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Related Experiment Video

Updated: May 22, 2025

RBDT: A Computerized Task System based in Transposition for the Continuous Analysis of Relational Behavior Dynamics in Humans

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Published on: July 17, 2021

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

Omid Khatin-Zadeh¹, Zahra Eskandari², Danyal Farsani³

¹School of Foreign Languages, University of Electronic Science and Technology of China, Chengdu, China. khatinzadeh.omid@yahoo.com.

Integrative Psychological & Behavioral Science

|March 12, 2025

Summary

This study explores three mathematical processing modes: symbolic, situational, and verbal. It introduces dynamic cross-type representational transformation, a cognitive process enhancing mathematical problem-solving by integrating these modes.

Keywords:

Dynamic cross-type representational transformation Executive functions Situational processing Symbolic processing Verbal processing

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Area of Science:

Cognitive Science
Neuroscience
Mathematics Education

Background:

Mathematical processing involves distinct symbolic, situational, and verbal representations.
Symbolic processing is suppressive-oriented, situational is receptive and sensorimotor-reliant, and verbal is linguistic-oriented.

Purpose of the Study:

To introduce and define dynamic cross-type representational transformation (DCR T).
To propose that these three processing modes can be integrated dynamically.
To explore the cognitive benefits of DCR T in mathematical thought.

Main Methods:

Conceptual analysis of symbolic, situational, and verbal mathematical representations.
Theoretical framework development for dynamic cross-type representational transformation.
Discussion of cognitive capacity and brain network engagement.

Main Results:

Three distinct modes of mathematical processing (symbolic, situational, verbal) are identified.
Dynamic cross-type representational transformation (DCR T) allows simultaneous use of these modes.
DCR T enhances cognitive capacity and brain network utilization for mathematical tasks.

Conclusions:

Dynamic cross-type representational transformation (DCR T) is a high-level cognitive process.
DCR T enables flexible shifting between mathematical representations.
This dynamic process is a component of executive functions.