<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.3 20210610//EN" "JATS-journalpublishing1-3.dtd">
<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">edscience</journal-id><journal-title-group><journal-title xml:lang="ru">Образование и наука</journal-title><trans-title-group xml:lang="en"><trans-title>The Education and science journal</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1994-5639</issn><issn pub-type="epub">2310-5828</issn><publisher><publisher-name>RSVPU</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.17853/1994-5639-2021-3-11-34</article-id><article-id custom-type="elpub" pub-id-type="custom">edscience-2051</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>ПРОБЛЕМЫ МЕТОДОЛОГИИ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>METHODOLOGY PROBLEMS</subject></subj-group></article-categories><title-group><article-title>Роль математики в трансдисциплинарности содержания современного образования</article-title><trans-title-group xml:lang="en"><trans-title>The role of mathematics in transdisciplinarity content of modern education</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-3573-574X</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Тестов</surname><given-names>В. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Testov</surname><given-names>V. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Тестов Владимир Афанасьевич - доктор педагогических наук, профессор кафедры математики.Вологда.Researcher ID A-5900-2016Scopus ID 57203921177</p></bio><bio xml:lang="en"><p>Vladimir A. Testov - Dr. Sci. (Education), Professor, Department of Mathematics, Vologda State University.Vologda.Researcher ID A-5900-2016Scopus ID 57203921177</p></bio><email xlink:type="simple">vladafan@inbox.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/0000-0002-8807-2476</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Перминов</surname><given-names>Е. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Perminov</surname><given-names>E. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Перминов Евгений Александрович - доктор педагогических наук, доцент, профессор кафедры математических и естественно-научных дисциплин.Екатеринбург.</p></bio><bio xml:lang="en"><p>Evgeniy A. Perminov - Dr. Sci. (Education), Associate Professor, Professor of Department of Mathematical and Natural-Science Disciplines, Russian State Vocational Pedagogical University.Ekaterinburg.</p></bio><email xlink:type="simple">perminov_ea@mail.ru</email><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Вологодский государственный университет</institution></aff><aff xml:lang="en"><institution>Vologda State University</institution></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Российский государственный профессионально-педагогический университет</institution></aff><aff xml:lang="en"><institution>Russian State Vocational Pedagogical University</institution></aff></aff-alternatives><pub-date pub-type="collection"><year>2021</year></pub-date><pub-date pub-type="epub"><day>17</day><month>03</month><year>2021</year></pub-date><volume>23</volume><issue>3</issue><fpage>11</fpage><lpage>34</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Тестов В.А., Перминов Е.А., 2021</copyright-statement><copyright-year>2021</copyright-year><copyright-holder xml:lang="ru">Тестов В.А., Перминов Е.А.</copyright-holder><copyright-holder xml:lang="en">Testov V.A., Perminov E.A.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" 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.edscience.ru/jour/article/view/2051">https://www.edscience.ru/jour/article/view/2051</self-uri><abstract><p>Введение. В модернизации современного образования преобладающей тенденцией становится более глубокий (по сравнению с междисциплинарным) трансдисциплинарный уровень познания, порождающий универсальную методологию, способную решать сложные многофакторные междисциплинарные проблемы природы и общества. Появляются трансдисциплинарные научные области, такие как кибернетика, теория катастроф, синергетика, искусственный интеллект, большие данные и др. Все эти концепции были разработаны на основе достижений математики за последние 70-80 лет, эпоху математизации наук. В результате эта наука стала основой языка информационных технологий и процессов и тем самым породила глобальную цифровую трансформацию общества на основе использования уникальных возможностей компьютера.Цель статьи - исследовать роль математики в трансдисциплинарной тенденции в обновлении содержания образования с целью вывода образования на более высокий (по сравнению с междисциплинарностью) уровень на основе включения в содержание обучения современных математических теорий и методов и их применений в зависимости от направления и профиля подготовки студентов в вузах.Методология и методики. В исследовании использовались системный, культурологический и метапредметный подходы в ходе анализа роли математики в образовании при решении междисциплинарных проблем модернизации содержания образования (на основе наиболее ярких проявлений современной математической культуры). В результате синтеза этих подходов возникает целостное научное мировоззрение, не только выходящее за рамки традиционных дисциплин и методов, но и находящееся над ними.Результаты и научная новизна. Проведен анализ трансдисциплинарной тенденции в постиндустриальном образовании. Исследованы математико-педагогические аспекты реализации системного, культурологического и метапредметного подходов в выводе образования на более высокий уровень. При этом обосновано использование в обучении математического моделирования, дискретной математики, вычислительных процессов и искусственного интеллекта для формирования у студентов нового, наддисциплинарного способа мышления, овладения общекультурной когнитивной стратегией в решении профессиональных и транспрофессиональных задач.Практическая значимость. Материалы статьи вносят вклад в реализацию трансдисциплинарной тенденции в содержании подготовки студентов и будут интересны как теоретикам образования, так и преподавателям, ведущим профессиональную подготовку студентов многих направлений, и всем, кто заинтересован в благополучном будущем системы образования.</p></abstract><trans-abstract xml:lang="en"><sec><title>Introduction</title><p>Introduction. In the context of modernisation in modern education, a deeper (by contrast to interdisciplinary) transdisciplinary level of cognition is becoming prevalent. Transdisciplinary level generates a universal methodology capable of addressing the complex multi-factorial interdisciplinary problems of nature and society. The result is transdisciplinary branches of science such as cybernetics, disaster theory, synergetics, artificial intelligence, big data, etc. All these concepts have been developed on the basis of the achievements of mathematics over the past 70-80 years, the era of mathematical sciences. As a consequence, mathematics has become the basis of the language of information technologies and processes, and, thereby, this science has given rise to a global digital transformation of society based on the use of the unique computer capabilities.The aim of the present research was to explore the role of mathematics in the transdisciplinary trend in updating the content of education with a view to bringing education to a higher (by contrast to interdisciplinary) level, based on the inclusion of modern mathematical theories and methods in the content of education and their applications depending on the direction and profile of the student training.Methodology and research methods. In the course of research, the systemic, cultural, and meta-subject approaches were employed to analyse the role of mathematics in education and to solve the transdisciplinary problems of education content modernisation (based on the most striking manifestations of modern mathematical culture). As a result of the synthesis of these approaches, a holistic scientific worldview emerges, which not only goes beyond the traditional disciplines and methods, but also appears above them.Results and scientific novelty. The analysis of transdisciplinary trend in postindustrial education was carried out. Mathematical and pedagogical aspects of the implementation of systemic, cultural and meta-subject approaches were investigated in order to achieve a higher level of educational process. At the same time, the authors justified the use of mathematical modelling, discrete mathematics, computational processes and artificial intelligence in the training, i.e. formation of a new superdisciplinary way of thinking in students, acquisition of a general cultural cognitive strategy to perform professional and transprofessional tasks.Practical importance. The findings of the current publication contribute to the realisation of the transdisciplinary trend in the content of student training, and will be of interest to both educational theorists and teachers, who train students in many fields. Moreover, this work will be useful for all those interested in the future advancement of the system of education.</p></sec><sec><title> </title><p> </p></sec></trans-abstract><kwd-group xml:lang="ru"><kwd>междисциплинарность образования</kwd><kwd>обновление содержания</kwd><kwd>методология моделирования</kwd><kwd>искусственный интеллект</kwd><kwd>большие данные</kwd></kwd-group><kwd-group xml:lang="en"><kwd>interdisciplinary education</kwd><kwd>content updating</kwd><kwd>modelling methodology</kwd><kwd>artificial intelligence</kwd><kwd>big data</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">Авторы благодарят анонимных рецензентов, ознакомившихся со статьей и сделавших ценные замечания, позволившие улучшить ее качество.</funding-statement><funding-statement xml:lang="en">The authors thank the anonymous reviewers for their careful reading of the article and their insightful comments, which significantly helped improve its quality.</funding-statement></funding-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Floridi L. The Fourth Revolution. How the Infosphere is Reshaping Human Reality. Oxford: Oxford University Press. 2014. 272 p.</mixed-citation><mixed-citation xml:lang="en">Floridi L. The fourth revolution. How the infosphere is reshaping human reality. Oxford: Oxford University Press; 2014. 272 p.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Загвязинский В. И. Стратегические ориентиры развития современного образования и пути их реализации // Образование и наука. 2012. № 4 (93). C. 3-15.</mixed-citation><mixed-citation xml:lang="en">Zagvyazinskiy V. I. Strategic guidelines for the development of modern education and ways of their implementation. Obrazovanie i nauka = The Education and Science Journal. 2012; 4 (93): 3-15. (In Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Сенашенко В. С. Междисциплинарность образования как отражение междисциплинарности окружающего мира на любых уровнях его организации // Управление устойчивым развитием. 2016. № 3 (04). С. 79-85.</mixed-citation><mixed-citation xml:lang="en">Senashenko V. S. Interdisciplinarity of education as a reflection of the interdisciplinarity of the surrounding world at all levels of its organization. Upravlenie ustojchivym razvitiem = Sustainable Development Management. 2016; 3: 79-85. (In Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Иванов В. Г., Кайбияйнен А. А., Галиханов М. Ф. Междисциплинарность как вектор развития инженерного образования (обзор сетевой конференции) // Высшее образование в России. 2016. № 8-9. С. 149-160.</mixed-citation><mixed-citation xml:lang="en">Ivanov V. G., Kaybiyaynen A. A., Galikhanov M. F. Interdisciplinarity as a vector of engineering education development (review of the network conference). Vysshee obrazovanie v Rossii = Higher Education in Russia. 2016; 8-9: 149-160. (In Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Tejedor G., Segalas J., Rosas-Casals M. Transdisciplinarity in higher education for sustainability: How discourses are approached in engineering education. // Journal of Cleaner Production. 2018. Vol. 175. P. 29-37. DOI: 10.1016/j.jclepro.2017.11.085</mixed-citation><mixed-citation xml:lang="en">Tejedor G., Segalas J., Rosas-Casals M. Transdisciplinarity in higher education for sustainability: How discourses are approached in engineering education. Journal of Cleaner Production. 2018; 175: 29-37. DOI: 10.1016/j.jclepro.2017.11.085</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Golubev O. B., Testov V. A., Ganicheva E. M. On the Continuity of Engineering Training in the “School-University” System Based on the Creation of a Center of Modern Competencies // Proceedings of the International Scientific Conference “Far East Con” (ISCFEC 2020). Series: Advances in Economics, Business and Management Research. Vol. 128. DOI: 10.2991/aeb-mr.k.200312.335</mixed-citation><mixed-citation xml:lang="en">Golubev O. B., Testov V. A., Ganicheva E. M. On the continuity of engineering training in the “school-university” system based on the creation of a center of modern competencies. In: Proceedings of the International Scientific Conference “Far East Con”. Series: Advances in Economics, Business and Management Research. ISCFEC. 2020. p. 128. DOI: 10.2991/aebmr.k.200312.335</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Scholz R. W., Steiner G., Transdisciplinarity at the crossroads // Sustainability Science. 2015. Vol. 10, No. 4. P. 521-526.</mixed-citation><mixed-citation xml:lang="en">Scholz R. W., Steiner G., Transdisciplinarity at the crossroads. Sustainability Science. 2015; 10 (4): 521-526.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Колесников А. В., Сиренко С. Н. Междисциплинарность, синергетика и грядущий новый этап научно-технической революции как предпосылки обновления содержания высшего образования // Научные труды Республиканского института высшей школы. Минск. 2016. № 16-2. С. 344-351.</mixed-citation><mixed-citation xml:lang="en">Kolesnikov A. V., Sirenko S. N. Interdisciplinary, synergistic and forthcoming new stage of scientific and technical revolution as prerequisites for updating the content of higher education. Nauchnye trudy Respublikanskogo instituta vysshej shkoly = Scientific Works of National Institute for Higher Education. Minsk. 2016; 16 (2): 344-351. (In Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Gapontsev V. L., Fedorov V. А., Gapontseva M. G., Khuziakhmetov A. N. Description Language of Educational Content Structure: Possibilities of Modern Mathematics // EURASIA Journal of Mathematics, Science and Technology Education. 2019. Vol. 15, № 3. Article number em1678. DOI: 10.29333/ejmste/103031</mixed-citation><mixed-citation xml:lang="en">Gapontsev V. L., Fedorov V. А., Gapontseva M. G., Khuziakhmetov A. N. Description language of educational content structure: Possibilities of modern mathematics. EURASIA Journal of Mathematics, Science and Technology Education. 2019; 15 (3): em1678. DOI: https://doi.org/10.29333/ejmste/103031</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Перминов Е. А., Тестов В. А. Методология моделирования как основа реализации междисциплинарного подхода в подготовке студентов педагогических направлений // Образование и наука. 2020. Т. 22, № 6. С. 9-30. DOI: 10.17853/1994-5639-2020-6-9-30</mixed-citation><mixed-citation xml:lang="en">Perminov Ye. A., Testov V. A. Modelling methodology as the basis for implementation of an interdisciplinary approach in the training of students of pedagogical directions. Obrazovaniye i nauka = The Education and Science Journal. 2020; 22 (6): 9-30. DOI: 10.17853/19945639-2020-6-9-30 (In Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Klein J. T., Haberli R., Scholz R. W., Grossenbacher-Mansuy W., Bill A., Welti M. The Discourse of Transdisciplinarity: An Expanding Global Field // Transdisciplinarity: Joint Problem Solving among Science, Technology, and Society. Birkhauser, Basel, 2001. P. 35-44.</mixed-citation><mixed-citation xml:lang="en">Klein J. T., Haberli R., Scholz R. W., Grossenbacher-Mansuy W., Bill A., Welti M. The discourse of transdisciplinarity: An expanding global field. In: Transdisciplinarity: Joint problem solving among science, technology, and society. Birkhauser, Basel; 2001. p. 35-44.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Гаранина О. Д. Развитие трансдисциплинарной методологии: ответ на вызовы интеграции современного научного познания // Тенденции развития науки и образования. 2018. Т. 40. Ч. 1. С. 5-7. DOI: 10.18411/lj-07-2018-01</mixed-citation><mixed-citation xml:lang="en">Garanina O. D. Development of transdisciplinary methodology: Response to challenges of integration of modern scientific knowledge. Tendencii razvitiya nauki i obrazovaniya = Trends in the Development of Science and Education. 2018; 40 (1): 5-7. DOI: 10.18411/lj-07-2018-01 (In Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Piaget J. L'epistemologie des relations interdisciplinaires // In: L. Apostel, G. Berger, A. Briggs, G. Michaud (Eds.). L'interdisciplinarite - Problemes d'enseignement et de recherche. Centre pour la Recherche et l'Innovation dans l'Enseignement. Paris: Organisation de Cooperation et de developpement economique, 1972. P. 131-144.</mixed-citation><mixed-citation xml:lang="en">Piaget J. L'epistemologie des relations interdisciplinaires. In: L. Apostel, G. Berger, A. Briggs, G. Michaud (eds.). L'interdisciplinarite - Problemes d'enseignement et de recherche. Centre pour la Recherche et l'Innovation dans l'Enseignement. Paris: Organisation de Cooperation et de developpement economique; 1972. p. 131-144. (In French)</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Крушанов А. А. «Трансдисциплинарная» тенденция в современном научном познании // Тенденции развития науки и образования. 2018. Т. 42. Ч. 5. С. 77-80. DOI: 10.18411/lj-09-2018-106</mixed-citation><mixed-citation xml:lang="en">Krushanov A. A. “Transdisciplinary” trend in modern scientific knowledge. Tendencii razvitiya nauki i obrazovaniya = Trends in the Development of Science and Education. 2018; 42 (5): 77-80. DOI: 10.18411/lj-09-2018-106 (In Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Мокий М. С., Мокий В. С. Трансдисциплинарность в высшем образовании: экспертные оценки и практические решения [Электрон. ресурс] // Современные проблемы науки и образования. 2014. № 5. Режим доступа: http://www.science-education.ru/ru/article/view?id=14526 (дата обращения: 02.07.2020).</mixed-citation><mixed-citation xml:lang="en">Mokiy M. S., Mokiy V. S. Transdisciplinarity in higher education: Expert assessments and practical solutions. Sovremennyye problemy nauki i obrazovaniya = Modern Problems of Science and Education [Internet]. 2014 [cited 2020 Jul 02]; 5. Available from: http://www.science-education.ru/ru/article/view?id=14526 (In Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Alvargonzales D. Multidisciplinarity, Interdisciplinarity, Transdisciplinarity and Sciences // International Studies in the Philosophy of Science. Vol. 25, № 4. P. 387-403.</mixed-citation><mixed-citation xml:lang="en">Alvargonzales D. Multidisciplinarity, interdisciplinarity, transdisciplinarity and sciences. International Studies in the Philosophy of Science. 2011; 25 (4): 387-403.</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Девисилов В. А. Синергизм и трансдисциплинарность в образовании // Alma mater (Вестник высшей школы). 2013. № 2. С. 95-101.</mixed-citation><mixed-citation xml:lang="en">Devisilov V. A. Synergy and transdisciplinarity in education. Alma mater (Vestnik vysshey shkoly) = Alma mater (Higher School Herald). 2013; 2: 95-101. (In Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Крушанов А. А. Пора упорядочить «трансдисциплинарный хаос» // История и философия науки в эпоху перемен: сборник научных статей. Москва: Изд-во «Русское общество истории и философии науки», 2018. С. 83-86.</mixed-citation><mixed-citation xml:lang="en">Krushanov A. A. Pora uporjadochit' “transdisciplinarnyj haos” = It's time to order the “transdisciplinary chaos”. In: Istoriya i filosofiya nauki v yepokhu peremen = History and philosophy of science in an era of change. Moscow: Russian Society of History and Philosophy of Science; 2018. p. 83-86. (In Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Frodeman R., Klein J. T., Mitcham C. The Oxford handbook of interdisciplinarity. New York: Oxford, 2010. 580 p.</mixed-citation><mixed-citation xml:lang="en">Frodeman R., Klein J. T., Mitcham C. The Oxford handbook of interdisciplinarity. New York: Oxford; 2010. 580 p.</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Ganicheva Ye., Golubev O., Testov V., Khabibulin A. Digital literacy is a necessary factor of modern education // Proceedings of the International Scientific-Practical Conference “Business Cooperation as a Resource of Sustainable Economic Development and Investment Attraction” (ISPCBC 2019). Pskov, 2019. P. 298-302. DOI: 10.2991/ispcbc-19.2019.73</mixed-citation><mixed-citation xml:lang="en">Ganicheva Ye., Golubev O., Testov V., Khabibulin A. Digital literacy is a necessary factor of modern education. In: Proceedings of the International Scientific-Practical Conference “Business Cooperation as a Resource of Sustainable Economic Development and Investment Attraction” (ISPCBC 2019). Pskov; 2019. p. 298-302. DOI: 10.2991/ispcbc-19.2019.73</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">Kizito M. Transdisciplinarity and Information Systems: IT Governance in the Digitalisation of Healthcare // Proceedings of the IS4SI 2017 Summit Digitalisation for a Sustainable Society. Gothenburg, Sweden, 2017. Vol. 1, № 3. P. 175. DOI: 10.3390/IS4SI-2017-04015</mixed-citation><mixed-citation xml:lang="en">Kizito M. Transdisciplinarity and information systems: IT governance in the digitalisation of healthcare. In: Proceedings of the IS4SI 2017 Summit Digitalisation for a Sustainable Society, Gothenburg, Sweden. 2017; 1 (3): 175. DOI: 10.3390/IS4SI-2017-04015</mixed-citation></citation-alternatives></ref><ref id="cit22"><label>22</label><citation-alternatives><mixed-citation xml:lang="ru">Князева Е. Н. Трансдисциплинарные стратегии исследований // Вестник Томского государственного педагогического университета. 2011. № 10. С. 193-201.</mixed-citation><mixed-citation xml:lang="en">Knyazeva Ye. N. Transdisciplinary research strategies. Vestnik Tomskogo gosudarst-vennogo pedagogicheskogo universiteta = Tomsk State Pedagogical University Bulletin. 2011; 10: 193-201. (In Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit23"><label>23</label><citation-alternatives><mixed-citation xml:lang="ru">Pohl C., Krutli P., Stauffacher M., Modolo L. Teaching transdisciplinarity appropriately for students' education level // GAIA - Ecological Perspectives for Science and Society. 2018. Vol. 27, № 2. P. 250-252. DOI: 10.14512/gaia.27.2.14</mixed-citation><mixed-citation xml:lang="en">Pohl C., Krutli P., Stauffacher M., Modolo L. Teaching transdisciplinarity appropriately for students' education level. GAIA - Ecological Perspectives for Science and Society. 2018; 27 (2): 250-252. DOI: 10.14512/gaia.27.2.14</mixed-citation></citation-alternatives></ref><ref id="cit24"><label>24</label><citation-alternatives><mixed-citation xml:lang="ru">Tejedor G., Segalas J., Rosas-Casals M. Transdisciplinarity in higher education for sustainability: How discourses are approached in engineering education // Journal of Cleaner Production. 2018. Vol. 175. P. 29-37. DOI: 10.1016/j.jclepro.2017.11.085</mixed-citation><mixed-citation xml:lang="en">Tejedor G., Segalas J., Rosas-Casals M. Transdisciplinarity in higher education for sustainability: How discourses are approached in engineering education. Journal of Cleaner Production. 2018; 175: 29-37. DOI: 10.1016/j.jclepro.2017.11.085</mixed-citation></citation-alternatives></ref><ref id="cit25"><label>25</label><citation-alternatives><mixed-citation xml:lang="ru">Kabronska J. Contemporary Spaces of Memory - Towards Transdisciplinarity in Architecture // IOP Conference Series: Materials Science and Engineering. 2017. Vol. 245. Article number 042034.</mixed-citation><mixed-citation xml:lang="en">Kabronska J. Contemporary spaces of memory - towards transdisciplinarity in architecture. In: IOP Conference Series: Materials Science and Engineering. 2017; 245: 042034.</mixed-citation></citation-alternatives></ref><ref id="cit26"><label>26</label><citation-alternatives><mixed-citation xml:lang="ru">Brink E., Wamsler C., Adolfsson M., et al. On the road to “research municipalities”: analysing transdisciplinarity in municipal ecosystem services and adaptation planning // Sustainability Science. 2018. Vol. 13, № 3. P. 765-784.</mixed-citation><mixed-citation xml:lang="en">Brink E., Wamsler C., Adolfsson M., et al. On the road to “research municipalities”: analysing transdisciplinarity in municipal ecosystem services and adaptation planning. Sustainability Science. 2018; 13 (3): 765-784.</mixed-citation></citation-alternatives></ref><ref id="cit27"><label>27</label><citation-alternatives><mixed-citation xml:lang="ru">Андреев В. В., Гибадулин Р. Я., Жданов Р. И. Формирование трансдисциплинар -ного подхода к научной и педагогической деятельности как основная миссия Института перспективных исследований // Преподаватель XXI век. 2019. № 2-1. С. 9-22.</mixed-citation><mixed-citation xml:lang="en">Andreyev V. V., Gibadulin R. Ya., Zhdanov R. I. Formation of a transdisciplinary approach to scientific and pedagogical activity as the main mission of the Institute for Advanced Studies. Prepodavatel' XXI vek = Teacher of the XXI Century. 2019; 2 (1): 9-22. (In Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit28"><label>28</label><citation-alternatives><mixed-citation xml:lang="ru">Перминов Е. А. О роли математизации наук в интеграции математической и методической подготовки будущих учителей // Интеграция образования. 2013. № 1. С. 29-35.</mixed-citation><mixed-citation xml:lang="en">Perminov Ye. A. On the role of mathematical sciences in the integration of mathematical and methodological training of future teachers. Integratsiya obrazovaniya = Integration of Education. 2013; 1: 29-35. (In Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit29"><label>29</label><citation-alternatives><mixed-citation xml:lang="ru">Perminov E. A., Anakhov S. V., Grishin A. S., Savitskiy E. S. On the Research of the Methodology of Mathematization of Pedagogical Science // International Journal of environmental &amp; science education. 2016. Vol. 11, № 16. P. 9339-9347.</mixed-citation><mixed-citation xml:lang="en">Perminov Ye. A., Anakhov S. V., Grishin A. S., Savitskiy E. S. On the research of the methodology of mathematization of pedagogical science. International Journal of Environmental &amp; Science Education. 2016; 11 (16): 9339-9347. (In Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit30"><label>30</label><citation-alternatives><mixed-citation xml:lang="ru">Тестов В. А. О некоторых видах метапредметных результатов обучения математике // Образование и наука. 2016. № 1. С. 4-20. DOI: 10.17853/1994-5639-2016-1-4-20</mixed-citation><mixed-citation xml:lang="en">Testov V. A. Some types of metasubject results when teaching mathematics. Obrazovanie i nauka = The Education and Science Journal. 2016; (1): 4-20. DOI: 10.17853/19945639-2016-1-4-20 (In Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit31"><label>31</label><citation-alternatives><mixed-citation xml:lang="ru">Перминов Е. А. Культурологический подход как методологическая основа математического просвещения // Образование и наука. 2017. Т. 19, № 10. С. 9-29. DOI: 10.17853/1994-5683-2017-10-9-29</mixed-citation><mixed-citation xml:lang="en">Perminov Ye. A. Culturological approach as methodological basis of mathematical education. Obrazovanie i nauka = The Education and Science Journal. 2017; 19 (10): 9-29. DOI: 10.17853/1994-5683-2017-10-9-29 (In Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit32"><label>32</label><citation-alternatives><mixed-citation xml:lang="ru">Хуторской А. В. Метапредметное содержание образования с позиций человекосообразности [Электрон. ресурс] // Вестник Института образования человека. 2012. № 1. Режим доступа: https://eidos-institute.ru/journal/2012/100/Eidos-Vestnik2012-115-Khutorskoy.pdf (дата обращения: 02.07.2020).</mixed-citation><mixed-citation xml:lang="en">Khutorskoy A. V. Meta-subject content of education from the point of view of human character. Vestnik Instituta obrazovaniya cheloveka = Bulletin of Institute of Human Education [Internet]. 2012 [cited 2020 Jul 02]; 1. Available from: https://eidos-institute.ru/journal/2012/100 (In Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit33"><label>33</label><citation-alternatives><mixed-citation xml:lang="ru">Чернякова И. С. О возможностях и границах цифровизации гуманитарного образования // Архитектура университетского образования: современные университеты в условиях единого информационного пространства: сборник трудов III Национальной научно-методической конференции с международным участием. Часть I. Санкт-Петербург: Изд-во СПбГЭУ, 2019. С. 60-63.</mixed-citation><mixed-citation xml:lang="en">Chernyakova I. S. Opportunities and limits of digitalization of humanitarian education. In: Arkhitektura universitetskogo obrazovaniya: sovremennyye universitety v usloviyakh yedinogo informacionnogo prostranstva: sbornik trudov III Natsional'noy nauchno-metodicheskoy konferentsii s mezhdunarodnym uchastiyem. Chast I = The Architecture of University Education: Modern Universities in a Single Information Space. Proceedings of the III National Scientific and Methodological Conference with International Participation. Part 1. St. Petersburg: Publishing House Saint Petersburg University of Economics; 2019. p. 60-63. (In Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit34"><label>34</label><citation-alternatives><mixed-citation xml:lang="ru">Красовский Н. Н. Размышления о математическом образовании // Известия УрГУ. 2003. № 27. С. 5-12.</mixed-citation><mixed-citation xml:lang="en">Krasovskiy N. N. Reflections on mathematical education. Izvestiya UrGU = Proceedings of Ural State University. 2003; 27: 5-12. (In Russ.)</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
