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.

Introduction. Many issues related to the activation of research work of university students remain insufficiently studied and are an urgent problem of higher professional education. Aim. The present research aimed to identify the main factors influencing the processes of activating students’ research work and to develop recommendations for increasing the activity of students’ participation in this activity. Methodology and research methods. The authors used iterative examination, analysis, comparison, synthesis, and systematisation methods to analyse the results obtained through empirical methods such as questionnaires and sociological surveys. Data collection was conducted through an online survey using the Google Forms Internet service and offline surveys at 16 universities in the Republic of Kazakhstan and the Russian Federation in 2023. A total of 351 scientific experts participated in the survey. The survey results were processed using the IBM SPSS statistical package. Results and scientific novelty. It has been established that a significant contribution to attracting students to research activities is made by the expansion of the use of information technologies in the research process and a system of incentives aimed at increasing the importance of students’ research work in the educational process. The scientific novelty lies in identifying and systematising the main factors that influence the activation of students’ research work in the learning process through the iterative examination process. Practical significance. The results of the conducted research can be used in the practical research work of university students.

Introduction. The era of the industrial revolution 4.0 is a challenge for administrators and lecturers in higher education. Changes and developments in technology and types of work occur quickly, forcing educational institutions to change according to these changes. Vocational higher education managed by the government has specificities in organising and managing their education. Aim. This research aims to determine the relationship and effect between organisational culture on leadership, between leadership on lecturer motivation, and between organisational culture on lecturer motivation in the institutions of Government Vocational Higher Education (GVHE). Methodology and research methods. This is explanatory research, with samples taken from lecturers of GVHEs and the information collected through the questionnaires. The partial least squares (PLS) method was used to measure relationships and effects between the variables, such as organisational culture on leadership, leadership on lecturer motivation, and organisational culture on lecturer motivation. Results and scientific novelty. The results showed that organisational culture and leadership had a significant relationship, and organisational culture had a moderate effect on leadership. Leadership has a significant relationship to lecturer motivation. Organisational culture has an insignificant relationship with lecturer motivation. However, organisational culture and leadership have a considerable influence on lecturer motivation. Practical significance. This research gives recommendations to leaders of GVHEs to adapt to the current challenge, be more flexible in their organisational culture, and have good leadership to improve the lecturer motivation, which impacts their performance.

Introduction. Today, there is no unified approach to understanding the main areas of digitalisation in education, its types, and elements. It is relevant to explore approaches to assess the state of digitalisation, reducing the subjectivity of assessments, and relying on objective data. Aim. The present research aimed to systematise and expand the areas subject to digitalisation in universities and to describe an algorithm for assessing the level of digitalisation using public information posted on university websites. Methodology and research methods. The main research methods involved morphological analysis, index, and matrix and score-rating methods. On the basis of the morphological matrix, the rating of a higher education institution was formed as an integral assessment, taking into account the weight values of its spheres. Results. The results of the research include the developed methodology for scoring and rating the assessment of the state of digitalisation in higher education institutions. This methodology encompasses four spheres of digitalisation: management and information security, organisation of the educational process, organisation of extracurricular activities, and profiling. Within these spheres, various types of digitalisation are identified, and elements are defined for each type. Higher education institutions in the Novosibirsk Region are ranked and grouped into clusters (six levels) based on the calculated integral assessment of their digitalisation level. Scientific novelty. The current research contributes to the development of a scientifically based approach to assessing the state of digitalisation in higher education institutions for comparative analysis using public information. The data obtained confirmed the necessity for further digital development to establish a comprehensive profile of a digital university. Practical significance. The practical significance of the results lies in the possibility of different groups of stakeholders (applicants, students, university management, and authorities) using the developed methodology to assess the state of university digitalisation and make various decisions, including managerial decisions.

Introduction. The paper presents a reconsideration of the foundations of the discipline of Science Studies, taking into account post-non-classical ideas about science. This approach positions Science Studies not only as a scientific field but also as an educational discipline aimed at novice researchers. Aim. The present research aimed to assess the current state of science as a scientific and educational discipline in the Russian and Euro-American scientific traditions. It also aimed to present the project of teaching the discipline of Science Studies as a rigorous science, encompassing both its fundamental and applied aspects, and utilising quantitative and qualitative research methods. Methodology and research methods. The synthesis of universal evolutionism approaches (including deterministic chaos concepts) and the methods of quantitative and qualitative content analysis were employed. Results. A quantitative analysis of the state of science in Russia was conducted. The analysis revealed an increase in the interest of Russian researchers in scientific issues. However, it also highlighted a lack of clear understanding of its disciplinary parameters. Scientific novelty and practical significance. It is proved that Science Studies can be a significant incentive for the growth of scientific knowledge in Russia. The work has led to an understanding of the role of epistemological (cognitive) and social mechanisms in the development of science.

Introduction. Educational psychology focuses on the psychological aspects of learning and teaching to optimise education by understanding how individuals develop skills and acquire knowledge in an educational context. Aim. The study aims to understand how educational psychology can help the effective management of medical-psycho-pedagogical centres (CMPPs) and to identify the links and synergies between the principles of educational psychology and the practice of managerial aspects within such centres. Research methodology and methods. The authors used a quantitative methodology based on a non-experimental correlational study. The sample included 100 CMPPs in the Ile-de-France region. The directors of these centres were invited to complete the questionnaire hosted on the Google Forms platform. The results were processed using IBM SPSS 29. Results and scientific novelty. Of the six relationships studied, the results revealed four significant relationships between the “psychology of education” variable and managerial aspects, namely team structure and management, quality and safety of care, patient data management and interprofessional cooperation. The above-mentioned relationships represent 80% of the significant relationships between educational psychology and managerial aspects. The scientific novelty of the research lies in examining the relationship between educational psychology and managerial dimensions, providing a clear vision of the essential role of educational psychology in the management of CMPPs. Practical significance. These results underline the importance for each country of integrating the principles of educational psychology into the development of their CMPPs. This is particularly crucial for Morocco, in alignment with the 2015–2030 strategic vision to establish these centres.

Introduction. Today higher education has become one of the spheres of active application of artificial intelligence (AI) systems capable of modelling human cognitive activity to solve various tasks. The possibility of independent application of AI tools by students and teachers has become a prerequisite for changing the model of educational process realisation. Aim. The study aimed to investigate the attitudes of teachers and students to the use of widely available artificial intelligence tools in education on the example of Tomsk State University (TSU). Methodology and research methods. The main research methods were sociological and statistical methods. A survey of students and teaching staff of TSU was conducted. The study sample was 1597 students and 250 teachers. To check statistically significant differences between subsamples by socio-demographic characteristics, the Pearson Chi-squared criterion was used, as well as the Z-test for comparing proportions (at a significance level of 95%, p < 0.05). A comparative analysis was carried out between the subsamples, as well as between the results obtained from students and teaching staff. Results. The results of the research showed that students are more likely than teachers to have a positive attitude towards AI tools. Teachers are more inclined to pay attention to the risks and negative factors that the integration of AI in education may entail. The respondents with experience in using AI are more positive about such tools in education. Undergraduate students are more optimistic about the prospects for the implementation and use of AI in higher education. Students who completed coursework assignments using AI-enabled tools noted that most of the time teachers did not notice it. Both teachers and students admit that AI tools can be used as information processing aides without compromising educational outcomes. Scientific novelty consists in identifying teaching staff and student attitudes towards AI tools in wide access: risks and opportunities of such tools in education. Practical significance. The data obtained and the results of the analysis allow recording a cross-section of the existing attitude of students and teaching staff to the opportunities for using artificial intelligence in higher education. It can become one of the bases for the development of principles and strategies for working with the subjects of the educational process on the possibilities of using new technologies with AI in their activities, in particular, through the creation of methodological recommendations, professional development courses for teaching staff, educational modules for students.