On mathematical modeling of cooperative e-learning performance during face to face tutoring sessions (Ant Colony System approach)

Investigational analysis and evaluation of cooperative learning phenomenon is a challenging educational issue. Recently, educationalists have adopted interesting research work concerned with realistic modeling of human´s cooperative learning phenomenon. That´s by investigation of its analogy with natural behavioral learning aspects, observed by swarm intelligence of social insects colonies. Herein, this paper presents a realistic mathematical modeling of cooperative e-learning which inspired from cooperative behavioral learning observed by one type of Ant Colony System (ACS). More specifically, presented modeling motivated by qualitative analysis of observed behavioral learning performance of ACS type namely: Temnothorax albipennis. In nature, this ACS type observed to perform cooperative behavioural learning on the basis of tandem running technique. Objectively, this colony agents (ants) search for optimal algorithmic solution of foraging process by performing interactive technique. That´s involves learning by interactive communication (positive feedback) between two ants (Follower/Leader) controlling trade-off between speed and accuracy. Interestingly, the analogy between introduced ACS models and corresponding Artificial Neural Networks models is presented.