METHODOLOGICAL BASIS FOR DEVELOPING STUDENTS’ STOCHASTIC COMPETENCE IN THE PROCESS OF SOLVING PROBLEMS

Abstract

The article scientifically substantiates the methodological foundations for developing the stochastic competence of higher education students in the process of solving applied problems. It clarifies the meaning of the concept of «stochastic competence» and defines its role in the structure of training modern specialists. To solve the set tasks, a set of general scientific methods was used: systematization and analysis of scientific sources to establish the state of development of the problem; synthesis and comparison to update the content of educational programs; generalization to determine the expected learning outcomes. It has been established that the formation of stochastic competencies plays an important role in the educational process, as it contributes to the formation of generalized views of the objective world and the place of man in it, as well as readiness for future life. It has been proven that the use of stochastic problems is an important factor in the development of such thinking skills as flexibility, criticality, depth, and adaptability, which allows future specialists to act effectively in conditions of uncertainty. The advantages of using typical problems in physics and mathematics are highlighted, and problems are proposed whose level of complexity corresponds to the cognitive abilities of higher education students, ensuring comprehensibility and gradual progression in the study of educational material, as well as the principles of scientificity, systematicity, and accessibility. The technology for forming stochastic representations based on the use of active teaching methods and tools has been experimentally tested. It has been found that the optimal use of stochastic problems increases the level of students’ professional readiness to analyze risks and make informed decisions.