Nuriev N.K., Starygina S.D.
PARAMETRIC DIDACTICS: DEVELOPMENT OF THE CYBER-PHYSICAL CONCEPT IN EDUCATION ^{[№ 1 ' 2025]}
In parametric didactics, all issues of organizing and implementing training are considered based on a systems approach. The behavior, efficiency, and reliability of any system (biological, didactic, economic, technical, etc.) are characterized by the size and balance of the state of resources, which are reflected in the "order parameters" or key parameters. At the same time, in the most general sense, any dynamic system functions according to the same law: input resources to the system are transformed into output resources under the influence of control resources using the resources of the mechanism. In the study, the mind is considered as a dynamic system, which in the modern interpretation is a neural hypernetwork structure of the brain with its own resources. Reason, by its evolutionary nature, is a means of human survival in the living environment by solving problems. As a postulate, it can be stated that the more complex the problem, the more balanced resources of the mind are needed to solve it. In this context, any training system (didactic system) can be considered as a system for updating the means of survival based on an increase in the resources of the mind. Parametric didactics is a continuation of didactics, i.e. the science of effective organization and implementation of problem-based learning in a parametric format, in which educational activities are aimed at rapid development of intellectual resources of the student's mind, the state of which is formally represented through a set of key parameters. The conceptual model of organization and implementation of learning in a parametric format can be presented as follows: 1. Before the start of learning, the values of key parameters are established, the ability to solve problems depends on the current values. 2. A problem-based learning environment is formed, where any questions and problems are assessed in numbers by complexity. 3. A flexible pedagogical process of problem-based learning transformed into a parametric format is organized. 4. A cyber assistant for the teacher is involved in the processes of monitoring, decision-making, management, and preparation of didactic materials.