№ 03 (March)

The article analyzes some issues of the integration of mathematics and computer science (programming) within the framework of specialized session limited time. The relevance of the considered problem of mathematics and computer science integration in the context of the Olympiad training of schoolchildren in the context of specialized sessions is justified, first of all, by the fact that the subject content of the two courses under consideration often permeates each other, especially if we mean some overlapping sections – discrete mathematics, combinatorial analysis, algorithms theory, number theory, graph theory. In this connection, the success of mastering any of these subjects often correlates with good academic results in another area. The practice shows that there is often a parallel study of mathematics and computer science, simultaneous participation in Olympiads in both subjects. The traditional training system that has developed in some recognized centers for Olympiad training is not always aimed at a close and thoughtful integration of these subjects. The article proposes a formal generalized model of the competence training system within the educational program “Mathematics. Data Analysis ". The structure of the educational program «Mathematics. Data Analysis» includes three modules: «Olympiad Mathematics. Application", "Workshop on Solving Olympiad Tasks", "Special Courses in Programming and Olympiad Mathematics". The theoretical significance of the article lies in the proposed formal generalized model of the system of competence training within the educational program “Mathematics. Data analysis”, which can also be used in programs of a similar orientation, implementing interdisciplinary communications, primarily in mathematics and computer science, with an emphasis on the application of the acquired competences in the digital economy. The practical significance of the research is the presentation and analysis of the relationship between the subjects of classes and the modules of the program, examples of practical tasks that implement this relationship.

The article presents the experience and methods of practical activity of developing the communicative culture of management students as part of the author's integrated course "Bridge to Understanding". The relevance of the topic is determined by the need to strengthen interdisciplinary integration in the educational process, focused on the development of a sufficient level of students' communicative culture at the stage of their preparation for professional activity. The increased interest in the communicative side of education and the need to develop a communicative culture in higher education is explained by the fact that Russian specialists, in particular in the field of management, experience significant difficulties in professional (business) communication. In this regard, we consider the communicative culture as one of the important conditions for the effective professional activity of a manager and an indicator of the competency in his professional self-development. This problem can be solved by integrating the general professional disciplines of "Management" area of training and a foreign language with the help of a complex of modern pedagogical technologies and forms of training that form the basis of the integrated course and which are analyzed in this paper. The purpose of the article is to confirm the effectiveness of the practical application of the author's integrated course in a foreign language "Bridge to Understanding", developed on the basis of interdisciplinary integration. The leading methods of research of the problem are: diagnostic methods (questionnaire, testing, conversation, survey, interview); observational methods (observation, registering of learning and development results); generalization of advanced pedagogical experience of teaching and our own experience of teaching activities, development of educational materials; methods of statistical processing of results; implementation of research results in pedagogical practice. Several approaches were applied to the development of communicative culture: the cultural approach, the communicative activity-oriented approach, the personality-oriented approach, and the integrative approach. According to the results of the study, it was found that the system of tasks of an interdisciplinary nature, which makes the basis of the author's integrated course, allows us to use speech activity in order to effectively manage the processes of business communication. The theoretical significance of the work lies in the complex systematization of educational and methodological, special literature devoted to the problem of research. The practical value of the work lies in the application of a system of tasks of an interdisciplinary nature, specially selected forms of organizing classes, as well as diagnostic tools according to the tasks of "Management" area of training in the real practice of the university.

The task of forming economic competence is important for education majors primarily due to the high social responsibility of teachers. Successful effective professional activity of a teacher is possible when combining personal values in economic relations with social ones, which is reflected in the results of educational activities. The relevance of the problem under study is due to the need to form new approaches to the development of economic competence of students in the context of an intensive transformation of economic relations concerning social spheres. The purpose of the study is to develop a model for the formation of the economic competence of education majors – future teachers. The analysis of the study was made on the basis of a universal model of economic competence formation among university students, proposed by G.M. Morozova, including theoretical research of her dissertation and articles, and the works of other scientists. The scientific articles on the formation of the economic competence among pedagogical students made up the material for the study. Research methods: generalization, analysis and synthesis of information, comparison. The leading method of researching the problem involves modeling based on a didactic approach to teaching Economics to non-Economics majors. The main results of the study allowed us to conclude that the universal model of the economic competence formation among university students proposed in the dissertation by G.M.Morozova is suitable as a structural model for the formation of the economic competence among education majors, allowing to save time and educational resources in the implementation of structural ties in models that are discussed in detail in this article. In this regard, there is reason to believe that the model is open for flexible adjustment according to changing conditions, forms and methods of education, which can also be assumed in relation to similar models for other specialties. The theoretical significance of the study is reflected in the visualization of the main universal provisions of the dissertation by G.M. Morozova in the formation of the economic competence of university students, presented in the form of a structural diagram. Accordingly, the practical significance of the study indicates the flexibility of the presented scheme-model, according to the authors of the study, open for changes in various areas of education.

Listening is one of the key points in learning a foreign language along with writing, reading and speaking. All types of speech activity are interconnected and relevant at any level of language proficiency, for any goals and objectives. Analysis of domestic and foreign literature shows a consistently high interest of both theorists and practitioners of teaching methodology in the development of listening skills in learning a foreign language at different levels for various purposes, identifying the most problematic issues and ways to solve them, as well as using methods and techniques of related sciences for a deeper understanding of the essence of listening. The purpose of the study is to update the most effective (from the author's point of view) techniques for working with audio material at different stages of teaching a foreign language. The purpose of the work determined the research methods: general scientific methods of analysis and synthesis, generalization and systematization. The method of pedagogical observation can be considered as a more specific method. In the practical part of the study, techniques for enhancing and improving listening skills are described. So, among the effective techniques, the authors distinguish: a) echo-repetition (prepared and spontaneous), used to work with intonation contours, the tempo of speech and its recognition; b) using graphs, maps, diagrams, tables and other visual support; c) work with the listening diary (variability is achieved due to the diversity of genres, as well as the freedom of choice and reporting forms provided to the student); d) creating context (for example, parallel texts) as preparation for listening; e) use of video materials (for example, work with video without sound, without an image, work with a freeze frame, mixed fragments, etc.). These techniques were successfully tested at the Faculty of Linguistics and Translation of the Chelyabinsk State University in the period from 2017 to 2020. The practical significance of the work lies in the actualization of productive listening techniques. The described techniques can be adapted to almost any level of proficiency in any foreign language. The conclusions summarize the information and outline the prospects for further research.

The relevance of the research lies in the need for primary school teachers in the interaction between school and family in order to educate primary school students to have a conscious and responsible attitude to learning. The purpose of the work is to create and subsequently empirically test the system of interaction between family and school developed by the authors for cultivating a conscious attitude to learning in primary school students, as well as to identify the components of this system. The sources that served as the basis for examining the problem of the relationship between school and family in the aspect of cultivating consciousness in primary school students include scientific works on the methodology of psychological and pedagogical research. The basis for the development of the above mentioned system also became the provisions developed by modern psychologists and educators, in which the conscious attitude to learning as a component of human relations is defined as the dominant aspect of the student's personality formation, which is of particular importance in primary school, since learning is the leading activity during this period. The theoretical significance of the study is determined by the fact that the substantive characteristics of the interaction between school and family in cultivating a conscious attitude towards learning are clarified in the study, they concretize scientific knowledge about the essence, content and mechanisms of a conscious attitude towards learning in primary school students. The practical significance of the research lies in the fact that the authors define the main directions of activity in the interaction between the family and the school, contributing to the development of a conscious attitude among schoolchildren; develop a system of interaction between school and family to create the necessary environment for primary school students in cultivating a conscious attitude to learning; present the ways that contribute to the cultivation of a conscious attitude to learning, manifestation of interest in the learning process; determine the levels of assessing this personality quality, and present their characteristics. This scientific article examines the processes of cultivating a conscious attitude to learning in primary school children as a result of the interaction between family and school on the basis of a developed system containing the following structural elements: methodological, target, content, organizational and activity-oriented, as well as evaluative. The specified system of interaction between family and school in cultivating a conscious and responsible attitude to the learning process in schoolchildren can be recommended for use by primary school teachers to optimize educational activities in order to foster a conscious attitude towards learning in primary school children, as well as to implement effective interaction between school and family with this same purpose.

In the context of the digital civilization challenges of modern labor market, in particular Industry 4.0, the problem of formation and development of digital competencies for modern engineering specialists becomes rather urgent. The fundamental basis of almost any digital technology is a synthesis of the opportunities and achievements of such sciences as Computer Science and Mathematics. In order for the future professional activity of an engineer to be successful, it is necessary to develop the digital competences of students, using the didactic potential of interdisciplinary integration, which is implemented in the process of information and mathematical training of engineers. The purpose of the study: search for possible optimal ways to implement information and mathematical training for future engineers in universities for Industry 4.0. The contextual-competence and CDIO approaches in the organization of the educational process are analyzed in the article. The novelty of this research: it determines the content of digital competences of a future engineer in the context of information and mathematical modeling application for solving practice-oriented problems of interdisciplinary character. The authors consider information and mathematical modeling as one of the factors for the effective development of digital skills of technical university students on the example of organizing their independent work. The theoretical analysis of research on the topic made it possible to highlight the didactic opportunities of information and mathematical modeling in the digital educational environment. The article presents the author's method of using information and mathematical modeling tools for the development of digital competences of future engineers, necessary in Industry 4.0. in the context of digital transformation of professional engineering education. This study opens up prospects for continuing research on the development of digital competences of future engineers. The interpretation of the opportunities for integrating Computer Science and Mathematics given by the authors can be recommended to a wide range of teaching staff at Computer Science and Mathematics departments of technical universities for the use in their work.

The pedagogical community contemplates the dynamism of changes in the educational environment. Pedagogical activity is changing. This is due to the impact of new technological conditions and situations of social interaction. There is a need for teachers to use virtual educational environments. The factors that influence the development and growing interest in gamification in education are: pedagogical potential of games, interest in technology, a certain connection between the game process and the learning process, the ideas of developing cognitive interest as a motivation for learning and the possible coordination of various resources with the educational process. The educational policy of developed countries is based on educational analytics, which makes it possible, using data sets, to process pedagogical information and introduce new innovative teaching technologies into the educational process to increase the efficiency of the education system. The relevance of the topic is associated with the need to expand the practice of innovative pedagogical teaching technologies, which is determined by the requirements of industry, scientific and technological progress and social relations. The vocational education system, changing the formats of educational programs, expands the didactic potential using new pedagogical technologies: gamification, robotic platforms and artificial intelligence in teaching. International experience testifies to the significant use of gaming technologies in the practice of teaching in various areas: socio-economic, natural science, IT areas and others. Russian educational practices, while modernizing the education system, also use gaming technologies in non-gaming processes in order to increase the motivation and involvement of users of educational services. The purpose of the work is to identify the pedagogical potential of using software and platforms with gamification technologies in the vocational education system using the example of the Novosibirsk Medical College. The theoretical significance of the article is in justification of using gaming technologies and massive open online courses (MOOCs) for secondary vocational education. It is recommended to use MOOC platforms with multimedia and gamified content for disciplines of the natural science cycle, integrating them into the educational process.

Recently, the activities of educational organizations and their directors are increasingly influenced by external and internal factors, which creates uncertainty regarding attainability of the set educational objectives. The growth in the number of initiated educational projects and programs enhances the negative level of influence of already existing factors on the effectiveness of the educational organization. Risk management is an iterative process that helps protect the values of educational institutions, make optimal decisions and improve effectiveness of work. The low level of organizations’ project maturity in the education system today has not made it possible to develop an adapted system of coordinated actions for the management of an educational organization in the field of risk. However, when launching an educational project or program, there are successful risk management practices that require theoretical understanding. In this regard, consideration of the principles and structure of risk management in educational systems is of particular importance and relevance. Accordingly, the purpose of the article is to describe the principles and structure of risk management in educational projects and programs. The leading approach in this case is the systemic activity-oriented approach, which ensures the organization of an integral process of risk management in educational systems, increasing the productivity of the process and supporting the achievement of the goals of the project and program. As a result of the study, the authors of the article highlight the principles and structure of risk management in educational projects and programs that form eight characteristics of effective risk management and five components of the risk management structure. The theoretical significance of the article is due to the contribution to the development of scientific ideas about risk management in educational projects and programs. Practical use of the research results makes it possible to build more effective work on risk management in educational projects and programs.

The relevance of our research is due to the introduction of the new federal standard for capital expenditures accounting (Federal Standard for Accounting 26/2020 “Capital investments”). The purpose of the work is to study the accounting techniques and methods presented in the standard, as well as to make known information on the organization's capital investments associated with the acquisition of fixed assets in the financial statements. As a result of the study, the authors made a comparative analysis of the main changes in the accounting of capital investments introduced by Federal Standard for Accounting 26/2020 “Capital investments”, and revealed problems caused by the transition to accounting for capital investments according to the new standard.

In modern economic conditions, the effective use of the resource potential of the agricultural sector is significant and important for the development of agricultural production. The aim of the work is to study the resource potential of the agricultural production development in the Bryansk region. The authors make an analysis of the main elements of the resource potential: land resources, fixed assets, labor resources, and discuss the dynamics of changes in areas under crops, the structure of agricultural land. The dynamics of changes in investments in fixed assets of agricultural sector has been studied. Indicators of capital flow, quality condition and efficiency of agricultural fixed assets use have been determined.