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Документ Cloud-based Service GeoGebra and its Use in the Educational Process: the BYOD-approach(2019) Семеніхіна Олена Володимирівна; Друшляк Марина Григорівна; Бондаренко Юлія Анатоліївна; Кондратюк Світлана Миколаївна; Дегтярьова Неля Валентинівна; Semenikhina Olena Volodymyrivna; Drushliak Maryna Hryhorivna; Bondarenko Yuliia Anatoliivna; Kondratiuk Svitlana Mykolaivna; Dehtiarova Nelia ValentynivnaПоказати більше The authors propose one of the possible ways to solve the problem of insufficient number of computers in public educational institutions and limited access to computer classes in Ukraine. Such a way is the introduction of the BYOD-approach (Bring Your Own Device) in the learning process. The authors specify the content and correlation of the concepts of "information technologies", "computer technologies", "cloud technologies" to determine the type of service GeoGebra. The authors propose different ways of using the GeoGebra service. They are studied to prepare future math teachers for the use of modern information (digital) technologies in professional activities.Показати більше Документ Computer Mathematical Tools: Practical Experience of Learning to Use Them(2014) Semenikhina Olena Volodymyrivna; Семеніхіна Олена Володимирівна; Drushliak Maryna Hryhorivna; Друшляк Марина ГригорівнаПоказати більше The article contains general information about the use of specialized mathematics software in the preparation of math teachers. The authors indicate the reasons to study the mathematics software. In particular, they analyze the possibility of presenting basic mathematical courses using mathematical computer tools from both a teacher and a student, argue in favour of using software instead of traditional paper-and-board style. The special course of the study of mathematics software (main tasks of the course are disclosed; knowledge and skills that students should possess on completion of their studies are dedicated; content of computer workshop is detailed) is briefly described. Also the authors give a detailed solution and its methodic basis of typical problem with the use of the SCM Maple. The typical errors which made by students in the use of specialized mathematics packages are characterized. Author’s own experience of teaching computer workshop of the study of mathematical computer tools by the students of Sumy State Pedagogical Makarenko University is presented and analyzed.Показати більше Документ Computer Tools “Trace” and “Locus” in Dynamic Mathematics Software(2014) Drushliak Maryna Hryhorivna; Друшляк Марина ГригорівнаПоказати більше The article describes the results of use of tools "Trace" and "Locus" in dynamic mathematics software. Examples of solutions of stereometric locus problems to construct static traces in software GeoGebra5.0, Cabri3D and plane geometry problems to construct both static traces and traces that are perceived as independent dynamic objects in software MathKit and GeoGebra are given. Attention is focuses on the differences of the actions of these tools. Author notes the possibility of forming a logical and constructive thinking with their use.Показати більше Документ Computer Visualization of Logic Elements of the Information System Based on PROTEUS(2019) Shamonia Volodymyr Hryhorovych; Semenikhina Olena Volodymyrivna; Drushliak Maryna Hryhorivna; Lynnyk Serhii Ivanovych; Шамоня Володимир Григорович; Семеніхіна Олена Володимирівна; Друшляк Марина Григорівна; Линник Сергій ІвановичПоказати більше The article considers the possibility of a computer visualization of the code decoder work in Proteus, which is used in a laboratory workshop when studying the topic "Digital logic" of the discipline "Architecture of Information Systems" (the field of study “12 Information technologies” and “01 Education, 014 Secondary education. Computer science”). Modelling and simulation dur-ing the laboratory work contribute to the awareness of the importance of visual-ization as a means of positive impact on the level of future IT-specialists’ edu-cational achievements. This was confirmed by the analysis of the obtained re-sults at the significance level of 0.05 according to Student’s test.Показати більше Документ Conditions of Dedekindness of Generalized Norms in Non-periodic Groups(2019) Lukashova Tetiana Dmytrivna; Drushliak Maryna Hryhorivna; Lyman Fedir Mykolaiovych; Лукашова Тетяна Дмитрівна; Друшляк Марина Григорівна; Лиман Федір МиколайовичПоказати більше The authors consider generalized norms for different systems of infinite and noncyclic subgroups in nonperiodic groups. Relations between these norms are established. The conditions under which the given norms are Dedekind, in particular, central, are studied.Показати більше Документ Dynamic Mathematics Software as a Necessary Component of Modern-Math-Teachers Preparation in Ukraine(2016) Semenikhina Olena Volodymyrivna; Семеніхіна Олена Володимирівна; Drushliak Maryna Hryhorivna; Друшляк Марина ГригорівнаПоказати більше The article discusses the relevance of the study of dynamic Mathematics software by future math teachers in Ukraine. The focus is on the requirement, not only to know about specialized dynamic software, but also to be able to organize an effective learning process with its usage. The arguments for the organization of special courses in the study of dynamic Mathematics software are based on the need to demonstrate the skills of usage of modern Mathematics software. The authors describe their own experience of teaching the course at A. S. Makarenko Sumy State Pedagogical University (Ukraine), which is included in the curricula as variable course of math-teacher preparation, in particular, the successive changes of the content of the course, due to constant and rapid development of Information Technology, during all periods of learning.Показати більше Документ Finite 2-Groups with a Non-Dedekind Non-Metacyclic Norm of Abelian Non-Cyclic Subgroups(2019) Lyman Fedir Mykolaiovych; Лиман Федір Миколайович; Lukashova Tetiana Dmytrivna; Лукашова Тетяна Дмитрівна; Drushliak Maryna Hryhorivna; Друшляк Марина ГригорівнаПоказати більше The authors study ﬁnite 2-groups with non-Dedekind non-metacyclic norm of Abelian non-cyclic subgroups depending on the cyclicness or the noncyclicness of the center of a group G. The norm is deﬁned as the intersection of the normalizers of Abelian non-cyclic subgroups of G. It is found out that such 2-groups are cyclic extensions of their norms of Abelian non-cyclic subgroups. Their structure is described.Показати більше Документ Generalized Norms of Groups(2016) Drushliak Maryna Hryhorivna; Друшляк Марина Григорівна; Lukashova Tetiana Dmytrivna; Лукашова Тетяна Дмитрівна; Lyman Fedir Mykolaiovych; Лиман Федір МиколайовичПоказати більше In this survey paper the authors have tried to specify all the known results concerning the norms of the group and its generalizations. Special attention is paid to the analysis of their own research of different generalized norms, particularly the norm of non-cyclic subgroups, the norm of Abelian non-cyclic subgroups, the norm of infinite subgroups, the norm of infinite Abelian subgroups and the norm of other systems of Abelian subgroups.Показати більше Документ GeoGebra as Means of Improving the Quality of Education(2018) Семеніхіна Олена Володимирівна; Semenikhina Olena Volodymyrivna; Друшляк Марина Григорівна; Drushliak Maryna Hryhorivna; Зігунова Інна Сергіївна; Zihunova Inna Serhiivna; Будянський Дмитро Васильович; Budianskyi Dmytro VasylovychПоказати більше The article substantiates the use of dynamic mathematics software as effective means of formation of the functional thinking of pupils, which directly impact on the quality of mathematical education. The constructive approaches to solving mathematical problems by GeoGebra reduce the weight of analytical calculations. Such approaches put forward the need for skills to constract the desired configuration, take into account the dependencies between its parameters, visualize positions of possible results, even "see" the desired function, for which you need to determine extreme. The authors use GeoGebra in solving extreme problems using method based on constructing an empirical graph of the relations between the values and defining of extremum. Another method is based on the visualisation of spreadsheets of the values of the empirical function and their analysis. The effectiveness of the proposed approach was tested during 2015-2017 and was experimentally confirmed in the work on the research topic "The use of information technology in education" through the organization of math group works for pupils in the Sumy region. We tracked the overall level of academic achievement and its dynamics. Since the scale had two positions (right/wrong) and the results of educational achievements were not dependent on each other, we used the sign test. The statistical check at the significance level of 0.05 confirmed the positive impact of the group works on the quality of mathematical preparation of pupils.Показати більше Документ On Computer Support of the Course “Fundamentals of Microelectronics” by Specialized Software: the Results of the Pedagogical Experiment(2020) Semenikhina Olena Volodymyrivna; Drushliak Maryna Hryhorivna; Lynnyk Serhii Ivanovych; Kyryliuk Hanna; Kharchenko Inna Ivanivna; Honcharenko Olena; Семеніхіна Олена Володимирівна; Друшляк Марина Григорівна; Линник Сергій Іванович; Кирилюк Ганна; Харченко Інна Іванівна; Гончаренко ОленаПоказати більше The awareness of the ideas about the work of modern computers is important for the future IT-specialists’ preparation. Processes occurring in the middle of the computing system are based on the work of the physical devices, the modeling of which is advisable to carry out in simulation software. The authors consider the problem of choosing simulation software of physical processes. The experience of teaching a microelectronics course allowed to choose two simulation software: Proteus and Multisim. The pedagogical experiment on the choice of the optimal simulation software to support the course of microelectronics, which is studied by future ITspecialists and computer science teachers, was conducted based on Makarenko Sumy State Pedagogical University (Ukraine). The comparative analysis of the individual characteristics of the simulation software prefers Proteus. However, the results of the pedagogical experiment confirm the feasibility of attracting Multisim.Показати більше Документ On Finite 2-Groups With Non-Dedekind Norm of Abelian Non-Cyclic Subgroups(2016) Lyman Fedir Mykolaiovych; Лиман Федір Миколайович; Lukashova Tetiana Dmytrivna; Лукашова Тетяна Дмитрівна; Drushliak Maryna Hryhorivna; Друшляк Марина ГригорівнаПоказати більше The authors study finite 2-groups with the cyclic center and non-metacyclic non-Dedekind norm of Ab elian non-cyclic subgroups. It is found out that such groups are cyclic or metacyclic extensions of their norms of Abelian non-cyclic subgroups. Their structure is described.Показати більше Документ On Groups With the Minimal Condition for Non-Invariant Decomposable Abelian Subgroups(2006) Lyman Fedir Mykolaiovych; Лиман Федір Миколайович; Drushliak Maryna Hryhorivna; Друшляк Марина ГригорівнаПоказати більше The infinite groups, in which there is no any infinite descending chain of non-invariant decomposable abelian subgroups (md-groups)are studied. Infinite groups with the minimal condition for non-invariant abelian subgroups, infinite groups with the condition of normality for all decomposable abelian subgroups and others belong to the class of md-groups. The complete description of infinite locally finite and locally soluble non-periodic md-groups is given, the connection of the class of md-groups with other classes of groups are investigated.Показати більше Документ On the Non-cyclic Norm in Non-periodic Groups(2020) Lukashova Tetiana Dmytrivna; Lyman Fedir Mykolaiovych; Drushliak Maryna Hryhorivna; Лукашова Тетяна Дмитрівна; Лиман Федір Миколайович; Друшляк Марина ГригорівнаПоказати більше The authors study non-periodic locally soluble by finite groups with the non-Dedekind norm of non-cyclic subgroups, which is the intersection of normalizes of all non-cyclic subgroups of a group. It is found that all non-cyclic subgroups are normal in these groups. Their structure is described.Показати більше Документ On the Results of a Study of the Willingness and the Readiness to Use Dynamic Mathematics Software by Future Math Teachers(2015) Semenikhina Olena Volodymyrivna; Семеніхіна Олена Володимирівна; Drushliak Maryna Hryhorivna; Друшляк Марина ГригорівнаПоказати більше The article presents the results of pedagogical research on the willingness and the psychological readiness to use dynamic mathematics software by future math teachers. We used nonparametric method for dependent samples – the McNemar’s test. The hypothesis, that the study of Special course on the use of dynamic mathematics software for future teachers has a positive impact on the willingness and the psychological readiness to use such software in their own professional activities, is confirmed at the significance level of 0.05. Additionally, the results of the experiment on the willingness and the readiness to support the teaching of some subjects (algebra, planimetry, solid geometry and analysis) with dynamic mathematics software and the willingness and the readiness to use some dynamic mathematics software (Gran (Gran1, Gran2d, Gran3d), GeoGebra, Сabri, MathKit, DG, GS) by Ukrainian math teachers is given.Показати більше Документ Open Educational Resources as a Trend of Modern Education(2019) Семеніхіна Олена Володимирівна; Друшляк Марина Григорівна; Бондаренко Юлія Анатоліївна; Кондратюк Світлана Миколаївна; Іонова Ірина Миколаївна; Semenikhina Olena Volodymyrivna; Drushliak Maryna Hryhorivna; Bondarenko Yuliia Anatoliivna; Kondratiuk Svitlana Mykolaivna; Ionova Iryna MykolaivnaПоказати більше The article presents the results of the study of open educational resources in mathematical disciplines. The purpose of the article is to summarize the experience of teaching mathematical courses based on quantitative analysis of the corresponding open educational resources and determination of ways of using such resources in the conditions of Ukrainian universities. The definition of open educational resources and their specific features are specified, in particular, support of different formats for presentation of materials, their publication under conditions of an open license, provision of free access, the possibility of modification of materials by other users. The analysis of the number of open educational resources Coursera, Edx, Udemy, and INTUIT has revealed that the bulk of mathematical courses in relation to others is not large, which suggests a reduction in young people's interest in purely mathematical disciplines. At the same time, it was noted that the presence of such resources on the site of the university contributes to the formation of its positive image within the country and the world. The own experience of studying mathematical online courses on Analytical Geometry, Linear Algebra, Geometry and Mathematical Philosophy is described.Показати більше Документ Organization of Experimental Computing in GeoGebra 5.0 in Solving Problems of Probability Theory(2015) Semenikhina Olena Volodymyrivna; Drushliak Maryna Hryhorivna; Семеніхіна Олена Володимирівна; Друшляк Марина ГригорівнаПоказати більше The article analyzes the use of various mathematics software in the study of stochastic. The idea of dynamic visualization of the results of random experiments on the example of the classical problem of the meeting, which can be solved in two ways: using statistical definition of probability, which is based on random experiments, and traditionally using the geometric definition of probability. Some tasks, on the base of which the idea of visualization of the results of random experiments can be implemented, are offered with instructions.Показати більше Документ The Necessity to Reform Mathematics Education in Ukraine(2015) Semenikhina Olena Volodymyrivna; Drushliak Maryna Hryhorivna; Семеніхіна Олена Володимирівна; Друшляк Марина ГригорівнаПоказати більше The article makes an argument for the reform of mathematical education in Ukraine. Authors trace the impact of information technologies on the learning process, development, and updating of mathematics software and identify the reasons for this reform. Possible paths of transformation of the math education system are demonstrated, taking into account the harmonious combination of mathematical knowledge and specialized mathematics software; the level of development of mathematics software and its study; update of the curricula by introducing a course, “Computer Mathematics”; use of research approaches instead of computational ones; and formation of cross-disciplinary and extracurricular links in Mathematics.Показати більше Документ The Use of Virtual Physics Laboratories in Professional Training: the Analysis of the Academic Achievements Dynamics(2020) Semenikhina Olena Volodymyrivna; Drushliak Maryna Hryhorivna; Yurchenko Artem Oleksandrovych; Udovychenko Olha Mykolaivna; Budianskyi Dmytro Vasylovych; Семеніхіна Олена Володимирівна; Друшляк Марина Григорівна; Юрченко Артем Олександрович; Удовиченко Ольга Миколаївна; Будянський Дмитро ВасильовичПоказати більше The development of information technology cause the emergence of different classes of software such as virtual environment for various experiments. Among such a software, there are virtual physics laboratories that are means for educational, scientific and professional activities of physicists, physics teachers, computer science teachers and IT specialists. Numerous pedagogical findings confirm both positive dynamics and negative impact of such software on educational achievements. Given the ambiguity of the conclusions, we have formulated the problem: is it advisable to use virtual physics laboratories instead of relevant physics devices in the study of physics disciplines. The search for an answer to this question caused the organization and carrying out the pedagogical experiment, the results of which are presented in the article. Students of specialties “014 Secondary education (Physics)”, “014 Secondary education (Computer Science)”, “122 Computer science” were participants in the experiment. The purpose of the experiment was to study the dynamics of educational achievements of students whose training used virtual physics laboratories. Non-parametric sign test and Student’s test of comparison average values were used as methods of statistical analysis. Because of the experiment, the positive dynamics for all specialties were confirmed, but the largest dynamics were for the specialty 122 “Computer science”, and the smallest ones were for the specialty 014 “Secondary education (Physics)”. The best dynamics of results of IT students' achievements gives grounds to recommend to include more courses related to the study of information technologies in professional teachers’ training, because we consider this to be the cause of these results.Показати більше Документ Training Pre-service Mathematics Teacher to Use Mnemonic Techniques(2021) Друшляк Марина Григорівна; Drushliak Maryna Hryhorivna; Семеніхіна Олена Володимирівна; Semenikhina Olena Volodymyrivna; Прошкін Володимир Вадимович; Proshkin Volodymyr Vadymovych; Сапожников Станіслав Володимирович; Sapozhnykov Stanislav VolodymyrovychПоказати більше The article reveals the issue of the appropriateness of training pre-service 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 pre-service 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 pre-service mathematics teachers to use the techniques of mnemonics in professional activities are determined.Показати більше Документ Using a Praxeology Approach to the Rational Choice of Specialized Software in the Preparation of the Computer Science Teacher(2018) Семеніхіна Олена Володимирівна; Semenikhina Olena Volodymyrivna; Друшляк Марина Григорівна; Drushliak Maryna Hryhorivna; Шишенко Інна Володимирівна; Shishenko Inna Volodymyrivna; Зігунов Василь Миколайович; Zigunov Vasyl MykolayovychПоказати більше From the positions of Praxeology, the aspects of the forming of the future teachers’ abilities to choose software that turns out to be the most rational for the solving of the professional task are considered in the article (on the example of computer science teachers’ preparation to use dynamic mathematics software (DMS). The forming of such abilities based on a formula "one task – different software" is described. The methodology of organization of such experimental studies on the base of Sumy State Pedagogical University (Ukraine) is described. The results of the statistical analysis of data are given on the basis of non-parametric sign test for dependent sample. It is educed that taking into account such approach provides the positive dynamics of the level of future informatics teachers’ preparation at the significance level of 0.05.Показати більше