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Документ Історія та сучасність фізико-математичного факультету Сумського державного педагогічного університету імені А.С. Макаренка (1924–2024)(СумДПУ імені А.С. Макаренка, 2024) Каленик Михайло Вікторович; Kalenyk Mykhailo ViktorovychУ статтях і біографічних нарисах підсумовано результати 100-річної діяльності професорсько-викладацького складу фізико-математичного факультету Сумського державного педагогічного університету імені А.С. Макаренка та його попередників. Висвітлені етапи історії фізикоматематичної освіти, а також сьогодення та перспективи розвитку кафедр факультету. Подано короткі нариси про науково-педагогічну діяльність викладачів факультету. Видання адресоване широкому колу науковців, учителів, студентів.Документ The use of Adaptive Learning in the Study of Natural and Mathematical Disciplines as a Means of Developing Students’ Independence(2022) Sikora Yaroslava; Kalenyk Mykhailo Viktorovych; Hubina Svitlana; Vasiuta Viktoriia; Vasiuta Vasyl; Сікора Ярослава; Каленик Михайло Вікторович; Губіна Світлана; Васюта Вікторія; Васюта ВасильOne of the ways to improve the quality of general education is the development of science-based methodological systems for teaching mathematics, the activation of the educational process, the optimization of pedagogical and cognitive activities of students, the development of their creative potential, the strengthening of the role and importance of the teacher in the independent and individual work of students with innovative pedagogical technologies in the educational process. The introduction of new adaptive learning technologies into the educational process, based on computer support for an independent pedagogical and cognitive activity, opens up prospects for expanding and deepening the theoretical knowledge base. It integrates pedagogical disciplines and differentiates learning, intensifying the educational process. It activates educational and cognitive activities, expanding opportunities for communication between students and teachers. It increases the share of independent educational activities, revealing the creative potential of all subjects of educational activities. The purpose of the academic paper is to reveal the features of using various adaptive learning tools for forming students’ independence skills in the process of mastering natural sciences and mathematical disciplines. Methodology. In the process of fulfilling this scientific work, an analytical method was used to study literary sources on applying adaptive learning technologies and the developing independence of education seekers, as well as an online survey for the practical clarification of certain aspects of using adaptive learning tools in classes in natural sciences and mathematical disciplines. Results. Based on the research results, the main directions of studying the issue of developing students’ independence from the perspective of using the adaptive tools in the educational process when mastering natural sciences and mathematical disciplines by the education seekers have been established. Along with this, the advantages of individual adaptive learning tools have been clarified, and possible ways to improve natural science and mathematical education have been outlined from the viewpoint of the main possibilities of their application.Документ Gamification in Developing Readiness for Self-Fulfillment in Students of Higher Educational Institutions(2023) Tsurkan Liudmyla; Dubinka Mykola; Savchenko Nataliia; Slipchyshyn Lidiia; Kalenyk Mykhailo Viktorovych; Цуркан Людмила; Дубинка Микола; Савченко Наталія; Сліпчишин Лідія; Каленик Михайло ВікторовичThe aim of the article is to study the peculiarities of the issue of gamification when developing readiness for self-fulfillment in students of higher educational institutions (HEIs) in the course of education. Methods. The research involved testing, factor analysis, and statistical data processing. The following research methods were used: the Ryff Scales of Psychological Well-Being (RPWB); the Personal Orientation Inventory (POI). Reliability of tools and methods was determined using Cronbach’s α. Statistical data were processed using Spearman’s correlation coefficient and Fisher’s test. Results. The following results were obtained during the research. The Self-acceptance Scale has the lowest arithmetic mean, which is also within the lower manifestation limit. There are no high indicators on this scale. The largest share of the sample — 61.25% — has a medium self-acceptance level, of which 32.5% are students of the experimental group (EG), and 28.75% are students of the control group (CG). Conclusions. Based on the obtained data, it is possible to unequivocally assert the effectiveness of gamification in developing students’ readiness for self-fulfillment. Prospects. It is necessary to continue the search for effective means of developing readiness for self-fulfillment in order to take into account the individual characteristics of each student. innovative education.Документ The Formation of Digital Competence by Means of Information and Communication Technologies Among Students of Higher Education(Revista Eduweb, 2023) Раkhomova T.; Hryhorieva V.; Omelchenko A.; Kalenyk Mykhailo Viktorovych; Semak L.; Пахомова Т.; Григор'єва В.; Омельченко А.; Каленик Михайло Вікторович; Семак Л.The increasing digitalization in all spheres of human activity demands the improvement of digital competence in the educational field. This article examines how information and communication technologies (ICT) can help form the digital competence of higher education students, enhancing skills in everyday, professional, and educational activities. The study focuses on the development of digital competence in university students through the use of ICT. The objective is to create an effective policy for the development of students' digital competence through the use of information technologies applicable in the educational process. The study's methodology includes outlining the key principles of digital competence, the current state of digital skills development, and the existing means for their development, as well as analyzing the organization of the educational process with the support of ICT. The findings of the study can be used to develop internal policies in universities, improve the skills of teaching staff, and allocate additional time to disciplines requiring attention to the study of digital tools applicable in practice.Документ Construction of Mathematical Model of Particle Movement by an Inclined Screw Rotating in a Fixed Casing(Eastern-European Journal of Enterprise Technologies, 2023) Volina T.; Pylypaka S.; Kalenyk Mykhailo Viktorovych; Dieniezhnikov Serhii Serhiiovych; Nesvidomin V.; Hryshchenko I.; Lytvynenko Ya.; Borodai A.; Borodai D.; Borodai Ya.; Воліна Т.; Пилипака С.; Каленик Михайло Вікторович; Дєнєжніков Сергій Сергійович; Несвідомін В.; Грищенко І.; Литвиненко Я.; Бородай А.; Бородай Д.; Бородай Я.Screw conveyors are used to move bulk materials vertically upwards, horizontally, and at an angle to the horizon. The processes that take place when particles are moved by a screw conveyor in vertical and horizontal directions have been studied. There is a significant difference between them: for transportation in the vertical direction, the necessary conditions must be ensured (sufficient angular speed of rotation of the screw), and for horizontal transportation, the movement of the particle occurs at any angular speed of rotation of the screw. Therefore, when changing the inclination of the axis of the screw, there comes a moment when transportation becomes possible, while it was impossible in the vertical direction. This paper considers the movement of a particle under the condition that it simultaneously contacts two surfaces: the moving surface of the screw and the stationary surface of the cylindrical casing in which the screw rotates. Their common line along which the particle slides is a helical line – the periphery of the screw. The particle slides along the helical line of the rotating screw, i.e., it is in relative motion with respect to it. At the same time, it slides along the surface of the casing, relative to which it is in absolute motion. The trajectory of the particle’s absolute motion is its sliding track on the casing surface. When constructing differential equations of the relative motion of particles, the forces applied to the particle were taken into account. The initial position was taken to be the vertical direction of the screw to transport the particle upwards. If an auger in a cylindrical casing is tilted from the vertical direction to a certain angle, then all applied forces (except the force of weight) will also tilt to this angle. On the basis of this, generalized differential equations of the relative motion of a particle during its transportation by an inclined screw were built. They made it possible to derive a generalized mathematical model of the movement of a particle by an inclined screw that rotates inside a fixed casing.Документ Non-Vacuum Design of CuGaxIn1–xSe2 Films for Solar Energy Applications(Metallophysics and Advanced Technologies, 2023) Kovachov S.; Tikhovod K.; Kalenyk Mykhailo Viktorovych; Bohdanov I.; Sychikova Yа.; Ковачов С.; Тиховод К.; Каленик Михайло Вікторович; Богданов І.; Сичікова Я.The study reports on a non-vacuum synthesis method for CuGaхIn1–хSe2 films for solar energy applications. The films are formed by pulverising chlorides of indium, gallium, and cuprum with selenious acid. To optimise the blend composition of films, it is proposed to age the obtained structure in a sodium chloride solution and to carry out additional selenization of the surface in a diffusion furnace. The resulting layers are investigated using SEM, EDX, XRD, and Raman methods. As determined, the film is a polycrystalline structure of chalcopyrite CuGa0.6In0.4Se2 with agglomerates of porous crystallites. Secondary phases are not detected. The proposed method does not require a vacuum, and it is simple and inexpensive that opens the prospect of using it on an industrial scale for the synthesis of CuхGaIn1–хSe2 metal films.Документ Determining the Shape of a Flexible Thread in the Field of Horizontal and Vertical Forces(Eastern-European Journal of Enterprise Technologies, 2024) Volina T.; Pylypaka S.; Nesvidomin V.; Kalenyk Mykhailo Viktorovych; Spirintsev D.; Dieniezhnikov Serhii Serhiiovych; Hryshchenko I.; Rebrii A.; Herashchenko T.; Soloshchenko Viktoriia Mykolaivna; Воліна Т.; Пилипака С.; Несвідомін В.; Каленик Михайло Вікторович; Спірінцев Д.; Дєнєжніков Сергій Сергійович; Грищенко І.; Ребрій А.; Геращенко Т.; Солощенко Вікторія МиколаївнаIn theoretical mechanics, the equilibrium of a flexible, inextensible thread is considered, to which the tension force of its ends and the distributed force of weight along the length of its arc are applied. An unsolved problem is finding the shape of the thread under the action of other distributed forces. This study has considered the equilibrium of a completely flexible thread, to which, in addition to this force, a transverse distributed force is applied. A sail serves as an example. Wind of equal intensity in the plane of the orthogonal section of the sail can be considered a distributed force. The sail can be cut into narrow strips with the same shape of the curves of the cross-section, which are equal to the cross-section of the sail as a whole. The theory of flexible thread is applied in the current study. The task is reduced to finding the curve of the cross-section of the sail. The object of research is the formation of a cylindrical surface from a flexible thread under the action of distributed forces applied to it. An important characteristic of the shape of a flexible thread is its curvature. Its dependence on the length of the arc was found and it was established that the found curve is a chain line (catenary). This is the feature of the current research and its distinguishing characteristics. The significance of the results stems from the derived analytical dependences, according to which the change in the ratio between the distributed forces acting on the flexible thread deforms it, but it retains the shape of the catenary. At the same time, the angle of deviation of its axis of symmetry from the vertical changes. In the absence of a horizontal distributed force and the presence of only a distributed force of weight, the axis of symmetry of the chain line is directed vertically – at an angle of 90° to the horizontal. If they are equal, this angle is 45°. Scope of application includes structures with stretched supporting wires, conveyor belts, flexible suspended ceilings, the shape of which can be calculated by using our results.Документ 3D-моделювання у навчанні фізики(ФОП Цьома С. П., 2021) Каленик Михайло Вікторович; Kalenyk Mykhailo ViktorovychУ статті обговорюються аспекти використання 3D-моделювання у навчанні фізики з метою попереднього відпрацювання низки експериментальних дій та операцій, формування загальних підходів до планування та проведення окремих етапів експериментального дослідження, а також збільшення рівня сформованості умінь та навичок у виконанні фізичного експерименту.Документ Application of Mind Mapping Technique in Teaching Physics in General Secondary Education Institutions(International Science Group, Boston : Primedia eLaunch, 2024) Kalenyk Mykhailo Viktorovych; Каленик Михайло ВікторовичThe monograph explores the methodology of using mind mapping technique in teaching physics in general secondary education. The basics of creating mind maps, their effectiveness in visualizing and structuring complex information, including physical phenomena and laws, are described. The advantages of the methodology are considered: the development of critical thinking, increasing motivation to learn, facilitating the memorization of material. The key stages of implementing mind mapping in physics lessons and the role of this technique in shaping students' creativity and analytical skills are outlined. The work focuses on the psychological and pedagogical aspects of the technique, its impact on the quality of the educational process and individualization of learning.Документ Designing a Helical Knife for a Shredding Drum Using a Sweep Surface(Eastern-European Journal of Enterprise Technologies, 2024) Pylypaka S.; Hropost V.; Nesvidomin V.; Volina T.; Kalenyk M.; Volokha M.; Zalevska O.; Shuliak I.; Dieniezhnikov Serhii Serhiiovych; Motsak Svitlana Ivanivna; Пилипака С.; Хропост В.; Несвідомін В.; Воліна Т.; Каленик Михайло Вікторович; Волоха М.; Залевська О.; Шуляк І.; Дєнєжніков Сергій Сергійович; Моцак Світлана ІванівнаThe object of this paper is a helical blade in a shredding drum from a sweep surface. Such drums are used in harvesters for crushing plant mass. If the flat blades are installed on the drum, cutting of the plant mass occurs simultaneously along the entire length of the blade. This could cause a pulsating dynamic load. If a flat knife with a straight blade is installed at an angle to the axis of the drum, then the distances from it to the points of the blade will be different, as well as the cutting conditions along the blade. The elliptical shape enables the same distance from the axis of rotation to the points of the blade, but this does not solve the problem. Many short flat knives with a straight blade can be mounted on the drum, placing them in such a way that the time between the individual knives is minimized. However, all these disadvantages can be eliminated by a helical knife with a blade in the form of a helical line. The design of a helical knife from an unfolding helicoid has been considered. In differential geometry, the bending of unfolded surfaces of zero thickness is considered. Bending of the workpiece into a finished product occurs with minimal plastic deformations, the magnitude of which depends on the thickness of the workpiece sheet. The methods of differential geometry of unfolding surfaces were applied to the analytical description of the surface of the helical knife. The parametric equations of the unfolding helicoid were derived according to the given structural parameters of the knife in space and on the plane. That has made it possible to mathematically describe the contour lines that cut the knife from the surface and on its sweep. Formulae for calculating a flat workpiece through the structural parameters of the knife have been derived. Thus, with the specified structural parameters of the knife R=0.25 m, τ=20°, j=65°, according to the resulting formula, we find the radius of the knife blade on a flat workpiece: R0=4.8 mДокумент Constructing a Model of the Axis Form in a S-Shaped Riser of a Cultivator Paw(Eastern-European Journal of Enterprise Technologies, 2024) Pylypaka S.; Hropost V.; Volina T.; Kalenyk Mykhailo Viktorovych; Ruzhilo Z.; Dieniezhnikov Serhii Serhiiovych; Tarelnyk N.; Tatsenko O.; Semirnenko S.; Motsak Svitlana Ivanivna; Пилипака С.; Хропост В.; Воліна Т.; Каленик Михайло Вікторович; Ружило З.; Дєнєжніков Сергій Сергійович; Тарельник Н.; Таценко О.; Семірненко С.; Моцак Світлана ІванівнаWhen cultivating the soil, a force of resistance to the movement of cultivator paw acts on it. It has a variable value and causes a moment of force applied to the riser of the paw. Under the action of the moment, the elastic axis of the riser changes its shape. This affects the position of the paw in the soil. The form of an S-shaped riser whose elastic axis consists of two circle arcs has been considered in this study. During cultivator operation, one part of the riser bends, increasing the curvature of the elastic axis, and the other, on the contrary, unbends, that is, its curvature decreases. The modeling of the shape of the elastic axis of the paw riser is based on the theory of resistance of materials, according to which the curvature of the elastic axis of the cantilevered band is directly proportional to the applied moment and inversely proportional to its stiffness. If the shape of the cross-section of the riser along its entire length is unchanged and the properties of the metal are also the same, then the stiffness is constant. In the case of small deflections of the band, the linear theory of bending is used, but the deflections in the riser are significant, so the nonlinear theory has been used for this case. At the same time, it is taken into account that the elastic axis of the riser already has an initial curvature, the sign of which changes after passing through the point of connection of the component arcs. To model the shape of the elastic axis of the S-shaped paw riser, the deformation of the arcs of the circles that form this paw was calculated separately. Numerical integration methods were used to find the shape of the deformed elastic axes of both parts of the riser. They were connected into a whole and a deformed elastic axis of the S-shaped riser was obtained. Two variants of the riser with different lengths of their elastic axis, but the same height and the same angle of entry into the soil, were considered. The combination of the component arcs of the riser shows that, under the action of the same force, the deviation from the specified movement depth for one riser is 2 cm, and for the other – 4 cmДокумент Organization of Online Education in Physics at School Using Modern Information Technologies(Publishing House of University of Technology, Katowice, 2022) Каленик Михайло Вікторович; Kalenyk Mykhailo ViktorovychThe method of using modern information technologies for the organization of online classes in physics at school is proposed. It is based on an integrative model of the educational process. Multimedia technologies are considered when working with educational texts, conducting a physical experiment, solving problems, managing the educational activities of students, repeating the studied material, checking, recording knowledge, organizing independent activities of students. Ways of organizing distance learning in synchronous mode using video conferences, interactive animations of processes and phenomena, training exercises, web 2.0 technology, and cloud services are offered.Документ Use of Elements of Distance Learning of Students in the Course of Methods of Teaching Physics(2021) Каленик Михайло Вікторович; Kalenyk Mykhailo ViktorovychAs practice shows, in most cases, teachers in the process of distance learning are limited to placing the lecture course in electronic form and the introduction of an automated testing system at the control stage. The article considers some issues of methods of organization distance learning students of pedagogical specialties during methods of teaching physics.Документ Implementation of the Principle of Continuation of Physical Education in Primary and Primary Schools(2021) Каленик Михайло Вікторович; Kalenyk Mykhailo ViktorovychThe curricula of the new Ukrainian school for grades 1-4, grades 5-6, physics programs for grades 7-11 and the content classification between subjects are analyzed. Appropriate methodological improvements are proposed to close the gap between primary and secondary education, in the context of studying certain physical concepts, by improving the adaptation of students in the transition from primary to primary school, in particular, in the transition from certain issues of mathematics, science and others to physics, where the implementation of subject competence. In view of this, it is suggested that primary and secondary school teachers, when studying the components of the content of the school course of physics, follow the generalized plans for their study, as in the school course of physics.Документ Organization of Students 'Project Activities in Physics Lessons(2021) Каленик Михайло Вікторович; Kalenyk Mykhailo ViktorovychThe article shows that in the design process students are required not only to identify but also to substantiate certain essential features of the content component of the school course of physics. Therefore, forming a holistic view of the components, you can limit yourself to a system of questions that play the role of cognitive tasks, solving which in small groups, students get one or more essential features of the component. The most rational ways of formation and use in the course of training of the generalized systems of independent works of the pupils directed on development of their creative activity, independence, thinking are specified.Документ Методика формування умінь в учнів розв’язувати фізичні задачі(2020) Каленик Михайло Вікторович; Kalenyk Mykhailo ViktorovychСтаття присвячена актуальному питанню формування у школярів умінь розв'язувати фізичні задачі. Автор аналізує різноманітні підходи до визначення поняття "задача" та класифікації фізичних задач. Окрему увагу приділено алгоритмам розв'язування задач та їх ролі у формуванні вмінь учнів. Автор пропонує детальний аналіз процесу розв'язування фізичних задач, включаючи етапи аналізу умови, планування розв'язку, виконання плану та аналіз отриманого результату. Стаття також розглядає різні форми організації роботи учнів над розв'язанням задач (колективна, індивідуальна, змішана) та пропонує методичні рекомендації щодо формування вмінь розв'язувати фізичні задачі.Документ Погляди на стуктуру уроку в сучасному навчальному процесі(2020-11-16) Каленик Михайло Вікторович; Kalenyk Mykhailo ViktorovychСтаття присвячена аналізу сучасних поглядів на структуру уроку як основної одиниці навчального процесу. Автор досліджує різноманітні підходи до класифікації типів уроків та пропонує власну модель циклічності навчального процесу, засновану на ідеї послідовного формування понять та навичок. У статті розглядаються різні компоненти уроку, їх взаємозв'язки та роль у досягненні навчальних цілей. Автор акцентує увагу на необхідності враховувати особливості кожного навчального предмета та вікові особливості учнів при плануванні структури уроків. Стаття буде корисною для вчителів фізики та інших предметів, які прагнуть оптимізувати свій навчальний процес.Документ Формування предметних компетентностей майбутніх вчителів фізики та математики засобами та технологіями cучасного освітнього середовища(СумДПУ імені А. С. Макаренка, 2020) Завражна Олена Михайлівна; Zavrazhna Olena Mykhailivna; Салтикова Алла Іванівна; Saltykova Alla Ivanivna; Шкурдода Юрій Олексійович; Shkurdoda Yurii Oleksiiovych; Мороз Іван Олексійович; Moroz Ivan Oleksiiovych; Каленик Михайло Вікторович; Kalenyk Mykhailo Viktorovych; Іваній Володимир Степанович; Ivanii Volodymyr Stepanovych; Одінцова Оксана Олександрівна; Odintsova Oksana Oleksandrivna; Мартиненко Олена Вікторівна; Martynenko Olena Viktorivna; Шишенко Інна Володимирівна; Shyshenko Inna Volodymyrivna; Чкана Ярослав Олегович; Chkana Yaroslav Olehovych; Drushliak Maryna Hryhorivna; Друшляк Марина Григорівна; Коваленко Наталія Володимирівна; Kovalenko Nataliia Volodymyrivna; Осьмук Наталія Григорівна; Osmuk Nataliia Hryhorivna; Пухно Світлана Валеріївна; Pukhno Svitlana Valeriivna; Балабан Ярослав Романович; Balaban Yaroslav RomanovychУ монографії, що є результатом колективної праці педагогів науковців, висвітлено теоретико‐методичні засади формування предметних компетентностей майбутніх вчителів фізики та математики засобами та технологіями сучасного освітнього середовища. У виданні розкрито основні питання формування спеціальних фахових компетентностей майбутніх учителів фізики та математики під час навчання фізики та методики її навчання, під час навчання дисциплін математичного циклу та питання формування предметних компетентностей дисциплін психолого-педагогічного циклу. Монографія розрахована на широке коло читачів, а також викладачів, аспірантів і студентів усіх форм навчання.Документ Узагальнені норми груп(СумДПУ імені А. С. Макаренка, 2019) Лиман Федір Миколайович; Лукашова Тетяна Дмитрівна; Друшляк Марина Григорівна; Lyman Fedir Mykolaiovych; Lukashova Tetiana Dmytrivna; Drushliak Maryna HryhorivnaУ монографії досліджуються групи залежно від властивостей їх узагальнених норм.Документ Інноваційні підходи до організації самостійної роботи майбутніх учителів математики при вивченні фахових дисциплін(2017) Мартиненко Олена Вікторівна; Martynenko Olena Viktorivna; Чкана Ярослав Олегович; Chkana Yaroslav OlehovychДослідження присвячено теоретичному обґрунтуванню доцільності упровадження інноваційних дидактичних засобів організації самостійної роботи майбутніх учителів математики при вивченні математичних дисциплін в умовах компетентнісного навчання; визначенню їх функцій, принципів розробки та складових; розкриттю можливостей та переваг використання соціальних Internetмереж для підвищення ефективності навчання та управління процесом самостійної роботи студентів вищих педагогічних навчальних закладів.