The Main Reasons for Poor Assimilation of Descriptive Geometry

N. Sal'kov
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引用次数: 10

Abstract

Descriptive geometry is the most difficult subject studied by first-year students in technical universities. The paper considers the reasons for poor geometric knowledge among university graduates. It is determined that there are three main objective reasons. 1. Poor geometric training in high school, where they study planimetry and stereometry, but not all the knowledge that future students will need at the university is included for passing the Unified State Exam. Also, in high school, students do not develop the habit of thinking analytically, although when proving geometric theorems, this function has developed greatly. 2. Descriptive geometry has a completely different method, which differs from all the methods of disciplines that are studied at school, is the projection method, which develops spatial imagination. Exactly the method that gives any description in the daily activities of any person and in the work of any engineer. 3. Disadvantages of university textbooks on descriptive geometry. Each section of the textbook on descriptive geometry has been based on a particular geometric image since ancient times: a point, a straight line, a plane, etc. As a result, tasks that could be collected in their own section of the textbook (for example, all positional problems or all metric problems) are scattered throughout the entire body of the textbook. And from this there is an opinion that each of the tasks has its own unique solution algorithm. It is shown that with a systematic approach, all positional problems, as well as all metric ones, are solved, in principle, according to a single algorithm.
画法几何同化不良的主要原因
描述几何是工科大学一年级学生最难学的一门学科。本文分析了高校毕业生几何知识贫乏的原因。确定有三个主要的客观原因。1. 高中时的几何训练很差,他们学的是平面学和立体学,但并不是未来学生在大学里需要的所有知识都包括在通过美国统一考试的范围内。此外,在高中阶段,学生没有养成分析思维的习惯,尽管在证明几何定理时,这个功能已经发展得很大。2. 描述几何有一种完全不同的方法,它不同于学校里学习的所有学科的方法,它是投影法,它可以发展空间想象力。在任何人的日常活动和任何工程师的工作中,这种方法都是正确的。3.大学几何画法教材的弊端。课本上描述几何的每一部分,自古以来都是基于一个特定的几何图像:一个点、一条直线、一个平面等。因此,可以在教科书中单独的部分中收集的任务(例如,所有位置问题或所有度量问题)分散在教科书的整个主体中。由此有一种观点认为每个任务都有自己唯一的解算法。结果表明,在系统的方法下,所有的位置问题以及所有的度量问题原则上都可以根据一个单一的算法得到解决。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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