Abstract
The article focuses on building an individual educational trajectory of a university student. This concept is formalized in the form of a hybrid mathematical model. This model is based on a structural model of educational competence. In this case, the competence is a basic construct of the educational program, it acts as a prototype of the structural model of individualized educational content. The main source of semantic and control information is the digital twin sys-tem. The digital double of the educational program formalizes its structure and content in strict ac-cordance with the regulatory requirements of federal state educational standards. The digital twin of a student fixes and processes his digital tracks throughout his life. The digital twin of the labor market formalizes the structure of a certain segment of the labor market in the context of the re-quirements for professional and personal qualities of specialists. There has been substantiated the need for proactive management of restructuring and rebranding the professional educational pro-grams in accordance with the changes at the labor market. A significant contribution to the man-agement of these evolutionary processes is made by the dynamics of a student’s activity, which is reflected in his digital traces. Hybridization of these digital twins into the system of constructing individual educational trajectory allows the semantic marking and weighing of the educational situation and projected content. Based on a suspended educational content and taking into account the regulatory requirements of educational standards and additional requirements of the educational organization, optimization modeling of an individual educational trajectory in its structural and meaningful context is carried out. The study of the structural features of the constructed hybrid mathematical model made it possible to determine and substantiate its rational structure.
Highlights
The article focuses on building an individual educational trajectory of a university student
This concept is formalized in the form of a hybrid mathematical model
The competence is a basic construct of the educational program, it acts as a prototype of the structural model of individualized educational content
Summary
Поставлена и исследована задача построения индивидуальной образовательной траектории обучающегося вуза. Постановка задачи Целью исследования обозначим разработку и исследование гибридной модели построения индивидуальной образовательной траектории на основе цифровых двойников, находящихся под непосредственным влиянием рынка труда и субъектов образовательной деятельности. Между тем для решения задачи построения ИОТ в данной модели недостает содержательных компонентов образовательного контента, явным образом устанавливающих отношение между всеми компонентами компетенции и учебными дисциплинами, а именно через компоненты (академические единицы) дисциплин πi , отраженных в элементах кортежа (2) и вектора (3). В такой постановке задачи формальное представление ИОТ есть множество Π Α как совокупность компонентов πiq , которым в модели (4) поставлены в соответствие компоненты πεr , значимые с точки зрения соответствия потребностям рынка труда и обучающегося:. С точки зрения же обучающегося интерес представляет содержательная модель ИОТ, определяющая фактическое содержание его индивидуальной образовательной программы в компонентах множеств πi (1)–(3). Для формализации построения содержательной модели ИОТ задействуем механизмы цифровых дойников, разработка которых в последнее время активно ведется в Кубанском государственном университете и Сибирском государственном университете телекоммуникаций и информатики, что нашло отражение в совместном межвузовском исследовании [5]
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