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The lack of sufficiently developed methodological basis before graduation adversely affects the mathematical competency of future experts that are required by the modern economy. The study aims to investigate the features of the development of a personalized model of teaching mathematics by means of interactive novels to improve the quality of educational results. The main methods of research were the generalization of pedagogical experience and science literature, modelling, observation, analysis of results in AXMA Story Research methods. The chosen methods made it possible to justify the necessity of using interactive novels to personalize teaching mathematics and to confirm the qualitative improvements in the pedagogical system. Fisher's criterion was used to evaluate the results. 121 schoolchildren from Russian and Uzbek schools participated in the experiment. Individual educational routes supporting the studying of mathematical theory, problem solving in the interactive space AXMA Story Maker were developed. The peculiarities to be considered when designing a personalized model of mathematics learning by means of interactive novelties were formulated. These are the correlation between the didactic goal and the result of educational and research work in a nonlinear environment, the selection of the plot for a visual novel, the elaboration of the text component and the personalized learning track, etc. According to ANCOVA test results, the post-score of the experimental group is statistically higher than the control group. The results of the article can be used to develop ideas for personalising of learning in the digital school, as well as justification for the need for inclusion of digital interactive tools in mathematics education at all levels of education and training.

The problem to be solved by the research is due to the need to prepare a graduate capable of creative thinking, working in a team, managing changes, projects, teams of people within the modern educational environment, and insufficient degree of development of the methodological base for training specialists of the future that meets these requirements. The aim of the study is to theoretically substantiate and experimentally test effectiveness of using virtual walls for formation of group creative thinking, as an important skill that corresponds to conditions of uncertainty of the future. The research methodology is the analysis and generalization of scientific works on the problem of determining the essence of group creative thinking, the virtual wall, clarifying requirements for training of highly qualified specialists of the future. Methods of group interactive learning (demonstration in the distant form of interaction, online discussion, defense of projects, and work on a virtual team wall) are used to enhance cognition, create favorable conditions for creativity when working in a team. The Trello service is a software tool for supporting online collaboration and group creative discovery. The pedagogical experiment is presented on the example of assessing changes in the levels of skills that constitute the essence of group creative thinking. Research results. The work clarifies the essence of the concept "group creative thinking" and describes the directions of group work on a virtual wall, which is most effective when forming it. The authors formulated the conditions under which the group activity on a virtual wall contributes to formation of group creative thinking: awareness of the meaning and motives of activity; the need for self-expression, active participation in the discussion, etc. Specific materials are proposed to improve the quality of education by means of supporting students' group activities, focused on their creative development and preparation for future professional activities. In the conclusion findings that confirm the inclusion of group activities on a virtual team wall in the training of specialists of the future contributes to formation of skills and abilities that make up the essence of group creative thinking are given.

The research is relevant as educational computer games are included in students' mathematical activity and form additional opportunities to improve the quality of teaching mathematics in a digital school, to support the formation of the demanded professional competence - computational thinking. To form the appropriate skills that determine the essence of special computational thinking, the authors propose to include game educational spaces based on digital gamification resources into students' mathematical activities. The research aims to resolve the contradiction between requirements of the modern economy for specialists' high level of computational thinking and an insufficiently developed methodological base for training graduates that meets these requirements. The purpose of this research is to study the features of using gamification technologies in teaching mathematics to form the skills and abilities that make up the essence of computational thinking. The article describes directions of educational and cognitive mathematical activity based on the principles of gamification. The authors clarify the concept of "computational thinking", which includes a system of actions for activating patterns, connections between them from human memory, and compile an effective algorithm for solving them: to obtain relevant information on advanced technological developments; to state the problem and model; to use a software product with mathematical content.

The problem that the given paper aims to solve is associated with the need to resolve the contradiction between the requirements of the digital economy for a high level of computational thinking of specialists of the future and an insufficiently developed methodological base for training graduates that meets these requirements. The purpose of the research is to theoretically prove and experimentally verify the need for the use of gamification technology in training of specialists of the future to form computational thinking skills which are most in demand in the digital society. The research methodology includes the analysis and generalization of scientific works on the problem of determining the phenomenon of computational thinking, the use of digital gamification resources in training, and clarifying the requirements for training of highly qualified specialists of the future. The HTML 5 language was used as a software tool. The pedagogical experiment is presented on the example of the assessment of changes in the levels of skills that make up the essence of computational thinking. Results: The paper clarifies the concept of computational thinking and describes the directions of educational and cognitive activity based on the gamification principles which most effectively form computational thinking. The authors formulate didactic principles for the inclusion of computer games to foster students' cognitive activity, support professional self-determination, and develop systematic and critical thinking. Specific materials are proposed to improve the methods, tools, and organizational forms of the training focused on the formation of computational thinking as the basis for the supra-professional skills of specialists of the future. In the end, conclusions are made which confirm that the included educational and cognitive activities on game designing in the training of highly qualified specialists of the future fosters the formation of computational thinking skills.

The problem of the research is urgent due to the need to develop a special style of thinking. This type is based on problem cognitive activity, focused on lean production, resource conservation, and supported by an automated system that provides resources for solving socioeconomic problems in the conditions of the fourth industrial revolution and the digital economy formation. The purpose of the research is to theoretically prove and experimentally verify the need to change methods, tools, organizational forms of teaching robotics for the purposeful development of environmental thinking and lean manufacturing as the demanded competencies of future specialists in the context of digital transformation. The research methodology is the analysis of psychological and pedagogical work, development strategies, concepts of education; methods of mathematical statistics, methods of psychodiagnostics and survey. The pedagogical experiment is based on the example of assessing the ecological thinking formation and the energy conservation skill in teaching robotics to train engineering, technical and management specialists. The research results. The study clarifies the concepts "environmental thinking", "lean production", and "environmental competence" in the context of training specialists for the digital economy, in particular, engineering and technology. The study substantiates the didactic potential of a robotics course for the formation of environmental thinking as a demanded skill of future engineers. The authors describe didactic principles, a model for teaching robotics in a personalized environment for the formation of environmental thinking as the basis for the introduction of innovations and the challenges of automation, globalization and competitiveness. The authors conclude that a robotics course with specially organized interdisciplinary design forms of activity supported by appropriate means and training methods is necessary. It will create additional conditions for the formation of environmental thinking and lean production skills as key professional competencies in the training of demanded specialists in the digital economy.

The study is aimed at solving a problem generated by the necessity to change the organizational forms of digital learning to prepare graduates who meet the requirements of today's labor market; who are equipped with teamwork skills and skills of project-management under uncertainty which are especially relevant nowadays. The purpose of the study is to provide a theoretical foundation for and experimentally verify the effectiveness of involving students in project teamwork on designing smart applications by means of modern digital technologies; project teamwork activities allow developing the skills and abilities characteristic of a strong research culture necessary for making future discoveries in science and technology. The research methods are the analysis and generalization of psychological and pedagogical literature, of development strategies and education theories; mathematical methods of statistics, psychodiagnostics and survey methods. The pedagogical experiment is illustrated by the example of assessing the development of teamwork skills, project management skills, and programming skills which form the basis for professional self-realization of graduates. The study results. The study specifies the concepts of the ability to work in a team and smart application in the context of training professionals for digital economy. The didactic potential of project team work in the sphere of self-realization of graduates is described. The authors reveal the characteristics, principles, and stages of team work on the project aimed at designing a smart application. They offer their recommendations regarding the process of planning and organizing team activities, specifying the skills and abilities necessary to help a person succeed in today's digital society and to get a profession which is in demand on the labor market. The authors draw a conclusion that project teamwork meets the requirements of digital education and contributes to successful professional self-realization of university graduates if it is well designed, accurately planned, and monitored by the educator to the extent necessary.

The relevance of the research is due to additional opportunities to improve the quality of teaching mathematics in a digital school, support professional orientation and self-determination of young people through the inclusion of mobile services and platforms in mathematical activities. The research problem is determined by the following contradictions: 1) between the capabilities of modern digital technologies in terms of improving the quality of mathematical training, the formation of universal skills required by the economy of the future, and the model implemented by educational institutions; 2) between the need to provide resources for solving problems of a socio-economic nature in the conditions of the fourth industrial revolution and the insufficient level of mathematical literacy of graduates. The purpose of this research is to study the didactic potential of mobile technologies to support mathematical education in a digital school while preparing specialists of the future. Moreover, the research offers a methodological approach to organize project activities of developing applications in terms of increasing the effectiveness of teaching mathematics and vocational guidance. The article clarifies the concepts "mathematical thinking", "mathematical literacy" for a digital school and describes the didactic principles of incorporating mobile resources into the educational space which increase the efficiency of training engineers of the future, support vocational guidance and self-determination. The author offers methodological methods and recommendations for organizing creative interdisciplinary project activities in order to develop mobile applications that contribute to the formation of qualities and skills forming the basis of mathematical thinking. The materials of the article can be used: firstly, to ensure the personalization of mathematical training in the course of creative, interdisciplinary, cognitive research activities of students while developing mobile applications, social integration and vocational guidance; secondly, to change the concept of mathematical education at school; thirdly, to improve the implemented model of education based on the traditional trajectory "preschool education-school-university-additional education" in the context of the new requirements of business, society, and the state for the training of highly qualified professionals in the professions of the future.

The problem that the study is aimed at is due to the need to change forms and methods of professional self-determination support for students in the digital society in order to prepare them for obtaining the specialization that is in demand and for the formation of the ability "to be able to learn" throughout the life. The purpose of the study is to theoretically justify and experimentally verify the effectiveness of the use of digital technologies for professional self-determination support for students in the modern educational space. The research methodology consists of the theoretical analysis of foreign and domestic approaches to career guidance, the comparison of digital resources for navigating professions of the future, the differential diagnostic questionnaire, additional questionnaires, methods of mathematical statistics, and the student self-assessment method. The pedagogical experiment was carried out in two directions: the qualitative assessment of changes in students' professional preferences and the analysis of the results of career guidance activities supported by digital technologies, regarding the development of personal qualities in demand. The results of the study. The necessity of taking into account the organization of career guidance activities in two directions is justified: informing students about the professions in demand, the needs and priorities of the digital society, as well as the formation of the competence of professional self-determination. The potential of digital technologies for each of the selected areas is described. The authors developed the virtual assistant model to implement the identified didactic possibilities. The system of work with the virtual assistant is presented for professional self-determination support for students and for building the personal development path. In conclusion the summary is given, confirming that the use of the virtual assistant in career guidance in the digital school will increase the effectiveness of preparing students for the conscious choice of the future profession in demand, the formation of cognitive abilities that form the basis of the ability "to be able to learn".

The problem of the research is due to the need to realize the didactic and interdisciplinary potential of mobile applications which are able to support the quest technology. Teachers have to understand peculiarities of organizing such a game form of activity in a digital school. The purpose of the study is to theoretically prove and experimentally test the effectiveness of using mobile game applications in the "quest" genre in order to form necessary competencies of future specialists in a digital school environment. The research methodology is the analysis and synthesis of psychological and pedagogical work, methods of mathematical statistics, and methods of psychodiagnostics. The pedagogical experiment of the study is the assessment of the formation of basic competences which provide the base in the field of computer science, cybernetics and artificial intelligence required by the state and society. Results of the study. The study proves the didactic potential of mobile applications which are able to support the quest technology in order to achieve high-priority objectives in the project "Digital School". The authors describe ideas of the methodical approach, which reflect the necessary changes in the support of students' cognitive activity through mobile game applications in the quest genre. The study shows levels of differentiation of education depending on the individual and age characteristics of students and the choice of digital means. The authors prove that the "quest" technology, focused work to solve education tasks, motivates future professional activities, and also with the help of modern digital means, contributes to the development of such necessary cross-professional competencies of future specialists as project activities, systems thinking, interaction and interindustry communication. In conclusion, the authors confirm that the inclusion of mobile game applications in the "quest" genre in education activities will help to form key competencies and skills that meet the priorities of the digital school and are most in demand by society.

The research is devoted to the actual problem of upgrading the existing model of robotics training in connection with the urgent need for implementing a strategy for training highly qualified specialists in the most demanded and promising sectors of the future, taking into account the requirements of business, society, and the State. The aim of the study is to theoretically justify and experimentally test the effectiveness of the task approach in teaching robotics to form the required cross-professional competencies of the future. The methodology of the study is based on the analysis of psychological, pedagogical, methodological scientific literature, Rapid Foresight methodology, system analysis, generalization of teaching experience, pedagogical experiment. Results: First, the didactic and interdisciplinary potential of the robotics course is studied. Secondly, specific content for key cross-professional competences in the field of robotics and engineering is proposed. Thirdly, the basic ideas of the methodology for improving the existing system with a focus on the formation of key cross-professional competencies, the core of which is the system of tasks, are formulated. Fourthly, the effectiveness of the changed methodology of the training course to improve the quality of the educational process is confirmed. In conclusion, findings that confirm that the improvement of the course of robotics will provide to obtain a useful skill -- to be able to learn, to be prepared for the professions of the future are drawn.

The professional motivation and interest of the teacher in the students' educational results are the key resources that allow educational institutions to minimize the existing inequality of educational opportunities for members of different social groups. On this point, one of the important issues of professional training of future teachers is the formation of motivation for their professional activity regarded as a factor that ensures the equality of educational opportunities for students from different social groups. Based on the results of empirical studies of different years, the article analyzes the changes that occurred in the professional motivation of students after the Ussuriysk State Pedagogical Institute joined the Far Eastern Federal University (FEFU) in 2011 as the School of Education. The use of the same measuring instruments made it possible to conduct a comparative analysis of the professional motivation of students in different periods. [ABSTRACT FROM AUTHOR]