ABSTRACT. The article focuses on a holistic retrospective analysis of the history of media education in Canada, which has been done for the first time. Based on the theoretical findings of Canadian media educators, the authors substantiate the periodization, identify the trends, the periodization criteria and three main periods of establishment and development of Canadian media education in the context of socio-political and socio-pedagogical determinants. The historical preconditions of the development of media education in Canada are revealed. The essence of media education is regarded as a theory study and development of practical skills for mastering modern mass media, which is considered as part of a specific, autonomous field of knowledge in pedagogical theory and practice. The authors determine that media education is associated with all types of media, which include the set of information and communication tools that each person interacts with in everyday life: printed (newspapers, magazines), auditive (radio, audio) and screen or audiovisual media (cinema, TV, video, multimedia, Internet, etc.); they identify the essential characteristics of media education, determine that media education is the form of media literacy and media culture of an individual; as well as they find out, characterize and systematize the gaps in media education in Canada. The article presents the evolution of media education programs, techniques as well as media education associations. In the context of studying the experience of Canadian media theorists and practitioners, the necessity of applying positive Canadian experience to solve the problems of implementing media education in Ukraine in terms of reforming and humanizing its educational space has been substantiated.

ABSTRACT. In the era of the information society, each of us is permanently influenced by a flurry of information that varies in content, quality, verifiability, motivational orientation. Therefore, the primary task is to create conditions for information security. One approach to solving this problem is media literacy education. This article discusses strategies to the introduction of media education in international organizations, analyzes the concepts of media education and media literacy in various aspects and examines the role of critical thinking in countering information aggression.

ABSTRACT. The generation of the competence education idea in Ukraine based on the EU benchmarks is studied. The authors state that the transformation of the national education into the competence base is a component of Ukraine’s European integration. The authors conclude that the Ukrainian education has gone from proclaiming the idea of the competence education, its conceptual justification to implementation. It is emphasized that the support of the competence idea at the level of educational policy is the most successful in Ukraine. At the same time, the implementation of the competence idea creates a number of challenges due to the novelty of a clear correlation between strategic, didactic and methodological levels. The problem of the formation of key competences, firstly of transversal or cross-curricular ones, remains underdeveloped; the aspects of cross-curricular links and integration of the education content requires further development; the level of assessing younger students in competencies is even more underdeveloped. The example of primary education concludes that the development of the competence education in Ukraine is a continuous process contributing to the synchronization with EU standards.

ABSTRACT. Language education is an important tool that forms the consciousness of the individual and its ability to be socially mobile in society, contributes to a dialogue of cultures in a globalizing world around solving various problems. New realities require changes in the definition of the level of knowledge of foreign languages, the new approaches definition to the selection of content and organization of materials, the use of adequate forms and types of control. Of particular relevance is multilingual education on the principle of Ukrainian + foreign in the light of Common-European polymeric trends, the integration of our state in the European educational space, the spread of student exchange practices and the openness of our country's educational system for foreign students. The spread of the foreign languages studying fits into the context of European directives, which recommend that Member States teach two other languages of the European Union in educational institutions, in addition to the state language. Multilingual education in Ukraine is an adequate answer to the question of linguistic and cultural diversification in Europe. An important feature of multilingual education in Ukraine is to take into account the regional needs of local ethnic communities, national characteristics and Common -European trends.

ABSTRACT. The article considers that at the present stage of development of a new Ukrainian school author secondary educational establishments play a special part, as their creators and pedagogical teams seek and indicate the ways of innovative educational development, define new goals, develop the content of education, substantiate and implement alternative educational technologies. The author school is presented as an experimental educational institution, which activity is based on a pedagogical concept developed by a single teacher or author team. It is noted that the author school as a unique educational system has gone a long way in its historical development. The first author school was named «School without walls» by G. Skovoroda, whose main goal was to teach people the science of happy life. The peculiarities of the educational process in the most famous author schools in Ukraine of the twentieth century have been analyzed. (The first T. Shevchenko Ukrainian Gymnasium by V. Durdukivskyi in Kyiv; Pavlyska school by V. Sukhomlynsky; Sakhnivska author «toloka»-school by O. Zakharenko; author experimental school-complex № 3 by M. Huzyk in the town of Yuzhnyi, Odesa region). The experience of the author schools of the period of independent Ukraine was studied and summarized (Saksagan Science-Lyceum – author creative school by A. Sologub; V.O.Sukhomlinsky Ukrainian College – author school of spiritual growth by V. Khayrulina; «Trivita» – Ukrainian author school by M. Chumarna; «Hearth» – author school of «dialogue of cultures» developed by V. Bibler together with I. Berland and S. Kurganov; «Millennium» – specialized school № 318 – author experimental school by. L. Porokh in Kyiv, etc.).

ABSTRACT. The activity and creative work of Ukrainian activist, writer, teacher Ivanna Blazhkevych (1886 - 1977) in the context of the development of pre-school education as a factor of strengthening the state have been thoroughly investigated in the article. The article thoroughly investigates the activity and creativity of Ukrainian activist, writer, pedagogue Ivanna Blazhkevych (1886-1977) in the context of pre-school education development. For the first time the periodization of her life path and development of pedagogical ideas. The basic directions of pedagogical and cultural-educational activity and creativity of I. Blazhkevych have been clarified: pre-school-pedagogical (organization of pre-school institutions; substantiation of methods of pre-school education; determination of requirements for kindergarteners-educators); educational (participation in the elimination of illiteracy), ethnographic (collection of ethnographic material: recording folk songs, legends, sayings); national-patriotic (preservation of national traditions, mother tongue); guardianship (assistance to local war victims, prisoners of war, establishing orphanages for children); economic (founding cooperatives; working as a director of the district union of cooperatives in Ternopil), literary (writing books for children).

ABSTRACT. The reform of the continuing teachers’ training system in Ukraine is meant to provide teachers with the opportunities for professional development and lifelong learning according to the requirements set by the State education policy, employers and key stakeholders. This implies creation of flexible competitive educational environment using mobile advanced training programs and modernization of content, forms, methods techniques of teaching. The authors present a set of andragogic and psychological assessment instruments to use for continuing teachers’ training, including feedback questionnaires, complex questionnaires, blitz polls, tests, selection of monitoring methods on teachers’ professional and lifelong development.

ABSTRACT. This article discusses some use of cloud technology in mathematical calculations using Remote Desktop Ulteo OVD. To use such technologies it is enough to have access to the Internet through a suitable browser to access an open virtual desktop on a powerful remote computer and then use the resources of the remote computer (server) to solve their problems in processing various information resources – solving mathematical problems, working out texts, translating from one language to another, help on the interpretation of different terms, their origin and more. You can organize access to Ulteo OVD from two servers (Application Server (Windows 2008R2) and Session Manager Server (Linux Ubuntu)), using the Proxmox web-based virtual environment. Gran1, Gran2D, Gran3D software can be installed on the application server. The article also examines in detail some examples of the use of the pedagogical software for educational purposes Gran1. In particular, the calculation of the approximate value of the double integral; graphical two-dimensional problem solving, the so-called linear programming problems; two-dimensional problems, including convex programming – finding the smallest value of a convex downward function (or the highest convexity of a function) on a convex set of inequalities (including linear ones). However, the use in the educational process of any technology, including modern information and communication, as well as the content of training, should be pedagogically balanced, which will allow to avoid any negative effects on the formation of personality of a future member of society, his mental and physical development.

ABSTRACT. Students in many countries have problems with learning of mathematics. Many students do not like mathematics. Teachers and parents are mostly aware that the style of teaching of mathematics and “the atmosphere” around mathematics are the main reasons for this state. For the society it is clear that something must be changed. Maybe methods of teaching, maybe the whole system? Copernicus Science Centre in Warsaw 18 years ago proposed the idea of Young Explorer's Club (YEC) as the environment where students can discover knowledge by making experiments. Learning by experimenting, by own activity of learners makes the whole educational process more interesting and less frustrating for students. This also applies to mathematics education. Experiences from mathematical Young Explorer's Clubs established at the Centre for Creative Mathematics Learning at the Faculty of Mathematics University of Bialystok as the possible way to more effective mathematics education will be presented in the paper. Experimenting and using functional strategy of teaching of mathematics is the basic form of activity in the Clubs.

ABSTRACT. I have been working on an educational project called Comparative Geometry for decades. It is based on teaching and learning plane and spherical geometry simultaneously, mainly through direct experimentation with hands-on tools and models, and intensive use of discussion between classmates. This work has gravely been affected by the changes caused by the pandemic, still causing emergencies in many areas of education. In the present article, I describe how I tried to adapt the work of university courses to the emergency; to make up direct experimentation and personal discussion that were not possible in distance teaching; to reduce the disadvantages and make use of possible advantages of the situation.

ABSTRACT. The paper deals with issues of the metric geometry basics. In particular, the concept of rectilinear placement of points is considered, based on the axioms of the distance between two points of metric space. This approach allows forming a modern view of the property of straightness in the pupils. This paper analyzes the content of existing mathematics textbooks for general educational institutions to acquaintance of pupils with the elements of metric geometry. The first part of the paper provides information about the rectilinear placement of points; it can be used in Geometry lessons in the 7th – 9th grades. Set of linear functions are considered as examples of points of metric space. The similar work was done in the second part of the work for geometric material of the 10th – 11th grades. In addition, some simple examples of metric spaces that may be accessible to pupils of the relevant classes are discussed. The purpose of the work is gradually introduction of pupils to the elements of non-Euclidean geometries, to form a generalized notion of the distance between the points and rectilinear of their placement. The work can be used for Mathematics teaching at school and for retraining of teachers of Mathematics

ABSTRACT. The article reveals the issue of the appropriateness of training future mathematics teachers to use the techniques of mnemonics in professional activities. This issue is caused by the intensification of the educational process, when the amount of information accumulated by mankind is many times greater than the amount of knowledge that can be learned by a particular person. It is established that in the process of teaching mathematics, mnemonics should be used as a way of perceiving new information due to the formation of associative connections using special methods and techniques. The expediency of training future mathematics teachers to use various methods of mnemonics (“Binding”, “Transformation”, “Amplification”) is substantiated. A positive attitude of mathematics teachers towards the use of mnemonics techniques was revealed, as well as a low level of students' understanding of the advisability of using mnemonics techniques in professional activities. The classification of software used to create visual models is presented. A training was developed and introduced into the practice of university education on the development of mnemonic techniques for the presentation of educational mathematical material. The prospects of scientific research through the development of methodological support for the training of future mathematics teachers to use the techniques of mnemonics in professional activities are determined.

ABSTRACT. The present article considers the issue of developing motivational and value-orientated readiness of Math students at teacher training universities for implementing educational innovations. The method, chosen for the present research is the analysis of the scientists’ viewpoints, on-line resources and reports regarding the issue of designing and using Rich Tasks when teaching Mathematics, methods and means for developing students’ motivation for implementing educational innovations. This paper describes the methods, aimed at developing in students motivation and ability to systematize, devise, use Rich Tasks in their professional activity and to combine them with other innovational learning methods and means. The analysis of the teacher training internship results and the surveys in the experimental group give ground to make a conclusion about efficiency of the methods offered.

ABSTRACT. The article deals with the issues of the content, assessment of the current state and the main tendencies in the development of the so-called “soft skills”. At present soft skills are essential to have good job opportunities and university curriculum should be focused on developing and mastering them. The article analyses the results of the research of the soft skills development among post graduate students majoring in Professional Education of Alfred Nobel University, Dnipro. These data prove that postgraduate students realize the importance of mastering soft skills to make a successful career. Moreover, innovative teaching methods and techniques aimed at mastering soft skills are to be introduced into the educational process.

ABSTRACT. The paper is devoted to the study of types of managing the student's educational activity. The educational discipline “Practicum of problem solving in informatics” for students of third year study, future teachers of informatics have been chosen for realising pedagogical conditions of computer-oriented management of students' educational activity. Progressive turn from direct management through co-management, subsidiary management to self-management was the main idea of designing the courseware. The information-communication educational environment has been based on the platform of learning management system Moodle. The Workshop elements of Moodle played the central role in management of students’ educational activity. The results of our pedagogical observation and assessment showed the efficiency of suggested approach. Additionally, there were shown the lack of students’ competency in time planning and introspection on the base of the experimental data.

ABSTRACT. The purpose of the research was to identify and study the features of the effect of four questions forms and their combination in polymorphic test on the output indicators of secondary school students’ testing. In the study, conducted in the subject field of studying native (Ukrainian) language, took part students of 8th and 9th-grades (N=164). The tools (criterion-oriented author's tests, questionnaire) and methods of results’ analysis (factor analysis, dispersion analysis, etc.) used in the research process, made it possible to prove the existence of the effect of factor "question form" on the test scores (impact power is up to 35%), and also to determine combination of question forms that is characterized by the highest diagnostic accuracy. Results of a study indicate that it is advisable to construct a polymorphic linguistic test. The combination of the multiple-choice questions with one correct answer with using the text and constructed-response questions can ensure the clarity of output indicators of testing (with the least effect of question forms on them), in case evenly balance of these questions in the test. The disadvantages of the study are pointed out and prospects for their continuation and deepening, connected with further study of the optimal empirically valid test structure, are substantiated.

ABSTRACT. Digital instrument didactics (DID) is a practical component of modern pedagogy that reflects the process of acquiring knowledge using a variety of digital means of obtaining, processing and interpreting empirical data. The fundamental difference between e-learning and DID is that in the former case digitized content acts only as an activator of sensory perception of information, simplifying the understanding of learning objects. Instead, DID reflects training using technological means (such as digital measurement systems) and can be electronic, classical, and hybrid. Therefore, e-learning can be seen as an extension of the traditional learning process at the level of the standard of secondary education, and DID as a component of specialized science education. DID complements the scientific method of conducting research and engineering design with such opportunities as creation of interactive computer models, visualization of experimental data and their comparison with theory, predicting the course of the process due to changes of influence factors. The development of digital didactics determines changes in the structure of teacher activity, which can be interpreted as didactic engineering.

ABSTRACT. The article discusses the problem of using secondary data analysis (SDA) in educational research. The definitions of the SDA are analysed. The statistics of journals articles with secondary data analysis in the field of sociology, social work and education are discussed. The dynamics of articles with data in the Journal of Peace Research is conducted from 1988 tо 2018. The problem of PhD student training to use secondary data analysis in their dissertation are discussed. The sources of secondary data analysis in the education field to Ukrainian PhD students are proposed.

ABSTRACT. The present paper analyzes the benefits of using interactive teaching methods for students of technical and economic specialties using visualization as an example. In the analysis of existing innovative educational methods, attention is focused on the use of information technology in the formation of competencies of future specialists. In the process of building a software product, a comparative analysis of platforms for developing graphic applications as the main means of visualization on the Internet was carried out. To solve logistic problems that are of practical importance for both economic and technical areas, a visualization of the ant colony optimization algorithm is implemented. To test the effectiveness of this approach, a multi-stage experiment was conducted, the results of which allowed us to draw a number of positive findings. In addition, the comparative survey of students from the experimental and control groups made it possible to find out the students' needs in the process of dual learning, which provided an opportunity to increase students' satisfaction with the quality of teaching disciplines.

ABSTRACT. A person's cultural potential, an individual ability to perceive and understand the signs of culture are mainly related to lifelong learning. It includes some integral parts such as literature and reading. However, a new generation of people with "electronic consciousness" has emerged lately. Individuals create their own information space via computers, tablets, cell phones and different gadgets. A traditional book is taking a secondary position. It makes us mention about a total disruption of communication between author and reader. Literature is losing its sacred value being unable to compete with visual culture products. Nowadays this problem can be solved with an interactive book that remains an edition in its usual form. It represents a paper medium related to a game using tablets or smartphones. They provide an interaction with book elements. In this respect, it leads to designing of new reality where any reader is capable to communicate both with an author and characters. Max Kidruk offered his readers an unusual book. It has the interactive application. Owing to this option itself we can enjoy a story about a girl Ruth who changes reality. In addition we are able to visualize places where events develop and read a heroine diary. The author doesn't only entertain his readers but draws their attention to vital social issues in the game form. He proposes to analyze family detachment, domestic violence, teenage abortions, suicides and self-oriented aggression caused by alcohol.

ABSTRACT. The system of education is challenged by a need to prepare a new generation of professionals who would not only master field-required skills but also harness soft skills. The paper reviews definition and characteristics of formal, non-formal and informal education models and defines the possibilities to address the education challenges in combination of forms. The Summer school as a form of non-formal education is defined and proposed to fill the gap in formal education. The paper presents a structure of how to develop a curriculum for a summer school centered around a competency-based approach. The three key components – profile of participant, expected result, and real-life problem, form a set of skills and knowledge that define learning outcomes and shape the program. Finally, the paper reviews the case study of summer school hold in Kharkiv to demonstrate how the approach can be applied to practice. Summer school is a useful tool to establish and test new forms of education that contribute to learning process of both students and educators.

ABSTRACT. The paper outlines the results of experimental testing of the effectiveness of the principles of analogy, cognitive effects and the frame-cluster approach as a basis for a concise associative and dissociative dictionary, which is seen as a means of accelerated teaching of a foreign language based on the knowledge of the mediator language (here: English). It is a proven fact that analogy (including association) is a universal principle of thinking which enables to correctly identify lexical units of the language of one group through the mediator. The correctness of involving the dissociative principle has been confirmed experimentally: it is based on memorizing the uncommon and different. Accelerated, interest-driven teaching of a foreign language based on associative and dissociative principles takes into account the resources of cognitive effects, which are cognitive illusions not controlled by the consciousness. We have substantiated the expediency of distributing vocabulary in the proposed dictionary according to the frame-cluster principle, in which the learner constructs a situationally relevant phrase from cluster-organized associated forms. Repeated use of lexemes in communication provides correction of errors over time. The experiment confirmed that such a dictionary can satisfy the needs of the modern information society, where multilingual communication is in demand.

ABSTRACT. The article presents the analysis of the implementation of interactive technologies at the ESP lessons at agrarian and technical universities. It is emphasized that the use of an interactive learning model includes modelling life situations, the use of role-playing games, joint problem solving. Unlike the subject-object approach, the students become the subjects of interaction; they actively participate in the learning process, following their individual route. The students acquire knowledge in the process of interactive learning not in the finished form, but obtain it themselves, in the process of their own activity. Therefore, the goal of the teacher is to create the conditions under which the students will discover new knowledge, construct it, and use it. It is noted that the process of learning a foreign language for special purposes requires the creation of a mixed learning environment, in which a new type of cooperation between teachers and students emerges. The authors gave the examples of the use of interactive learning technology which can improve the training of future professionals and ensure the formation of the professional foreign language communication skills.

ABSTRACT. The articles is devoted to the experimental research on the of English-language communicative competence formation of future ship engineers. The method of usage of gamification approach to form the communicative competence is proposed. The model of English-language communicative competence formation based on gamification which includes target, normative, methodological, procedural, substantive and evaluative-effective blocks is described. The article also shows the experimental research results which confirms the effectiveness of the developed structural model of English-speaking competence of future ship engineers and the methods of its formation.

ABSTRACT. The paper deals with the issue of enhancing communication of IT-professionals using interactive training methods. It is emphasized that this problem is urgent for IT-education, which has the quickest rate of the content change, formation of new knowledge fields, shift in types and volumes of communication and interaction. Regulations, guides and qualifications frameworks of European countries and Ukraine in terms of requirements to communication of specialists in different fields have been analysed. The concept of interactive teaching, interactive teaching methods and activities, and their advantages have been studied. It has been noted that interactive methods can be successfully used in teaching general and special subjects for future IT-professionals. Main peculiarities of certain interactive teaching methods have been described. Some practical ideas of the project method, brainstorming, the gamification method, the debate use in the educational process at higher educational institutions for enhancing better communication of IT-professionals have been presented.

ABSTRACT. The article deals with the substantiation and practically verification of the processes of creation, receipt, processing and submission of information to the end consumer, namely, the methodological substantiation of the information support system for the educational quality management in the general educational institution. It is established that not only the knowledge of the external information content, which is necessary for the implementation of the cycle of the educational quality management in the educational institution, but also the sources of its receipt and creation is of great importance for the heads of the general educational institutions.

ABSTRACT. The article analyzes the problems of mathematical university preparation of specialists in the context of their professional self-realization in the modern labour market. The structure of mathematical competence of students is considered, its most important components are substantively described. As a result of pedagogical experiment, the level of students' mathematical competence formation according to the specified structure was established. It is proved that students of both mathematical and non-mathematical majors have poor mathematical knowledge and skills for solving problems that require their complex application, in particular, modeling problems in the context of future professional activity. The most important factors that significantly inhibit the process of learning mathematics at the university are highlighted. The basic approaches to formation of mathematical competence of students are substantiated: research-oriented teaching; interdisciplinary approach and practical orientation; use of digital learning environments and related tools. The methods of implementation of these approaches are disclosed in the authors' elective discipline for the students of mathematical specialty "Methods of formation of students’ mathematical competence for the future successful career". The purpose of this discipline is to improve the methodological preparation of masters for teaching mathematical disciplines in educational establishments.

ABSTRACT. The specialized training influence to the choice of further direction of study is considered in the work. The assumption that early involvement of students in the study of natural and mathematical disciplines, in particular mathematics is given. It will stimulate young people to get STEM education in future. The essential element in future professional choice, development and formation is the issue of motivation for learning. It is important that modern students are gradually losing their incentive to study. Almost a third of those who choose the appropriate study profile have contradictions between professional self-determination and the availability of the necessary knowledge for the profession, between choosing a higher education institution and being able to enter in it. The contradiction requires purposeful formation of a conscious choice of future activities. The conducted research has shown that the basis of the motivational component of the choice of STEM-learning is studying of natural and mathematical disciplines by modern teaching technologies and organizing of additional lessons system based on the projected teaching methods. It satisfies the growing needs for intelligence, knowledge, motivational beliefs to understand the specifics of the future profession

ABSTRACT. The authors present methods building and printing three-dimensional models for graphical reconstruction of historical architectural objects. Procedure sequence of the methods is exemplified through building the model of the Parochial Cathedral of St. Mary of the Perpetual Assistance of the 1950s. After analyzing and assessing the most popular specialized software means, the 3DS Max environment is chosen to build a three-dimensional model. Suggested software tools enable increased accuracy, speed and granularity of fixation of complex systems and expanded databases, providing efficient instruments to deal with bulk data and being relevant to new IT achievements. Sequence and content of operations for analytical and modeling cycles are substantiated. The cathedral model is built on the basis of archive photographs and drafts. The authors describe methods and the algorithm of procedures, principles of architectural and spacious modeling to recreate the architectural object. The three-dimensional model is built by applying a stereogram miniature of the destroyed Cathedral. Reconstruction of spacious configuration of the objects is based on parallax assessment of images. Stages of project implementation are determined. There are described methods of implementing modeling by 3DS Max tools and preparing the model for 3D printing in Cura

ABSTRACT. This article scientifically substantiates the criteria for the selection of cloud-based learning technologies for the formation of professional competencies of bachelors majoring in statistics, as well as presents the results of expert evaluation of existing cloud-based learning technologies by defined criteria. The criteria for the selection of cloud-based learning technologies for the formation of professional competencies of bachelors majoring in statistics, were determined: information-didactic, functional and technological. To implement the selection of cloud-based learning technologies for the formation of professional competencies of bachelors majoring in statistics, and effective application in the process of formation of relevant competencies, the method of expert evaluation was applied. The expert evaluation was carried out in two stages: the first one selected cloud-based learning technologies to determine the most appropriate by author's criteria and indicators, and the second identified those cloud-based learning technologies that should be used in the educational process as a means to develop professional skills Bachelor of Statistics. According to the research, the most appropriate, convenient and effective cloud-based learning technologies for the formation of professional competencies of future bachelors of statistics by the manifestation of all criteria are cloud-based learning technologies CoCalc and WolframAlpha.

ABSTRACT. As computer hardware becomes more and more parallel, there is a need for software engineers who are experienced in developing parallel programs, not only by "parallelizing" sequential designs. Teach students a parallelism in elementary courses in computer science this is a very important step towards building the competencies of future software engineers. We have conducted research on "teaching parallel and distributed computing" and "parallel programming" publications in the Scopus database, published in English between 2008 and 2019. After quality assessment, 26 articles were included in the analysis. As a result, the main tool for teaching parallel and distributed computing is a lab course with a C++ programming language and MPI library.

ABSTRACT. The article discusses three approaches to reducing runtime of the programs, which are solutions of Olympiad tasks on computer science, related to sequences or matrices. The first approach is based on the representation of some sequences in matrix form and then the program of calculating the members of the sequence will have asymptotics equal to the time complexity of the exponentiation algorithm and will be O(log (n)). The second approach is to upgrade the known code to obtain significant reduction of the program runtime. The third approach is based on reducing time complexity by search for regularities; the author's task is presented and this approach is used to solve it.

ABSTRACT. The study is devoted to the analysis of the current level of use of neural network tools to create conditions for individualization of student learning. The author presents the results of the analysis of scientific developments of scientists in the questions of the use of neural network approaches in the educational process, presents a range of basic modern directions of research and development, in particular: adaptive tests, individualization of learning, improvement of the level of distance education and others. The author emphasizes that modernity is characterized by an active increase in the number of students who choose for themselves individual and distance forms of education, which leads to the need for the development of modern technological systems of distance learning. For this purpose, the scientist conducts a comparative analysis of distance learning tools, their features and capabilities in terms of implementation of an automated intellectual system of individualization of the educational process.

ABSTRACT. Abstract. Based on the analysis of scientific resources, the role of educational environment in personal building, development and education is actualized. It is stated that educational environment is one of the most essential factors of those processes. The author’s definitions of notions “educational environment”, “еducational environment of institution of higher education” are given. The authors advocate the point that educational environment is a system of facilities for personal education. It is emphasized that the environmental approach in education is changing accents in teaching which is aimed at creating and developing educational environment, which has to meet educational needs of a student. The author’s technique of evaluating the state of educational environment of institution of higher education is grounded and approved, the rating scale of this technique is introduced. The technique suggests making expert evaluation of educational environment of institution of higher education according to qualitative (modality) and quantitative (professional breadth, professional saturation, sociocultural intensity, congruence, openness, mobility, informative) parameters. The typology of educational environment of institution of higher education is presented (innovative-professional, formal-professional, pragmatically-oriented, formal general cultural educational environment). The analysis and interpretation of the results obtained from the experiment at University College of Borys Grinchenko Kyiv University are given. The evaluation of educational environment of the college has been made by three groups of experts, which have included students, teachers and parents. Despite the fact that evaluation by different groups of experts are similar, it is revealed that it has essential differences, which has been proved with appropriate statistical methods. It is determined that the substantiation of the whole monitoring system of educational environment of institution of higher education and corresponding diagnostic tools has great potential.

ABSTRACT. The scientific novelty of the article is that the authors have revealed the average level of the state of formation of communicative competence (CC) of the third-year students. The cognitive and emotional components dominate among all CC components (it can be observed among students of the Faculty of Natural Sciences, Faculty of Arts). The behavioral component of the CC is better formed among students of the Faculty of Foreign Philology and the Faculty of Arts and Graphics. The communicative tolerance prevails among students of the Faculty of Physical Education as well as the Faculty of Arts and Graphics. Moreover, the two factors influencing CC were revealed: the external factors (organization of students` subject leisure; professional-oriented educational work with students; content of education at institutions of higher pedagogical education: specialty of the chosen profession, increased cycle of humanities and psychological and pedagogical disciplines, active pedagogical practice of students; age of students to work with, different categories of children and adults to communicate with, pedagogical skills and CC of teachers); the internal factors (students' attitude towards self-development, self-education, students' life and social experience, motivation for acquiring a specialty and CC, humanistic orientation of future teacher's personality, persona's orientation to "person-person" profession).

ABSTRACT. The article is devoted to the issue of developing professional skills of teachers working in a situation of a conflict. The purpose of the research is to substantiate the theoretical foundations of the course and to develop the contents of the training program. The scientific novelty of the research lies in a set of scientific approaches to the contents of the teacher training programme: 1) philosophic approaches: gnoseological, child-centrism, pragmatism, theory of participation; 2) general scientific approaches: axiological, synergetic, systemic, activity, interdisciplinary, complex, optimization, resource, innovative; 3) specifically scientific approaches: approaches to the protection of human rights (informational, power, economic, political, balanced, non-resistance to evil by violence, exposure of violence and hatred), a risk-oriented approach to the security theory, a situational approach to the management theory, political approach, regional and state approaches to public administration, legal approach, the approach to labour protection, approaches to social work: problem-oriented, diagnostic, client-oriented, model-creating-oriented, crisis interference, self-care support; conflictological approaches: sociological, psychological, social-psychological; an approach to psychology of behavior in extreme situations, cultural approach; an algorithmic approach through the theory of resolution, approaches to labour protection in extreme situations; 4) pedagogical approaches: androgenic, competence-oriented, differentiated, educational, personality-oriented, e-learning; the approach of implementation and adaptation of the syllabus to the international standards. The practical significance of the research lies in the multidisciplinary character of the regional training program “Education in conflict” and the recommendations to the methods of teaching it.

ABSTRACT. The purpose of the article is to identify trends in the development of inclusive education in Ukraine and related challenges. Their understanding and consideration in the formation of educational policy will contribute to a more successful process of its implementation. To achieve this goal, the method of desk research was used. It is established that at present the main trends in the implementation of an inclusive approach in education are the focus on the development of a multi-track model and a significant increase in special classes, educational institutions with inclusive education and students who study there, in the conditions of decentralization of education. Difficulties in implementation of inclusive approach in education associated with the lack of a common understanding of inclusive education, the imperfection of the regulatory framework, the institutional weakness of the newly established amalgamated territorial communities, the uncoordinated efforts of state and local governments, poor material and technical resources of educational institutions, lack of qualified teachers prepared to work with children in conditions of inclusive education

ABSTRACT. Entrepreneurship education (EE) is often regarded as one of the most important elements of the policy of stimulating small business and self-employment, creating start-ups and innovative business projects. The implementation of EE in the system of professional training at a new stage in the development of society could significantly increase the potential of using universities in the process of economic growth. The article sheds light on the nature and features of EE, analyzes the prospects and difficulties of its integration with other areas of training. The study demonstrates great prospects for the implementation of EE into the program of higher education training. EE has to be concentrated around several important characteristics of entrepreneurship and entrepreneurs themselves. The implementation of EE at the curriculum and extra-curriculum activities at the institutions of higher educaton of Ukraine, the combination of theoretical, problem- and project-oriented learning with the immersion into practical activities concerned with business planning, creating and running, training of students in groups together with nascent and experienced entrepreneurs would be extremely useful and productive in terms of motivating more and more young people to take an entrepreneurial path and achieve prosperity and self-actualization. The practical realization of EE will contribute to the formation of more resilient and competitive local communities as well as a more inclulsive, just, equal, and happy society.

ABSTRACT. Abstract. The role of axiological approach in the training of new generation teachers is theoretically substantiated in this article. The axiological approach makes it possible to identify a set of priority values in the education, upbringing and self-development of a person in modern society and to design their reflection in the norms and aims of future teachers in the process of psychological and pedagogical training. Possible ways of implementing an axiological approach in the educational process of higher education institutions are outlined, such as: the identification of value orientations of higher education applicants (peculiarities of the system of orientation of interests and needs of the individual), with further adjustment regarding ethical positions in psychological and pedagogical activity (moral consciousness, moral activity and moral relations); informing students of higher education about value orientations and identification of the most important ones (that is, determining the dominant axiological vector - a system of common values and rules of ethics, the observance of which is necessary for the performance of psychological and pedagogical activities) in teaching the cycle of psychological and pedagogical disciplines; analysis of axiological potential of psychological and pedagogical disciplines, in order to identify opportunities for further influence on higher education applicants, that is, a special form of spiritual learning of the results of cognition, the process of reflecting reality in terms of morality (humanistic orientation, national dignity, intelligence, vital ideals, conscientiousness, honesty, truthfulness, objectivity which is characterized by an awareness of their truth; adaptation of higher education students to the system of professional value orientations through educational, practically-oriented, independent activity and interaction with teachers as carriers of moral principles and others. The results of the experimental verification of the effectiveness of using the axiological approach are represented.

ABSTRACT. This paper presents results of the correlation analysis between indicators of education, income, happiness and economic freedom for 145 countries for 2018. The Pearson (product-moment) correlation, the Spearman rank correlation, and Kendall’s Tau correlation were used in the research process. The calculations are implemented in the application packet Statistica. The analysis showed that education has a strong relationship with all analyzed indicators. This study confirms the conclusion about the importance of education and therefore need to improve the level of education in society. Also, the results of the study suggest that education not only contributes to an increase in income, but also makes persons happier.

ABSTRACT. The study aims to find out whether it is possible to foster students’ learner autonomy in the context of ESP language learning in non-linguistic universities by the creation of a special learning environment. It was carried out at National Aviation University in Ukraine with two groups of first-year students of electronics (experimental and control) in 2018-2019. Testings to determine students’ level of communicative competence in English and surveys to identify students’ level of learner autonomy development were conducted in September and May of the same year of education. The control group did not receive any special training, while in the experimental group were created special learning conditions for students’ autonomy fostering. With the purpose to prepare students to accept responsibility for their learning, they were given the opportunities to choose educational materials; to set goals of their learning; to reflect the process and evaluate the results of learning, etc. Modern technologies were widely used as well as scaffolding(if necessary). According to the results of the experiment, it was stated that only a part of the most active students used the created conditions and gained experience in autonomous learning. The conclusion was made about creating such an environment. It is a challenge that is appropriate to realize to give an autonomous learning experience to aspiring students.

ABSTRACT. The article substantiates that the temporality of being of the subject as synchronization of communicative, cognitive demands on a person with dynamic changes of information reality, is the basis for the development of media education. It is justified that the formation of competencies of the carrier of modern culture is a difficult task, since such traits as critical thinking, free possession of judgments about content quality, preventive measures in guarantees of dangers of communicative activity and others, fall into the scope of the main threats – leveling of important conditions of cognitive activity, multiplicity of models of communicative interaction, complex of semiotic systems of media culture, etc. Identified symptomatic cognitive features of the modern subject of information activity indicate the need for an urgent educational response, which means the formation of requirements and criteria for media literacy, a balanced approach to the consideration of temporality, procedural thinking in terms of knowledge, memory, self-identification. It is stated that mastering the semantics, topology, and navigation of the basics of audiovisual communication is an important vector of media education. The article emphasizes the importance of a comprehensive response from the education system to the civilizational challenges of the transition to the information society.

ABSTRACT. The American didactic experience reveals that social media can be successfully used to arrange the work of the teaching staff and students, hold individual and collective consultations enhancing intellectual and creative potential of students.

ABSTRACT. The article analyzes the concept of the educational environment, its components and features of the structure. The concept of educational environment design was introduced. The components of educational environment design for the teachers’ professional training of the Ternopil Volodymyr Hnatiuk National Pedagogical University (TNPU) are described: technological, didactic and social. Its characteristic features such as: information saturation and openness, digital transformation, social practices and cooperation are considered. The study of the effectiveness of the created design of the university's educational environment for teachers' professional development was conducted on the basis of TNPU. In total, 432 masters of all specialties of the University participated in this study. The study used the method of expert assessments for statistical processing of results. The study was conducted to determine the level of importance of all indicators of each component of the educational environment design. The results of the study illustrate the significant changes in the technological and social components of the university's educational environment design, which have a significant impact on the teachers’ professional training.

ABSTRACT. The paper is devoted to the study of systematicity of students’ learning activity as a parameter of student’s model, and influence of systematicity at learning result in course “Operating systems”. The necessity to equip the student himself as the subject of the educational process with the skills and appropriate pedagogical forecasting tools for independent choice of the appropriate variant of educational activity is shown as theoretical framework. Parameters of models in such pedagogical diagnostics system are suggested and discussed. Empirical work has been realised on the base of learning management system Moodle and give possibility to analyse correlation between timeliness of completing the learning tasks by students and their educational achievements as well as to analyse the structure of students’ time planning at homework. Recommendations to improve the educational process have been suggested

ABSTRACT. The article discloses the peculiarities of developing professional competence in professional training teachers. This process mostly involves using traditional pedagogical technologies. The article presents results of the ascertaining experiment and indicates the need for continuing professional development of teachers based on innovative principles. It also suggests using up-to-date pedagogical technologies of distance and project-based learning and production technologies to develop professional competence in actors in the educational process (teachers and students). This refers to the implementation of a competence-based approach in the professional education system. It is reflected in the development of professional competence based on some steps. They include expanding informational and educational space for actors in the educational process and individualizing learning using modern information resources (distance technologies); ensuring the interaction between actors in the educational process, as well as the joint realization of searching, cognitive and research activities (project-based technologies); organizing the educational process under the social partnership, taking into account the timely response of the professional education system to the emergence of innovations in production and the service sector (production technologies).

ABSTRACT. Current trends in scientific research and the development of information technologies cover more and more areas of business. In these conditions, the findings of scientific-technical revolution and the innovations most important factors for the country's economic development and crucial to become a competitive state. The gradual establishment and the scope of use of artificial intelligence on the world innovative technology market increases daily. The purpose of this work is to investigate its impact on business based on the experience of the world and particularly, in Georgia. Accordingly, the study discusses the stages and main trends of artificial intelligence development. Depending on the scale of implementation, Georgia's current trends in job cuts / disappearances along with automation are analysed and future prospects are assessed. The paper discusses the use and increased importance of artificial intelligence 4.0 industry in the context of pandemic restrictions in various sectors of the economy and assessed the role in the post-pandemic period. The paper uses both qualitative and quantitative research methods. Content analysis of the scientific literature, statistical indicators and practical examples of different countries and international organizations is provided. Studies of leading analytical institutions are also included to analyse the current situation and prospects for development.

ABSTRACT. The experience of application of methods of problem-based and project-based learning was described in the training of future engineers for the light industry. Methodological issues are considered, as well as practical recommendations are formulated, for the application of these methods in teaching professionally-oriented disciplines. Examples of project design and their content are given for two specialised disciplines. They are aimed at the development of students' ability to creative thinking and problem-solving when working both independently and in a team. The method effectiveness is illustrated by the formation of students' new competencies, and an increase in their motivation and experience in teamwork. The preferred styles of students' learning were studied for student groups of four different enrolment years. The learning preferences are relatively stable over the four study years. On average, engineering students minoring in textile engineering and design demonstrate a tendency to active, visual, sensing and sequential learning styles. Project-based teaching methods are not universally suitable for students with different learning preferences. Moreover, the success in projecting under the studied conditions correlates with the existing learning preferences of student teams. Student teams succeed in the implementation of projects if they have a balance in the ref-act dimension with a limited preference of the active style. In other words, excessive activity and lack of reflective reflection hindered the successful completion of projects. In the sen-int dimension, the presence of a pronounced sensitive style is also favourable for design and implementation of class projects. Successes in projecting are mostly insensitive to changes in the vis-vrb and seq-glo dimensions. The introduction of the problem and project-based learning methods is useful for engineering students. They acquire new competencies, gain real experience of teamwork, and increase motivation to learn and develop creativity.

ABSTRACT. The article describes the analysis of computer-aided manufacturing systems introduction for the control program machines preparation with the numerical control into the technical students’ educational process. The main stages of teaching students the basics of control machines programming by means of addressing to manual programming and CAM-systems are considered. Recommendations for the control programs testing implementation without a numerical control machine, by means of numerical control machine simulators introduction into the educational process are given.