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<article 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" xmlns:ali="http://www.niso.org/schemas/ali/1.0/" article-type="research-article" dtd-version="1.2" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">RUDN Journal of Psychology and Pedagogics</journal-id><journal-title-group><journal-title xml:lang="en">RUDN Journal of Psychology and Pedagogics</journal-title><trans-title-group xml:lang="ru"><trans-title>Вестник Российского университета дружбы народов. Серия: Психология и педагогика</trans-title></trans-title-group></journal-title-group><issn publication-format="print">2313-1683</issn><issn publication-format="electronic">2313-1705</issn><publisher><publisher-name xml:lang="en">Peoples’ Friendship University of Russia named after Patrice Lumumba (RUDN University)</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="publisher-id">26154</article-id><article-id pub-id-type="doi">10.22363/2313-1683-2021-18-1-140-152</article-id><article-categories><subj-group subj-group-type="toc-heading" xml:lang="en"><subject>PERSONALITY IN THE MODERN EDUCATIONAL ENVIRONMENT IN RUSSIA AND IN THE WORLD</subject></subj-group><subj-group subj-group-type="toc-heading" xml:lang="ru"><subject>ЛИЧНОСТЬ В СОВРЕМЕННОЙ ОБРАЗОВАТЕЛЬНОЙ СРЕДЕ В РОССИИ И МИРЕ</subject></subj-group><subj-group subj-group-type="article-type"><subject>Research Article</subject></subj-group></article-categories><title-group><article-title xml:lang="en">Scientific and Methodological Support for Teachers in the Context of Gamification in Mathematics Study in the Russian System of Additional Education</article-title><trans-title-group xml:lang="ru"><trans-title>Научно-методическое сопровождение педагогов в контексте практической реализации геймификации математического образования в системе дополнительного образования Российской Федерации</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Dvoryatkina</surname><given-names>Svetlana N.</given-names></name><name xml:lang="ru"><surname>Дворяткина</surname><given-names>Светлана Николаевна</given-names></name></name-alternatives><bio xml:lang="en"><p>Doctor of Pedagogical Sciences, is Head of the Department of Mathematics and Teaching Methods</p></bio><bio xml:lang="ru"><p>доктор педагогических наук, доцент, заведующая кафедрой математики и методики ее преподавания</p></bio><email>sobdvor@yelets.lipetsk.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Shcherbatykh</surname><given-names>Sergey V.</given-names></name><name xml:lang="ru"><surname>Щербатых</surname><given-names>Сергей Викторович</given-names></name></name-alternatives><bio xml:lang="en"><p>Doctor of Pedagogical Sciences, Professor, is Vice Rector for Academic Affairs</p></bio><bio xml:lang="ru"><p>доктор педагогических наук, профессор, первый проректор по учебной работе</p></bio><email>shcherserg@mail.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Lopukhin</surname><given-names>Arseny M.</given-names></name><name xml:lang="ru"><surname>Лопухин</surname><given-names>Арсений Максимович</given-names></name></name-alternatives><bio xml:lang="en"><p>undergraduate student</p></bio><bio xml:lang="ru"><p>магистрант</p></bio><email>ars4044@mail.ru</email><xref ref-type="aff" rid="aff1"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en">Bunin Yelets State University</institution></aff><aff><institution xml:lang="ru">Елецкий государственный университет имени И.А. Бунина</institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2021-03-30" publication-format="electronic"><day>30</day><month>03</month><year>2021</year></pub-date><volume>18</volume><issue>1</issue><issue-title xml:lang="en">VOL 18, NO1 (2021)</issue-title><issue-title xml:lang="ru">ТОМ 18, №1 (2021)</issue-title><fpage>140</fpage><lpage>152</lpage><history><date date-type="received" iso-8601-date="2021-03-30"><day>30</day><month>03</month><year>2021</year></date></history><permissions><copyright-statement xml:lang="en">Copyright ©; 2021, Dvoryatkina S.N., Shcherbatykh S.V., Lopukhin A.M.</copyright-statement><copyright-statement xml:lang="ru">Copyright ©; 2021, Дворяткина С.Н., Щербатых С.В., Лопухин А.М.</copyright-statement><copyright-year>2021</copyright-year><copyright-holder xml:lang="en">Dvoryatkina S.N., Shcherbatykh S.V., Lopukhin A.M.</copyright-holder><copyright-holder xml:lang="ru">Дворяткина С.Н., Щербатых С.В., Лопухин А.М.</copyright-holder><ali:free_to_read xmlns:ali="http://www.niso.org/schemas/ali/1.0/"/><license><ali:license_ref xmlns:ali="http://www.niso.org/schemas/ali/1.0/">http://creativecommons.org/licenses/by/4.0</ali:license_ref></license></permissions><self-uri xlink:href="https://journals.rudn.ru/psychology-pedagogics/article/view/26154">https://journals.rudn.ru/psychology-pedagogics/article/view/26154</self-uri><abstract xml:lang="en"><p style="text-align: justify;">The relevance of this study is due to the practical significance of the issues of using game mechanisms in the process of teaching mathematics, the lack of research into the issues of symbiosis of game and didactic technologies in mastering complex mathematical knowledge, the need to search for effective technologies to establish how they affect the development of students and the formation of a modern style of thinking. The analysis of global trends and practices of introducing elements of gamification into the education system has shown that the mastering of complex knowledge and patterns of mathematical activity, the solution of “problem areas” of mathematics at different levels of learning and complexity is carried out by a complex of mathematical and information methods without the integration of game elements. It has been substantiated that gaming technologies in combination with the informatization of mathematical activity give a powerful motivational charge to the study of mathematics, actualize the processes of self-organization of cognitive activity, and contribute to the development of a probabilistic style of thinking. The purpose of the study is to provide a theoretical substantiation and effective methodological support for the process of professional development of mathematics teachers in the context of gamification in mathematics study with the effect of developing a probabilistic style of thinking. The authors have developed an arrangement mechanism and determined the content of scientific and methodological support for teachers working in the constituent entities of the Russian Federation to provide additional educational services in the context of gamification in education. The developed materials, in particular, include evaluative case tests for identifying competence deficiencies in teachers, which ensure the formation of a probabilistic style of thinking based on gamification processes by managing the information saturation of the motivational field of learning. In addition, the authors proposed an additional professional education program for teachers, Mathematics in Gaming Activities (Business, Didactic and Intellectual Games) , and developed new forms of certification and assessment materials (gamification-based didactic solutions and effective practices). Using the concept of ‘gamification’, it was possible to demonstrate the activation of cognitive and motivational structures, in particular, the effective development of a probabilistic style of thinking in the process of mastering complex mathematical knowledge through its adaptation to school mathematics. The results of the study allow making it possible to bring the process of teaching students and developing their personalities to a modern qualitative level using current achievements in the field of digitalized education.</p></abstract><trans-abstract xml:lang="ru"><p style="text-align: justify;">Актуальность исследования обусловлена практической значимостью вопросов применения игровых механизмов в процессе обучения математике, неисследованностью вопросов симбиоза игровых и дидактических технологий в освоении сложного математического знания, необходимостью поиска эффективных технологий для установления их влияния на развитие обучаемого, формирование современного стиля мышления. Проведенный анализ мировых тенденций и практик внедрения элементов геймификации в систему образования установил, что освоение сложного знания и закономерностей математической деятельности, решение «проблемных зон» математики на разных уровнях обучения и сложности осуществляется комплексом математических и информационных методов без интеграции игровых элементов. Обосновано, что игровые технологии в сочетании с информатизацией математической деятельности дают мощный мотивационный заряд к изучению математики, актуализируют процессы самоорганизации когнитивной деятельности, способствую развитию вероятностного стиля мышления. Целью исследования стало теоретическое обоснование и технологическое обеспечение эффективности методического сопровождения процесса профессионального повышения квалификации учителя математики в контексте геймификации математического образования с эффектом развития вероятностного стиля мышления. Разработан механизм организации и определено содержание научно-методического сопровождения педагогических работников для субъектов Российской Федерации по оказанию дополнительных образовательных услуг в контексте геймификации образования. В частности, разработаны оценочные материалы (кейс-тест) для выявления компетентностных дефицитов педагогов, обеспечивающих формирование вероятностного стиля мышления на основе процессов геймификации посредством управления информационной насыщенностью мотивационного поля обучения, предложена программа дополнительного профессионального образования для педагогов «Математика в игровой деятельности (деловые, дидактические и интеллектуальные игры)», разработаны новые формы аттестации и оценочные материалы (дидактические решения и эффективные практики на основе геймификации). Результаты использования концепта «геймификация» продемонстрировали активизацию когнитивных и мотивационных структур, в частности эффективное развитие вероятностного стиля мышления в процессе освоения сложного математического знания посредством его адаптации к школьной математике. Проведенное исследование позволяет вывести процесс обучения и развития личности обучаемого на современный качественный уровень с использованием актуальных достижений в области цифровизации образования.</p></trans-abstract><kwd-group xml:lang="en"><kwd>mathematics study</kwd><kwd>additional education</kwd><kwd>gamification</kwd><kwd>probabilistic style of thinking</kwd></kwd-group><kwd-group xml:lang="ru"><kwd>обучение математике</kwd><kwd>повышение квалификации</kwd><kwd>геймификация</kwd><kwd>вероятностный стиль мышления</kwd></kwd-group><funding-group><funding-statement xml:lang="en">This study was funded by the Russian Foundation for Basic Research under Research Project No. 18-313-20002.</funding-statement><funding-statement xml:lang="ru">Исследование выполнено при финансовой поддержке РФФИ в рамках научного проекта № 18-313-20002.</funding-statement></funding-group></article-meta></front><body></body><back><ref-list><ref id="B1"><label>1.</label><mixed-citation>Al-Sabaty, I., &amp; Davis, G. 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