The theory of figural concepts
The theory of figural concepts
复制标题
形象概念理论
DOI：
10.1007/bf01273689
复制
发表时间：
1993
影响因子：
3.2
通讯作者：
E. Fischbein
中科院分区：
文献类型：
--
作者：
E. Fischbein
本论文的主要论点是，几何处理的心理实体（所谓的几何图形），同时拥有概念和图形的字符。例如，一个几何球是一个抽象的理想，形式上可确定的实体，就像每一个真正的概念一样。同时，它具有图形属性，首先是某种形状。理想的，绝对完美的几何领域不能在现实中找到。在概念与图形的共生关系中，正如在几何实体中所揭示的那样，正是图形的成分激发了新的思维方向，但也有逻辑的、概念的约束控制着这一过程的形式严谨性。我们把几何图形称为图形概念，因为它们具有双重性质。本文分析了由于这种双重性而可能出现在图形概念中的内在张力、发展方向和教学启示。
The main thesis of the present paper is that geometry deals with mental entities (the so-called geometrical figures) which possess simultaneously conceptual and figural characters. A geometrical sphere, for instance, is an abstract ideal, formally determinable entity, like every genuine concept. At the same time, it possesses figural properties, first of all a certain shape. The ideality, the absolute perfection of a geometrical sphere cannot be found in reality. In this symbiosis between concept and figure, as it is revealed in geometrical entities, it is the image component which stimulates new directions of thought, but there are the logical, conceptual constraints which control the formal rigour of the process. We have called the geometrical figuresfigural concepts because of their double nature. The paper analyzes the internal tensions which may appear in figural concepts because of this double nature, development aspects and didactical implications.