Tatyana Polyakova

One of the features of the current stage in the development of the information society is intensive digitalization, the emergence of which is due to the improvement, evolution of new information and communication technologies (ICT), and the growth of digital technologies of the fourth industrial revolution (or Industry 4.0). In this regard, "digitalization" is one of the factors in the transformation of national engineering education. The article gives an analysis of the importance of an interdisciplinary approach to the modern training of future specialists in engineering and technology areas. It justifies the importance of mutual integration of knowledge at the level of ICT and fundamental engineering sciences on the example of integrating the disciplines "Computer Science" and "Mathematics" through information and mathematical modeling as well. The purpose of the research is to identify the impact of digitalization on the theoretical and methodological foundations of an interdisciplinary approach in national engineering education. The authors used the general scientific dialectical method, theoretical and methodological analysis and generalization of the content of mathematical, informational, pedagogical, methodological, scientific and technical literature in the field of foreign and national engineering education. Based on the results of the study, the concept of an integrated learning task in mathematics and computer science was proposed, which is based on a content and activity-oriented approach to information-mathematical modeling; the typology of integrated learning tasks in computer science and mathematics was identified and substantiated in accordance with the types of professional activity of specialists in engineering and technology. The significance and role of information-mathematical modeling as one of the basic (fundamental) methods for solving integrated learning tasks is shown. The need for the development of an interdisciplinary approach to the training of future engineers in the digital economy of Russia has been identified.

A modern highly qualified engineer must have an up-to-date set of digital competences that are essential for a successful professional career in the digital era. One of the characteristic features of digitization is the integration of sciences, which is especially evident in the use of digital technologies. In this regard, it is necessary to develop the digital competences of students, using the didactic potential of intersubject integration carried out in the process of information and mathematical training of engineers. The purpose of the work is to study the implementation of information and mathematical training of students from technical universities under the conditions of the globalization of Industry 4.0. The article analyzes the contextual competence-oriented and CDIO approaches in organizing the educational process at a technical university. The novelty of this research: the scientific and methodological apparatus for enhancing the student's activity in solving practice-oriented problems of interdisciplinary content has been expanded by including the optimizing tasks of "contextual" content in the learning process. The authors consider the activity of solving the optimizing tasks of "contextual" content as one of the conditions for the development of digital skills for a student of a technical university. The conducted theoretical analysis of research works on the topic made it possible to highlight the didactic opportunities of the optimizing tasks of "contextual" content and to highlight the digital technologies used to solve them. The article provides a methodology for the development of digital competences of future engineers worked out by the authors through a system of optimization tasks of "contextual" content. This study initiates possible prospects for further research on the development of digital competences for future engineers. The variant of the typology of the optimizing tasks of "contextual" content presented by the authors should be recommended to a wide range of teaching staff of information and mathematical departments of technical universities for using in scientific, methodological and practical work.

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 paper analyzes the textbooks used at Mathematics lessons at technical universities to reveal problems and exercises of applied nature. The analyses is implemented on the example of the section "Definite integral and its applications". The authors singles out the main types of tasks that, according to the authors, should be included in textbooks and problem books on mathematics, aimed at students of technical specialties.

The paper considers the question of influence of applied orientation of stochastics training on the formation and development of probabilistic thinking and probabilistic and statistical representations of pupils. The authors present analysis of the survey results at senior level of formation of representations about the application potential of mathematics in terms of the use of mathematical ideas and methods in the field of future professional interests of graduates of high school non-mathematical sections.