问,而是具有严密逻辑系统的理论”,“重要的不是实际存在的直线与圆,而是直线与圆的概念”这就赤裸祼地暴露了他们唯心主义的本质,将几何学当为完全脱离实际的纯粹理论。从这一点出发,他们对于几何作图就明白地规定了:“其实质不仅在于按照题设条件作出合乎要求的图形,更主要的是限用尺规作图,并且所有的作图题都
Geometry drawing is one of the important contents of the Geometry Curriculum. The “Mathematical Bulletin” was published in April 1962, November, April 1963, and the July issue of the translation of geometric drawings and five articles. The article talks about different people’s opinions, but I think this is a question that concerns whether the geometry teaching can implement the spirit of education reform and whether it can better serve the party’s educational policy. Therefore, it must be taken seriously. discuss. This article only talks about the individual’s point of view on the role of geometric mapping. Inappropriate, hope to correct me. The role of geometric mapping has different views, which are generally caused by different understandings of the purpose of setting up geometry. At present, the essence of this problem is the bourgeois educational thought and the proletariat The concrete reflection of ideological struggle. The Euclid Geometry School believes that “Geometry is not a science for measurement, but a theory with a tightly logical system.” “What matters is not the actual existence of lines and circles, but the concept of lines and circles.” The nature of their idealism has been exposed and geometry has been treated as a pure theory that is completely out of touch with reality. From this point of departure, they clearly stated that for geometric drawing: "The essence of this is not only to make the required figures according to the conditions of the questions, but more importantly to limit the size of the rulers, and all the drawing questions are