The issues of creating intelligent automated learning systems with a reflection function are considered. Using the theory of reflexive games by V.A. Lefebvre, an intelligent reflexive agent (IRA) is introduced into the structure of the learning system planner, providing a search for compromise solutions in the interaction of the models of the student, teacher, subject tutor and methodologist. The basic components of the model of reflexive perception of the IRA of the student and the learning situation are given, taking into account the specifics of decision-making for different stages of learning.