On the structure of the teaching-learning interactive process

Abstract

This article is a follow-up to an earlier paper byMarchi andMiguel [1974] in which a mathematical structure for the teaching-learning process has been developed. Now, possible paths for teaching in a given knowledge set and the possible choices open to different teachers and groups of students are investigated. Furthermore, considering that teachers and students are in an interactive situation, an optimal global procedure corresponds exactly to the concept of equilibrium point. The existence proof gives rise to a constructive algorithm which would allow using the results for practical applications.