Abstract: The article is devoted to the use of digital educational resources in the process of teaching mathematics in a primary school. The possibility of using the ”Living Mathematics” electronic educational-methodical set with teaching guidelines on the topic ”Remarkable points of a triangle. Euler's line”. The article is addressed to teachers and students of pedagogical universities, methodologists, teachers of mathematics.

Abstract: The article is devoted to one of the urgent problems of modern mathematical education: the formation of educational and research skills of students in the process of solving problems in the subject area “Mathematics”. The levels of formation of educational and research skills of students are described, based on a set of criteria identified by N.A. Menshikova. It is shown that for the formation of educational and research skills of students it is advisable to use blocks of interrelated educational and research tasks that allow students with a low level of formation of educational institutions to participate in solving problems of a higher level of complexity.

Abstract:

The modern stage of higher education system development is related to the new educational model of specialists training based on the graduates’ competences for further professional and social activity within the conditions of rapidly socio-economic developing of modern society.

Methodological support of educational problems is not only a significant component of federal state educational standards of higher education and one of the important accreditation criteria but is a core element of the new educational model.

Abstract: The article presents a version of the rating system of evaluation of educational achievements of students in the study of “Algebra”. The stages of formation of the final assessment and its correction during the semester are described.

Abstract: For the past seven to eight years the fundamental library of Herzen University has been a key link in the chain of building effective research activities of the university and its implementation in publications. the creation and development by the library of a software module that operates in the Herzen State Pedagogical University of Russia was a new stage in this activity; this module allows real-time output of structured current and comparative data on scientometric indicators of university teachers and researchers. The program module was created on the basis of database interaction with the API of scientometric resources such as Russian Science Citation Index, Scopus and Web of Science with the goal of further processing and systematization of the data obtained. The authors pay special attention to the development prospects of the created complex and the possibilities of data integration, including the implemented earlier synchronization of information with the profiles of teachers on the university website.

Abstract: The article is devoted to dynamic adaptive testing of educational activity of high school students in Krasnoyarsk to solve mathematical problems of transformation of the graph of a quadratic function in electronic problem environments. Dynamic adaptive test simulator allowed to conduct: pre-test, diagnosing the level of residual knowledge of students; dynamic assessment of educational activities in the process of self-learning problem solving; post-test, diagnosing the level of training of students.

Abstract: The article presents significant changes in the field of education, taking place in connection with the active and systematic application of digital information technologies. The main directions of development of informatization of domestic education in conditions of realization of opportunities of digital information technologies are justified and described. The high-level characteristics of the main components of traditional pedagogical science (including didactics) and pedagogical science in conditions of informatization of education of the period of digital technologies have been revealed. The definition of didactics of digital information technology period is presented.

Abstract: The paper identifies professional tasks that need to be solved by a computer science teacher in a digital educational environment. The author presents the experience of organizing and supporting research activities of students of pedagogical Universities related to the study of the application of digital technologies in education.

Abstract: The article describes the main difficulties that students face in the initial period of study at a higher educational institution as part of the study of mathematical disciplines. Possible ways of overcoming these difficulties for students in the field of training Pedagogical education – future teachers of mathematics – on the example of the discipline «Mathematical Analysis» are given.

Abstract: The article discusses the relevance of quality management of mathematical training of students mastering the program of General and higher education. The characteristic of this process, problems are given, management actions at the level of the organization are designated. The article presents the results of pedagogical research of educational institutions of General and higher education of the Eastern zone of the Orenburg region, obtained in the framework of the research “quality Management in General and vocational education” (state registration number НИОКТР № 01201151519).

Abstract: The software package of book supply coefficient calculation represents a monitor that reflects interrelation of printed along with electronic methodological support and principal educational programs implemented in the university. Data provided by the book supply software allows prompt planning, on-time adjusting of printed publications purchase, and forming effective subscription for electronic library databases according to relevancy of the content in a particular university’s current educational process.

Abstract: The main alternatives for the use of mobile devices in the educational process are highlighted. The alternative is the mobile device while it is a tool for a working with specialized and universal applications. In addition, the alternative is the mobile device helping to use augmented reality.

Abstract: The relevance of preparing a teacher to ensure the sustainability of the educational process is justified, the content of a special course designed to solve this problem is described and the concept of an innovative center of active methods of pedagogical correction is proposed.

Abstract: The article discusses the recursive ratios implementation in solving mathematical problems using instrumental software resources. It is emphasized that programs development for solving such problems contributes to a deeper understanding of the recursion process essence.

Abstract: The article considers the role functions of a modern teacher in general secondary education institutions, determined by the polystructural nature of pedagogical activity: subject teacher, teacher-educator, teacher-methodologist + teacher-researcher. The tasks and contents of the methodological support of the discipline for the choice of students of a pedagogical university with a degree in “Mathematics and Computer Science”, focused on the formation of their research competencies, are given.

Abstract: In the article describes the principles of creating an educational space at the master's level that meets new meanings in education, and offers effective forms of interaction of participants in the educational process, corresponding to the selected principles.

Abstract:

Some results of implementation of the “soft” model of geometry teaching in schools of Nizhny Novgorod region are considered. The realization is based on the ideas of experimental mathematics, according to which the content of educational materials (open problems in geometry) is selected and developed. In addition, it is contributing to the development of students’ intelligence. Thus, student models the geometric situation using open-source software actively, is mobile in the selection of the software, understands geometric facts and regularities, acquires the ability to argue (to analyze, to compare, to generalize, to make conclusions). The experience of the using computer experiments at geometry lessons is examined form psychodidactic approach’s point of view. The advantages of special educational tasks are proved: open problems in geometry, which are based on the “soft” model of teaching geometry using the ideas of experimental mathematics. The peculiarity of the proposed open problems in geometry is that they, being a projection of traditional closed classical problems in geometry, at the same time, firstly, provide the formation of the main components of the mental (cognitive, conceptual, metacognitive, intentional) experience of the student and, secondly, create conditions for the manifestation of individual cognitive styles of students. Enrichment of metacognitive experience is carried out by means of chains of tasks, which create conditions for formation of abilities to plan, predict and control the mathematical activity.

Abstract: In the article discusses some approaches to the problem of pedagogical design of educational activities of students taking into account their individual characteristics. Features of the design of individual educational routes in mathematics are revealed.

Abstract: The issues of development of intersubject communications at the present stage of the formation of digital education in the preparation of student architects are discussed. The idea of strengthening intersubject communications, mathematics and architecture is defended by a new meaningful replenishment of educational programs, mastering digitalization skills when solving mathematical problems by mathematical methods, and involving elements of competition implemented using Web technologies in educational activities.

Abstract: The following questions are mentioned: teaching mathematics at the present stage and its purpose; mathematical language students – as a major component of mathematical training; scientific – psychological and scientific – methodical speech of pupils of secondary schools; the development of mathematical speech of pupils.

Abstract:

In article the main requirements to development and deployment of the automated information systems at the Almetyevsk state oil institute on the basis of the analysis of operation of a control system of educational process of higher education institution are formulated.

Abstract:

The article introduces the analysis of the concepts "information retrieval activity" and "information retrieval competencies", as well as defines the place of information retrieval activity in the educational activity of students of universities.

We conducted a questionnaire design of the first and second year students for studying their knowledge of the diversity of information retrieval systems and the ability to adequately choose information retrieval systems for thematic, targeted and factual information retrieval. The students were offered a list of 14 answers, including both traditional and electronic information systems.

The results of analysis show, that the students are familiar with a limited range of information retrieval systems, and most often use the Internet search engine for searching information. Most students ignore traditional bibliographic systems, as well as information systems, which require special knowledge and skills of using search strategies for use.

Obviously, it is necessary to carry out purposeful activity on formation of information retrieval competencies of pupils and students based on the special training courses.

Abstract: This article discusses the project approach in the organization of educational activities. A brief description of educational and research projects in NArFU is given.

Abstract: The article focuses on the issues of modernizing the teaching of mathematical disciplines in the context of the digitalization of pedagogical objects: the educational process, methodological systems for teaching mathematical disciplines, educational paths for the development of key and subject competencies in the field of mathematics, mathematical and simulation modeling. The demand for digital technologies and digital products for the practice of mathematical preparation of the future bachelor is noted. From a methodological and research point of view, digital technologies are described that are essential for improving the quality of mathematical training.

Abstract: In the article discusses the use of active methods in teaching students pedagogical areas of mathematics.