Khatin-Zadeh Omid, Farsani Danyal, Breda Adriana
School of Foreign Languages, University of Electronic Science and Technology of China, Chengdu, China.
Norwegian University of Science and Technology, Trondheim, Norway.
Front Psychol. 2023 Mar 2;14:1091678. doi: 10.3389/fpsyg.2023.1091678. eCollection 2023.
This article discusses the cognitive process of transforming one representation of mathematical entities into another representation. This process, which has been called , allows us to understand and embody a difficult-to-understand mathematical entity in terms of an easy-to-understand entity. When one representation of a mathematical entity is transformed into another representation, more cognitive resources such as the visual and motor systems can come into play to understand the target entity. Because of their nature, some curves, which are one group of visual representations, may have a great motor strength. It is suggested that directedness, straightness, length, and thinness are some possible features that determine degree of motor strength of a curve. Another possible factor that can determine motor strength of a curve is the strength of association between shape of the curve and past experiences of the observer (and her/his prior knowledge). If an individual has had the repetitive experience of observing objects moving along a certain curve, the shape of the curve may have a great motor strength for her/him. In fact, it can be said that some kind of metonymic relationship may be formed between the shapes of some curves and movement experiences.
本文讨论了将数学实体的一种表示形式转换为另一种表示形式的认知过程。这个过程，被称为 ，使我们能够根据一个易于理解的实体来理解和体现一个难以理解的数学实体。当一个数学实体的一种表示形式转换为另一种表示形式时，诸如视觉和运动系统等更多的认知资源可以发挥作用来理解目标实体。由于其性质，作为视觉表示形式之一的一些曲线可能具有很大的运动强度。有人认为，方向性、直线性、长度和细宽度是决定曲线运动强度程度的一些可能特征。另一个可以决定曲线运动强度的可能因素是曲线形状与观察者过去的经验（以及她/他的先验知识）之间的关联强度。如果一个人有沿着某条曲线观察物体运动的重复经验，那么这条曲线的形状对她/他来说可能具有很大的运动强度。事实上，可以说在一些曲线的形状和运动经验之间可能形成某种转喻关系。
