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: Actual problem of modern theory and methods of teaching mathematics – teaching methods of self-regulation in the process of solving mathematical tasks.

Abstract: In the article proposes a set of methods for teaching algebra at school, which contributes to the adaptation and development of the personality of the student, to increase the efficiency and scientific nature of teaching mathematics.

Abstract: The problem of the formation of personality activity in teaching mathematics is very complex. The question remains for the teacher of mathematics: what methods to apply so that teaching mathematics is effective and practice-oriented, develops personality activity in collective mathematical activity? The paper describes the specifics of the use of case technology in teaching mathematics.

Abstract:

The article is devoted to the issue of the use of digital educational services in the process of teaching students of higher educational institutions. Based on the experience of using various teaching methods and digital resources in teaching students, new digital solutions are proposed that solve some of the didactic tasks and provide new opportunities for organizing the learning process. The main issue under discussion is the possibility of individualization and control of the learning process in the case of the use of teaching video materials by the teacher. By comparing the traditional face-to-face lecture and the training video, the positive and negative effects of each of the approaches to the delivery of lecture material are described. Based on the results of such a comparison, a video lecture model is proposed that includes interactive feedback elements.

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 purpose of mathematical training of bachelors of technical specialties in the framework of the competence approach is the formation of mathematical competence of the specialist, which is expressed in the ability of graduates to apply mathematical methods in professional activities. Competences are acquired by students in the process of mastering the content of education fixed in educational standards and curricula of disciplines. Using new methods and forms of organization of the educational process, using new teaching tools, competencies are formed in lectures and practical classes in higher mathematics.

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

Abstract:

The article discusses the main positions of using the methodological system of teaching the basics of mathematical informatics of future teachers of mathematics. Cloud technologies are considered as one of the means of learning and as an object of study.

Abstract: The article is devoted to consideration of the services of the platform LEARNIS: web quests “Escape the room”, intellectual game “Your quiz”, terminology game “Explain me”. With their help, teachers of any subject area can conduct educational classes in a fun way. Considered services are elements of the system teaching methods proposed by the authors based on mobile technologies.

Abstract:

This article presents elements of the linguistic knowledge graph “Turklang”, developed at the Institute of Applied Semiotics of the Academy of Sciences of Tatarstan and used as a basis for creating a number of linguistic resources and tools: the portal “Turkic Morpheme”, the electronic corpus of the Tatar language “Tugan Tel”, morphoanalyzer. Creating an educational environment requires subject-oriented knowledge graphs, for which methods of general and open graphs are not suitable. This paper describes linguistic knowledge graphs, which reflect, on the one hand, potential capabilities of Turkic languages, and on the other hand, examples of actual use in texts. Peculiarity of these knowledge graphs is that they contain linguistic units of different linguistic levels, and concepts corresponding to meanings of these linguistic units, which are built into the thesaurus of concepts. Structure of this knowledge graph allows to formulate the content of a training course, build an individual educational trajectory, as well as create tests and tools of automated answer grading as part of knowledge control when teaching Turkic languages. This makes it possible to subsequently develop, based on these graphs, training programs taking into account the structural and functional features of the Turkic languages, and also contributes to the implementation of individual goals of students.

Abstract: The learning activities of students during pedagogical practice are aimed at preparing and conducting computer science lessons, and methodological – at analyzing the success of choosing and implementing various approaches, methods, forms and means when working with pupils. The poster report gives students the opportunity to present the results of these activities in a meaningful, considered and interrelated way.

Abstract: The article describes the experience of organizing joint activities of undergraduate and graduate students in analyzing the forming of professional activities during the period of teaching practice.

Abstract: The article is devoted to the problem of forming a culture of students’ thinking. It is noted that the formation of a culture of students’ thinking is interconnected with the process of formation and development of metadisciplinary actions, and the level of formation of cognitive skills characterizes the formation of a culture of students’ thinking. The solution is shown on the example of the organization of training of a functional content line integrated with tasks with parameters.

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 using the van Hiele theory of geometric thinking for the organization of mixed training of students of the pedagogical Department of the N.I. Lobachevsky Institute of mathematics and mechanics KFU on the basis of SPOC course «Elementary mathematics: Plane geometry». Training includes the use of various IT-techniques and tools that can improve the quality of learning and form the necessary professional competence of the future teacher of mathematics. The course implements the technology of project-modular and inverted learning.

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 article the role and place of the course «Elementary mathematics» in the subject-methodical preparation of the future teacher of mathematics at the present stage of higher pedagogical education.

Abstract: In the article presents a variant of the methodology of preparation and implementation of the content of the mathematical discipline of one humanitarian direction of training students for the use of ICT. As an example, the use of e-mail and mobile ICT tools of trainees is chosen.

Abstract: Within the framework of this article, the content of applied mathematical training of an economist in the context of digitalization of economic education will be considered as one of the objects of pedagogical design. Traditionally, the content refers to one of the components of methodological systems, which acts as the main accumulator of the teacher’s pedagogical, didactic and methodological experience. The main directions for improving the applied mathematical training of an economist for working in the digital economy are given. Under the influence of the digitalization trend, basic and variable didactic modules are highlighted.

Abstract:

The article describes the experience of digital transformation of mathematical disciplines based on author's digital educational platform Mirera. The Mirera DEP is optimized for the Russian system of organization of higher education, focused on the development and delivery of courses that combine online and offline technologies for conducting the educational process. The Mirera DEP provides course authors with tools for developing computerized courses with automated verification of the correctness and independence of current and control tasks performed by students using artificial intelligence methods. Various original types of tests are built into the platform, supporting both in the description of tasks and in answer options, content in various formats, including TeX, sequences of elements (for automated testing of student knowledge of the structure of proof of course theorems or schemes for solving typical problems), semantic analysis of text responses, etc.

Abstract:

The article identifies four categories of goals for studying mathematics at school: mastering theoretical positions at the evidentiary level, mastering algorithms for solving mathematical problems that illustrate the provisions of the theory, using the studied algorithms to solve applied and research problems, using mathematical methods and algorithms for teaching programming. Such a selection makes it possible to substantiate and specify the use of digital technologies in the course of mathematics, as well as to ensure their continuity, including with subsequent higher education courses. The importance of using mobile and cloud technologies and applications in independent (home) work of students in mathematics is emphasized.

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: Heuristic techniques permeate the entire process of teaching mathematics and computer science, their application is relevant at any stage of the educational process, when solving any type of tasks. The teacher needs knowledge of heuristics in order to help students discover them in their own activities, understand the essence of methods and learn how to use them.

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.