A model for mastery learning based on dynamic equilibrium theory

A theoretical model is developed based on dynamic equilibrium theory, which suggests a quantitative explanation for the basic idea in mastery learning that individuals of different aptitude reacting in an ideal environment to the same total quantity of material will ultimately reach the same mastery status, or gain equal increments of status starting from the same base, in time spans inversely proportional to the aptitude. The approach incorporates two widely used mechanisms, one for growth in learning and intelligence and one for loss through forgetting, into a single model that treats acquisition and loss as opposing, but simultaneously occuring processes. Operational definitions for acquisition and loss rate constants that would enable the model to account exactly for the basic assumption of mastery learning and at the same time yield a growth pattern identical to that implicit in the Stanford Binet ratio IQ are identified. An analysis of the extent to which the requirements of the model are confirmed by the available experimental evidence reveals that the basic idea of mastery learning is a useful and convenient approximation, which applies with some validity to the growth of mental ability as well as to the growth in school achievement.