Annotation: The article is devoted to the issue of increasing the degree of involvement in the educational process of students studying with the use of distance learning technologies. Student engagement is a combination of efforts aimed at achieving positive learning outcomes, ensuring a high level of academic achievement, as well as willingness to apply the knowledge gained in real life. The aim of the work is to study the factors influencing student engagement, as well as the possibilities of stimulating it by a teacher in a distance learning environment. Students’ engagement in learning includes cognitive, emotional and behavioral manifestations. The analysis of literary sources allowed us to identify a number of indicators, as well as factors of student involvement in the educational process. The latter include academic motivation, a sense of belonging to the student community, the ability to self-organize in an electronic information and educational environment, interaction with other students, as well as interaction with teachers. The article presents pedagogical techniques that allow to stimulate the engagement of students in learning organized with the use of distance learning technologies. The results of the study can be used to improve the training organized with the use of distance learning technologies.

Annotation: A rapidly changing educational environment demands a constant search for new sources of information and educational technologies from a foreign language teacher. The widespread use of online resources contributes to the optimization of language education. It also makes the forming of students’ foreign language communicative competence more flexible and creative. The article examines the didactic potential of Internet resources for teaching a foreign language to university students of non-linguistic majors. The authors reviewed modern research on the use Internet resources in language education. They also describe the main features of the main kinds of Internet resources. The authors pay special attention to the criteria for selecting Internet resources for educational purposes. Besides, an in-depth analysis of the advantages of using Internet content in the educational process has been carried out. The practical significance of the research lies in the description of the experience of integrating Internet resources into the training course “English for Specific Purposes” taught to master’s students of Minin Nizhny Novgorod State Pedagogical University majored in Pedagogics, training profile “Mechatronics and Robotics”.

Annotation: The digitalization of society, as well as the rapid progress in the field of information technology and artificial intelligence, make new and increased demands on the field of education. Global trends in the modern educational process point to the huge role and importance of distance learning, especially in technical specialties. The research is devoted to topical issues of the development of cognitive technology of personalized professional technical distance learning using a unified artificial immune system. The proposed technology uses not classical artificial intelligence algorithms, but modified algorithms based on clonal selection, negative selection and immune networks. Unification is aimed at reducing the diversity of modified algorithms in order to identify the most effective for a particular data set. The proposed technology makes it possible to take into account the cognitive and physiological characteristics of the student when developing a learning trajectory in order to obtain a highquality technical education. The main stages of the functioning of remote cognitive technology are considered. The results of experiments obtained on the basis of the Kazakh-British Technical University with the participation of students of the Faculty of Information Technology are presented.

Annotation: The article is devoted to the analysis of the possibilities of gaming technologies for teaching philosophy in universities. The authors substantiate the need to update educational technologies, taking into account the trends of edutainment, gamification of education, the totality of the game as a characteristic of human culture and the specifics of philosophical knowledge itself. The author consider quiz is as one of the innovative technologies that make it possible to implement a game approach, overcome dogmatism and extreme academicism in teaching philosophy. The article presents the results of testing this technology on the basis of Moscow Witte University and Yekaterinburg Academy of Contemporary Art. The quiz game tasks were developed by the authors with the help of digital tools such as Kahoot, Quizizz, Learnis and LearningApps. The authors come to the conclusion that in the context of the digitalization of higher education, the spread of distance and blended learning formats and the popularization of BYOD (Bring Your Own Device) approach, which does not prohibit, but encourages the intellectual partnership of students and gadgets, online quiz makes it possible to update philosophical knowledge in the Digital Natives environment, motivate students and emotionally involve them in the process of philosophizing, independent search, choice and creativity.

Annotation: The article is devoted to the consideration of methodological aspects of providing effective feedback in the process of accompanying students’ independent work. Feedback is defined as a necessary tool that improves the quality of students’ independent work. The main methodological principles of the implementation of feedback and its features in the conditions of the electronic information and educational environment are revealed. The necessity of rethinking the significance and functions of feedback to optimize this type of work is reasoned. The basic concepts that define the forms of feedback are systematized. The technique of forming feedback in the context of organizing and supporting the independent work of students is analyzed. The specific actions of a higher school teacher in the formation of a conscious attitude to the possibilities of feedback in the process of acquiring the experience of professional self-education by students are revealed. The formulated methodological principles are aimed at the application in the process of independent study of disciplines of expedient methods and forms of feedback that are adequate to their conceptually oriented content.

Annotation: The article describes the scientific and methodological aspects of creating an actual film story by students in the direction of “Film and television directing”. The aim of the work is to develop tools to support the attractor in the creative work of students. Based on the analysis of scientific sources and generalization of the director’s scripts of famous masters of the film industry, the criteria for evaluating creative works of students are highlighted. Methodological techniques for creating modern and demanded audiovisual products on the market are proposed. Using the example of modern film and video materials, it is explained how to choose the right topic, where to draw inspiration, what criteria should be taken into account in the work of students – future screenwriters and directors. Methodological recommendations for the creation of video products of various formats, including those focused on modern platforms, are formulated. The systematization of knowledge in the field of drama described in the article is aimed at improving the quality and validity of the assessment of creative student works.

Annotation: The article presents an original attempt at philosophical and methodological understanding and practical modeling of personal competencies of students of secondary and higher educational institutions of Russia with the help of a new socio-anthropological theory of 10 degrees of freedom, which was developed by the author. This theory of degrees of freedom is based on the evolutionary mechanism of the gradual ascent of an individual and a given society from basic survival conditions to the highest degrees of freedom-political, moral, religious, and creative. Applying this theoretical model to the modeling of the personal future of young people in post-Soviet society, we can argue that without achieving socio-economic independence, the pursuit of higher levels of freedom will be limited and even accidental. Above all, we are talking about political autonomy, which is largely intended to determine the perspective of the life of the individual and the entire society by means of the practical principle “from the personal benefit to the common good’’.

Annotation: The relevance of the practical importance of professional training of future teachers-psychologists to prevent family and child abuse is connected with the objective social factors occurring in society, as well as the factor of the need to form a positive model of child-parent relationships. The article presents a theoretical overview of the approaches and psychological and pedagogical technologies to prevent family and child dysfunction. The generalized practical experience of developing the content of professional education for teachers-psychologists is presented. The purpose and content components of psychological and pedagogical education by the example of training direction 44.03.02 Psychological and pedagogical education with a focus (profile) “Family Education”. A new practice-oriented approach to the integration of forms and technologies of work with families and children in the structural and content of the basic educational program is proposed. It is noted that an important aspect is the definition of professional competencies of future teachers-psychologists taking into account clear descriptors. The main methods of research are: analysis and synthesis of the obtained practical experience in Moscow Pedagogical State University, as well as pedagogical observation, pedagogical prediction. The results of the presented pedagogical research can be used in the development of basic educational programs of professional training of specialists working with families.

Annotation: The article describes the category of information units in terms of their application in complex domain models. The variety of tasks solved with the use of information units generates a variety of their types and groups. In the information modeling of the subject area, it is important to build a single complementary system of information units. In this regard, the generalization and systematization of ways of forming and presenting information units in complex models is relevant. The article describes the transformation of the category of information units with the development of information sciences and technologies of their practical application. The article provides an empirical systematics of information units. It is noted that the complementary system of information units, bound by the rules of syntax, sets the information language. Semantic information units that serve as the basis for the interpretation and transfer of knowledge are described. The examples show the directions of application of semantic information units depending on the nature of the object being modeled.

Annotation: This paper proposes a machine learning technique using game theory in the form of a hierarchical differencedifferential game of N+1 persons in a two-level decision-making system. The issues of machine learning based on nonlinear kernels are considered in relation to differential or difference-differential two-level cooperative games. It is proposed to use kernel proximity functions like Mercer kernels as potential learning functions at both levels of the differential hierarchical game. Due to the existence of a fixed point for this type of kernels, the learning algorithm will always converge to the solution of a differential hierarchical two-level game at the Nash equilibrium point. This makes it possible to obtain a sustainable learning algorithm. The paper shows that with the help of some nonlinear transformations of Mercer kernel functions of the radial basis type, it is possible to solve the classification problem for two classes using the method of potential functions. An example of applying the machine learning technique using the kernel approach and non-linear utility (preference functions) is shown. The results obtained can be used in the construction of mathematical models of hierarchical multilevel dynamical systems in order to study their properties.

Annotation: The article describes the properties of dichotomous division and dichotomous analysis, their systematization and generalization are carried out in relation to the study of heterogeneous objects. The logical rules that are used in dichotomous division, allowing structural optimization, are described. The article describes a comparative dichotomous analysis based on qualitative division and qualitative comparison. Dichotomous analysis is considered as a method aimed at generating new knowledge. An important property of dichotomous analysis is highlighted – the possibility of dividing objects of the information field up to elements or information units. Such a property, combined with the logical rules implemented for the reference dichotomies occurring in the scientific theories of the studied problem, is considered as the core of the analytical knowledge base. A functional structure of the knowledge base is proposed based on information modeling procedures, logical rules for reference dichotomies, and comparative dichotomous analysis procedures. The proposed structure of the analytical knowledge base is a comprehensive tool for the study of heterogeneous objects.

Annotation: The article reveals the features of system evolution and the transformation of the concept of emergence of complex systems. The principles of systems evolution are investigated. The characteristics of living systems are described from the standpoint of evolution. Models of evolving systems are described, their features such as recursion, aim variability, multi-purpose management, divisibility are highlighted. It is noted that structural modeling, latent analysis and the identification of implicit knowledge are important in the analysis of systems. It is shown that the evolution of systems can lead to the manifestation of emergence properties. The analysis of some points of view on the concept of emergence is given. The approach to the consideration of matter as a stratified entity that generates the emergence effect is analyzed. Intra-ordinary and trans-ordinary laws of the development and evolution of systems are analyzed. The systematization and generalization of scientific positions and points of view in the field of system evolution and emergence of complex systems is aimed at developing a methodological basis in this area of knowledge. This can become a platform for further scientific research.