From structural-cognitive model of crisis in pedagogical systems to formal idealization of mathematical model

Synergetic modeling of crises in social, pedagogical systems makes it possible to identify the structure of the crisis, that is common to systems of different nature. It provides a key to the study of crises, including the construction of their mathematical models. The article discusses the stage of synergetic modeling, which consists of the transition from the structural and cognitive model of the crisis to its formalization and idealization for further construction of a mathematical model. Synergetic, systemic, process approaches are the basis of the structural and cognitive model of the crisis. The results of pedagogical experiments allow us to numerically characterize the structure of the crisis, identify numerical parameters that describe the course of the crisis from the inside. Multivariate statistical analysis methods are used to process the experimental results.