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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">umovest</journal-id><journal-title-group><journal-title xml:lang="ru">Статистика и Экономика</journal-title><trans-title-group xml:lang="en"><trans-title>Statistics and Economics</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2500-3925</issn><publisher><publisher-name>Plekhanov Russian University of Economics</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.21686/2500-3925-2018-5-73-80</article-id><article-id custom-type="elpub" pub-id-type="custom">umovest-1311</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>СТАТИСТИКА И МАТЕМАТИЧЕСКИЕ МЕТОДЫ В ЭКОНОМИКЕ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>STATISTICAL AND MATHEMATICAL METHODS  IN ECONOMICS</subject></subj-group></article-categories><title-group><article-title>Оценка противоречивости логической структуры учебного плана</article-title><trans-title-group xml:lang="en"><trans-title>Inconsistency evaluation of the curriculum logical structure</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Агеев</surname><given-names>Ю. Д.</given-names></name><name name-style="western" xml:lang="en"><surname>Ageev</surname><given-names>Yu. D.</given-names></name></name-alternatives><email xlink:type="simple">y.ageev@odin.mgimo.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Федосеев</surname><given-names>С. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Fedoseev</surname><given-names>S. V.</given-names></name></name-alternatives><email xlink:type="simple">s.fedoseev@odin.mgimo.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Кавин</surname><given-names>Ю. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Kavin</surname><given-names>Yu. A.</given-names></name></name-alternatives><email xlink:type="simple">y.kavin@odin.mgimo.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Ворона</surname><given-names>С. Г.</given-names></name><name name-style="western" xml:lang="en"><surname>Vorona</surname><given-names>S. G.</given-names></name></name-alternatives><email xlink:type="simple">vorona_1953@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Павловский</surname><given-names>И. С.</given-names></name><name name-style="western" xml:lang="en"><surname>Pavlovskiy</surname><given-names>I. S.</given-names></name></name-alternatives><email xlink:type="simple">i.pavlovsky@odin.mgimo.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Одинцовский филиал ФГАОУ ВО «Московский государственный институт международных отношений университет» Министерства иностранных дел Российской Федерации</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Odintsovo Branch of Moscow State Institute of International Relations (University) of the Ministry of Foreign Affairs of Russia</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2018</year></pub-date><pub-date pub-type="epub"><day>13</day><month>11</month><year>2018</year></pub-date><volume>15</volume><issue>5</issue><fpage>73</fpage><lpage>80</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Агеев Ю.Д., Федосеев С.В., Кавин Ю.А., Ворона С.Г., Павловский И.С., 2018</copyright-statement><copyright-year>2018</copyright-year><copyright-holder xml:lang="ru">Агеев Ю.Д., Федосеев С.В., Кавин Ю.А., Ворона С.Г., Павловский И.С.</copyright-holder><copyright-holder xml:lang="en">Ageev Y.D., Fedoseev S.V., Kavin Y.A., Vorona S.G., Pavlovskiy I.S.</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://statecon.rea.ru/jour/article/view/1311">https://statecon.rea.ru/jour/article/view/1311</self-uri><abstract><p>Цель исследования. Основной целью создания учебного плана является упорядочение учебных дисциплин в соответствии с логикой процесса обучения, определенной взаимосвязями между основными понятиями дисциплин. Нарушение данной логики становится очевидным только непосредственно в ходе проведения учебных занятий.Большое разнообразие количественных методов используют показатели, которые не позволяют выявить структурные недоработки учебного плана. Это затрудняет процесс улучшения учебного плана.Целью данной работы является продемонстрировать применение общего подхода к оценке структурной противоречивости систем применительно к оценке логической структуры учебного плана.Материалы и методы. В работе применен общий подход к оценке структурной целостности, разработанный на основе положений общей теории систем и теория графов. Подход предусматривает построение трех взаимосвязанных структурных моделей системы и определения с их помощью исходных данных для расчета показателя противоречивости структуры системы.Результаты. Общий подход к оценке структурной целостности адаптирован для оценки логической структуры учебного плана. Разработаны три модели структуры учебного плана:– элементарная модель междисциплинарных связей;– сетевая модель учебного плана;– иерархическая модель учебного плана.На основе параметров иерархической модели учебного плана с использованием трех адаптированных алгоритмов рассчитано значение показателя противоречивости структуры учебного плана по направлению подготовки Прикладная информатика. Предложены рекомендации по изменению структуры исследуемого учебного плана для понижения степени его структурной противоречивости.Заключение. В результате проведенных исследований предложена методика, которая позволяет выявить возможные противоречия в структуре учебного плана и дать оценку его противоречивости.Как показали проведенные эксперименты, исследовать ручным способом учебные планы, количество дисциплин в которых превышает 50, крайне сложно. В связи с этим завершается разработка комплекса компьютерных программ, которые позволят автоматизировать оценку противоречивости больших учебных планов.</p></abstract><trans-abstract xml:lang="en"><p>Purpose of the study. The main purpose of creating a curriculum is to regulate academic disciplines in accordance with the logic of the learning process, defined by the relationship between the basic concepts of the disciplines. Violation of this logic becomes apparent only directly during the training sessions.A large variety of quantitative methods uses indicators that do not reveal structural deficiencies in the curriculum. This makes it difficult to improve the curriculum.The purpose of this work is to demonstrate the application of a general approach to the assessment of the structural inconsistency of systems in relation to the evaluation of the logical structure of the curriculum.Materials and methods. The paper applies a general approach to the assessment of structural integrity, developed on the basis of the provisions of the general theory of systems and graph theory. The approach involves the construction of three interrelated structural models of the system and using them to determine the initial data for calculating the index of inconsistency of the system structure.Results. The overall approach to the assessment of structural integrity is adapted to assess the logical structure of the curriculum. Three models of curriculum structure are developed:Elementary model of interdisciplinary communication;Curriculum network model;Hierarchical curriculum model.Based on the parameters of the hierarchical curriculum model, using three adapted algorithms, the value of the inconsistency index of the curriculum structure in the direction of preparation “Applied Informatics” is calculated. Recommendations on changing the structure of the studied curriculum to reduce the degree of its structural inconsistency are proposed. Conclusion. As a result of the research, the methods were proposed that allow identifying possible contradictions in the structure of the curriculum and evaluating its inconsistency. </p><p>As the experiments have shown, it is extremely difficult to study the curricula in a manual manner, the number of disciplines in which exceeds 50. In this regard, the development of a complex of computer programs that will automate the assessment of the inconsistency of large curricula is being completed.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>интегрированные учебные программы</kwd><kwd>коли- чественная оценка учебных планов</kwd><kwd>системный подход</kwd><kwd>теория графов</kwd><kwd>показатель противоречивости</kwd></kwd-group><kwd-group xml:lang="en"><kwd>integrated curricula</kwd><kwd>quantitative evaluation of curricula</kwd><kwd>system approach</kwd><kwd>graph theory</kwd><kwd>inconsistency indicator</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">The Bologna Declaration of 19 June 1999.</mixed-citation><mixed-citation xml:lang="en">The Bologna Declaration of 19 June 1999.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Гоголева И.В., Семенова Г.Е., Иванова А.В. 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