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List of publications on a keyword: «Mathematica»

  • Using V. Voskobovich's Game Technology in Kindergar-Ten as a Basis for Creating a Psychologically Comfortable Developing Environment

    Proceeding
    Psychologically Safe Educational Environment: Design Problems and Development Prospects
    Authors:
    Evgeniia N. Grigorenko, Marina G. Pogretskaia, Iana A. Shnareva, Irina E. Serbina
    Work direction:
    Creating a psychologically comfortable and safe educational environment: technologies, diagnostics, practice, expertise
    Abstract:
    This article introduces a unique gaming technology in its capabilities “Fairy mazes of the game”, as well as a system of developing of logical and mathematical representations and skills based on the use of games by V. Voskobovich.
    Keywords:
    game technology, child's mental abilities, child's creative abilities, logical-mathematical games, discoveries
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  • Priamoi metod Liapunova i ego izlozhenie v sovremennom uchebnom protsesse

    Book Chapter
    Education and science: current trends
    Authors:
    Olga G. Antonovskaia, Antonina V. Besklubnaia
    Work direction:
    Глава 1. Теоретические аспекты образования
    Abstract:
    The article is devoted to the problem of the full treatment of the subject “Construction of Lyapunov functions” in the “Lyapunov's direct method” section in the courses on system dynamics, differential equations, etc., for students of mathematical and technical specialties. The authors of the article point out that first of all Lyapunov function method is considered the method useful for studying dynamics of concrete technical systems by mathematical methods. Since for practical use of this method it makes sense to construct Lyapunov functions in simplest form, the methodology for constructing Lyapunov functions in positive definite quadratic forms with given properties, certain features of original problems is proposed by the authors.
    Keywords:
    professional activity of the trainee, fundamentals of education, professionally significant and practical goals of education, ability to construct models of real phenomena, mathematical methods of research, stability theory, Lyapunov's direct method, positive definite quadratic form, Lyapunov matrix equation
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  • Ob ispol'zovanii sistem komp'iuternoi algebry v universitetskikh kursakh matematiki

    Proceeding
    Pedagogical and sociological aspects of education
    Author:
    Aleksei V. Genk
    Work direction:
    Тенденции развития цифрового образования
    Abstract:
    В статье обсуждается возможность применения систем компьютерной математики «Maple» и «Mathematica» в преподавании общих курсов математики (математического анализа, линейной алгебры, теории вероятностей и др.) в университетах не только технических направлений. На ряде примеров показывается эффективность их использования для углубления понимания материала и расширения возможностей обучающихся для решения сложных задач.
    Keywords:
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  • Analysis of Applied Problems in Modern Textbooks of Algebra and Geometry from Positions of the FSES BGE Requirements

    Research Article
    Development of education No 4 (6)
    Author:
    Aleksandr V. Bychkov
    Work direction:
    Education system in Russia
    Abstract:
    The article discusses the concept of «mathematical literacy», which is important from positions of the PISA international studies requirements. There are three types of activity (formulation of the situation mathematically, application of mathematics, interpretation of the result), the possession of which is checked in the PISA study. The article presents the subject results formulated in the FSES of BGE, on the study of which the subject area «Mathematics» is aimed, reflecting the need for the formation of selected components of mathematical literacy in students. The article presents the results of the analysis of tasks presented in the most common textbooks on algebra and geometry of the main school. The purpose of the analysis was to identify the presence of practice-oriented tasks in textbooks that meet the requirements of the FSES of BGE and the requirements of diagnostic tools used in international PISA studies. During the study the following methods were used: comparison, analysis, theoretical. The study was based on the most frequently used in school practice textbooks of the following authors: L.S. Atanasyan, V.F. Butuzov, S.B. Kadomtsev, E.G. Poznyak, I.I. Yudina, L.S. Atanasyan, V.F. Butuzov, etc. Result: the article presents the results of the analysis of the problem material presented in the most common textbooks on algebra and geometry of the general school. On the basis of the analysis of three author's lines on the study of geometry in the general school, common problems are identified. An example of a practical problem, confirming the conclusions, formulated during the analysis is given. The authorcomes to the conclusion that there is still lack of practice-oriented tasks in modern textbooks on algebra, helping to motivate students to conscious assimilation of mathematical facts and statements, providing the formation of the ability to model on the basis of a real, life situation.
    Keywords:
    international PISA studies, FSES of BGE, disadvantages of national tasks, formulating situation mathematically, application of mathematics, interpretation, algebra, geometry
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  • Program of the correction of the speech of children with the limited opportunities of health of the senior preschool age in the process of forming elementary mathematical representations «Reche-matika»

    Research Article
    Development of education No 1 (3)
    Authors:
    Larisa V. Varaksina, Natalia I. Chekunova, Larisa N. Kustikova, Olga M. Pozolotina
    Work direction:
    Practice
    Abstract:
    In the article the authors reflect the main theses of the author's program aimed at enriching the active vocabulary, developing coherent, grammatically correct dialogical and monologue speech in older preschool children with disabilities in the process of forming ideas about the shape, size, rhythm, amount, number, parts and whole, space and time. This work makes it possible to increase the effectiveness of the correctional and developmental process in compensatory oriented groups of children with a general underdevelopment of speech.
    Keywords:
    speech correction, elementary mathematical concepts, correctional and developmental program, calendar and thematic plan
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  • Templates and algorithms in the mathematical engineering training

    Research Article
    Development of education No 2 (2)
    Authors:
    Viktoriia G. Kazakevich, Elena A. Tolkacheva
    Work direction:
    Theoretical and applied research in education
    Abstract:
    The work considers the types of thinking and levels of their formation, based on a two-factor classification of educational tasks. Examples of pattern tasks and algorithm tasks are given. It was hypothesized that a transition to the next level of education implies a step in the predominance of the type of thinking (in the proposed typology). The main methods of testing the hypothesis will be the development of systems of tasks-markers to identify the type of thinking and the level of its formation; a comparative analysis of types of thinking formation and the success of training, its effectiveness; classification of educational mathematical problems for the formation of the program of the future engineer.
    Keywords:
    thinking, analysis, synthesis, mathematical training, classification of tasks, template, algorithm, typology of thinking, level of higher education
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  • Ispol'zovanie spetsial'nykh professional'nykh kompetentsii v matematicheskom obrazovanii bakalavrov v Kabardino-Balkarskom gosudarstvennom agrarnom universitete im. V.M. Kokova

    Book Chapter
    Education and science: current trends No 2
    Authors:
    Mukhadin M. Khachev, Svetlana A. Temmoeva
    Work direction:
    Парадигмы современного образования
    Abstract:
    Effective activity of each university is impossible without taking into account its specifics and individual features. In this regard, in each educational institution there is a need to develop and apply additional competencies, and accordingly their own work programs, pedagogical innovations, methodological and didactic materials on academic disciplines in addition to the competencies specified in the Federal State educational Standards of Higher Education that meet the requirements of the competence approach. Such concretization taking into account regional, mental, personal features both of teachers and students is inevitable. Therefore, some opportunity to maneuver is necessary, making something of their own, individual by each university, each individual teacher in the education process. In KBSAU named after V.M. Kokov the pointed out work is carried out within the framework of special professional competences. The authors of the monograph tried to justify the necessity and usefulness of such competencies usage, to show how their use affected the disclosure of personal qualities of students, the development of their abilities for independent work, the creation of new models of lectures and classroom trainings at the university, presented methodological approaches to the organization, conduct and evaluation of extracurricular work.
    Keywords:
    competence approach, educational programs, special professional competences, mathematical disciplines, interactive technologies, innovative training
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  • Kompleksnaia model' fundamental'noi matematicheskoi podgotovki v voennom vuze

    Book Chapter
    Education and science: current trends
    Author:
    Tat'iana I. Abanina
    Work direction:
    Парадигмы современного образования
    Abstract:
    The authors consider the complex modeling of fundamental mathematical education in the military technical university based on the main parameters of the education process and individual characters of students. The authors formulate some research results on the influence of these parameters on the efficiency of the mathematical education. In our investigations we used the statistical analysis.
    Keywords:
    mathematical education, military technical university, complex modeling, technology of professional education, statistical methods
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  • Drawing up tasks as a component of the vocational training of a teacher of mathematics

    Proceeding
    Pedagogical and sociological aspects of education
    Author:
    Шмигирилова Ирина Борисовна
    Work direction:
    Модернизация содержания и технологий профессионального образования
    Abstract:
    In the article one of practical directions of preparation of the future teachers of mathematics - drawing up of problems is considered. The experience of conducting classes within the framework of the discipline "Teaching Technologies for Solving Mathematical Problems", aimed at mastering students' theoretical knowledge and practical skills in self-composition of tasks and the formation of such skills among schoolchildren, is shown, examples of specific tasks used in training are given.
    Keywords:
    the professional competence of the teacher, the mathematical task, the formulation of tasks
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