Abstract
The article analyzes the existing approaches to assessing the level of students' competencies (competence) formation, which proves the need to use a differentiated approach in the development of an appropriate mathematical model. In the process of creating a mathematical model for assessing the level of stochastic competence formation of higher education students, criteria for assessing stochastic competence were selected: professional-cognitive; conative; motivational-valuable. The indicators of formation and the basis of the formation of structural components of stochastic competence are highlighted.
The mathematical model for assessing the level of stochastic competence formation is created using the method of implicit modeling based on dimensional analysis analogy. It is an integrated assessment of the educational activity results of the higher education student taking into account his personal and motivational characteristics. The model establishes the dependence between the assessment of the stochastic competence formation level and the following factors: component-wise assessment of the educational activity results of the higher education student; assessment of the personal characteristics of the higher education student; assessment of the motivation of the student to study stochastics. The levels of competence formation: reproductive, productive, heuristic, creative were defined.
To assess the statistical significance of experimental data, the level of stochastic competence formation in higher education among graduates in the specialty 051 «Economics» was evaluated. The Mann-Whitney U test was used. The results of the experiment confirmed that the application of the developed model provides an objective and reliable assessment of the stochastic competence level formation of higher education students. According to the results of statistical analysis, the proposed model is adequate.
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Trunova, E., Mamchurovskyi, V., Pryschepa, D., Akymenko, A., Bilous, I. (2023). Mathematical Model for Assessing the Quality Level of Formation of Stochastic Competence of Higher Education Acquires. In: Shkarlet, S., et al. Mathematical Modeling and Simulation of Systems. MODS 2022. Lecture Notes in Networks and Systems, vol 667. Springer, Cham. https://doi.org/10.1007/978-3-031-30251-0_16
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