Phenomenological mathematical and pedagogical modeling

Abstract. This article is devoted to the development of mathematical modeling of objects and teaching pedagogical research. Here the emphasis is on the use of case studies of the phenomenological approach. In this regard, a special kind of modeling is released - a phenomenological mathematical and pedagogical. Examples of such modeling, taking into account the possible form of the sequence of events in the learning process. It is noted that a transition from the "hard" mathematical modeling of teaching process in a "gentle".