Geodesic
Nonlinear dynamics and synchronization of computational cognitive model in educational science
Akpan, Ekemini T. 1 ; Joshua, Enobong E. 2 ; Uduk, Ignatius E. 3
1 Department of Science Education, Mathematics Unit, Faculty of Education, University of Uyo, Uyo
2 Department of Mathematics, Faculty of Science, University of Uyo, Uyo
3 Department of Human Kinetics, Faculty of Education, University of Uyo, Uyo
Journal of nonlinear sciences and its applications, Tome 14 (2021) no. 1, p. 15-28.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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.
DOI : 10.22436/jnsa.014.01.03
Classification : 37C75, 91E10, 97C30, 97M10
Keywords: Cognitive model, equilibrium, learning, stability, synchronization, Lyapunov matrix equation

Akpan, Ekemini T.  1 ; Joshua, Enobong E.  2 ; Uduk, Ignatius E.  3

1 Department of Science Education, Mathematics Unit, Faculty of Education, University of Uyo, Uyo
2 Department of Mathematics, Faculty of Science, University of Uyo, Uyo
3 Department of Human Kinetics, Faculty of Education, University of Uyo, Uyo 
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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 its applications, Tome 14 (2021) no. 1, p. 15-28. doi : 10.22436/jnsa.014.01.03. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.014.01.03/

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