Abstract: The subject of this research is the transformation of the performance monitoring system of university students due to implementation of the teaching concept “self-study – solution – verification – correction”. The article analyzes the forms of control of knowledge, competences and skills of the students in the aforementioned conditions, and marks the possible ways for improving such forms of control. Special attention is turned to the increase of educational function of control along with the role of current practical monitoring, including individual ongoing monitoring. Methodological foundation contains the analysis of scientific publications, expert evaluation, and generalized practical experience in determining the key trends and issues, emerging in realization of performance monitoring. The article defines the peculiarities of individual interview in the course of practical training. Effectiveness of the method of successive approximations in educational function of the ongoing monitoring is revealed. The corresponding changes of final control are demonstrated. It is concluded that transformation of the learning concept leads to the need for adjusting the approaches towards performance monitoring of the students, and primarily, the ongoing monitoring.

Keywords: teacher, university, students, individual survey, forms of control, final control, current control, performance monitoring, learning concepts, practical skills control

Abstract: This article examine the bases of functionality of the information-interactive complex (IIC) as an instrument for establishment of graphic competence of the bachelors of technical specialties. The author underlines the necessity of implementation of the modern technologies and solutions in the area of education as the means of its development, particularly in the process of establishment of graphic competence. IIC is viewed as an instrument for solution of educational task aimed at preparation of the future qualified university graduate. The subject of this work is the information-interactive complex intended towards establishment of graphic competence of the bachelors of technical specialties. The research methods include the examination and analysis of pedagogical and scientific-methodological literature dedicated to the questions of training, legal framework, normative-technical documentation concerning the requirements to the quality of information systems; terminological analysis of the concepts of interactivity, affordability, plausibility, timeliness and efficiency of information delivery, adequacy, representativeness, information security aimed at the disclosing of their meaning in the context of establishment of graphic competence. The article determines the components of information-interactive complex of establishment of graphic competence of the bachelors of technical specialties, specifies and substantiated the principles of its functionality, structures the tasks solved within the framework of IIC by its users.  

Keywords: graphic competence, information and interactive complex, electronic resource, educational resource, information systems, information and communication technologies, educational process, competence, information properties, engineering and graphic disciplines

Abstract: The subject of study is the ecological education of preschool children, formation of children's ideas about the interrelations in nature. The relevance of the study relates to the need of modern society into comprehensively developed young generation, having developed skills, creative activity, owning culture of environmental awareness. Environmental education aimed at the preservation and reasonable use of natural resources based on knowledge of the laws of nature. In this regard, there is a constant search for effective methods and forms of ecological education of preschool children. The modeling method allows intuitive and accessible for children to reproduce the hidden properties and communications of the natural object. The ability to visual spatial modeling is one of the fundamental specific human abilities.The research methodology was based on the study of the views of preschool children about the interrelations in nature, skill in building the simplest models that reflect the relationships in nature. As research methods were used analysis and generalization of literature, conversation, practical tasks and observations of different activities of children.The results showed that the positive dynamics in ecological education of preschool children is achieved through the development of children's visual spatial modelling, use of models, fixing a logical sequence with natural texts, acting as plan, provide understanding of children's relationships and dependencies that exist in nature; the use of complex models: a subject – allowing to reproduce the structure, characteristics, internal and external relationship of real objects and phenomena of nature; subject – schematic – allows you to select the characteristics, relations and objects of nature, which helps to understand the value of protective coloration of animals; graphical models transmitting signs, ties and relationships of natural phenomena.

Keywords: activity, modelling, method, relationship, submission, educational, environmental, model, preschool, scheme

Abstract: The subject of the study is a very important and urgent issue of modern education - the training of competent professionals who are able to make weighted management decisions in various fields of activity.The subject of the study is the role and significance of mathematical culture in enhancing the professional competence of students in economic and related areas of training.Particular attention is paid to the study of the connection between mathematical culture and professional competence. The modern state of mathematical education is described, the relation of mathematics and computer science is analyzed, the use of information and computer technologies in mathematical education is analyzed.The methodology of the study is based on the theory of modeling, based on the formal-constructive interpretation of the model. Methods of research: analysis of own pedagogical practice of mathematical education, analysis and synthesis of advanced Russian and foreign research, modeling.The main findings of the study are:1. The mathematical culture of the graduate and specialist remains one of the key components of the culture of modern society.2. The professional competence of the graduate and specialist includes a cultural component, of which the mathematical culture is an integral part.3. A specially organized mathematical education at the economic university allows successfully to solve the problem of increasing the professional competence of the graduate.The novelty of the research is that at the basis of this special organization is the model of mathematical culture as an infrastructure for the perception and processing of information and the exchange of information consisting of a system of phenomena, a system of relations, a system of interfaces and a management system.

Keywords: information technologies in education, mathematical education, the mathematization of society, mathematical models, language of mathematics, mathematical culture, culture, professional competence, modeling theory, mathematical culture model

Abstract: The Internet allows to organize individual and group interaction between students and teachers during the learning. Traditional education is connected to a row of restriction which can be overcome by means of Internet resources. In this article the author considers possibility to get the second higher education and taking courses in foreign universities using the Internet. In this paper the author analyzes using distance learning in the educational process. The purpose of article to define the positive role, methods of implementation of distance learning and study main types through the Internet technologies. The theoretical analysis of the Russian scientific literature and review of the leading web resources providing online training are the methods of research of this article. The author gives the list of the best providers of Massive Open Online Courses (MOOC).

Keywords: innovative education, traditional education, distance education, self-study, web-resource, Internet technology, communication, software platform, Internet communication, educational process

Abstract: The article is devoted to the solution of the main task of the mathematical learning theory which is to define the level of knowledge of a student studying a discipline. The researcher states that all the acquired academic knowledge can be conditionally divided into the two categories: 1) ephemeral knowledge that is easily forgotten, and 2) time-proof knowledge (skills) developed through multiple repetitions of the academic material that is slowly forgotten. The given simulation model also takes into account the dependence of the ratio of knowledge acquisition and time a student spends on studying the material on the overall level of student's actual knowledge. To achieve the objectives of the research, the researcher has used the methods of the analysis and synthesis of complex systems, mathematical and computer simulation. The scientific novelty of the research is caused by the fact that the researcher proves that it is possible to create a two-component probability model for studying an academic discipline and this model may include: 1) probability of a student studying a new issue or repeating the material; 2) increasing share of time-proof knowledge as a result of a growing number of repetitions; 3) reduction of time spent on studying a particular material while repetitions of the material grow; 4) growing ratio of knowledge acquisition while the overall quantity of knowledge and/or knowledge of this particular material multiply. The given model allows to monitor the dynamics of student's growth of overall knowledge and his knowledge of a particular discipline.

Keywords: didactics, learning theory, learning simulation, computer model, mathematical simulation, programming, didactic system, cquisition, forgetting, quantity of knowledge

Abstract: The main purpose of the article is to determine the way out of the long escalated University crisis by specifying University’s goals, roles, basic values and mission. The article analyzes the history of the university from the founding of the first universities in Western Europe in the XIth century to the beginning of the XXI century. The author also applies historical and philosophical analysis to articles and works of famous philosophers, historians, educators, and modern researches of Russian and foreign authors. Special attention is given to the common problems of universities: the problem of effectiveness of education, the problem of independence from church, government and other public institutions. The results of this research have theoretical and practical meaning, the article can be used for further theoretical researches in the field of scientific ethics and the ethics of education. The results of this research will be useful for teachers and university administration while choosing the strategy of university development, in the history and philosophy courses. The author concludes that it is impossible to ignore the tendencies of commercialization of the higher education and orientation of the educational process to the needs of the labour market, but still it is vital not to forget about the basic values of the University stated by Humboldt V. in the XIXth century.

Keywords: university, ethics, higher education, ethics of science