Nonlinear dynamics and synchronization of computational cognitive model in educational science

Volume 14, Issue 1, pp 15--28 http://dx.doi.org/10.22436/jnsa.014.01.03
Publication Date: June 13, 2020 Submission Date: February 19, 2020 Revision Date: April 30, 2020 Accteptance Date: May 11, 2020

Authors

Ekemini T. Akpan - Department of Science Education, Mathematics Unit, Faculty of Education, University of Uyo, Uyo. Enobong E. Joshua - Department of Mathematics, Faculty of Science, University of Uyo, Uyo. Ignatius E. Uduk - Department of Human Kinetics, Faculty of Education, University of Uyo, Uyo.


Abstract

A computational cognitive model is derived from nonlinear interactions of (Neo) Piagetian-Vygostkian constructs to explain, and predict cognitive processes during collaborative learning. Learning is re-conceptualized as continuous perturbations of cognitive state which unfolds stable cognitive trajectories near Piagetian equilibrium. The model explicates topologically equivalent cognitive patterns, attributed to multi-modal representation of sensory information presented to the learners. Synchronization of the cognitive model is obtained via active control functions which predicts convergence of cognitive states. The synchronized cognitive model is stabilized using Lyapunov matrix equation. These qualitative behaviors emerged due to learner-to-learner and instructor-to-learner scaffolding driven by cognitive executive functions. The dynamical behaviors of the cognitive model are simulated using control parameters with estimated datasets showing viable cognitive trajectories.


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ISRP Style

Ekemini T. Akpan, Enobong E. Joshua, Ignatius E. Uduk, Nonlinear dynamics and synchronization of computational cognitive model in educational science, Journal of Nonlinear Sciences and Applications, 14 (2021), no. 1, 15--28

AMA Style

Akpan Ekemini T., Joshua Enobong E., Uduk Ignatius E., Nonlinear dynamics and synchronization of computational cognitive model in educational science. J. Nonlinear Sci. Appl. (2021); 14(1):15--28

Chicago/Turabian Style

Akpan, Ekemini T., Joshua, Enobong E., Uduk, Ignatius E.. "Nonlinear dynamics and synchronization of computational cognitive model in educational science." Journal of Nonlinear Sciences and Applications, 14, no. 1 (2021): 15--28


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