Dynamic Mathematical Processing Through Symbolic, Situational, and Verbal Representations.

IF 1.1 4区心理学 Q4 PSYCHOLOGY, BIOLOGICAL

Integrative Psychological and Behavioral Science Pub Date : 2025-03-12 DOI:10.1007/s12124-025-09899-3

Omid Khatin-Zadeh, Zahra Eskandari, Danyal Farsani, Hassan Banaruee

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引用次数: 0

Abstract

In this paper, we discuss symbolic, situational, and verbal mathematical processing. These three modes of processing are conducted by the mediums of symbolic, situational, and verbal mathematical representations. While symbolic processing is a suppressive-oriented mechanism, situational one is receptive-oriented and reliant on sensorimotor features of elements in the context of mathematical representation. Verbal processing is a linguistic-oriented mechanism that is supported by semantic networks. We suggest that these three mechanisms can be dynamically employed at the same time to process a mathematical idea or problem. We call this high-level process as dynamic cross-type representational transformation. Dynamic cross-type representational transformation is a mode of thought that enables the individual to dynamically shift between various types of mathematical representations and to employ a larger part of cognitive capacity and brain's networks. Finally, we conclude that this dynamic process can be regarded as one specific part of executive functions.

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通过符号、情景和言语表征的动态数学处理。

在本文中，我们讨论了符号、情景和语言数学加工。这三种处理模式是通过符号、情景和语言数学表征的媒介进行的。符号加工是一种抑制性导向机制，而情景加工则是一种接受性导向机制，依赖于数学表征情境中要素的感觉运动特征。言语加工是一种由语义网络支持的面向语言的机制。我们建议这三种机制可以同时动态地应用于处理一个数学概念或问题。我们把这个高级过程称为动态跨类型表示转换。动态跨类型表征转换是一种思维模式，它使个体能够在不同类型的数学表征之间动态转换，并利用更大一部分的认知能力和大脑网络。最后，我们得出结论，这一动态过程可以被视为执行功能的一个特定部分。

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来源期刊

Integrative Psychological and Behavioral Science Psychology-Social Psychology

CiteScore

2.50

自引率

16.70%

发文量

期刊介绍： IPBS: Integrative Psychological & Behavioral Science is an international interdisciplinary journal dedicated to the advancement of basic knowledge in the social and behavioral sciences. IPBS covers such topics as cultural nature of human conduct and its evolutionary history, anthropology, ethology, communication processes between people, and within-- as well as between-- societies. A special focus will be given to integration of perspectives of the social and biological sciences through theoretical models of epigenesis. It contains articles pertaining to theoretical integration of ideas, epistemology of social and biological sciences, and original empirical research articles of general scientific value. History of the social sciences is covered by IPBS in cases relevant for further development of theoretical perspectives and empirical elaborations within the social and biological sciences. IPBS has the goal of integrating knowledge from different areas into a new synthesis of universal social science—overcoming the post-modernist fragmentation of ideas of recent decades.