Abstract
Introduction. With the integration of higher education in Ukraine into the world educational process and the strengthening of the role of global economic processes, there is an urgent need to train highly qualified professionals who are competitive in the labour market regardless of the European Union. The initial stage of this process is the formation of the world of competencies needed by applicants in further education and professional activities. To effectively analyse the impact of academic disciplines on the formation of competencies, it is necessary to use mathematical modelling, in particular, it will be appropriate to use cognitive models that can solve predictive problems in conditions of uncertainty. Goal. The purpose of the article is to create a cognitive model of the educational process of higher education to provide conditions for the implementation of an effective curriculum for the formation of the necessary competencies. Method (methodology). The main methods used in the research process: cognitive modelling (construction of cognitive maps to determine the indirect impact of disciplines on the set of competencies), expert method (for the formation of subject connections) and mathematical apparatus (activation functions Cosco and sigmoids for reflection of uncertainty, dynamics states of concepts and connections between them). Results. The article forms a list of concepts and relevant relationships based on qualitative methods of analysis and builds a mathematical model of cognitive maps of the educational process. An analysis of the impact of different subjects on the formation of "hard skills" and "soft skills". Different scenarios of changes in the curriculum and their impact on the formation of relevant competencies are analysed. Conclusions. Based on the main provisions on the prospects for the development of the range of skills that a graduate of 2030 should have, which are highlighted in the National Economic Strategy until 2030 and the World Economic Forum report proposes to increase attention and increase teaching hours in three main disciplines: mathematics, computer science and foreign language. These disciplines are fundamental to many, both "hard skills" and "soft skills" due to indirect links with other disciplines. Only due to this, Ukrainian graduates will have a high competitive position in the labour market.
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