Pedagogical strategies for activating the independent activity of cadets of military educational institutions and students of technical higher educational institutions by means of the discipline "Linear Algebra" in the context of digitalization of educati

Abstract

The article is devoted to the development and testing of pedagogical strategies to enhance the independent activities of military cadets and students of technical universities using linear algebra in the context of digitalization of education. A conceptual analysis of the literature on the problem has been carried out, controversial aspects of terminology have been identified, and the relevance of the research has been substantiated. Based on the analysis of empirical data obtained from representative samples using valid methodological tools, a typology of strategies has been developed and their effectiveness has been proven. Three main types are identified and described: problem-based research, design, and innovation-creative strategies. The conditions and factors of their effective application in the practice of higher education are determined, taking into account the specifics of military and technical universities. Statistically significant effects of implementing strategies have been established: increased motivation, meta-subject and special competencies, and research activity of students. Prospects for further research on the problem are outlined, with an emphasis on the personalization of educational trajectories and the use of artificial intelligence technologies. The research results have theoretical significance for the development of higher school pedagogy and practical value for improving the mathematical training of cadets and students.