Mathematical Model For Collaborative Learning: Acquiring Hierarchic-Structured Knowledge

Abstract

In this paper, time evolutions of students’ knowledge level who are engaged in collaborative learning, is simulated using mathematical model. In this model, students try to acquire hierarchic-structured knowledge. It is found that the structure of the collaborative groups formed by the students influence their achievements. Collaborative learning is said to be useful because one can reach the level where one cannot reach with the traditional teaching approach. We have the result that collaborative learning is especially effective when learning the difficult knowledge and we might be able to say our model successfully described the aspect of collaborative learning.