Keyword: «methodological foundations»

The problem of the need to find methodological foundations for building the educational process of higher education is actualized at the present stage of human civilization development in the conditions of social transformation, characterized by a comprehensive crisis and the acceleration of digital elements introduction into all areas of the life of a professional specialist. The research aim is to identify and substantiate the methodological basis for providing the possibility of creative use of digital transformation factors in the educational environment of higher school: ensuring the quality of the content and results of higher education in the context of digital transformation, the compliance of the higher education system with the tasks of sustainable development and progress in the evolutionary direction. The research found that foreign scientists consider artificial intelligence, big data, the Internet of things, cloud computing as criteria of significance for society in the era of social transformation. Domestic pedagogical science focuses not only on digital indicators, but also considers it necessary to take into account the impact of the social transformation on the readiness of teaching staff to implement online distance learning, the availability of pedagogical opportunities to ensure the quality of higher education, the impact of social transformation on the health of students. The research uses a systemic method for analyzing all the consequences and risk factors in the digital transformation of higher education and finding methodological basis for building educational process. Therefore, the main world trends in the higher education development are analyzed as a reflection of the Nature laws implementation. There are those among them that are formulated by UNESCO: the higher education diversification, radical change in curricula, movement from the qualification concept to the competence concept, merging of higher education with the work world, higher education quality as a common denominator of higher education reforms. The author highlights the impact of the society digital transformation on the processes in higher education and the need to identify inconsistencies with world development trends in the consequences of this impact in order to correct the educational process and ensure its quality, and also proposes a criterion for maintaining the higher education quality in the context of the social and digital transformation of higher education. It is the theoretical significance of the research. The research results will contribute to the efficiency and sustainability of the higher education development in its practical implementation.

In modern education, a transdisciplinary approach is increasingly used, bringing it to a new, higher level of knowledge. Mathematics is of crucial importance in the emergence of unique transdisciplinary scientific fields such as cybernetics, artificial intelligence (AI), big data, etc. The aim of the article is to substantiate the need for the introduction of a course "Mathematical foundations of artificial intelligence" in universities and its transdisciplinary role in teaching. When substantiating the transdisciplinary role, it is taken into account that artificial intelligence systems are based on discrete sections of mathematics and sections of computer science. These sections synthesize a new, previously disparate problem field, built on top of the traditional grid of the studied disciplines. Based on the study of these sections, a transdisciplinary style of thinking and a new holistic worldview, readiness for a systemic solution of complex problems of nature and society are developed. In the study, the leading role was played by the methods of systems analysis of the AI development and its mathematical foundations, which are important in improving the performance of computers. In accordance with the culturological approach, the study highlights the most significant components of the mathematical culture of AI research, which are mathematical modeling and discrete mathematics. As a result of the systems analysis, the structural elements of the profile content of the course (module) "Mathematical foundations of AI" for the implementation of the transdisciplinary role of this course are identified. “Curriculum” conceptual provisions on the development of recommendations for the content of typical curricula for teaching the course “Mathematical Foundations of AI” in universities were identified. It is important for students to understand that mathematics is unified and that there is an internal logic to mathematics. Therefore, it is important to teach AI systems based on a logically correct relationship between discrete and continuous mathematics. The specified course represents the basis for the development of general professional competences in the field of AI including: the ability to develop original algorithms and software products for solving professional tasks; the ability to develop and upgrade software and hardware for information and automated systems. The proposed course contributes to the development of general professional competences in the field of AI for the training of students in various fields. The theoretical and practical significance of the study lies in the fact that the structural elements and didactic provisions for selecting the profile content of the course “Mathematical Foundations of AI” have been identified and characterized.