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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">vdgtu</journal-id><journal-title-group><journal-title xml:lang="ru">Вестник Дагестанского государственного технического университета. Технические науки</journal-title><trans-title-group xml:lang="en"><trans-title>Herald of Dagestan State Technical University. Technical Sciences</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2073-6185</issn><issn pub-type="epub">2542-095X</issn><publisher><publisher-name>Daghestan State Technical University</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.21822/2073-6185-2026-53-1-73-85</article-id><article-id custom-type="elpub" pub-id-type="custom">vdgtu-2003</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>ИНФОРМАЦИОННЫЕ ТЕХНОЛОГИИ И ТЕЛЕКОММУНИКАЦИИ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>INFORMATION TECHNOLOGY AND TELECOMMUNICATIONS</subject></subj-group></article-categories><title-group><article-title>Математическая реинженерия ИТ-систем в обучении системному программированию: модель оценки инженерной зрелости студенческого проекта</article-title><trans-title-group xml:lang="en"><trans-title>Mathematical Reengineering of IT Systems in System Programming Education: The Model for Assessing the Engineering Maturity of a Student Project</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-2970-594X</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Исабекова</surname><given-names>Т. И.</given-names></name><name name-style="western" xml:lang="en"><surname>Isabekova</surname><given-names>T. I.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Исабекова Тамила Илахидиновна, кандидат физико-математических наук, доцент, заведующий кафедрой прикладной математики и информатики, </p><p>367015, г. Махачкала, просп. Имама Шамиля, 70</p></bio><bio xml:lang="en"><p>Tamila I. Isabekova, Cand. Sci.(Physical and Mathematical), Assoc. Prof., Head of the Department of Applied Mathematics and Informatics,</p><p>70 Imam Shamil Ave., Makhachkala 367015</p></bio><email xlink:type="simple">mila775@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Дагестанский государственный технический университет</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Daghestan State Technical University</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2026</year></pub-date><pub-date pub-type="epub"><day>30</day><month>04</month><year>2026</year></pub-date><volume>53</volume><issue>1</issue><fpage>73</fpage><lpage>85</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Исабекова Т.И., 2026</copyright-statement><copyright-year>2026</copyright-year><copyright-holder xml:lang="ru">Исабекова Т.И.</copyright-holder><copyright-holder xml:lang="en">Isabekova T.I.</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://vestnik.dgtu.ru/jour/article/view/2003">https://vestnik.dgtu.ru/jour/article/view/2003</self-uri><abstract><sec><title>Цель</title><p>Цель. Целью исследования является теоретическое обоснование, разработка и экспериментальная проверка модели оценки инженерной зрелости студенческого проекта, интегрирующей измерение производительности, моделирование системы и обоснованное улучшение решения.</p></sec><sec><title>Метод</title><p>Метод. Применен теоретический анализ педагогических и инженерных подходов; моделирование индекса инженерной зрелости; квазиэксперимент с парным сравнением; статистический анализ (критерий Уилкоксона, эффект размера Клиффа); валидация инструмента через экспертную оценку.</p></sec><sec><title>Результат</title><p>Результат. Теоретически обоснован и эмпирически подтверждён механизм формирования инженерного мышления через цикл «измерение - моделирование - улучшение - интерпретация». Разработан индекс инженерной зрелости проекта (α Кронбаха = 0,87, межэкспертная корреляция r = 0,82). На выборке 40 студентов (две когорты) установлено: доля проектов с измеримым улучшением ≥20% выросла с 23% (95% ДИ: 10,0–36,0) до 71% (95% ДИ: 56,9–85,1) (p &lt; 0,001, d Коэна = 1,34), средний балл инженерной составляющей — с 61±12 (95% ДИ: 57,2–64,8) до 84±9 (95% ДИ: 81,2–86,8) (p &lt; 0,001, d = 1,12), полнота артефактов — с 12% (95% ДИ: 1,9–22,1) до 89% (95% ДИ: 79,3–98,7) (p &lt; 0,001, d = 2,15). Выявлены предикторы успешности: полнота протокола испытаний (β = 0,42, p &lt; 0,01) и качество модели узкого места (β = 0,38, p &lt; 0,05).</p></sec><sec><title>Вывод</title><p>Вывод. Для контекста российского ИТ-образования предложена количественная модель инженерной зрелости проекта, связывающая педагогические конструкты компетентностного подхода с практиками инженерии производительности и улучшения, основанного на данных. Элементы методики включены в учебный процесс ДГТУ; индекс адаптирован для оценки проектов по компьютерным сетям и базам данных; подготовлены материалы для дальнейшей межвузовской апробации.</p></sec></abstract><trans-abstract xml:lang="en"><sec><title>Objective</title><p>Objective. The aim of the study is to theoretically substantiate, develop and experimentally validate a model for assessing the engineering maturity of a student project, integrating performance measurement, system modeling and justified improvement of the solution.</p></sec><sec><title>Method</title><p>Method. Theoretical analysis of pedagogical and engineering approaches; modeling of the engineering maturity index; quasi-experiment with paired comparison; statistical analysis (Wilcoxon test, Cliff's delta); instrument validation through expert assessment.</p></sec><sec><title>Result</title><p>Result. Theoretically substantiated and empirically confirmed mechanism of engineering thinking formation through the measurement–modeling–improvement–interpretation cycle. Developed project engineering maturity index (Cronbach's α = 0.87, inter-rater reliability r = 0.82). On a sample of 40 students (two cohorts): the proportion of projects with measurable improvement ≥20% increased from 23% (95% CI: 10.0–36.0) to 71% (95% CI: 56.9–85.1) (p &lt; 0.001, Cohen's d = 1.34), the mean engineering score — from 61±12 (95% CI: 57.2–64.8) to 84±9 (95% CI: 81.2–86.8) (p &lt; 0.001, d = 1.12), and artifact completeness — from 12% (95% CI: 1.9–22.1) to 89% (95% CI: 79.3–98.7) (p &lt; 0.001, d = 2.15). Predictors of success identified: test protocol completeness (β = 0.42, p &lt; 0.01) and bottleneck model quality (β = 0.38, p &lt; 0.05).</p></sec><sec><title>Conclusion</title><p>Conclusion. For the context of Russian IT education, a quantitative model of project engineering maturity is proposed, linking the pedagogical constructs of a competency-based approach with the practices of performance engineering and data-driven improvement. Methodology implemented at DSTU; index adapted for computer networks and database courses; materials transferred to 3 universities of the North Caucasus Federal District for piloting.</p></sec></trans-abstract><kwd-group xml:lang="ru"><kwd>инженерное мышление</kwd><kwd>системное программирование</kwd><kwd>математическая реинженерия</kwd><kwd>инженерная зрелость проекта</kwd><kwd>инженерия производительности</kwd><kwd>улучшение на основе данных</kwd><kwd>компетентностный подход</kwd></kwd-group><kwd-group xml:lang="en"><kwd>engineering thinking</kwd><kwd>systems programming</kwd><kwd>mathematical reengineering</kwd><kwd>project engineering maturity</kwd><kwd>evidence-based improvement</kwd><kwd>performance engineering</kwd><kwd>competencybased approach</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">McConnell S. 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