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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">mininuniver</journal-id><journal-title-group><journal-title xml:lang="ru">Вестник Мининского университета</journal-title><trans-title-group xml:lang="en"><trans-title>Vestnik of Minin University</trans-title></trans-title-group></journal-title-group><issn pub-type="epub">2307-1281</issn><publisher><publisher-name>Minin Nizhny Novgorod State Pedagogical University</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.26795/2307-1281-2020-8-4-2</article-id><article-id custom-type="elpub" pub-id-type="custom">mininuniver-1146</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>ПРОФЕССИОНАЛЬНОЕ ОБРАЗОВАНИЕ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>VOCATIONAL TRAINING</subject></subj-group></article-categories><title-group><article-title>Основы проектирования цифровых симуляторов для подготовки учителя математики</article-title><trans-title-group xml:lang="en"><trans-title>The basics of designing a digital simulation for the preparation of teachers of mathematics</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-3564-9737</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Галиакберова</surname><given-names>А. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Galiakberova</surname><given-names>A. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Галиакберова Альфинур Азатовна – кандидат экономических наук, ректор НГПУ, доцент кафедры истории и методики ее преподавания</p><p>Набережные Челны</p></bio><bio xml:lang="en"><p>Galiakberova Alfinur A. – Candidate of Economic Sciences, Rector of NSPU, Associate Professor of the Department of History and Methods of its Teaching</p><p>Naberezhnye Chelny</p></bio><email xlink:type="simple">ngpi@tatngpi.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-2988-2911</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Галямова</surname><given-names>Э. Х.</given-names></name><name name-style="western" xml:lang="en"><surname>Galyamova</surname><given-names>E. K.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Галямова Эльмира Хатимовна – кандидат педагогических наук, доцент, заведующий кафедрой математики, физики и методик их обучения</p><p>Набережные Челны</p></bio><bio xml:lang="en"><p>Galyamova Elmira K. – Candidate of Pedagogical Sciences, Associate Professor, Department of Mathematics, Physics and Teaching Methods</p><p>Naberezhnye Chelny</p></bio><email xlink:type="simple">egalyamova@yandex.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-8593-0500</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Киселев</surname><given-names>Б. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Kiselev</surname><given-names>B. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Киселев Борис Васильевич – старший преподаватель кафедры информатики и вычислительной математики</p><p>Набережные Челны</p></bio><bio xml:lang="en"><p>Kiselev Boris V. – assistant professor of the department of computer science and computational mathematics</p><p>Naberezhnye Chelny</p></bio><email xlink:type="simple">boris@karnaval.su</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru">Набережночелнинский государственный педагогический университет<country>Россия</country></aff><aff xml:lang="en">Naberezhnye Chelny State Pedagogical University<country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2020</year></pub-date><pub-date pub-type="epub"><day>05</day><month>11</month><year>2020</year></pub-date><volume>8</volume><issue>4</issue><fpage>2</fpage><lpage>2</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Галиакберова А.А., Галямова Э.Х., Киселев Б.В., 2020</copyright-statement><copyright-year>2020</copyright-year><copyright-holder xml:lang="ru">Галиакберова А.А., Галямова Э.Х., Киселев Б.В.</copyright-holder><copyright-holder xml:lang="en">Galiakberova A.A., Galyamova E.K., Kiselev B.V.</copyright-holder><license license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://www.minin-vestnik.ru/jour/article/view/1146">https://www.minin-vestnik.ru/jour/article/view/1146</self-uri><abstract><sec><title>Введение</title><p>Введение. В статье рассматриваются положительные стороны внедрения цифровых симуляторов педагогической деятельности в процесс профессиональной подготовки учителя. Предметом исследования стали наиболее значимые технические факторы, влияющие на проектирование цифрового симулятора для профессиональной подготовки учителей математики. Рассмотрены методологические подходы симуляции процесса обучения поиску решения задач.</p></sec><sec><title>Материалы и методы</title><p>Материалы и методы. В работе над статьей был проведен теоретический анализ отечественных и зарубежных научных источников (статей и публикаций по теме исследования, результатов диссертационных исследований по педагогике и психологии), технический анализ платформ, позволивший обобщить и систематизировать международный и российский опыт как в отношении профессиональной подготовки учителей, так и в отношении особенностей различных виртуальных тренажеров. Применялись: метод теоретического обобщения, контент-анализ, технический алгоритм применения компьютерных программ в моделировании симулятора.</p></sec><sec><title>Результаты исследования</title><p>Результаты исследования. В результате авторского анализа и интерпретации имеющихся источников обобщены и систематизированы данные международных и российских исследований. Проанализированы различные платформы и технические характеристики, позволяющие реализовать симулятор. Полученные в ходе анализа технические данные выявляют и обосновывают процесс создания платформы для симулятора. Представленная визуальная концепция предусматривает использование пакетов векторной и растровой графики. В качестве технической основы концепции симулятора представлен поэтапный обзор процесса проектирования платформы симулятора.</p></sec><sec><title>Обсуждение и заключения</title><p>Обсуждение и заключения. В статье представлены этапы разработки и внедрения симуляторов в профессиональную подготовку учителя. Новая цифровая образовательная среда с использованием возможностей компьютерного моделирования позволит будущим учителям овладеть профессиональными компетенциями, тренируясь на виртуальных учениках.</p></sec></abstract><trans-abstract xml:lang="en"><sec><title>Introduction</title><p>Introduction. The article discusses the positive aspects of the introduction of digital simulators of pedagogical activity into the process of professional training of teachers. The subject of the research is the most significant technical factors affecting the design of a digital simulator for professional training of mathematics teachers. Methodological approaches to simulating the process of learning to find solutions to problems are considered.</p></sec><sec><title>Materials and Methods</title><p>Materials and Methods. In the article there was conducted theoretical analysis of the complex domestic and foreign scientific sources (articles and publications on the research topic, the results of dissertational researches in pedagogics and psychology), which generalize and systematize international and Russian experience in relation to teacher training, and in terms of the characteristics of different virtual simulators. There were applied a method of theoretical generalization, content analysis, technical algorithm for using computer programs in the designing of a simulator.</p></sec><sec><title>Results</title><p>Results. As a result of the authors’ analysis and interpretation of available sources, the data of international and Russian studies are summarized and systematized. Various platforms and technical characteristics that allow implementing simulators are analyzed. The technical data obtained during the analysis allowed us to identify and justify the process of creating the simulator platform. The visual concept of a simulator, which provides for the use of vector and raster graphics packages, is presented.</p><p>Discussion and Conclusions. The article presents the stages of development and implementation of simulators in the professional training of teachers. The new digital educational environment with the use of computer modeling capabilities will allow future teachers to master professional competencies by training virtual students.</p></sec></trans-abstract><kwd-group xml:lang="ru"><kwd>цифровой симулятор</kwd><kwd>виртуальный тренажер</kwd><kwd>интерактивная инфографика</kwd><kwd>визуальная концепция</kwd><kwd>векторная графика</kwd><kwd>растровая графика</kwd><kwd>синтез трёхмерного моделирования</kwd><kwd>принцип нодового моделирования</kwd><kwd>профессиональная подготовка учителя</kwd><kwd>обучение поиску решения математических задач</kwd></kwd-group><kwd-group xml:lang="en"><kwd>digital simulator</kwd><kwd>virtual simulator</kwd><kwd>interactive infographics</kwd><kwd>visual concept</kwd><kwd>vector graphics</kwd><kwd>raster graphics</kwd><kwd>synthesis of three-dimensional modeling</kwd><kwd>the principle of node modeling</kwd><kwd>professional training of teachers</kwd><kwd>training in finding solutions to mathematical problems</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Долгополова А.Ф., Жукова В.А., Гавриленко Е.Н. 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