An initial effort is made to investigate social aspects of the classroom within a mathematical framework called general system theory. The objective of the study is to set the stage for a theory of social behavior in the large which, when verified, may be employed to guide computer simulations of detailed social situations. A model of a goal-seeking and learning individual (a P-model) is constructed, at which point the interconnection of several such P-models (an n-group) is formalized. The notion of an n-group may represent teacher-class interaction. Analogously to other system-theoretic developments, the dynamic behavior of n-groups is investigated. In particular, the stability and controllability of mutually rewarding behavior in such groups are the objects of discussion. Further, the notion of "status" within an n-group is formalized and change in status is related to the learning capabilities of group members. Illustrative examples are given for each of these investigations in order to provide intuitive appeal to the formalism. The results of the investigation include theorems which state necessary and/or sufficient conditions for stability and controllability of n-groups. Though the conditions are somewhat restrictive, the framework for relating them to the aspects of dynamic behavior is established. Within this framework, the investigation may be extended in several directions and these recommendations for further action are included in the report. (Author)