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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">Vestnik of Samara State Technical University Psychological and Pedagogical Sciences</journal-id><journal-title-group><journal-title xml:lang="en">Vestnik of Samara State Technical University Psychological and Pedagogical Sciences</journal-title><trans-title-group xml:lang="ru"><trans-title>Вестник Самарского государственного технического университета. Серия: Психолого-педагогические науки</trans-title></trans-title-group></journal-title-group><issn publication-format="print">1991-8569</issn><issn publication-format="electronic">2712-892X</issn><publisher><publisher-name xml:lang="en">Samara State Technical University</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="publisher-id">695536</article-id><article-id pub-id-type="doi">10.17673/vsgtu-pps.2026.1.4</article-id><article-categories><subj-group subj-group-type="toc-heading" xml:lang="en"><subject>Theory and methodology of education</subject></subj-group><subj-group subj-group-type="toc-heading" xml:lang="ru"><subject>Теория и методология образования</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">Engineering professionalization of school students through mathematics education</article-title><trans-title-group xml:lang="ru"><trans-title>Инженерная профессионализация школьников средствами математической подготовки</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0009-0007-4367-0978</contrib-id><name-alternatives><name xml:lang="en"><surname>Gumerova</surname><given-names>Elena I.</given-names></name><name xml:lang="ru"><surname>Гумерова</surname><given-names>Елена Игоревна</given-names></name></name-alternatives><address><country country="RU">Russian Federation</country></address><bio xml:lang="en"><p>Assistant at the Department of Engineering Mathematics</p></bio><bio xml:lang="ru"><p>ассистент кафедры «Инженерная математика»</p></bio><email>elena.gumerova30@gmail.com</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-8370-7970</contrib-id><contrib-id contrib-id-type="scopus">57205328429</contrib-id><name-alternatives><name xml:lang="en"><surname>Vainshtein</surname><given-names>Yulia V.</given-names></name><name xml:lang="ru"><surname>Вайнштейн</surname><given-names>Юлия Владимировна</given-names></name></name-alternatives><address><country country="RU">Russian Federation</country></address><bio xml:lang="en"><p>Doc. Ped. Sci., Professor at the Department of Applied Mathematics and Data Analysis</p></bio><bio xml:lang="ru"><p>доктор педагогических наук, профессор кафедры «Прикладная математика и анализ данных»</p></bio><email>yweinstein@sfu-kras.ru</email><xref ref-type="aff" rid="aff2"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en">Novosibirsk State Technical University</institution></aff><aff><institution xml:lang="ru">Новосибирский государственный технический университет</institution></aff></aff-alternatives><aff-alternatives id="aff2"><aff><institution xml:lang="en">Siberian Federal University</institution></aff><aff><institution xml:lang="ru">Сибирский федеральный университет</institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2026-04-09" publication-format="electronic"><day>09</day><month>04</month><year>2026</year></pub-date><volume>23</volume><issue>1</issue><issue-title xml:lang="en"/><issue-title xml:lang="ru"/><fpage>48</fpage><lpage>63</lpage><history><date date-type="received" iso-8601-date="2025-10-30"><day>30</day><month>10</month><year>2025</year></date><date date-type="accepted" iso-8601-date="2026-03-13"><day>13</day><month>03</month><year>2026</year></date></history><permissions><copyright-statement xml:lang="en">Copyright ©; 2026, Gumerova E.I., Vainshtein Y.V.</copyright-statement><copyright-statement xml:lang="ru">Copyright ©; 2026, Гумерова Е.И., Вайнштейн Ю.В.</copyright-statement><copyright-year>2026</copyright-year><copyright-holder xml:lang="en">Gumerova E.I., Vainshtein Y.V.</copyright-holder><copyright-holder xml:lang="ru">Гумерова Е.И., Вайнштейн Ю.В.</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/">https://creativecommons.org/licenses/by/4.0</ali:license_ref></license></permissions><self-uri xlink:href="https://vestnik-pp.samgtu.ru/1991-8569/article/view/695536">https://vestnik-pp.samgtu.ru/1991-8569/article/view/695536</self-uri><abstract xml:lang="en"><p>The contemporary development of the Russian economy, oriented toward technological independence and innovative growth, has necessitated the training of engineering personnel and increased attention to the early engineering professionalization of school students. Engineering professionalization is understood as the purposeful involvement of learners in types of activity that model engineering practices, which requires updating the content of general education and strengthening its practice-oriented character. A special role in this process belongs to mathematical education, as it ensures the development of analytical and engineering thinking, modeling skills, and digital design competencies. The aim of the study is to identify the role of mathematics as a pedagogical tool for implementing the engineering professionalization of school students and to formulate the principles of engineering professionalization of school students through mathematics. The research methods included analysis of psychological, pedagogical, and methodological literature; examination of regulatory and legal documents; content analysis of scientific publications; comparative and analytical methods; modeling; and generalization of pedagogical experience. The results of the study made it possible to systematize the directions of engineering professionalization, to identify a contradiction between regulatory requirements and the methodological support of the process, and to determine patterns in its development. Based on the analysis, ten principles of engineering professionalization of school students through mathematics were formulated, reflecting the pedagogical and subject-methodological specificity of the phenomenon. Mathematical education is shown to be a system-forming factor of engineering professionalization, integrating cognitive, activity-based, and value-oriented aspects of preparing school students for engineering activity. The practical significance of the study lies in the possibility of applying the formulated principles in the design of engineering-mathematical class programs and specialized courses.</p></abstract><trans-abstract xml:lang="ru"><p>Современное развитие российской экономики, ориентированной на технологическую независимость и инновационный рост, обусловило необходимость подготовки инженерных кадров и усиления внимания к ранней инженерной профессионализации школьников. Инженерная профессионализация рассматривается как целенаправленное включение обучающихся в виды деятельности, моделирующие инженерные практики, что требует обновления содержания общего образования и усиления его практико-ориентированного характера. Особая роль в этом процессе принадлежит математической подготовке, которая обеспечивает развитие аналитического и инженерного мышления, навыков моделирования и цифрового проектирования. Цель исследования – выявить роль математики как педагогического средства реализации инженерной профессионализации школьников и сформулировать принципы инженерной профессионализации школьников средствами математики.Методы исследования включали анализ психолого-педагогической и методической литературы, изучение нормативно-правовых документов, контент-анализ научных публикаций, сравнительно-аналитический метод, моделирование и обобщение педагогического опыта. Результаты исследования позволили систематизировать направления инженерной профессионализации, выявить противоречие между нормативными требованиями и методической обеспеченностью процесса, а также определить закономерности его развития. На основе анализа сформулированы десять принципов инженерной профессионализации школьников средствами математики, отражающих педагогическую и предметно-методическую специфику явления. Математическое образование показано как системообразующий фактор инженерной профессионализации, объединяющий когнитивный, деятельностный и ценностный аспекты подготовки школьников к инженерной деятельности. Практическая значимость исследования заключается в возможности применения полученных принципов при проектировании программ инженерно-математических классов и профильных курсов.</p></trans-abstract><kwd-group xml:lang="en"><kwd>engineering professionalization of school students</kwd><kwd>mathematics education</kwd><kwd>engineering thinking</kwd><kwd>STEM education</kwd><kwd>project-based learning</kwd><kwd>digitalization</kwd><kwd>mathematical modeling</kwd></kwd-group><kwd-group xml:lang="ru"><kwd>инженерная профессионализация школьников</kwd><kwd>математическое образование</kwd><kwd>инженерное мышление</kwd><kwd>STEM-обучение</kwd><kwd>проектная деятельность</kwd><kwd>цифровизация</kwd><kwd>математическое моделирование</kwd></kwd-group><funding-group/></article-meta></front><body></body><back><ref-list><ref id="B1"><label>1.</label><citation-alternatives><mixed-citation xml:lang="en">Goos M., Susana C., Immaculate K.N. 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