Mathematisation of specialised disciplines as the basis for fundamentalising IT training in universities

Introduction. The widespread mass dissemination of digital technologies in all spheres of human activity places high demands on the quality of university students’ training in the field of IT. However, the quality of such training, and especially its fundamental nature, in many universities lags behind the requirements of the time. Additionally, a significant gap has emerged in higher education regarding the development of basic education curriculum for IT training. Aim. The present study aims to explore the potential of establishing the methodological foundation for the fundamental nature of education by incorporating mathematical principles into various specialised disciplines. This involves integrating discrete and continuous modelling principles and algorithmisation to create synergy. Results and scientific novelty. The synergy between discretion and continuity in mathematics, physics, and information processes is analysed. This analysis characterises the role of discrete mathematics in achieving a synergetic effect in teaching mathematics and computer science. It reveals the fundamental importance of mathematics in teaching formal modelling and algorithmisation languages. The significance of abstract algebra in the introductory teaching of formal languages at both school and university levels is justified. The significance of structures and algorithms, which are prevalent in discrete mathematics for training highly skilled programmers, is emphasised. Practical significance. The research findings will be of interest to both educational theorists and teachers, who provide IT training for students in various fields.

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