Theory and methods of learning mathematics, physics, informatics 2018-04-13T09:27:47+00:00 Sergey Alexeevich Semerikov Open Journal Systems <p><strong>Indexing and Ratings: </strong>The journal is indexed in the following databases and libraries:</p>The journal currently indexed by <span style="text-decoration: underline;">scientometric databases</span>:<ul><li><a href="">Russian Science Citation Index (RSCI)</a>, Russia</li><li><a href="" target="_blank">Google Scholar</a>, USA</li><li><a href=",p5439,3.html" target="_blank">Index Copernicus</a>, Poland</li></ul><p>Included in the <span style="text-decoration: underline;">abstract databases</span>:</p><p><em>Europe</em></p><ul><li><a href="">Scientific Journals and Conferences Archive</a></li><li><a href="" target="_blank">Simple Search Metadata in Open Ukraine Archives</a></li></ul><p><em><em>Northern America</em></em></p><ul><li><a href=";qt=results_page" target="_blank">WorldCat</a>, USA</li></ul><p>Represented in the following <span style="text-decoration: underline;">databases</span><em>:<br /></em></p><p><em>Northern America<br /></em></p><ul><li><a href="" target="_blank">getCITED</a>, Canada<em><br /></em></li></ul><p><em><em></em>Asia</em></p><ul><li><a href=";issn=23091479&amp;uid=r05ff5" target="_blank">Research Bible</a>, Japan</li></ul><p> </p> Cover 2018-04-11T12:37:02+00:00 Sergey Semerikov 2015-09-04T00:00:00+00:00 ##submission.copyrightStatement## Abstract 2018-04-11T12:40:50+00:00 Sergey Semerikov 2015-09-04T00:00:00+00:00 ##submission.copyrightStatement## Contents 2018-04-11T12:44:38+00:00 Sergey Semerikov 2015-09-04T00:00:00+00:00 ##submission.copyrightStatement## Contents 2018-04-11T12:47:00+00:00 Sergey Semerikov 2015-09-04T00:00:00+00:00 ##submission.copyrightStatement## Analysis, features and requirements for some methods of teaching higher mathematics for students of technical universities 2018-04-11T13:08:57+00:00 Наталія Михайлівна Кіяновська Наталя Василівна Рашевська <p>The modern system of the higher technical education require that the teacher creates conditions for practical training for quality education that to provide for students with an opportunity to acquire knowledge in accordance with the decision of their professional tasks. That is why the organization of the process of higher mathematics teaching requires the involvement of different methods that improve the cognitive activity of students.</p> <p><em>Object of the research</em>: the teaching process of higher mathematics of students of technical universities.</p> <p><em>Subject of research:</em> use some methods on practical classes in higher mathematics.</p> <p><em>Research focus:</em> to analyze some of the teaching methods that may be used in the learning process of higher mathematics of students of technical universities.</p> <p><em>Problem research:</em> to identify the characteristics and requirements of such methods of teaching as project method, the method of multilevel studies, case-method teaching method, in collaboration, a method of learning in groups, a method of portfolio, description of the examples of these methods require the use of information and communication technologies.</p> <p>The study <em>examines</em> the use of ICT as a pedagogical tool and software GRAN 1, intelligent search engine Wolfram|Alpha, a system for interactive communication Piazza.</p> 2015-09-04T00:00:00+00:00 ##submission.copyrightStatement## Psychological bases and methodical features of influence on semiosphere of personality of students in the process of studies of mathematics 2018-04-11T13:10:14+00:00 Ірина Василівна Лов’янова Світлана Геннадіївна Шиперко <p>On the basis of analysis of psychological bases of process of studies the spheres of personalities of student, that are formed in the studies, and the methodical ways of development of separate spheres of personality in the process of studies of mathematics are distinguished in the article.</p> <p><em>The aim:</em> to educe the features of semiotic sphere of personality of senior pupils and ways of its development in the process of studies of mathematics.</p> <p><em>The tasks:</em> 1) to learn experience of psychology-pedagogical science in relation to development of personality in the studies; 2) to consider possibilities of studies of mathematics in development of personality of student; 3) to offer the methodical receptions of influence on semiosphere of students in the studies of mathematics.</p> <p><em>The research object:</em> the process of studies of senior pupils of mathematics.</p> <p><em>The article of research:</em> psychological bases and methodical features of influence on semiosphere of personality of students in the process of studies of mathematics.</p> <p><em>The research methods:</em> study of papers of the scientists that are devoted to research psychology-pedagogical bases of development of personality in studies.</p> <p><em>The results:</em> the methodical receptions of mastering of maintenance of studies that are worked out taking into account the semiotic features of students are offer.</p> <p><em>The conclusions</em>: the possibilities are considered and the methodical receptions of taking into account of psychological features of senior pupils in the process of studies of mathematics are offered.</p> 2015-09-04T00:00:00+00:00 ##submission.copyrightStatement## Technique of solving logic problems 2018-04-11T13:12:18+00:00 Анастасія Миколаївна Рашевська <p>Actuality of the theme is determined by the need to study the subject of logic in teaching in specialized schools, and the ability to solve logical problems by various methods, compare them and choose the method that will help get the right result faster than others. The ability to solve logic puzzles teach students to correctly determine the conditions of the problem, logical expressions and to correlate them and compare, to come to the correct conclusion using the data problems and their solutions. In this context, the object of the article is logical problems, and the subject the article is mathematical logic.</p> <p><em>The purpose of the article</em> is to review and analyze solving some logical problems through different methods. For the purpose, the main objective of the article is to determine the most rational method for solving logical problems. The study examined the following methods of solving logical problems as method arguments, the method of tables and flowcharts method.</p> 2015-09-04T00:00:00+00:00 ##submission.copyrightStatement## The use of computer animations at the teaching of analytic geometry 2018-04-11T13:13:03+00:00 Ольга Леонідівна Сєдих Світлана Василівна Маковецька <p>This paper proposes the implementation of information technologies in the study of higher mathematics course (section “Analytic geometry”), which offers the prospect of broadening and deepening the knowledge base of students due to intensification and activation of the educational process. The paper highlights the software implementation tasks of analytic geometry in Mathcad examples on constructing a tangent to a given function and the tangent plane to the surface with the use of animations. Use of Mathcad in the mathematical preparation of students is validated.</p> <p><em>Objective</em>: To improve the quality of students’ training in higher mathematics courses through intensification and efficiency of the educational process that focuses on the use of modern information technology.</p> <p><em>Problem</em>: To analyze the use of the package Mathcad in teaching of higher mathematics.</p> <p><em>Object </em><em>of research</em>: the learning process of students in higher education institutions using information technology in the study of analytic geometry.</p> <p><em>Subject </em><em>of research</em>: peculiarities of using Mathcad package in teaching analytic geometry.</p> <p><em>Results</em>: benefits of using information technology in teaching of analytic geometry over traditional teaching methods are revealed.</p> <p><em>Conclusions</em>: software implementation of tasks of analytic geometry in Mathcad environment using animation is considered.</p> 2015-09-04T00:00:00+00:00 ##submission.copyrightStatement## Methodological features of introduction of abstract concepts in teaching of advanced mathematics 2018-04-11T13:13:49+00:00 Ірина Ігорівна Сидоренко <p><em>Research focus: </em>the analysis of the main psychological, methodological and pedagogical problems of understanding of abstract concepts for those cadet, whom the mathematics isn’t a profile subject.</p> <p><em>Problem research:</em> a search of methodical receptions help to eliminate a problem in understanding of an essence of abstract concept in view of psychology of the person.</p> <p><em>Object of research:</em> an abstract concept, as philosophical category and psychological bases which a perception and understanding of the abstract concept by the person base on.</p> <p><em>Subject of research:</em> methodical receptions by means of which the clear understanding of abstract concepts and their organic association with the previous knowledge of the cadet and his outlook as a whole is reached.</p> <p><em>The</em> <em>research method:</em> pilot study.</p> <p><em>The results:</em> a training improvement of quality was reached, according to results of semester certifications.</p> <p><em>The main recommendation</em> in teaching of a advanced mathematics course is an optimization of two components of training – an extent of formalization of a course and its scientific level on the one hand, and an availability a connection of the course to the cadet’s outlook – on the other hand.</p> 2015-09-04T00:00:00+00:00 ##submission.copyrightStatement## Using analytic geometry in the study of stereometry school course 2018-04-11T18:53:46+00:00 Тетяна Романівна Слюзко Петро Іванович Ульшин <p>The research deals with the historical facts of the coordinate-vector method and its application for solving stereometric problems in geometry.</p> <p><em>Objective:</em> To show the continuity between the school geometry course and geometry of higher education.</p> <p><em>Research tasks</em>: 1)&nbsp;to highlight the historical facts that led to the development of the coordinate-vector method in analytic geometry; 2)&nbsp;to show the use of the investigational method in the study of geometry and solving problems.</p> <p><em>Object of research</em>: the process of learning geometry by students.</p> <p><em>Subject of research</em>: the use of the coordinate-vector method for solving geometric problems.</p> <p><em>Research results</em>: efficiency of coordinate-vector method for solving stereometric problems have been revealed.</p> <p><em>Research methods</em>: Analysis of historical, scientific and methodical literature, coordinate and vector methods.</p> <p><em>Conclusions:</em> The historical facts that served for the development of coordinate and vector methods have been looked through, the advantages of using a coordinate-vector method for solving stereometric problems in the school geometry course and the geometry of higher education have been revealed.</p> 2015-09-04T00:00:00+00:00 ##submission.copyrightStatement## Didactic principles of formation stochastic competence students university of economics 2018-04-11T19:03:57+00:00 Олена Василівна Трунова <p>Considered didactic principles, which are components of methodical system forming stochastic competence in teaching students of economics universities.</p> <p>Analysis of psychological, educational, economic and mathematical literature on stochastic forming competence of future economists and personal learning experience allowed us to determine the system of teaching the principles of formation of stochastic competence of future economists: the principle of science; the principle of the strength of knowledge; the principle of systematic sequence; the principle of flexibility and openness; the principle of approachability; the principle of visibility; the principle of continuity of learning; the principle of humanization; the principle of goal-setting; the principle of developmental context; the principle of professional and applied orientation.</p> <p>Required substantial changes in the learning process based competency approach that led to the effectiveness of training future specialists to the profession. For the modern economist is important not only to the amount of information received, as its capacity and ability to assimilate and creatively use their professional work.</p> 2015-09-04T00:00:00+00:00 ##submission.copyrightStatement## The method of deeper kinematics studying in physics 2018-04-11T19:16:37+00:00 Валентина Олексіївна Балицька Лідія Ігорівна Ярицька <p>One of the methods of deeper physics studying – the calculating test method is presented. The aim of such a work is the use of theoretical knowledge in physics (part “Kinematics”) by practical determining of some kinematic characteristics. Using the data curve of acceleration time dependence of a particle, the velocity time dependence at each point of the way can be determined. It is shown that using the graths of acceleration time dependence of a particle gives the opportunity to calculate the particle speed at definite time.</p> 2015-09-04T00:00:00+00:00 ##submission.copyrightStatement## Classic high voltage source of alternating current 2018-04-11T19:44:59+00:00 Борис Михайлович Валійов Володимир Дмитрович Єгоренков Наталія Сергіївна Шишко <p>We report a history of inventing and constructing Rhuemkorff’s coil as well as clarify the mode of its operation. We present the equivalent scheme of such a coil with an electro-mechanical interrupter. We outline the development of the theoretical description of this device. We show and describe the equipment required for a lecture demonstration experiment with such a coil. We present the oscillogram we got of an electric signal produced in the primary circuit of the coil in the periodic mode of the electro-mechanic interrupter. The experiment described enables a teacher to deepen the students’ knowledge of the ancient sources of current.</p> 2015-09-04T00:00:00+00:00 ##submission.copyrightStatement## Learn conference at school on study of friction force 2018-04-11T19:51:06+00:00 Дар’я Юріївна Грицуля <p>The <em>object of the research</em> is teaching the phenomenon of friction force at school, the <em>subject</em> is the form of organization of educational activity.</p> <p><em>Problem research: </em>to develop educational procedure on physics for pupils, to analyze the procedure, to specify the recommendations for improving the organization of school conference.</p> <p><em>The results:</em> the information about the efficiency of this form of the teaching, its positive influence on the pupils` personal interest to physics has been got.</p> <p>Recommendations for conducting school conference are to provide the students with enough time for preparing the conference, to monitor them carefully, to give the participants of the conference fundamental knowledge on the subject in advance, to include in one of the stages of the conference the report that would facilitate the feed-back of the audience with the speaker, to organize one of the reports in an artistic form with simple demonstrations, to provide with meaningful visual illustrations during oral presentations of students.</p> 2015-09-04T00:00:00+00:00 ##submission.copyrightStatement## Studying of principles of household appliances on physics lessons 2018-04-11T19:56:57+00:00 Ірина Миколаївна Пустинникова Анастасія Ігорівна Каплун <p>The article is devoted to the methods of applying on physics lessons the principles of various (samovar, electric kettle, iron and so on).</p> <p><em>Purpose</em>: To show the relationship of physics with design and operation of appliances.</p> <p><em>Objectives</em>: 1) choose the material concerning the principles of operation and design of household appliances; 2) to find out which laws and principles of physics are used to explain the operation and design of appliances.</p> <p><em>Object of research</em>: the process of teaching schoolchild of physics.</p> <p><em>Subject of research</em>: laws of physics, which are used in household appliances.</p> <p><em>Methods of research</em>: Analysis of literature on didactics of physics and information on the structure and operation of household appliances.</p> <p><em>Results</em>: the material on operation and design of household appliances was considered.</p> <p><em>Conclusions</em>: clarifying the nature of physics laws on examples of their application in household appliances enhances the motivation of studying physics by students.</p> 2015-09-04T00:00:00+00:00 ##submission.copyrightStatement## Simulation as way realization akmeological approach 2018-04-11T20:04:47+00:00 Микола Ілліч Садовий Ірина Вікторівна Бобик Олена Михайлівна Трифонова <p>The article is devoted to research of simulation as to the method of research of the phenomena and processes, that will be realized on the basis of akmeological approach. Akmeologicals terms, types of simulation, criteria and simulation functions are considered. Aiming examples of the use of simulation in the process of studies of physics for the achievement of the best quality of studies.</p> <p>The <em>aim</em> <em>of research</em> is determination of terms of the use of akmeological approach in learning physics, in particular, in methodology of using simulation at the study of physics of the microworld.</p> <p>The <em>problems</em> <em>of research</em> are: 1) to analyse the akmeological terms of achievement of the best result; 2) to set the basic criteria of using simulation in learning physics; 3) to ground efficiency of the use of simulation on the basis of akmeological approach.</p> <p>The <em>object of research</em> is the process of learning students in institution of higher education with application of akmeological approach.</p> <p>The <em>subject of research</em> is pedagogical terms of аkmе realization of simulation method.</p> <p>The <em>methods of research</em> are theoretical ground of application of the akmeological going to learning the physical phenomena, processes, practical application of simulation in a learning process.</p> <p>The <em>results </em>are the entered approach provides the best results of studies of concepts of atomic and nuclear physics, provides development of logical and creative thought.</p> <p><em>The conclusions</em> are development of education in obedience to the newest educational paradigm induces to updating of methods and techniques of learning, using the innovative technologies, modern conceptions and forming methods for the students of subject and vital competencies, that answers the requirements of the akmeological approach to providing achievement of the best result of studies. Application of such technologies gives an opportunity positively to develop intellectual, social, spiritual spheres of students, assists social self-affirmation and cultural self-perfection.</p> 2015-09-04T00:00:00+00:00 ##submission.copyrightStatement## Problem training 2018-04-11T20:10:13+00:00 Людмила Григорьевна Сергиенко <p>The article is devoted to some questions of development of creative activity and independence of students of technical universities are considered at studying of fundamental disciplines with use of problem training.</p> <p><em>Research focus:</em> To identify the questions of the theory and practice of problem training in high school which invoke huge interest not only in teachers, methodologists, but also students.</p> <p><em>Problem research:</em> To variate an interrelation between elements of is illustrative-explanatory and problem lecture (laboratory or practical employment) in favour of last.</p> <p><em>The overall objective</em> is to enhance informative interest of students to process of training and to make active thinking of trainees.</p> <p><em>The main</em> <em>conclusion</em>: The theory demands the further discussion, introduction and the analysis.</p> 2015-09-04T00:00:00+00:00 ##submission.copyrightStatement## Formation of research competence in teaching physics 2018-04-11T20:16:55+00:00 Марія Андріївна Сорокопуд Юлія Володимирівна Єчкало <p><em>Research goals</em>: analysis of research competencies in teaching physics. <em>Research objectives</em>: highlight the levels of research competence Bachelor of Computer Engineering in teaching physics in university. <em>Object of research</em>: process of teaching physics in higher education. <em>Subject of research</em>: formation of research competence in teaching physics in higher education. <em>Research methods</em> used: analysis of publications. <em>Results of the research</em>. The components and levels of formation of research competences bachelor of computer engineering in teaching physics are selected. Conclusions and outlines directions for further research are formulated. <em>The main conclusions</em>. Work has begun on designing systems research competences of future specialists in computer engineering in teaching physics.</p> 2015-09-04T00:00:00+00:00 ##submission.copyrightStatement## The use of activity approach in a process of teachers training 2018-04-12T03:49:51+00:00 Ігор Анатолійович Ткаченко Юрій Миколайович Краснобокий <p>The article is devoted to the modern methods of constructing original astrophysics problems which needs the application of classic mathematical theories.</p> <p><em>Research focus:</em> perform a theoretical analysis of pedagogical use the activity approach to teaching fundamental disciplines subjects by didactic principles of interaction between the learning and training practice, and the expansion of scientific outlook of students.</p> <p><em>Problem research:</em> 1) analyze the current approaches to modern methods of solving astrophysical problems; 2) view an examples of problems as a means of deepening, broadening and stronger theoretical material in physics and astronomy.</p> <p><em>Object of research:</em> the process of learning of students using activity approach.</p> <p><em>Subject of research:</em> features of the methodic using astrophysical problems in teaching fundamental disciplines.</p> <p><em>The</em> <em>research methods:</em> the study of experiences and works of Ukrainian authors on the problems of implementation and use of modern methods of solving problems.</p> <p><em>The results:</em> advantages and lacks of author methodic solving astrophysical problems are detected.</p> <p><em>The main</em> <em>conclusions</em>: inclusion astronomical material in the learning physics content, on the one hand, and strengthening the evidence of real astrophysical research results, on the other hand, promotes the formation of modern scientific thinking style of learners, because it allows a wider, fuller and more systematic nature-accordance principle implement.</p> 2018-04-12T03:48:08+00:00 ##submission.copyrightStatement## Typical informatics curriculum for students of general technical training areas 2018-04-12T03:57:10+00:00 Ярослав Миколайович Глинський Вікторія Анатоліївна Ряжська <p>The paper presents one informatics curriculum for students of general technical training areas in higher technical education.</p> <p><em>Purpose</em>: Development of typical informatics curriculum.</p> <p><em>Object of research</em>: Contents of the subject “Informatics”.</p> <p><em>Objectives</em>: Select relevant topics to optimize and fundamentalize informatics learning content.</p> <p><em>Results</em>: The expediency of providing attention to teaching students the basics of modelling, algorithmic and visual programming is supported.</p> <p><em>Conclusions</em>: Curriculum was held long-term improvement and modernization in National University “Lviv Politechnica” and should be useful as the basis for many other similar curriculums</p> 2015-09-04T00:00:00+00:00 ##submission.copyrightStatement## The methodical possibilities of the system Maxima using in the training of bachelors of computer science 2018-04-12T04:03:13+00:00 Уляна Петрівна Когут <p>The article presents the general characteristics of computer mathematics systems (SCM) and conditions for effective use of the Maxima as a tool for fundamentalization in the learning process of computer science bachelors. The ways of teaching of informatics disciplines using SCM are revealed. The perspective ways of development of computer mathematics systems are outlined.</p> <p>The <em>research object</em> – process of learning science bachelors using SCM.</p> <p>The <em>research subject –</em> especially the use of SCM Maxima learning informatics’ courses.</p> <p>The <em>research methods</em> used experimental research and case studies;</p> <p>The <em>findings of the research</em> – found ways to use SCM in the preparation of bachelors of computer science.</p> <p>The main <em>conclusions</em> and <em>recommendations – </em>Methodical aspects of Maxima in the preparation of bachelors of computer science, revealed prospects of computer algebra systems in teaching informatics’ courses.</p> 2015-09-04T00:00:00+00:00 ##submission.copyrightStatement## Using cloud technologies for training in computer science engineering students 2018-04-12T04:12:52+00:00 Марина Віталіївна Рассовицька Андрій Миколайович Стрюк <p><em>Research goals</em>: to determine the impact of cloud technologies on computer science learning tools for engineering students.</p> <p><em>Research objectives</em>: to determine the place and role in the formation of disciplines computing competence of engineers; to determine the impact of cloud technology to method of study computer science; the notion of point cloud-based ICT and cloud-based ICT training; identify cloud-based learning tools engineering students.</p> <p><em>Object of research</em>: teaching computer science engineering students in universities of III-IV accreditation levels.</p> <p><em>Subject of research</em>: the using of cloud technologies for training engineering students.</p> <p><em>Research methods</em> used: analysis of state standards, statistics and publications.</p> <p><em>Results of the research</em>. Based on the statistical data defined relevance of training engineering students. Analysis of educational qualification characteristics and curricula and the influence on the formation of disciplines computing competence of engineers. The influence of cloud technologies to fundamentalization teaching in computer science. The concept of cloud-based ICT and cloud-based ICT training. Highlight a cloud-based learning tools for engineering students.</p> <p><em>The main conclusions and recommendations</em>:</p> <p>1)&nbsp;the use of cloud technology as a promising direction of development of mobile ICT contribute fundamentalization training in computer science engineering students;</p> <p>2)&nbsp;it is reasonable to use the Google Apps for Education as a leading cloud-based tools for training in computer science engineering students.</p> 2015-09-04T00:00:00+00:00 ##submission.copyrightStatement## Methodic of joint using the tools of automation of lexical and parsing analysis in the process of teaching the programming theory of future informatics teachers 2018-04-12T04:21:18+00:00 Сергій Олексійович Семеріков Олександр Павлович Поліщук <p><em>Research goals</em>: to develop a methodic of joint using the tools of automation of lexical (lex) and parsing (yacc) analysis in the process of teaching the programming theory based on a functional paradigm.</p> <p><em>Research objectives</em>: to determine the place and role of parsing analysis in the formation of professional informatics competences of future informatics teachers; to define tools of compilers development automation in teaching the programming theory; to develop the main components of the methodic of joint using the tools of automation of lexical and parsing analysis in the process of teaching the programming theory of future informatics teachers.</p> <p><em>Object of research</em>: teaching the programming theory of future informatics teachers.</p> <p><em>Subject of research</em>: the use of the tools of automation of lexical and parsing analysis in the process of teaching the programming theory of future informatics teachers.</p> <p><em>Research methods</em> used: analysis of scientific publications, self-analysis of work experience, methodic design.</p> <p><em>Results of the research</em>. The place and role of parsing analysis in formation of professional informatics competences of future informatics teachers is determined. Separated automation tools for lexical (lex) and syntax (yacc) analysis invariant to the programming language used. The expediency of using functional programming languages Scheme and SML is shown for learning how to develop compilers in the course of programming theory. The example of the MosML dialect illustrates the main components of the methodic of joint using the tools of automation of lexical and parsing analysis in the process of teaching the programming theory of future informatics teachers.</p> <p><em>The main conclusions and recommendations</em>:</p> <p>1)&nbsp;the considered example of the expanded calculator can be refined by changing the grammar, in particular – for the introduction of conditional and cyclic constructions;</p> <p>2)&nbsp;the proposed scheme can be used to implement the interpreter of any formal language with an arbitrary typing method – the appropriate examples of study will be subsets of procedural languages Basic and C and functional languages Scheme and SML: provided the addition of the machine code generation phase, this provides an opportunity to demonstrate the full development cycle for programming language compiler.</p> 2015-09-04T00:00:00+00:00 ##submission.copyrightStatement## Development of software for teaching students safety work in e-mail 2018-04-12T04:29:16+00:00 Denys Volodymyrovych Stolbov <p>This paper highlights the main aspects in development of e-mail simulator. The paper shows features of teaching students e-mail security and describes steps of development the simulator. The result of the paper includes an example of working the simulator.</p> <p><em>The research focus: </em>to describe design and implementation features of the software for teaching students safety work in e-mail.</p> <p><em>Goals: </em>1) to reveal the need for teaching students safety work in e-mail; 2) determine the technical requirements of software for teaching students safety work in e-mail; 3) describe the software logical model and justify the choice of design tools; 4) implement the development software model.</p> <p><em>Object: </em>the learning process of secondary school students.</p> <p><em>Subject: </em>development of software for teaching students safety in e-mail<em>.</em></p> <p><em>The research methods: </em>study of specifics of teaching students safety work in e-mail, designing e-learning tools.</p> <p><em>The results: </em>design and implemented of software for teaching students safety work in e-mail.</p> <p><em>The conclusion:</em> reviewed the features of teaching students safety in e-mail, described main stages of the software design teaching students’ safety in e-mail.</p> 2015-09-04T00:00:00+00:00 ##submission.copyrightStatement## About the relationship between professional and academic competencies in mathematical preparation of pharmaceutical students faculties of medical universities 2018-04-12T04:49:33+00:00 Ирина Александровна Голёнова <p>The article is devoted to preparing students pharmaceutical faculties of medical universities within the competence approach. The mechanism of the relationship of professional and academic competencies as a means of achievement the educational standard is identified. The analysis of curricula and programs is held. <em>Research focus:</em> To identify the relation mechanism of professional and academic competences in mathematical preparation of students of pharmaceutical faculty. <em>Problem research:</em> 1) to develop a bank of the academic and professional competencies that extend and deepen the level of competences of graduate of medical university due to their relationship; 2) to dissect curricula and programs in order to isolate the basic mathematical concepts of the course. <em>Object of research:</em> the process of learning mathematics of students pharmaceutical faculties of medical universities. <em>Subject of research:</em> learning content mathematics students pharmaceutical faculties based on interconnection between academic and professional competencies. <em>The</em> <em>research methods:</em> the study of educational standard, curricula and programs on «Pharmacy» specialty. <em>The results:</em> The mechanism of the relationship of professional and academic competencies in mathematical preparation of students of pharmaceutical faculty is detected. <em>The main</em> <em>conclusions</em>: the main types of competencies are determined, the bank of academic and professional competence on the basis of their relationship is developed, the main mathematical concepts are defined.</p> 2015-09-04T00:00:00+00:00 ##submission.copyrightStatement## Features of self-work of technical universities students in mastering course “Descriptive Geometry” 2018-04-12T04:55:13+00:00 Валентина Петрівна Гонзуль <p>The article discusses problems and aspects of self-study students of technical universities in the study of graphic disciplines.</p> <p>The <em>aim</em> of the research is identify the characteristics of self-study first-year students in a technical high school.</p> <p>The <em>object</em> of research is the self-work of students in a technical high school.</p> <p>The <em>subject</em> of research is the process of students’ self-study.</p> <p>The <em>research results</em>: developed guidelines and recommendations for the implementation of freshmen self-work in Descriptive Geometry. The students’ self-study performed without the direct participation of the teacher, but by his task. The teacher roles: diagnostician, advisor, motivator and information provider. Objectives are stated in terms of activity and presented to students before the start of training.</p> <p>The main <em>conclusions:</em> evaluation of the results achieved through the introduction of developed guidelines shown that the self-work of students through technologizing compared to traditional teaching is a highly productive.</p> 2015-09-04T00:00:00+00:00 ##submission.copyrightStatement## Chemical competence and its role in formation professionalism of construction engineer 2018-04-12T06:03:04+00:00 Юлия Михайловна Данченко Наталия Геннадьевна Белоус <p>The <em>purpose</em> of this study is to identify the relationship between the chemical competence and professional skills for students of the national Kharkov University of civil engineering and architecture. Assessment of the role and importance of chemistry as a normative discipline in the process of interdisciplinary integration was carried out through questionnaires administered to students 3 year, who is the purpose enrolled in the direction of «Civil engineering» of specialist «Heating and gas supply and ventilation». In questions of designed questionnaire reflected interdisciplinary communications of examined 17 disciplines of professional orientation with chemistry. We <em>found</em> during the study found that about one-third of all the disciplines аre closely related to chemical knowledge. This is disciplines with a high level of interdisciplinary links: chemistry of natural gas (85&nbsp;%), chemistry of the atmosphere (84&nbsp;%), ecology (72&nbsp;%), construction materials (62&nbsp;%), geology of oil and gas (58&nbsp;%). There is integration potential with chemistry from 30 to 45&nbsp;%. According to the results of questionnaires we can argue that chemistry, аs a normative discipline of a natural-science cycle, is the main factor of development of chemical competence of students-builders and very important for the successful mastering of more than half of all disciplines of professional orientation.</p> 2015-09-04T00:00:00+00:00 ##submission.copyrightStatement## Role of chemistry as a fundamental science in training students of metallurgists 2018-04-12T06:49:51+00:00 Марина Витальевна Кормер Екатерина Олеговна Шмельцер <p>Article is devoted to links of the block fundamental disciplines with general and special disciplines. The causes of worsening the relationship of knowledge and skills, acquired in the chemistry course in studying special subjects, was analized.</p> <p><em>Objective</em>: to analyze the reasons preventing connection of knowledge and skills obtained in the chemistry course in studying of special subjects.</p> <p><em>Problems:</em> 1) to analyze the reasons for the low motivation of students in studying chemistry for non-chemical specialties, 2) to identify areas for the implementation of interdisciplinary connections.</p> <p><em>Object of research</em>: increasing motivation in studying chemistry for university students of non-chemical specialties.</p> <p><em>Subject of research</em>: methods of teaching chemistry for non-chemical specialties.</p> <p><em>Methods of research:</em> the study of the works of domestic authors on interdisciplinary connections.</p> <p><em>Results</em>: identified the main reasons for the low motivation in the study of chemistry.</p> <p><em>Conclusion</em>: The knowledge and skills acquired through the study of chemistry should be used in other courses in specialized discipline. Chemistry should touted not only as the sum of the knowledge and skills of necessary for future specialist, but also as a means to achieve the formation of his intellectual abilities.</p> 2015-09-04T00:00:00+00:00 ##submission.copyrightStatement## The teaching of academic courses from positions of introduction the management technology of future lawyers’ self-learning activity 2018-04-12T11:21:42+00:00 Андрій Олександрович Кучерявий <p>The research deals with the problem of discrepancy between the quality of training of specialists and the requirements of the society and industry standards.</p> <p>The <em>aim</em> of the research is determination the peculiarities teaching of academic courses on condition of introduction the management technology of future lawyers’ self-learning activity.</p> <p>The <em>research tasks</em> are the search of conditions for the introduction of management technology and its components, and also consideration their impact on the organization of teaching of academic courses.</p> <p>The <em>object</em> of research is the process of training of future lawyers.</p> <p>The <em>subject</em> of research is the management system of students’ self-learning activity.</p> <p>The <em>research methods</em>: classification, systematization, modelling, system-structural and system-functional analysis.</p> <p>The <em>research results</em>: the management actions of different subjects as elements of some technology are presented; the influence of the certain actions on the state of teaching of academic courses and functioning of students’ self-learning activity is prescribed.</p> <p>The main <em>conclusions </em>and <em>recommendations</em>: management technology requires the involvement of representatives of all management levels in an educational institution; certain totality of management actions really is a technology; introduction of technology must positively affect the state of teaching of academic courses.</p> 2018-04-12T11:20:47+00:00 ##submission.copyrightStatement## Trust between student and teacher as a factor in successful study of fundamental disciplines 2018-04-12T11:29:21+00:00 Олена Вікторівна Лашко <p>The article investigates the role of trust between student and teacher in fundamental disciplines study in the technical high school.</p> <p><em>The research objectives</em> are to determine the relevance of study the trust between a student and a teacher in technical high school, and to determine the trust optimal level in terms of a student studying fundamental disciplines.</p> <p><em>Object of the research</em> is formation of trust between a student and a teacher in learning activity.</p> <p><em>Purpose of the research</em> is trust formation features between a student and a teacher.</p> <p>In order to solve the research tasks used <em>theoretical methods</em> (analysis of literature in research problem), the <em>empirical method</em> (interview) and <em>methods of mathematical statistics</em>.</p> <p><em>The research results</em> are analyzed and presented in an easy to understand format.</p> <p>The article contains <em>findings</em> about research results.</p> 2018-04-12T11:29:21+00:00 ##submission.copyrightStatement## System approach to consideration of the theme “Equivalents” during teaching of general chemistry at higher school 2018-04-12T12:24:28+00:00 Ніна Анатоліївна Никифорова <p>An approach to statement of the theme “Equivalents” in modern textbooks is one-sided as a rule and doesn’t uncover all potentialities of calculations with using of the law of equivalents. In addition the definition of concept of equivalent in some textbooks is hardly apprehended by students.</p> <p>The <em>object of research</em> is methodology of general chemistry teaching at higher educational establishment.</p> <p>The <em>subject of research</em> is teaching of the theme “Equivalents” in the course of general chemistry.</p> <p>The <em>purpose</em> of the work is formation of holistic view about concept of equivalent on students’ mind and enhancement of the law of equivalents when solving the tasks.</p> <p>The <em>task of </em><em>research</em> is creation of system approach to teaching of the theme “Equivalents”, which allows more effective use of the law of equivalents when solving the tasks and helps to avoid transitional calculations.</p> <p>The <em>results</em>: the definition of concept of equivalent as a base unit is offered. This allows reformulation of the law of equivalents and receipt of a number of formulas in terms of the base formula. Each of these formulas is a solution of certain class of tasks. Availability of such formulas allows easier identification of tasks, which require using of the law of equivalents, gives experience of solution of tasks in general terms that is useful when solving complicated tasks and allows avoiding of unnecessary calculations.</p> 2018-04-12T12:24:28+00:00 ##submission.copyrightStatement## Bases theoretic-methodical systems studying of descriptive geometry of future architects 2018-04-12T18:56:56+00:00 Дмитро Іванович Ткач <p>Research is devoted development of pedagogical technology of overcoming of the modern crisis condition geometric-graphics illumination of students of architectural faculties by driving their home of the system understanding of nature of object and his image.</p> <p>The<em> aim </em>of research is finding out of necessity and possibility of construction of the system of studies of future architects on the basis of realization of system paradigm as system descriptive geometry.</p> <p>A research <em>object</em> is a process of studies of a descriptive geometry of future architects.</p> <p>The <em>subject</em> of research is theoretic-methodical system of realization of approach of the systems to the studies of a descriptive geometry as fundamental educational discipline.</p> <p>The <em>research tasks</em>: 1) <em>argumentation</em> urgent necessity of treatment of <em>conception of the system</em> of maintenance of a descriptive geometry; 2)&nbsp;development of methodical subsystems of <em>geometrical and graphic</em> preparedness of future architects, and also them position and metrical constituents; 3) development of methodical subsystem of studies the rational construction of <em>evident images</em> of architectural objects;</p> <p><em>The methods of pedagogical research </em>is: theoretical, diagnostic and forming on dialectics-logical to basis;</p> <p>The <em>research results</em> is correct implementation of his tasks.</p> <p><em>Conclusion: </em>1<em>.</em> Introduction of system paradigm of understanding of nature of objects in the theory of their images converts a traditional descriptive geometry as applied educational discipline into a system descriptive geometry as fundamental mathematical science which must be the first special, but not general discipline for professional geometric-graphics preparation of future architects. 2. Didactics maintenance of a system descriptive geometry marks it as <strong>new direction</strong> of subsequent development of theory of circulating images, and pedagogical technology of its studies of students-architects is <em>innovative.</em></p> 2018-04-12T18:56:56+00:00 ##submission.copyrightStatement## Promotion publications in journals included in the international scientometric databases as an element of modern scientists’ mobility 2018-04-12T19:07:35+00:00 Вікторія Василівна Ткачук <p><em>Research goals</em>: to analyze the topical issues popularizing publications in international journals included in scientometric databases; to consider the regulations that govern the relevance publications scientific achievements in these publications. The main <em>research</em> <em>objective</em> is to highlight the most popular scientometric databases, such as Scopus, Web of Science, Index Copernicus, Google Scholar. <em>The research object</em> are the concepts of «bibliometric», «scientometric database», «index of citations», «impact factor». The<em> research subject:</em> promotion publications in journals included in the international scientometric databases as an element of modern scientists’ mobility. The<em> research results: </em>determined that the publication of scientific papers in journals included in scientometric databases allows to analyze their scientific achievements, quote and if possible to join them.</p> 2018-04-12T19:07:35+00:00 ##submission.copyrightStatement## Use of cloud technologies in the educational environment 2018-04-12T19:15:16+00:00 Валерій Олексійович Воронов <p>While research has been carried out analysis of existing cloud technologies, their use in educational activities and opportunities offered by modern cloud technologies in educational practice.</p> <p><em>Research hypotheses</em>: using cloud technology in the practice of secondary school increase information competence of all members of the educational process, and implement new approaches to improve the educational process.</p> <p><em>Main task</em>: to analyze the possibilities of cloud services for wider implementation in the educational process.</p> <p><em>Research object</em>: the use of cloud services in the educational activity.</p> <p><em>Research subject</em>: the use of cloud services in the educational activity of secondary school.</p> <p>Used theoretical and empirical <em>research methods</em>.</p> <p><em>Conclusion</em>: due to modern cloud technologies and government support of “Open World” project educational institutions are able to: formulate and refine information culture of all participants of the educational environment, establish improved communication between members of the educational environment, improve the educational process based on cloud technology, using cloud services for storage educational process data.</p> 2018-04-12T19:15:16+00:00 ##submission.copyrightStatement## The concept of virtualization automation objects in educational and research tasks of development control systems 2018-04-12T19:23:08+00:00 Валерій Анатолійович Жеребко <p>The problem of using virtualization technology imitation patterns of technical control plants (CP) in the development of control programs for controller platforms (PLC) field-bus of industrial automation. It is proposed a generalized concept of virtual plants automation (VPA), which can significantly improve the quality and speed of solving system integrators design decisions in the development of automated control systems in teaching process and in the industrial sector. The structural elements of the VPA is virtual hardware automation and virtual simulation model of CP. An example of the introduction of the concept of teaching VPA – flax methodological field of technical university. As a means of drafting VPA in laboratory workshops offered utilized high-speed free software simulator PLC and programming language BASIC for CP. As an extension of the proposed concept is proposed virtualizated distributed control system, with members from several separate VPA and a virtual controller.</p> 2018-04-12T19:23:08+00:00 ##submission.copyrightStatement## Using the animation to nature disciplines’ study 2018-04-13T08:23:56+00:00 Тетяна Миколаївна Крохмаль Олександр Миколайович Нікітенко <p>This article aim is using computer mathematics system Maple to create animation images for study of nature disciplines. Based on a string that fixed at each ends it was shown algorithm to design an animation images.</p> <p>Background – the <em>research focus</em> is to define a computer mathematics system Maple options to solve partial differential equations, to build wave equation solution and animation images such solutions, <em>object </em>is study process using an animation images, <em>subject</em> is using animation images for study of nature disciplines and <em>goals </em>are shown how to build animation images using computer mathematics system Maple to next study of nature disciplines;</p> <p>The <em>research methods</em> used computer mathematics system Maple options to solve partial differential equations and creating animation images such solutions.</p> <p>The <em>results</em> of the research based on string that fixed at each ends it was shown algorithm to design an animation images.</p> <p><em>Conclusion</em>: it is shown to solve partial differential equations using computer mathematics system Maple and creating animation images.</p> 2015-09-04T00:00:00+00:00 ##submission.copyrightStatement## Information and communication technologies as a tool of forming an learning environment in primary school 2018-04-13T08:30:37+00:00 Марина Володимирівна Пікалова <p>Article task was to consider the theoretical aspects of information and communication technologies in the learning environment and the process of introducing in the primary school. The article discussed ICT as one of the reasons for the active development of pupils and effective forming of integrated learning environment in primary school. Describes the results of the questionnaire, the survey and analysis of open classes of primary school teachers, delegated from Germany concerning methodical system ICT use in teaching and preparing lessons. As a result, describes methods to work effectively with the use modern opportunities of ICT on the lessons of for the systematization of methods and their use. The main conclusion is that the use of ICT teaching-education process will be pushfor forming an integrated learning environment in primary school.</p> 2015-09-04T00:00:00+00:00 ##submission.copyrightStatement## Building a knowledge base of expert systems as a kind of educational activity 2018-04-13T08:39:39+00:00 Ирина Николаевна Пустынникова Виктория Сергеевна Голдина Анастасия Игоревна Каплун Ольга Николаевна Панченко <p>The article discusses different ways to use expert systems in preparation of future teachers. An algorithm of building of planning expert system and examples of its application for the construction of various knowledge bases are proposed.</p> <p><em>Purpose:</em> To conduct a theoretical analysis of the use of program shell BESS in teacher training.</p> <p><em>Objectives:</em> 1) to analyze ways of expert systems usage in teacher training; 2) to consider the possibility of diagnosis of knowledge and skills of students in constructing knowledge bases of expert systems.</p> <p><em>Object of research</em>: the process of teaching students in higher education with the application of expert systems.</p> <p><em>Subject of research</em>: specifics of using program shell BESS in teacher training.</p> <p><em>Methods of research</em>: analysis of the literature devoted to usage of expert systems in education.</p> <p><em>Results</em>: the effectiveness of using program shell BESS in teacher training is proven.</p> <p><em>Conclusions</em>: the use of building knowledge bases of expert systems for diagnosis of knowledge and skills of students contributing to students better learning.</p> 2015-09-04T00:00:00+00:00 ##submission.copyrightStatement## Using of interactive geometrical environments for organization control of quality of students’ knowledge 2018-04-13T08:46:13+00:00 Олена Володимирівна Семеніхіна Марина Григорівна Друшляк <p>The article is devoted the questions of the use of interactive geometrical environments (IGE) for organization the automated verification of mathematical knowledge and abilities. Authors give the example of task on a construction, where the instrument of «Check answer» is used, it is marked about other instruments of «Checkbox» and «Input box for answer».</p> <p>Background – the <em>research focus</em> is to define possibility of the use of facilities of IGE for organization the automated verification of results of studies of mathematics facilities, <em>object </em><em>–</em> control of quality of mathematical knowledge, <em>subject</em> – computer instruments which allow to organize control of quality of mathematical knowledge.</p> <p><em>The </em><em>research methods</em>: an analysis of Internet-resources and generalization of experience of the use of the programs of dynamic mathematics on the different stages of studies.</p> <p><em>The</em> <em>results </em><em>–</em> an environment «Mathematical Designer» is selected, because its developers are foresee instruments «Check answer», «Input box for answer», «Checkbox», which allow the teacher of mathematics to organize the automated control of results of educational activity.</p> <p><em>Conclusions</em>: there are modern IGE, which allow to organize the automated control of mathematical knowledge.</p> 2015-09-04T00:00:00+00:00 ##submission.copyrightStatement## Computer networks simulation in the training of specialists in the natural-mathematical cycle 2018-04-13T08:56:50+00:00 Лілія Василівна Боднар <p>Динамічний розвиток мережних технологій призводить до виникнення великої кількості комп’ютерних мережних систем. Реалізація таких систем на практиці пов’язана із значними витратами на технічне та програмне забезпечення. Особливо ця проблема стосується студентів природничо-математичних спеціальностей, для яких інформаційні технології складають основу загальної підготовки спеціаліста.</p> <p>Наприклад, можна студента навчити, як розгорнути повноцінний файловий сервер на різних платформах та зробити порівняльний аналіз цих реалізацій. Слід зазначити, що студент не зможе дати повний аналіз реалізації цих серверів, не протестувавши їх в реальному робочому середовищі, яке може складатись, в свою чергу, також з різних платформ. Для реалізації даної схеми потрібно буде виділити одному студентові мінімум два сервери на різних платформах та близько 5-10 робочих станцій на різних платформах, а також час на реалізацію цього завдання. Якщо взяти до уваги, що іншим студентам потрібно буде виділити такі ж самі ресурси, то такі заняття стають матеріально невигідними.</p> <p>Розвиток віртуальних технологій за останні роки надає можливості вирішувати вказану проблему шляхом моделювання комп’ютерних мережних схем.</p> 2018-04-13T08:56:49+00:00 ##submission.copyrightStatement## Interpretation of test results based on the logistic model in the spreasheet 2018-04-13T09:02:20+00:00 Олександр Геннадійович Колгатін Лариса Сергіївна Колгатіна <p>У середині ХХ сторіччя видатними вченими було розроблено нову на той час теорію інтерпретації результатів педагогічного тестування. В основу цієї теорії покладено ідею моделювання імовірності правильної відповіді на завдання тесту за допомогою функції спеціального виду. Аргументами цієї функції є показник підготовленості тестованого й параметри, що характеризують завдання. В англомовній літературі теорія відома під назвою IRT (Item Response Theory), що може бути дослівно перекладено як теорія відгуку (характеристики) тестового завдання. У вітчизняній тестологічній термінології цю теорію часто називають сучасною або математичною, але частіше за все застосовують абревіатуру IRT. Означена теорія внесла неоцінний внесок у розвиток тестових технологій. Завдяки застосуванню IRT з’явилася можливість порівнювати результати тестування за варіантами тесту з різними завданнями, навіть з різною кількістю завдань. По-перше, це відкрило перспективи для розвитку комп’ютерного адаптивного тестування. По-друге, сприяло розвитку технології психометричного зрівнювання варіантів класичних тестів.</p> <p>Поширене впровадження тестових технологій у систему освіти потребує всебічного ознайомлення майбутніх педагогів із досягненнями світової тестології. Враховуючі значення IRT, її вивчення має бути одним із ключових питань фахової підготовки студентів. Але повноцінне викладення теорії спирається на спеціальні розділи обчислювальної математики, і це стримує впровадження IRT у навчальний процес педагогічних університетів. Безумовно, існує безліч програмних засобів, які реалізують обчислення, пов’язані із застосуванням IRT, але ці засоби – вузько спеціалізовані, їх застосування передбачає ознайомлення з специфічним інтерфейсом і потребує багато навчального часу. Тому ми пропонуємо здійснити навчальне моделювання процедури інтерпретації тестових результатів на основі IRT за допомогою табличного процесора загального призначення Microsoft Excel. Під час виконання обчислень студенти власноруч створюють відповідну модель інтерпретації, що сприяє поглибленому розуміння методології IRT. Застосування вбудованого засобу Microsoft Excel «Пошук розв’язку» звільняє студентів від необхідності будувати й налагоджувати алгоритми обчислювальної математики для визначення параметрів логістичної моделі та показників підготовленості тестованих. Виконання лабораторної роботи сприяє розвитку навичок володіння інформаційними технологіями загального призначення, що також є одним із завдань фахової підготовки майбутніх учителів. Розроблені навчально методичні матеріали впроваджено нами в процес підготовки спеціалістів за спеціальностями 7.04010101 «Хімія» (спеціалізація «Інформатика»), 7.04030201 «Інформатика» (спеціалізація «Англійська мова»), 7.04030201 «Інформатика» (спеціалізація «Математика») і магістрів за спеціальністю 8.04030201 «Інформатика» в Харківському національному педагогічному університеті імені Г.&nbsp;С.&nbsp;Сковороди.</p> 2018-04-13T09:02:20+00:00 ##submission.copyrightStatement## Application of multimedia technologies in the course of physics 2018-04-13T09:12:07+00:00 Александр Иванович Спольник Любовь Мстиславовна Калиберда <p>Освоение курса физики в высшей школе немыслимо без современной лабораторной базы. Приобретение дорогостоящих современных физических приборов для технического вуза весьма проблематично, что заставляет сделать выбор в пользу проведения физического эксперимента в условиях имитации на компьютере.</p> <p>Переход на новую технологическую основу лишает студента не только живого наблюдения за натурным экспериментом, но и возможности приобрести ценный опыт практической подготовительной работы по созданию установки, устранению неполадок и т. д. Однако указанные потери в значительной мере компенсируются существенным расширением спектра доступных студенту исследований, наличием удобных инструментов для их проведения, освобождением от рутинной работы по выполнению трудоемких расчетов и построению графиков, возможностью использования выразительных средств инфографики, которые сегодня являются необходимым атрибутом полноценной исследовательской деятельности.</p> <p>В настоящее время разработано большое количество инструментов для имитации физических процессов и явлений, а также визуализации полученных данных, что является одним из самых эффективных методов представления сложных процессов и связей. Разработаны практикумы по моделированию в среде математических пакетов, например, Matlab. На наш взгляд, целесообразно найти бесплатные и в то же время эффективные инструменты, позволяющие реализовать поставленную задачу – создание комплекса виртуальных лабораторных работ по физике.</p> 2015-09-04T00:00:00+00:00 ##submission.copyrightStatement## Realization of the method of identification of a person in a photo portrait using the R-package 2018-04-13T09:17:00+00:00 Алла Леонидовна Столяревская <p>Распознавание человека по чертам (геометрии) лица – одно из самых динамично развивающихся направлений в биометрической индустрии. Распознавание лиц на изображении – неотъемлемая часть систем идентификации людей, которые применяются в системах контроля удостоверения личности, для информационной безопасности, в криминалистике, в банковской сфере. Системы распознавания человека по изображению лица выделяются среди биометрических систем тем, что они не требуют специального дорогостоящего оборудования.</p> <p>Среди существующих в настоящее время различных методов, применяемых в системах распознавания лица, выбран метод «eigenfaces» – так называемое «собственное лицо». При этом типе распознавания используется двумерное изображение в градациях серого, в данном случае, в формате JPEG. В момент регистрации «eigenface» каждого конкретного человека представляется в виде ряда коэффициентов. Для режима установления подлинности, в котором изображение используется для проверки идентичности, «живой» шаблон сравнивается с уже зарегистрированным шаблоном с целью определения коэффициента различия. Степень различия между шаблонами определяет факт идентификации.</p> <p>Для реализации выбранного метода идентификации человека использован пакет R – среда вычислений с открытым исходным кодом. Особенностями пакета R являются: доступность для разных ОС; использование для автоматизации анализа данных; возможность предварительной обработки изображений в формате JPEG с помощью специальной библиотеки biOps (сокращении размерности, нормализация, сглаживание, сжатие). Сглаживание изображения происходит при помощи функции медианного сглаживания. В работе используется метод сглаживания изображения с одновременным сжатием.</p> <p>В качестве обучающих исходных данных в работе использованы данные из БД The Database of Faces. При распознавании вводились фотографии как лиц, оговоренных в системе идентификации, но не входящих в обучающую выборку, так и других лиц, входящих в базу ORL.</p> <p>&nbsp;</p> 2015-09-04T00:00:00+00:00 ##submission.copyrightStatement## Our authors 2018-04-13T09:20:09+00:00 Sergey Semerikov 2015-09-04T00:00:00+00:00 ##submission.copyrightStatement## Index 2018-04-13T09:22:44+00:00 Sergey Semerikov 2015-09-04T00:00:00+00:00 ##submission.copyrightStatement## Index 2018-04-13T09:24:32+00:00 Sergey Semerikov 2015-09-04T00:00:00+00:00 ##submission.copyrightStatement## Editorial data 2018-04-13T09:27:47+00:00 Sergey Semerikov 2015-09-04T00:00:00+00:00 ##submission.copyrightStatement##