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The paper analyzes the possibilities and justifies the feasibility of using and implementing cloud data processing services in the activities of a scientist and a research or educational institution unit. Objectives of the study: to outline the prospects and modern European trends in the use of cloud services in open systems of scientific research; Describe how to use Power BI services as a component of Office 365 in the activities of a scientist and analyze existing licensed offers of Power BI; generalize the experience of using the services of a cloud-based environment in the activities of a scientist and a scientific or educational institution. The object of research is: the process of processing data in open systems of scientific research. The subject of the study is: the use of cloud data processing services in supporting the activities of a scientist and a research institution. Research methods: analysis of documentation from the official site Power BI, observation, comparison, conversations with representatives of the company BIJB by the Center of competence of BI, analysis of existing experience of use, synthesis of the results of scientific and experimental research. In this paper, the features of using Power BI as a tool of Office 365 in comparison with traditional table processors are considered. A comparative analysis of the existing types of licensing that can be used in the activities of a scientist or a research research unit is conducted. The possibilities of using the free Desktop Licensing, which will be sufficient to cover the main and intermediate results of a scientist or research unit unit, are outlined. The feasibility of using and implementing Power BI as a tool of Office 365 is substantiated for the processing of quantitative and qualitative research results. Conclusions and recommendations: Using Desktop Power BI to process the results of an experimental study by a scientist will be quite enough. However, the Desktop Power BI functionality will be quite limited and not sufficiently adaptive to the work of a group of scientists in the research unit.

The article discusses the possibilities of using the integrated Word and Matlab environment for training students of the physics and mathematical profile of computing methods. This discipline plays an important role in the training of specialists in higher education in physics and mathematics, since it combines mathematical theory of methods, the study of which requires fundamental mathematical knowledge and knowledge of the basics of programming and special mathematical packages. The principles of creation, editing of the integrated environment (M-books), methods of executing Matlab commands in the created environment are considered. As a result, text documents are created directly in the word processor Word, through which complex scientific and technical calculations are carried out. The Word and Matlab integrated environment is a client-server system in which Word is a client, while Matlab is a server. In this paper it is proposed to use two types of M-books for studying numerical methods, namely: for viewing and performing laboratory works. The structure of such M-books is proposed. The structure of M-books for the study and execution of laboratory works is developed. In the paper, the M-books of simple iteration and Newton's methods for the approximate solving of a nonlinear equation with one variable are presented, as well as the M-book studying quadrature formulas of central rectangles and trapezoids. The examples of these M-books show the benefits of using the integrated Word and Matlab environment for teaching computing methods, namely, in a text document, along with mathematical numerical-theory theory, there are Matlab commands for implementing the method. This allows the student, after completing each step of the algorithm, to analyze the results obtained.

This article deals with scientific approaches to professional competencies development of future software engineers, described in the local and foreign literature. It was found, that software development process usually occurs in the context of software project management. According to various papers, the major challenge in the area of software project management is the high failure rate of software development projects. One of the main factors contributing to the failure of software development projects is that people, involved in the process, including software engineers, do not possess certain soft competencies, essential to the project success. Conducted a literature review of studies, published on the topic of professional competencies development of future software engineers. Found that for now there are plenty of papers on and scientific approaches to professional soft competencies development of future software engineers. As per the analysis in the article, present scientific approaches can be divided into three groups: ones, based on the correspondent extracurricular activities; ones, based on project-oriented learning, and ones, based on the use of Information and Communication Technologies, for example, game simulators in combination with lectures and educational projects. The above-mentioned groups of approaches are described in more details, broken down by papers of particular authors.

The article researches the development of computer-oriented learning and information and communication technologies implementation in the USA, describes the state of computerization and modernization at higher medical educational institutions of Ukraine, analyzes the experience of Danylo Halytsky Lviv National Medical University (DHLNMU), and the department of Latin and foreign languages in particular, in the sphere of new educational and Internet technologies usage for study. As the result of the study the first computerized programs used for the future physicians training have been characterized. It has been stated that for the first time computer technologies in higher medical education were used in the USA and served accessory learning function aimed at facilitating and improving pedagogical instruments and methods. Furthermore, the paper proves that information and communication technologies are commonly used as accessory learning tools by Ukrainian medical students. The process of computerization and ICTs implementation in the scope of higher medical education has been developing rapidly and has a big potential according to the results of the survey carried out at DHLNMU that are described in this paper.

The author substantiates that only methodological training systems of mathematical disciplines with implementation of information and communication technologies (ICT) can meet the requirements of modern educational paradigm and make possible to increase the educational efficiency. Due to this fact, the necessity of developing the methodology of theory of probability and stochastic processes computer-based learning for pre-service engineers is underlined in the paper. The results of the experimental study for analysis of the efficiency of methodological system of theory of probability and stochastic processes computer-based learning for pre-service engineers are shown. The analysis includes three main stages: ascertaining, searching and forming. The key criteria of the efficiency of designed methodological system are the level of probabilistic and stochastic skills of students and their learning motivation. The effect of implementing the methodological system of probability theory and stochastic processes computer-based learning on the level of students’ IT literacy is shown in the paper. The expanding of the range of objectives of ICT applying by students is described by author. The level of formation of students’ learning motivation on the ascertaining and forming stages of the experiment is analyzed. The level of intrinsic learning motivation for pre-service engineers is defined on these stages of the experiment. For this purpose, the methodology of testing the students’ learning motivation in the chosen specialty is presented in the paper. The increasing of intrinsic learning motivation of the experimental group students (E group) against the control group students (C group) is demonstrated.

This paper presents an analysis of social networks in terms of their possible use in the education system. The integration of new information and communication technologies with the technologies of learning is gradually changing the concept of modern education and promotes educational environment focused on the interests and personal development, achievement of her current levels of education, internationalization and increasing access to educational resources, creating conditions for mobility of students and teachers improving the quality of education and the formation of a single educational space. The peculiarity of such an environment is to provide creative research activity of the teacher and students in the learning process. Network services provide the means by which students can act as active creators of media content. The paper presents the results of a study of the advantages and disadvantages of using web communities in the educational process. Articulated pedagogical conditions of the effective organization of educational process in the virtual learning environment using social networks. The experience of the use of social networks in the learning process of the university. Such networking technologies, such as forums, blogs, wikis, educational portals and automated systems for distance learning, having undoubted didactic and methodological advantages, inferior social networks in terms of involving users in their communication space, as well as compliance with the intellectual, creative and social needs.

Lately, the information systems of different types, particularly systems to manage scientific research, have been widely introduced into education and science. However, the ways of optimizing the implementation of such systems as well as the improvement of their effectiveness have not been adequately studied. That is why further research is needed for possible ways of improving the information systems implementation. The effectiveness of the information systems implementation is largely dependent on the presence of a "friendly" interface system, on its usability. The goal of the paper is to determine the theoretical aspects of the "usability" concept and to study how the usability improves the efficiency of information systems in scientific research management. The subject of this research is to study the usability as a means of improving information systems efficiency using as an example the information system to manage scientific research at the National Academy of Pedagogical Sciences of Ukraine. This paper examines the main approaches to the evaluation of information systems usability. The paper also describes the testing of information system usability in research management. The research made it possible to conclude that the usability is a factor that increases the efficiency of an information system and allows potential users to better understand, organize and summarize business processes. Although the application of the principles of usability is a promising direction, it is one of the little studied problems in the Ukrainian systems engineering. The detailed study of usability basic rules will allow developers of information systems to create better products with "friendly" interfaces. These rules will help users better understand the content of newly created information resources and therefore will facilitate their implementation and usage.

The article investigated the concept of «virtual laboratory». This paper describes models of deploying of cloud technologies in IT infrastructure. The hybrid model is most recent for higher educational institution. The author suggests private cloud platforms to deploying the virtual laboratory. This paper describes the experience of the deployment enterprise cloud in IT infrastructure of Department of Physics and Mathematics of Ternopil V. Hnatyuk National Pedagogical University. The object of the research are virtual laboratories as components of IT infrastructure of higher education. The subject of the research are clouds as base of deployment of the virtual laboratories. Conclusions. The use of cloud technologies in the development virtual laboratories of the is an actual and need of the development. The hybrid model is the most appropriate in the deployment of cloud infrastructure of higher educational institution. It is reasonable to use the private (Cloudstack, Eucalyptus, OpenStack) cloud platform in the universities.

The concept model and various approaches to creating of such models are analyzed in the paper. The essence of the model which reflects the process of implementing all the components of designed teaching methodology in their interaction is presented. Professionally oriented education model on the probability theory and stochastic processes course for future engineers is proposed by author. It consists of four parts: theoretical; methodological; content and organization unit; control and effective unit. Applying of methodological foundations of the theory of professionally oriented, heuristic, problem-based learning for forming of intensive learning students’ activities during practical classes is shown. Organizational methods, forms and tools of training, which promote the formation of the internal purposes of students, are presented in the paper. Methods of designing a system of professional-oriented tasks and its applying at the practical classes are given by author. Some ways of developing of students’ skills and abilities during generalization and systematization of knowledge, integrated practical exercises, laboratory works, and business games are considered. Indicators of the formation levels of training activities motivation, professional motivation, self-motivation, levels of knowledge and skills in the probability theory and stochastic processes course, levels of development of professional and analytical thinking, level of applying some e-tools are analyzed by author. The possibility of using measuring tools, including questionnaires, surveys, freshman test, modular tests, exams and special engineering disciplines test, current tests is underlined.

During the work performance students should get the maximal approach to the process of real project execution, so the project should include the need to use the latest technology, integration of data or services with different developments, architecture design, interaction of the team members and others. Implementation of graduation projects is the useful activity for the acquisition and consolidation of key IT competencies. Since the task of educational projects is maximal close to real one, students participate almost in all typical stages of commercial product’s development, and do so successfully. This is also confirmed practically: students, who were actively engaged in some projects at the university, have key positions in IT companies of the city and country after that. The main objective of the paper is to describe the organization of a common group students’ work on a degree project, implementation peculiarity of such projects, recommendations for improving the quality of projects. Thus, the paper is devoted to the peculiarities of the joint students’ work on a project during diploma execution in IT specialties, as the final part of the acquisition and consolidation process of key IT competencies of future programmers. The problem of choosing work topic, project concept, work organization in a group, implementation process organization has been considered. Also the specific stages of software development have been considered: development of interface, choice of technology, product quality, project disposal to the next developers, project completion.

Purpose of work is develop an algorithm corrections test scores based on the analysis of complexity test questions. In this paper the tests with a closed form of the question are described. Corrections of test scores required for the differentiation of test participants who have scored equal test scores. The paper presents the main steps of the algorithm corrections of test results and present calculations that show the effectiveness of the algorithm. For the calculations used for data analysis packages such as SPSS and MS Excel.

The paper presents an integrated environment for studying the course «Basics of algorithmization and programming» (http://weboap.ksu.ks.ua), which solves the problem of improving the efficiency of studying this important discipline. We describe the design and development of new version of the program demonstration environment, which allows execution of computational experiments to study the complexity and majorizability of sorting algorithms. Much attention is paid to the development component of the code editor. An architectural design strategy was formed. It determines the solution components and their interactions. The paper describes the technologies and products which were selected as a means for implementing solutions.

The paper is devoted to the problems of IT-specialists training in Ukrainian universities. It discusses the weights of different knowledge areas in its body of knowledge stemming from the stated in the paper abilities and skills required from modern IT-specialist. The example of curriculum which includes sufficient fundamental mathematical training, covers the core of CC2001 in computer science field and thus provides for all required skills is offered.

Over the past few years, information and communication technology has become constantly used in the education especially in the schools, colleges and universities. At the age of globalization technology has its impact upon almost all aspects of life. The purpose of this paper is to explore the role of information and communication technology (ICT) in the motivating University students. The main objectives of the study were to assess motivational features of information and communication technologies as perceived by students. The independent variable of the study was ICT and dependent variable was student’s motivation. Questionnaire was used in the study to collect data. The type of research was survey descriptive research. The sample size of 340 undergraduate students was selected through simple random sampling. Descriptive statistics mean, standard deviation, frequency and percentage were used in the study. Inferential statistics i.e., chi square test was employed for statistical analysis of the data through SPSS. The findings of the study show that ICT effects students’ motivation and improves their learning; knowledge retention and understanding. ICT can solve the problems of the students and motivates students.

The paper describes the main features of mixed teaching: the tasks of mixed learning, learning models, micro-training, video fragments, the new role of the teacher. To create a distance training course for teachers and university lecturers, an open three-week dialectical distance course was conducted. The peculiarities of the connektivist approach and the high level of the trainees allowed to determine the key components of the course "Mixed training". Tendencies in the development of education in the world, the role of mixed learning, gaming, analyzed SWOT analysis for mixed learning. The problematic issues in the conductivity of remote sensing courses have been clarified. To test the formed hypotheses, a six-week pilot distance course was created, which included the most important sections: the formation of the goal of the class, the model of the inverted class, tools for mixed instruction, the organization of the learning process and the evaluation of learning outcomes. The educational process was conducted for all comers. The course was signed by 218 students, the number of teachers and university teachers was approximately the same. Active listeners were 48, successfully completed the course - 18 listeners. The results of the training and the interviews of the listeners make it possible to create a distance course "Mixed training" for the professional development of teachers and teachers of higher educational institutions.

The paper deals with the problem of constructing the basic functions of a quadrilateral finite element of the fifth order by the means of the computer algebra system Maple. The Lagrangian approximation of such a finite element contains 36 nodes: 20 nodes perimeter and 16 internal nodes. Alternative models with reduced number of internal nodes are considered. Graphs of basic functions and cognitive portraits of lines of zero level are presented. The work is aimed at studying the possibilities of using modern information technologies in the teaching of individual mathematical disciplines.

The paper discusses methods, forms and safety issues of social network usage for school students. Taking into consideration the growing interest of students to electronic communication in social networks (ESN), their place in the information educational environment is described. The classification of objects and use of ESNs was made to help teachers and school authority to teach students in the corporate social network. The basic components of corporate social networks (СESN) were revealed: forms of learning activity (individual, group, and collective), forms of learning organization (quiz, debates, discussions, photo-story, essay contest, a virtual tour, mini design web quest, and conference video-lesson), and database. Particular aspects of the use of certain forms for students training in ESN aсcording to the type of social objects (messages, individual messages, video files, photos, audio files, documents, comments, and blitz-survey) were defined. Student safety when using ESN and СESN impact on a student social and cultural intelligence development are discussed as well.

The article raises the problem of organization independent work of students. In particular, the model of integration of traditional and distance learning in the form of a blended learning is considered. The experience of introducing a distance course in the discipline "Mathematical Analysis" is described. The purpose of this distance course is the effective organization of independent out of class work of future mathematics teachers. In this paper, the structure of educational and methodological support of the educational process on mathematical analysis is examined, as well as its model in a blended learning is presented. The didactic capabilities of distance technologies are analyzed. The step-by-step scheme of organization of independent work of students in the context of the use of distance course is offered. The scheme consists of the following stages: preparatory, theoretical, practical-activity, controlling, corrective. The author describes in detail the contents of the work of the teacher and students at each of these stages. The peculiarities of planning, developing and implementing a distance course, and the leadership of independent work of students are revealed. For this, the teacher performs the following functions: the formation of a permanent positive student motivation; defining and setting goals and objectives; organization of interaction between students; control and counseling of students in the learning process. A number of psychological and pedagogical problems are highlighted in the implementation of the distance learning form and the ways of their partial or complete elimination are indicated.

The paper considers the problem of bi-cubic interpolation on the final element of serendipity family. With cognitive-graphical analysis the rigid model of Ergatoudis, Irons and Zenkevich (1968) compared with alternative models, obtained by the methods: direct geometric design, a weighted averaging of the basis polynomials, systematic generation of bases (advanced Taylor procedure). The emphasis is placed on the phenomenon of "gravitational repulsion" (Zenkevich paradox). The causes of rising of inadequate physical spectra nodal loads on serendipity elements of higher orders are investigated. Soft modeling allows us to build a lot of serendipity elements of bicubic interpolation, and you do not even need to know the exact form of the rigid model. The different interpretations of integral characteristics of the basis polynomials: geometrical, physical, probability are offered. Under the soft model in the theory of interpolation of function of two variables implies the model amenable to change through the choice of basis. Such changes in the family of Lagrangian finite elements of higher orders are excluded (hard simulation). Standard models of serendipity family (Zenkevich) were also tough. It was found that the "responsibility" for the rigidity of serendipity model rests on ruled surfaces (zero Gaussian curvature) - conoids that predominate in the base set. Cognitive portraits zero lines of standard serendipity surfaces suggested that in order to "mitigate" of serendipity pattern conoid should better be replaced by surfaces of alternating Gaussian curvature. The article shows the alternative (soft) bases of serendipity models. The work is devoted to solving scientific and technological problems aimed at the creation, dissemination and use of cognitive computer graphics in teaching and learning. The results are of interest to students of specialties: "Computer Science and Information Technologies", "System Analysis", "Software Engineering", as well as post-graduate specialty "Information Technologies".

The article demonstrates the results of the online tutor’s activity components. The review of the interaction between the learners (content interaction and interpersonal interaction) in the distance course has shown that all of these elements should be taken into account in the course designing and should be later moderated by the tutor in the process of learning. It has been determined that effective learning occurs only in case of the possibility to sattisfy each student’s learning style. The complete learning circle should include different learning styles to follow the abovementioned requirements. According to the analysis of the online tutoring models the following structural components of tutor’s professional competence were defined: informative, organizational, psychological and pedagogical, technical, professional, personal, competence of online communication. Thus, in addition to the subject matter the tutor has to know psychological and pedagogical, organizational, methodological and technical bases of learning organization. The ability to plan (project) the expected final result of tutor’s activity and the readiness to learn new technologies appear particularly important. Different criteria and methods of evaluation of the effectiveness of tutor’s activity have been studied. It is shown that the estimation of the activity effectiveness should be based on the goals and the content of tutor’s activity, and it can be performed by quantitative and qualitative methods. Quantitative method permits collecting the data which can be analyzed statistically. The qualitative method is more subjective, flexible and dynamic. The paper states the currency of the requirement of online tutors training programs on the state level.

Analysis of demographics and migrations on the example of Prykarpattia region demonstrates a worsening of the active and talented youth migration abroad problem. The solution may be to attract young people to receive a free education on the basis of domestic and foreign massive open online courses with a professional focus on the needs of the regіonal labor market. The main obstacle is the poor awareness of modern Ukrainian youth about opportunities for such educational services. At the moment, counseling youth on massive open online courses is practically non-existent. In this paper we propose an approach, that should help to solve this problem. The proposed approach is based on the establishment of a regional data bank of domestic and foreign massive open online courses structured by a professional orientation. The focus is on the needs of young people in rural and mountain regions. Tutoring support from the social organization to choose the directions and learning strategies may increase the motivation of young people to obtain professional competencies and finding opportunities for the rational use of their human capital on the regional labor market

Due to the global process of information of society and the involvement of information and communication technologies (ICT) in all areas of human activity, including in the educational process of high school the paradigm of educational process is changing, priority of human life in the information society presents an opportunity to study anywhere and anytime. This opportunity is provided by many techniques of teaching using ICT, particularly through technology of mobile learning. This learning technology is a new form of learning with the usage of IKT and hasn’t study fully from the methodological point of view, so the question of further development and implementation of mobile learning technologies in educational process of high school is arisen.The implementation of mobile learning technologies in educational practice requires the design of model, which will show the interaction of mobile learning components and distance learning system. The paper proposes a model of interaction between participants of the educational process and technologies of mobile learning based on distance learning system «Kherson Virtual University". The description of the proposed model in terms of the methodological realization in the learning process is presented. In the article the main approaches to the definition of "mobile learning", "environment", "educational space", "educational environment", "learning environment" and the implementation process of mobile learning are considered, and the draft of model of mobile learning in the system of distance learning "Kherson Virtual University" is presented.

The paper presents the results of a comparison of four bachelor degree at the Faculty of Information Technology PSTU: 6.040301 "Applied Mathematics", 6.040302 "Computer" 6.050101 "Computer Science" 6.050202 "Automation and computer-integrated technologies". The urgency of the problems caused by the increased demand for training IT-specialists and not readily apparent to those matriculant differences training areas. Revealed that the name of economic activities and qualification of future professionals elected after training areas are very close and not an objective factor in the choice of the matriculant. More informative is the object of activity. But for a more detailed comparison, we analyzed the curricula of training areas. Curriculum Bachelor contains several dozen disciplines. To compare them, it was decided to split the discipline plans of different directions into the following groups: basic science, IT-training, electronics and circuitry, design, modeling, control (management)

MATLAB-programs of some discrete random event has been developed and intended (1) as an exercise at the study of Algorithmization and Programming Course, and (2) for carrying out some "experiments" by lecturing the Course of Probability and Statistics Theory, or at its self-study by students. The programs allows to do several probabilistic experiments in a necessary amount M, using the random number generator, to count up frequency of "favorable events" appearance and compare it to theoretical probability. This displays the Law of large numbers, i.e. approaching experimental results to theory with unlimited increase of М. The work, however, lies not only in this pragmatic result. It should encourage students to study problems of Probability Theory by means of creation appropriate computer codes. The most easy and quick way to this leads to MATLAB-environment. That is why the paper suggests principles of programming in it along with creation of graphical user interface (GUI).

The features of the effective implementation of multimedia in the teaching of arithmetic for primary school pupils are shown in the paper. The types of calculating methods are defined. The theoretical framework of these methods consists of: specific content of arithmetic operations, properties of arithmetic operations, connections between components and the results of arithmetic operations, change of a result of arithmetic operations depending on change in one component, the numeration of numbers, number rules, etc. The possibility of forming of these calculating methods for primary school pupils by means multimedia technologies is demonstrated. Some requirements that should be considered during the designing of dynamic models and simulators are given. These dynamic models and simulators are implemented for enhancing of various processes of thinking and perception for primary school pupils. Some samples of organization of the pupils’ cognitive activity with applying of simulators, dynamic models and presentations are shown. The necessity of implementing of multimedia for developing of pupils’ cognitive activity during learning arithmetic in primary school is underlined. Methodological recommendations for multimedia applying during explaining arithmetic operations to primary school pupils (1-4-th grades) are presented. The effectiveness of the applying of multimedia technology in the learning process at primary school is confimed by results of forming stage of the pedagogical experiment.

Classic primitives nonlinear substitution is a simple replacing each character encrypted text on a fixed symbol of the same alphabet, actually realizing the transformation one alphabet simple substitution cipher. And as a consequence - the entropy cipher text coincides with the entropy of the source text. The paper discusses the various options for randomization primitives nonlinear substitution in the results, those who achieved a significant increase in the entropy of the output text, with the cryptograms acquires properties similar to those of white noise

In all countries across the world macroeconomic shift from the production of physical things (agriculture and manufactured goods) to execution of the service of public service. In headmost countries more than 70% of GDP forms by service industry, in which over half of mankind is working today (according to the information of International Labor Organization). The science of services that occurred recently upon an initiative of IBM firm, designed to explore the main principles of functioning complex services systems, ways of creation, scaling and improving such systems. In this paper considered the questions of penetration the services in engineering systems (particularly, in software structures) capabilities of the engineering and staffing processes of creating and maintaining of system services.

When creating a platform for distance learning considerable efforts are required for formation and keeping up to date user accounts, as their numbers in higher education are measured in thousands. This work can be significantly sped up if the accounts do not create "from scratch", but import data on students from another database. Database established in the 2011 State Unified Electronic Database on Education (SUEDE) may serve this way, because of necessarily recorded data on all students in all higher educational institutions of Ukraine. Therefore, all of these schools may be interested in the proposed method of quick creation of student accounts in most popular in Ukraine distance learning platform Moodle by importing data exported from SUEDE and formed using a spreadsheet. This is supposed to create academic groups cohort, which allows teachers to record students on their courses as whole groups using still little known by us method of cohort synchronization, the features of usage of which is also discussed in this paper.

This paper deals with the use of ontology for the use and development of intelligent tutoring systems. We consider the shortcomings of educational software and distance learning systems and the advantages of using ontology’s in their design. Actuality creates educational computer systems based on systematic knowledge. We consider classification of properties, use and benefits of ontology’s. Characterized approaches to the problem of ontology mapping, the first of which – manual mapping, the second – a comparison of the names of concepts based on their lexical similarity and using special dictionaries. The analysis of languages available for the formal description of ontology. Considered a formal mathematical model of ontology’s and ontology consistency problem, which is that different developers for the same domain ontology can be created, syntactically or semantically heterogeneous, and their use requires a compatible broadcast or display. An algorithm combining ontology’s. The characteristic of the practical value of developing an ontology for electronic educational resources and recommendations for further research and development, such as implementation of other components of the system integration, formalization of the processes of integration and development of a universal expansion algorithms ontology’s software

The paper presents an analysis of the concepts of "information technology", "Information Technologies in Education", "Information technology education", "computer technology", "New Information Technologies", "New Information Technologies in Education". Found that the most common concept in this list is the concept of "information technology" as a set of methods and technical means for collecting, processing, storing, processing, transmission and presentation of data. Slightly narrower in this context, the concept of "new information technologies," which mandates the involvement of computer and other technical means to work with data. The emphasis on the learning process of information technology requires detailed terms "Information Technologies in Education" and "New Information Technologies in Education", which are defined as involvement of information technology and accordingly, including the technical means to create new perceptions and knowledge transfer, evaluation studies and all-round development of the individual in the educational process. Along with these terms also used such as "information technology training," which denotes a set of training and educational materials, and technical tools for educational purposes, as well as the system of scientific knowledge about their role and place in the educational process. Meanwhile, the term "information technology" encompasses all these concepts, so in a broad sense can be used to denote any signified concepts. As an extension of the term "information technology", the term information and communication technologies (ICT), and "information technology education", understood as educational technology using special methods, software and hardware to work with information and "ICT training "- as IT training focused on the use of computer communications networks for solving instructional problems or their fragments. Taking into account tasks, such as creating methodical maintenance of discipline "Methods of teaching educational sector" Mathematics "" using computers, the authors use the term "information technology", follow the definition of information technologies M. Zhaldak, IT training Zakharova I. and see their possible implementation in class presentations through the use of lectures; at workshops – by presentations prepared by the teacher and presentations prepared by the students, and through the use of computer control tests; during independent work possible use of teaching aids in electronic media and educational computer tests.

When creating computer-assisted language learning software, it is necessary to use the potential of information technology in controlling the learning process fully. Modern intelligent tutoring systems help to make this process adaptive and personalized thanks to modeling the domain and students’ knowledge. The aim of the paper is to investigate possibilities for applying these methods in teaching Polish grammar in Ukraine taking into account its specifics. The article is concerned with the approaches of using student models in modern intelligent tutoring systems in order to provide personalized learning. A structure of the student model and a general working algorithm of the expert tutoring system of Polish grammar have been developed. The modeling of knowing and forgetting particular learning elements within the probabilistic (stochastic) model has been studied, as well as the prognostication of future probabilities of students’ knowledge, taking into account their individual forgetting rates. The objective function of instruction quality with allowance for frequency of grammar rules within a certain amount of words being learned and their connections to another rules has been formulated. The problem of generating the next learning step taking into account the need for mastering previous, connected rules has been studied, as well as determining the optimal time period between the lessons depending on the current knowledge level.

E-learning with using spreadsheets requires the implementation of Excel-documents into the distance learning system. Simple and convenient solution of the problem of Excel-documents implementation is the use of cloud services. Using cloud services, you can access to information resources of any level and any type with division of the rights of various groups of users to resources, using only an Internet connection and a Web browser. Subject of research is the Microsoft cloud services. The purpose of research is development and implementation of software module «ExcelReader» to use Excel spreadsheets on the Web pages of distance learning systems. In this paper we solve the following tasks: 1) analyze the known software solutions to display Excel-documents in the WEB-based applications; 2) select an efficient software technology of processing Excel-documents; 3) design the access system and use of Web services of processing Excel-documents in distance learning system; 4) develop software module «ExcelReader» for correct display and edit Excel-documents on Web pages in distance learning; 5) implement software module «ExcelReader» in the distance learning system “Kherson Virtual University”. Processes of creating, editing and implementation of MS Office documents into electronic resources of distance learning systems were modeled. In particular, the software module «ExcelReader» for usage Excel spreadsheets on Web pages of distance learning system “Kherson Virtual University” using "cloud" service Excel Web App from Microsoft was developed and implemented in the educational process.

The modern information society raises new requirements to the process of training of a future primary school teacher as a component of a lifelong education system. An important role in providing of lifelong learning is given to distance education, which promotes self-motivation and self-actualization, enhances independent cognitive activity, and contributes to the acquisition of fundamental knowledge and the formation of skills to use it in professional activity. In this regard, the article analyzes the course “Fundamentals of Distance Learning in Primary Education” that contributes to the training of future primary school teachers to the successful use of distance learning technologies in the system of lifelong education. The course consists of two modules. The first module provides theoretical information on a distance learning technology in primary education, and the other – individual research assignments. Also, the paper presents the topics of lectures, practical classes and independent activity and describes the system of student performance evaluation. In general, the course facilitates the development of systems thinking of future specialists and the learning of theoretical, methodological and practical problems of forming, functioning and development of a lifelong education system.

The problem of constructing a new model of training process of future and highly competitive professionals in high school arises due to the global process of society informatization and the involvement of ICT in all spheres of human activity, including the educational process of high school. In conditions of Ukraine integration into the European educational space, the significant changes in the curriculum of training of professionals are happened, that the number of classroom training hours is reduced and the number of hours of self-study training is increasing. However, self-study learning raises many difficulties as for students and teachers, for example, the lack of guidance on the tasks for independent work, lack of consultation of teachers, insufficiently formed students’ skills of self-education and so on. These problems adversely influenced on the quality of future professionals in high school. Thus, there is need to implement blended learning in educational process for solving a number of problems. Thus, the model of the educational process with the use of blended learning is suggested, based on the analysis of the scientific literature in training future professionals, the results of international research papers and trainers. The interactions between elements of the model are established and their importance in the educational process as a whole is emphasized. The proposed model was tested during the learning process of the course "Methods and Technologies of Distance Learning" for students of Master’s degree, specialty "Computer Science" Faculty of Physics, Mathematics and Computer Science, Kherson State University.

The rapid growth in the number of institutional repositories in the world shows that one of the main activities of research institutions and leading educational institutions is to spread there own works in the global information space. Institutional repositories manage, preserve and maintain digital assets and intellectual products, as well as increase the speed and convenience of obtaining the necessary information. This paper describes the modern state of deployment of the institutional repositories in the universities of Ukraine. The author analyzes registries OpenDOAR, ROAR, rating Ranking Web of Repositories. She investigates the following indicators: access level, number of matherials, types of resources, availability of statistics service. Article contains classification of the existing electronic libraries of scientific and educational institutions. The main problems of technical, organizational, social and psychological, legal character are revealed. Recommendations about development of institutional repositories for increase of use of opportunities in research works are made.

Current labor market demand determines the modification of the system of higher education, including the transfer of emphasis on the educational process in its final qualitative result, a paradigm shift from knowledge education to competency. Student should must possess ICT competence that today has become a part of professional competence of professionals of any type. The purpose of the study is to develop standards in the ICT competence of all members of the educational process to ensure the quality of university education and the creation and subsequent implementation of educational policies of the University. The paper highlights the need to develop a corporate standard of ICT competence of masters based on UNESCO scientific approaches. It describes model, the level of ICT competence and tools for monitoring its formation in the future for today's professionals. For each of the selected three levels of ICT competence (basic, advanced and professional) determined necessary knowledge and skills, talents and ideas to master. The necessary and sufficient conditions are determined for the formation of the ICT competence of masters in modern university, proffered examples of tasks and competency requirements for the personal educational electronic space for student and educational electronic space of university. Developed and approved corporate standard provides appropriate expertise contemporary specialist who meets the requirements of the labor market and will allow the graduate to be successful in today's information society.

This study analyzes opportunities for using cloud technologies in higher education in Ukraine. On the basis of principles of the system approach, it examines the main task of cloud technologies, strategic and tactical goals of cloud computing at the technical universities, as well as problems that arise in their implementation in the educational process. The paper discusses the main trends in the use of cloud technologies in higher technical education, analyzes cloud services used by leading technical universities in Ukraine in management and learning. The typical structure of a Technical University is considered with public, private, and hybrid clouds. The experience of Cherkasy State Technological University in the use of cloud technologies at management and learning is presented. Considerations are particularly given to distance support, mobile, and blending learning, virtualization mechanism to support the students learning at natural, mathematical sciences and engineering through the utilization of individual desktops.

The last decade was marked by intensive development and introduction of new information and communication technologies, software and hardware into all spheres of human life. Besides the obvious positive effect (promoting efficiency, intensity, effectiveness, quality of education, etc.) use of these tools in children activities may lead to additional mental, nervous, emotional, physical, visual tension. However, compliance with certain pedagogical conditions can greatly reduce the negative impacts. In the article the important aspects of health saving of secondary school pupils in conditions of ICT intensive implementation and use are considered. The benefits of these tools use, as well as potential threats to the health of the younger generation are outlined. The results of a survey of students (Kyiv, Poltava, Chervonyi Lutch) on their awareness about the basic requirements and standards of work with ICT, and their compliance are presented. The purpose of the paper is in defining the main potential adverse effects that may result from using software and hardware on the health of the younger generation; determine the degree of awareness of secondary school pupils about these threats and ways to avoid them; representation of the possible ways to minimize negative impacts on pupils’ health.

The effective tool of quality control the standardization is which includes a set of rules, regulations and requirements for product quality. The development and adoption of international standards in the field of ICT in order to ensure their quality is an integral part of the process of building the information society. The introduction of high-quality, open, interoperable and standards-related demand, which takes into account the requirements and needs of all stakeholders, is now a key element of development and diffusion of ICT, streamlining costs for their development and improvement, which is particularly important for countries with transition economies. In the article the necessity of standardizing of the requirements to ICT of educational purposes is grounded. The basic types of documents on technical regulation and standardization are represented. The activities of leading international and regional initiatives and organizations whose activities, among other things, aims to standardize requirements to educational ICT (ISO, CEN, IEEE, IMS, ADL), and their main projects, are reflected. The local problems and achievements in this field are outlined. The aim of the paper is to reflect international experience in the standardization of the requirements for educational ICT, in view of globalization and integration processes.

The paper is provided analysis of result of the implementation methods using EPrints system as a means of information and communication support research activities for the development of information and communication competence of scientific and pedagogical staff. Actuality of the problem is explained intensification of scientific activity, that can be carried out thanks to the presence necessary information and communication support and information and communication competency researchers. The purpose of research is to analyze the results of the implementation the author's methodology such as tools of information and communication support to research activities in the field of pedagogical sciences EPrints using the system for the development of information and communication competency researchers. There are proposed a three level for evaluation of researchers information and communication competence: basic level, professionally-functional level and professionally-effective level. While choosing criteria for formation of expertise researchers in the field of pedagogical sciences information and communication competence is taken into account the content of components of the structure of information and communication competence: cognitive; operational and activity; values and motivation; creative. There are identified the perspectives of research that is to further develop methods of using open electronic systems as a means of information and communication support of scientific activities for the development of researchers information and communication competence.

During 15 years the Institute of Information technology and training of NAPS of Ukraine carries out research work aimed at solving actual problems of the creation, implementation and use of ICT in education, construction and development of computer-based learning environment of open education and e-learning, electronic educational resources, managing and supporting of the researches, technologies of cloud computing. The article considers the main activities of the Institute of Information Technologies and Learning Tools of NAPS of Ukraine. The experience of actual pedagogical issues developing, cooperation among research institutions and universities within activities of joint research laboratories, are reflected. The prospective research directions that will contribute to the modernization and further development of modern learning and scientific environment of educational institutions of Ukraine, in particular, the introduction of cloud oriented tools and technologies, the learning e-resources quality assurance, are outlined. The aim of the paper is to outline the main activities of the Institute of Information technology and training of NAPS of Ukraine during last 15 years and reflect the experience and perspectives of scientific and pedagogical cooperation of national research institutions and universities.

The paper presents an approach to testing system building of procedural geometric knowledge, i.e. knowledge of basic computational formulas and skills to use them. This approach consists in constructing the mathematical models for each academic module in Geometry. The main constructing objects are the templates of tests which represent mathematical models of tests set in general terms. Template of similar tests class is represented by a geometric drawing, formula-correlations system binding the elements of the drawing, by templates of test conditions and template of response. Each such template is used both in generating algorithms of similar specific tests’ plurality and algorithms of automatic validation of responses’ correctness. The proposed method makes it possible to describe a relatively simple class of specific tests. An important feature of the system is the ability to automatically check not only the final answer, but the intermediate answer formulas. For the implementation of the testing system is necessary to use methods of computer algebra and algebraic programming technology.

The usage of the cloud services in the professional education of the future economists are investigated. The following cloud services are analyzed in the paper: 1) the cloud service gantter for project management, its resources management, risks evaluation with example of the capabilities for Ganter diagram creation, project critical path determination based on gantter cloud service are considered; 2) the cloud service SageMath Cloud with capabilities of programming languages R, Python, Cython GAP usage for data analysis with example of the linear regression model construction on data sample based on the language R usage are considered; 3) Google’s cloud service based on the spreadsheets for the linear programming problems solving based on the tool Solver for the linear optimization problem is investigated; 4) the educational project Big Data University the main goal of which is learning of the students to handle big data based on the cloud technologies with the capabilities to learn request language SQL, language R for data analyses and the methods for data warehouse preprocessing are considered; 5) the cloud services from «1С» and «BuhSoft» studying of the accounting information systems with the reports creation and payroll capabilities are analyzed.

In theory and practice of information cryptographic protection one of the key problems is the forming a binary pseudo-random sequences (PRS) with a maximum length with acceptable statistical characteristics. PRS generators are usually implemented by linear shift register (LSR) of maximum period with linear feedback [1]. In this paper we extend the concept of LSR, assuming that each of its rank (memory cell) can be in one of the following condition. Let’s call such registers “generalized linear shift register.” The research goal is to develop algorithms for constructing Galois and Fibonacci generalized matrix of n-order over the field , which uniquely determined both the structure of corresponding generalized of n-order LSR maximal period, and formed on their basis Galois PRS generators of maximum length. Thus the article presents the questions of formation the primitive generalized Fibonacci and Galois arbitrary order matrix over the prime field . The synthesis of matrices is based on the use of irreducible polynomials of degree and primitive elements of the extended field generated by polynomial. The constructing methods of Galois and Fibonacci conjugated primitive matrices are suggested. The using possibilities of such matrices in solving the problem of constructing generalized generators of Galois pseudo-random sequences are discussed.

The article deals with the problem for development of techers’ information and communication competence and use of cloud computing for it. The analysis of the modern approaches to the use of cloud technologies and projects for professional development of teachers and development of teachers’ information and communication competence have been presented.There are the main characteristics of software as a service on the Internet for education leading companies Google, Microsoft, IBM. There are described some actions of these companies, which are conducted to help teachers to master cloud technology for improving the professional activities and development of teachers’ information and communication competence. The examples of ways of development of teachers’ information and communication competence and training teachers to use modern ICT in the professional activity are given in the paper. The Cloud based model for development of teachers’ information and communication competence has been proposed.

In this paper the algorithm for constructing the N-dimensional recursive Peano scans. Driven by their two-dimensional and three-dimensional realization of a system of computer mathematics Mathematica 7.0. We are discussing the issue of reduction of the multidimensional space to one-dimensional in the calculation of multiple integrals.

The quality of teaching is not only to use the Internet or e-learning. The novelty of the information and communication technology is to change the orientation of training, the transition to the creation of online and e-learning systems, but also remains an unsolved problem of adaptation of new materials. With IT students develop creativity, independence, professionalism. Interactive technologies provide various kinds of user interaction (sound, images, animations, etc.) and is a basic tool for the creation of computer training programs. The synthesis of traditional and modern information technology is based on the activity- when learning activities are the subject of training and help to create an overview of the professional activities of an interpreter as a purposeful, active, long-term process of learning. Using an interdisciplinary approach makes it possible to seamlessly integrate the knowledge of linguistics and computer science, linguistics and psychology. The purpose of this paper is the analysis of experience in the use of new information technologies in the training of future translators in UK universities. In this research we identified the most common programs used in the preparation of translators, substantiated the possibility of their application, named the city and universities in the UK where such training is carried out.

This Article is dedicated to the development of the modern methodological foundation based on ICT to support the teaching process of theoretical mechanics in pedagogical universities in the "Mathematics" specialty. Proposed metodological system is based on methodological multimedia teaching complex, made of internet-capable software products. The Paper covers the methodological issues of using individual elements of the complex at various stages of the learning process.

This paper are presented the principles of construction of conceptual model of the information system «Scientific researches» for automation of management of scientific researches in NAPS of Ukraine. Research results are described in relation to forming of the fields and automation of treatment of documents in the integrated environment of MS Sharepoint, which was conducted within the limits of implementation of R&D «Scientifically methodical providing of the information system of planning of scientific researches in Academy of pedagogical sciences of Ukraine on the base of network the Internet»

The problems and perspectives of the cloud computing usage in education are investigated in the paper. The examples of the most popular cloud platforms such as Google Apps Education Edition and Microsoft Live@edu used in education are considered. The schema of an interaction between teachers and students in cloud is proposed. The abilities of the cloud storage such as Microsoft SkyDrive and Apple iCloud are considered.