Fair division methods approach as the option of learning process modeling

This paper introduces a new perspective for learning process and student-teacher relationship modeling. A possible framework for including pedagogy in such relationships, which can be applied to both face-to-face and online learning, is nowadays beginning to emerge. This framework combines individual possibilities and resources attributes, confronting them in a fair way. We found game theory - the study of behavioral relations - and fair division methods, their symbols and strategies, useful for modeling and solving our task. Here we suggest and present the original and new idea of modeling learning “contents” as resources, students as players and the teachers as dividers. It is not easy to find a way to fairly share resources between many different players, especially when the resources are continuous. It is not easy to introduce numerical measures to resources-players game (i.e. to create costs). Hence, the divider is confronted with large (theoretically infinite) number of iterative trials looking for appropriate costs and appropriate solution. Therefore the use of computers and software support becomes very important. We have developed first useful application software for this purpose. A simple example of its use is demonstrated in this paper.