TY - JOUR

T1 - How can transforming representation of mathematical entities help us employ more cognitive resources?

AU - Khatin-Zadeh, Omid

AU - Farsani, Danyal

AU - Breda, Adriana

N1 - Publisher Copyright:
Copyright © 2023 Khatin-Zadeh, Farsani and Breda.

PY - 2023/1/1

Y1 - 2023/1/1

N2 - This article discusses the cognitive process of transforming one representation of mathematical entities into another representation. This process, which has been called mathematical metaphor, 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.

AB - This article discusses the cognitive process of transforming one representation of mathematical entities into another representation. This process, which has been called mathematical metaphor, 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.

KW - gesture

KW - mathematical metaphor

KW - motor strength

KW - motor system

KW - representation

UR - http://www.scopus.com/inward/record.url?scp=85150377583&partnerID=8YFLogxK

U2 - 10.3389/fpsyg.2023.1091678

DO - 10.3389/fpsyg.2023.1091678

M3 - Artículo

AN - SCOPUS:85150377583

SN - 1664-1078

VL - 14

JO - Frontiers in Psychology

JF - Frontiers in Psychology

M1 - 1091678

ER -