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Совершенствование содержания программ математического цикла для экономистов-бакалавров на примере дисциплины «Линейная алгебра»
Вестник Нижегородского университета им. Н.И. Лобачевского. Серия: Социальные науки. 2022. № 1(65). С. 157–165.
М.В. Котельникова, А.В. Аистов
The article presents a method for improving the content of the disciplines of the mathematical cycle ("Linear algebra", "Mathematical analysis", "Probability theory and mathematical statistics") based on the content of the program "Econometrics" for the direction of training 38.03.01 Economics of N.I. Lobachevsky National Research University. The described methodology can be applied to any discipline and includes seven main points. The article presents the following results of the methodology use for "Linear algebra": matrices of logical connections (MLS) within the discipline and the interdisciplinary "Linear algebra"–"Econometrics"; chains of significance of content elements (a fragment of a table); the result of allocating a common (invariant) part of the programs of several selected universities; a hierarchy of topics within the discipline and their rating built on the basis of the analysis; a variant of redistribution of time allocation for seminars and independent work; examples of possible topics for research and project work. It is proposed to redistribute the hours of training sessions depending on the rating of each topic obtained as a result of the conducted research. For those with a high rating, it is necessary to allocate more time for seminar classes, for those with a low rating-for independent work. According to the results of the application of the methodology, there was an improvement in the quality of students 'mastering the material of mathematical disciplines necessary for a more complete study of "Econometrics", and, as a result, to increase the level of formation of "Professional mathematical competence of an economist" (PMCE), which positively affects their further successful professional activity.
Keywords: рейтингэконометрикаиерархияratingeconometricsинвариантhierarchyinvariantПрофессиональная математическая компетенция экономиста (ПМКЭ)цепочки значимости элементов содержания дисциплинprofessional mathematical competence of an economist (PMCE)matrix of logical connections (MLS)chains of significance of content elementsматрица логических связей
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