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Digitization of the educational and scientific space based on STEAM education
(Springer Cham, 2024) Dembitska S. V.; Kuzmenko O. S.; Savchenko I. M.; Demianenko V. B.; Safronova H. U.
Society’s social demand for highly qualified specialists capable of innovative engineering and technical activities actualizes the need to ensure the quality of engineering and technical training. Such changes require modernization of higher technical education at the legislative and administrative levels. Therefore, the introduction of innovative STEAM (virtual and augmented reality, IT technologies, robotics) into the educational process of higher education institutions is a relevant element of the formation of STEAM skills in students. The purpose of the research is the scientific substantiation, conceptualization and development of a digitalization system of the educational and scientific space of a higher education institution based on STEAM technologies, which will contribute to the adaptation of education seekers to educational activities, ensure procedurally and increase the quality of education. The object of research is the educational process in institutions of higher education. The subject of the research is the theoretical and methodological justification of the possibility and expediency of creating a model of digitalization of the educational and scientific space based on the principles of STEAM education. To achieve the outlined goal, the authors used the following research methods: theoretical-comparative and retrospective analysis of pedagogical, psychological, and sociological sources on the research problem; determined the theoretical foundations of the formation of the digitalization system of the educational and scientific space of the higher education institution based on STEAM; empirical (diagnostics (questionnaires, surveys) to find out the level of interest and activity of students in learning engineering and technical disciplines based on STEAM; pedagogical experiment.
EСO-Environment of the Information—Analytical System of Scientific Personnel Training as a Means of Open Science
(International Journal of Engineering Pedagogy (iJEP), 2023) Ростока М.; Кузьменко О. С.; Rostoka M.; Kuzmenko O. S.
Зміни в системі вищої інженерної освіти (ВО), розвиток наукового вектору STEM та вимоги Промислової революції 4.0 зумовлюють перегляд концепції підготовки наукових кадрів (НПК) інженерного спрямування. Важливою є модернізація змісту такої освіти та орієнтація на задоволення потреб стейкхолдерів у контексті відкритої науки. Методологічно обґрунтовані принципи побудови інформаційно-аналітичної системи (ІАС) в інтеграції програмної інженерії з науковими підходами до викладання фізики, адекватно вплинуть на рівень якості організації досліджень у відкритій науці з використанням запропонованого ЕКОсередовища ІАС для ПНП. Метою ПНТ, що базується на фундаменталізації практичної логіки та положень трансдисциплінарного, системного, компетентнісного та синергетичного підходів, є забезпечення суб'єктів наукової освіти методологічним інструментарієм для розв'язання дослідницьких завдань у конкретних галузях знань. На трансдисциплінарному рівні з урахуванням концепцій STEM та відкритої науки обґрунтовано адаптивність методології побудови трансдисциплінарної МАН; систематизовано термінологічний апарат; виявлено адаптивні процеси в середовищі ЕКО; обґрунтовано траєкторію розвитку трансдисциплінарної компетентності здобувачів наукової освіти. The changes in the system of higher engineering education (HEE), the development of the scientific vector of STEM and the demands of Industrial Revolution 4.0 determines the revision of the concept of Scientific Personnel Training (SPT) of engineering direction. It is important to modernize the content of such education and of focus on meeting stakeholders in the context of open science. Methodologically substantiated principles of the construction information-analytical system (IAS) in integration software engineering with scientific approaches to teaching in physics, will adequately affect the level of quality organization of the research in open science using the proposed ECOenvironment of IAS for SPT. The purpose of SPT, based on the fundamentalization of the practical logic and of the provisions of transdisciplinary, systematic, competency and synergetic approaches is to provide subjects of scientific education with methodological tools for solving research problems in specific knowledge areas. At the transdisciplinary level, taking into account the concepts of STEM and open science justified adaptive of the methodology of constructing the transdisciplinary IAS; the terminological is systematized; the adaptive processes of in ECO environment are revealed; the trajectory of development of transdisciplinary competence of applicants of scientific education is substantiated.
Formation of a gender-sensitive environment based on STEAM education : the aspect of transdisciplinaryness
(Інститут обдарованої дитини НАПН України, 2024) Kuzmenko O. S.
In the conditions of martial law, the creation of a gender-sensitive environment in higher education institutions based on STEM is an urgent task. An important task of science and education at the moment is to provide favourable conditions for the subjects of education based on the state’s innovation policy (for example, STEM, artificial intelligence, robotics, etc.), as well as to provide feedback between the student and the teacher. Activation of the problem of the gender component, focusing attention on the concept of zero tolerance in the system of training personnel from the economic profile and developing a new methodology for building a gender-sensitive environment in this field will ensure the integrity of the process of forming intellectual potential among women and men, is the main goal of the author’s research. This is aimed at the rationality of the organization of the training of education seekers taking into account gender aspects on the basis of STEM.
Formation of scientific thinking of educators in the process of teaching physics and professionally oriented disciplines based on STEM technology technology
(Інститут психології імені Г. С. Костюка НАПН України (сайт), 2022) Kuzmenko O. S.
The new paradigm of education requires significant changes in the system of higher technical education using STEM technologies (in the process of studying physics and professionally-oriented disciplines) to provide quality training, able to think critically and act in difficult professional situations, make responsible and constructive decisions, develop identify problems in different fields of knowledge. Currently, modernization of higher education at all its structural levels is required: development of industry standards; training programs; curricula; forms and methods of teaching; control and evaluation of student's academic achievements, which requires the adoption of a European system of evaluation of learning outcomes – competencies.
Improvement of self-educational activity of students of technical specialties based on innovative society development (on the example of studying physics)
(Institute of Public Administration Affairs in Lublin, 2021) Dembitska S. V.; Kuzmenko O. S.; Дембіцька С. В.; Кузьменко О. С.
У положеннях наукової статті авторами розглянуто трактування понять «самоосвітня діяльність» і «самоосвітня компетентність» у навчанні фізики в технічних закладах вищої освіти. Виокремлено особливості цього процесу та наявні недоліки щодо формування самоосвітньої компетентності майбутніх фахівців технічних спеціальностей. Обґрунтовано необхідність розробки стратегії поетапного управління самоосвітньою діяльністю студентів у процесі професійної підготовки й окреслено її можливі напрями. До умов її ефективного провадження в освітній процес технічних закладів вищої освіти віднесено забезпечення мотивації до здійснення самоосвітньої діяльності на засадах інноваційності й цифрової адженди; розкриття змісту самоосвіти; створення проблемних навчальних ситуацій, а також сприяння розвитку рефлексії в майбутніх фахівців технічних спеціальностей. Перспективами подальших наукових розвідок визначено розробку методичного забезпечення управління самоосвітньою діяльністю студентів технічних спеціальностей у процесі отримання фаху та її апробацію в реальних умовах закладів вищої освіти. In the provisions of the scientific article, the authors consider the interpretation of the concepts of “selfeducational activity” and “self-educational competence” in the teaching of physics in technical institutions of higher education. The peculiarities of this process and the existing shortcomings in the formation of the self-educational competence of future specialists in technical specialities are highlighted. The necessity of developing a strategy of stepby-step management of student’s self-educational activity in the process of professional training is substantiated and its possible directions are outlined. The conditions of its effective implementation in the educational process of technical institutions of higher education include: motivating to carry out self-educational activities based on innovation and digital agenda; disclosure of the content of self-education; creating problematic learning situations, as well as promoting the development of reflection in future specialists in technical specialities. Prospects for further scientific research are determined by the development of methodological support for the management of self-educational activities of students of technical specialities in the process of obtaining the speciality and its testing in real conditions of higher education institutions.
Innovative and Scientific ECO Environment: Integration of Teaching Information and Communication Technologies and Physics
(LNNS, 2022) Kuzmenko O. S.; Rostoka M. L.; Dembitska S. V.; Topolnik Y. V.; Miastkovska M. O.
Given the trends of digitalization, the main directions of improving the educational process in institutions of higher education and the requirements for the next generation, it is important to develop a model of the innovative scientific ECO environment, where the modernized methodology will properly implemented in teaching physics in integration with ICT based on STEM education. Physical and technical training of future specialists (in particular, aviation) is a component of their professional training, which forms personally and professionally important qualities, readiness for training in the specialty “Aviation Transport”. Each of the disciplines (Avionics, Flight Dynamics, Aerodynamics, Radio Equipment, Flight Simulator etc.) of professionally oriented training has a positive effect on the level of professional competence of future professionals. Therefore, the method of teaching physics and professionally-oriented disciplines using ICT based on STEM-approach should promote the development of student’s critical thinking, creativity, skills of quick orientation and response in difficult situations. The effectiveness of the developed methodology based on STEM technologies is con-firmed by the conducted pedagogical experiment in technical institutions of higher education in Ukraine. The authors substantiate a model of innovative-scientific ECO environment; develop a methodological system for the formation of student’s knowledge of physics-based on fundamental end-to-end generating concepts, taking into account, transdisciplinary and professionally oriented approaches to technical disciplines based on STEM technologies.
Innovative trends in higher education in the context of sustainable development (on the example of physics and technics disciplines)
(Publishing House of University of Technology, 2022) Dembitska S. V.; Kuzmenko O. S.
The current state of higher technical education affects the need to find innovative ways to solve problems of ensuring the effectiveness of physics and technics education and the educational process of higher education in terms of implementing theoretical and practical aspects of sustainable development of society. The article highlights and analyzes the urgent problems of higher technical education: development of educational programs by scientists, the need to strengthen the practical component of educational programs for technical specialists, according to stakeholders, ensuring interdisciplinarity of higher technical education and the need for modern technical thinking in higher education. The ways of their solution in the context of sustainable development of society are analysed, considering innovative tendencies.
Integration of a methodological system of teaching physics and professionally oriented disciplines of the court of contribution
(Publishing House of Polonia University „Educator”, 2022) Kuzmenko O. S.; Savchenko I. M.; Savchenko Y. V.; Kryński A. А.
The current state of the education system is characterized by the transition to a new qualitative level, which has positive changes in the teaching of physics and professionally oriented disciplines based on STEM technologies. Therefore, the current stage of development of physics education aims to solve the problems of formation, development and self-realization of the students/cadets, which becomes possible by creating appropriate pedagogical conditions that promote self-knowledge, self-improvement and development of creative potential. The article considers the methodological aspects of integration in the development of methods of teaching physics and professionally-oriented disciplines based on STEM technologies. The conceptual apparatus of «integration» and «interdisciplinarity» is outlined. The scientific and theoretical aspect of the methodology of teaching physics based on STEM-technologies in terms of integrated and interdisciplinary approaches is considered, and the effectiveness of the proposed methodological system of teaching physics and professionally oriented disciplines on compliance with educational programs of technical aviation, which also allows to ensure the formation of the basic conceptual apparatus of physics in students and strengthen their independent cognitive and exploratory activities. The results of the study were tested and received a positive assessment at various levels of activities.
Laboratory workshop for the general physics course : tutorial for cadets/students
(National Center «Junior Academy of Sciences of Ukraine», 2020) Kuzmenko O. S.; Fomenko V. V.
This manual is allotted cadets and students of FA NAU as the main guide in the preparation and implementation of laboratory works of the general physics course. The manual includes the necessary theoretical information and instructions for performing laboratory works, tasks for making experiments, the progress of each of the works, control questions for self-examination, recommended references for an in-depth study of theoretical material. Навчальний посібник призначений для курсантів та студентів Льотної академії НАУ як основне керівництво у процесі підготовки та виконання робіт фізичного практикуму із загального курсу фізики. Навчальний посібник включає: необхідну теоретичну інформацію та інструкції для виконання лабораторних робіт, завдання для проведення експериментів, хід виконання кожної з робіт, контрольні запитання для самоперевірки курсантів/студентів, рекомендовану літературу для поглибленого вивчення теоретичного матеріалу.
Method and technique of experiment for optics
(Junior Academy of Science of Ukraine, 2021) Sadoviy N. I.; Kuzmenko O. S.; Gavrylenko O. M.
The offered textbook contains the main educational material from the sections «Development of STEM-education in the process of teaching physics in technical educational institutions of higher education», «Waves and their characteristics», «Geometric optics», «Wave properties of light», «Practical use of waves properties of light», «Special applications of light», «Polarization of light» and «Quantum properties of light». The textbook corresponds to the current curriculum and is recommended by the Ministry of Education and Science of Ukraine for foreign students in higher education.
Methodical features of implementation of the relationship between symmetry and asymmetry based on stem education
(JASU, 2022) Kuzmenko O. S.; Savchenko I. M.; Demianenko V. B.
The authors analyze the concept of symmetry and asymmetry in the process of teaching physics in technical institutions of higher education. The relationship between symmetry and asymmetry in the process of teaching physics based on STEM technologies is revealed. The use of fundamental ideas of physics (for example, symmetry and asymmetry) taking into account STEM technologies is highlighted. The interrelation of symmetry and conservation laws about their fundamentality is clarified; the technique of the integrated approach of physics and disciplines of the professionally-oriented profile, on an example of studying cosmetic loadings, is presented. It was found that the formation of independent cognitive-exploratory activities of students should use physics problems with consideration of fundamental concepts, such as symmetry caused by the development of motives, cognitive interest and scientific thinking and the acquisition of professional competencies. The demonstration of engineering and technical component of STEM education and development of methods of studying disciplines taught to students of technical institutions of higher education, taking into account the integrated approach and interdisciplinary links, is relevant. The transition to STEM training requires improving the methodology of teaching physics in terms of integrated, systematic, professionally-oriented approaches, which includes: the use of new methods, techniques, teaching aids that would help solve several methodological problems; application and introduction in the educational process of physics of interesting and important scientific achievements, as well as strengthening those aspects that stimulate and intensify the independent cognitive activity of students of technical institutions of higher education. It is established that to improve the quality of teaching physics in future technical specialists it is necessary to systematically improve the methodology of educational and cognitive activities, and more widely apply STEM-learning technologies, which leads to productive mental and practical activities of students in the process of mastering educational material. In the future, work on the study of this problem can be carried out in the following areas: development of a new approach to changing the structure and content of working curricula, improving the content and system of teaching physics taking into account STEM technologies, strengthening the connection between the teaching of physics course and the professional orientation of students of non-physical specialities of technical universities in the context of STEM education.
Methodological features of professionally oriented education of physical engineering disciplines based on STEM technologies: aspect of ontological approach
(JASU, 2021) Kuzmenko O. S.; Demianenko V. B.; Savchenko I. M.; Demianenko V. M.
The article considers the urgency of the problem of interrelation of teaching physics and professionally-oriented disciplines based on STEM-technologies in the conditions of ontological approach in the process of training students in engineering and technical education according to the educational-professional program of speciality 272 “Air Transport”. Developed and proposed methods of teaching physics based on STEM-technologies, taking into account the definition of ontology aimed at forming STEM skills in subjects, due to the statement before educational institutions significantly improve the quality of students’ knowledge, the role of learning in shaping student’s thinking and cognitive abilities development of STEM education. It is determined that one of the innovative directions of modern education is the introduction of STEM education, which involves the integration of sciences aimed at the development of STEM technologies, innovative thinking and meeting the need for well-trained engineering and technical specialists. The methodical features of professionally-oriented teaching of physical engineering disciplines based on STEM technologies taking into account the ontological approach are substantiated. In the process of conducting a pedagogical experiment, theoretical and empirical research methods were used. In particular, the analysis of philosophical, psychological-pedagogical, educational-methodical literature, recommended textbooks and manuals on methods of teaching physics in the context of the development of STEM education was carried out. Observations, questionnaires, testing, surveys, interviews with scientists and students were conducted. These experimental results were comprehensively analyzed and processed, quantitative data using the methods of mathematical statistics. The results of a comparative experiment to identify the effectiveness of the proposed method of teaching physics in the context of STEM education showed that the level of physical knowledge, skills and abilities of students in control groups is lower than the corresponding level in experimental groups.
Onto-oriented Information Systems for Teaching Physics and Technical Disciplines by STEM-environment
(International Journal of Engineering Pedagogy (iJEP), 2023) Кузьменко О. С.; Дембіцька С.; М'ястковська М.; Савченко І.; Дем'яненко В.; Kuzmenko O. S.; Dembitska S.; Miastkovska M.; Savchenko I.; Demianenko V.
Значущою проблемою сьогодення є обґрунтування наукового підходу до побудови інноваційного освітнього середовища з використанням STEM-технологій у навчанні фізико-технічних дисциплін. Гіпотеза дослідження: впровадження науково обґрунтованої онто-орієнтованої інформаційної системи навчання фізико-технічних дисциплін з використанням вимог STEM сприятиме забезпеченню якості освітнього процесу закладів вищої освіти технічного спрямування та стимулюватиме розвиток STEM-навичок у здобувачів. Метою дослідження є обґрунтування принципів побудови онтоно-орієнтованої інформаційної системи навчання фізико-технічних дисциплін з використанням STEM-середовища та її апробація в процесі підготовки фахівців технічних спеціальностей. Об'єктом дослідження є процес моделювання онтоно-орієнтованої інформаційної системи навчання фізики та технічних дисциплін з урахуванням вимог STEM-освіти. Предмет дослідження - удосконалення процесу професійної підготовки фахівців технічних спеціальностей на основі міждисциплінарності. A significant problem of our time is the substantiation of the scientific approach to the construction of an innovative educational environment with the use of STEM technologies in the teaching of physics and technical disciplines. Research hypothesis: introduction of a scientifically based onto-oriented information system of teaching physics and technical disciplines using the requirements of STEM will help ensure the quality of the educational pro-cess of higher education institutions of technical orientation and stimulate the development of STEM skills in applicants. The purpose of the research is to substantiate the principles of an onto-oriented information system for teaching physics and technical disciplines using the STEM environment and its approbation in the process of training specialists in the technical specialties. The object of research is the process of modelling the onto-oriented information system of teaching physics and technical disciplines using the requirements of STEM education. The subject of the research is to improve the process of professional training of spe-cialists in technical specialties based on interdisciplinarity.
Ontological Visualization of Knowledge Structures Based on the Operational Management of Information Objects
(Springer Charm, 2021) Rostoka M. L.; Guraliuk A. G.; Kuzmenko O. S.; Bondarenko T. S.; Petryshyn L. P.
The properties of ontological models to reflect the conceptual view of a researcher on a certain subject area and uniquely determine its concept, structure, accumulate and reuse knowledge repeatedly and make it possible to widely use it in the educational process. However, the existing tools for constructing ontological models of ontology knowledge (Protégé in integration with OWLViz, OntoGraf, 3D Hyperbolyc, Tree, TODOS, etc.) only partially satisfy the needs of the educational process. Currently, many methods and tools for visualizing ontologies are used. The choice of a particular visualization method is specific and has its own characteristics depending on the task. When choosing visualization tools, it is important that they do not only help to effectively reflect all the information, but, at the same time, allow the user to perform easily various operations on ontologies. There is no single definite method that is universal. So, a viable solution is to provide the user with several visualization options so that it is able to choose the one that is suitable for its current needs. The article describes the author’s web resource http://ontos.xyz, designed to create and visualize the hierarchical structure of subject areas using an ontograph. An ontograph is implemented as a combination of content-containing concepts (vertices, nodes) and the relationships between these concepts. The authors determine the possibilities of using the ontological approach in the pedagogical process by the example of working with the web resource they created, which provides convenient use of ontologies. The article discusses examples of using ontologies to provide semantic annotation for collections of images, sound and other non-text objects; for the development of documentation of arbitrary volume; for building directories with the ability to support the surjective connection of objects (nodes); to simplify the performance of search work, etc. The purpose of the article is to reveal the features of the use of ontological structures for visualizing knowledge schemes and components of the operational management of information objects.
Physics. Mechanics. Molecular Physics and Thermodynamics., Electromagnetism. Oscillations and wave optics. Quantum and atomic physics
(KFA NAU, 2017) Kuzmenko O. S.; Sadoviy N. I.
The proposed guide provides basic educational material sections «Mechanics», «Molecular Physics and Thermodynamics», «Electromagnetism», «Oscillations and wave optics», «Quantum and atomic physics». The manual is intended for foreign students of technical training universities as well as for professors and for teachers.
Psychological factors of emotional intelligence of service employees of state employment service
(Editura Universităţii «Aurel Vlaicu», 2021) Raievska Y. M.; Rostoka M. L.; Bondarenko T. S.; Kuzmenko O. S.; Kelemen G. V.
The article considers emotional intelligence as a subject of scientific knowledge in psychological science and its impact on the professional success of employees of the state employment service. The relevance of the study of psychological factors of emotional intelligence of employees of the employment service is associated with unpredictable socio-economic and political conditions of society in our country, which require considerable transformation by the public employment service. All transformations are directly related to the staff of this service because it is specialists who must master new approaches, innovations, as well as competencies to reach a new qualitatively higher professional level, to best meet the needs of customers of the service. Theoretical analysis of psychological factors of emotional intelligence of employees of the state employment service is given. The general strategy of empirical research is stated and the choice of methods for determination of the level of emotional intelligence of employees of the employment service and psychological factors influencing this level is substantiated. The sample of employees of the employment service is substantiated. A qualitative and quantitative analysis of the results of the study, as well as a comparative analysis of the levels of manifestation of indicators of psychological factors in groups of specialists with different soot work in the employment service. The stages of social and psychological support for activating the development of emotional intelligence for effective professional activity and successful self-realization of the personality are revealed. The content of the training program provides a comprehensive impact on the cognitive (assessment), emotional (experience) and behavioural (communicative behaviour) areas of personality. The training program is based on the basic principles of socio-psychological training practice – establishing a connection (affiliation), empathy, acceptance of others, cognitive processing of experience. The most productive methods of activating the development of emotional intelligence were the basic methods of socio-psychological training (group discussion, role play) and means of art therapy (dance therapy, music therapy, etc.). The use of techniques and methods of art therapy during socio-psychological training has proven their effectiveness.
STEM education – as a means of motivating educational and professional activities of higher education students in learning the disciplines of legal guidance
(ДонДУВС, 2024) Vitvitskyi S. S.; Kuzmenko O. S.
The article reveals the aspects of STEM education in the process of studying legal disciplines as a motivational factor for the development of cognitive and search activity in higher education students.
STEM-моделювання фізичних явищ у процесі навчання студентів професійно-технічним дисциплінам в закладах вищої освіти
(РВВ ЦДПУ імені В. Винниченка, 2018) Кузьменко О. С.; Kuzmenko O. S.
Окреслено проблему застосування методу STEM-моделювання як засобу підготовки студентів у процесі навчання фізики в технічних закладах вищої освіти. Розглянуто поняття моделювання та основних засобів STEM-моделювання, що використовуються у навчальному процесі фізики та дисциплін професійного напряму в закладах вищої освіти технічного профілю на засадах STEM-освіти. The problem of using the STEM-modeling method as a means of training students in the process of teaching physics in technical higher education institutions is outlined. The concepts of modeling and the main STEM-modeling tools used in the educational process of physics and professional disciplines in higher education institutions of technical profile on the basis of STEM education are considered.
The fundamentality of the laws of innovation processes in the educational eco environment: the aspect of teaching physics on the basis of STEM
(JASU, 2024) Kuzmenko O. S.; Savchenko I. M.; Demianenko V. B.; Savchenko Y. V.
In the article, as a result of the research, the main directions of innovations in the educational activity of higher education institutions in the context of the development of innovations, in particular STEM education, are identified and analyzed. It has been established that the development of innovativeness affects the modernization of higher education, in particular technical in the context of STEM education. It has been found that the development and implementation of STEM education as a component of innovativeness affects the modernization of physics teaching methods in technical higher education institutions, and physics in particular. This modernization requires taking into account the general trends in the development of psychological and pedagogical aspects of higher education in the context of globalization and European integration processes. The main regularities and conditions of functioning of innovative educational processes in technical institutions of higher education are considered. The concepts of interdisciplinarity and levels of integration of scientific knowledge are analyzed and highlighted: intradisciplinary, interdisciplinary, supradisciplinary, transdisciplinary. The result of the innovation process is the transformation of new types and ways of human life into socio-cultural norms and models that ensure their institutional design, integration and consolidation in the culture of society. New knowledge that arises as direct experience within the framework of research work is removed from the sphere of the cognitive process and transformed into an innovative process in new systems of technological activity. STEM innovations are one of the main socio-cultural prerequisites for the development of social practice, its enrichment with new cognitive, technological forms of human experience, which are subject to reproduction in the process of their mastery by students of higher education of the new generation. It was determined that the achievement of the professional goal for the subject of training is ensured by integrated scientific knowledge of physics and professional disciplines, which is a prerequisite for mastering methods of solving industrial problems, where the difference between educational and professional activities from practical and cognitive activities is considered, taking into account the concept of STEM education.
The Use of Mathematical Packages of Applied Programs in the Educational Process
(Springer, Cham, 2025) Ivaniuk V. А.; Miastkovska M. О.; Dembitska S. V.; Kuzmenko O. S.
Modern specialists in engineering fields need not only deep knowledge but also the ability to use mathematical packages of application programs (MPAP) to solve complex problems. Despite the significant advantages of MPAP, their use in the educational process is limited due to methodological insecurity and lack of knowledge among teachers. In this article, the authors examine the effectiveness of MPAP in the training of specialists and develop methodological recommendations for their integration into the educational process. An analysis of the didactic capabilities of MPAP (MatLab, MatchCad, Mathematica, SciLab, Octave) and an experimental verification of their effectiveness at the Faculty of Physics and Mathematics showed that MPAP: increases interest in learning mathematics; provide opportunities for visualization of material, individualization of learning, development of graphic culture, involvement in research work, independent preparation and control of knowledge. The developed methodical recommendations for the integration of MPAP in the educational process will help overcome the problems associated with their use and improve the quality of training of specialists.

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