Mathematical modeling as a method of forming cognitive universal learning actions and competences of students in the conditions of a holistic educational environment

From the standpoint of information and educational holism $\Sigma $ ieh, conditions and features of the transitional period of digital transformation of education, the didactic potential of mathematical modeling in the formation and development of cognitive universal learning activities (ULA) in mathematics lessons for schoolchildren and universal competencies (UC) in the study of mathematical and methodological methods is analyzed-mathematical disciplines by students of universities of the direction of preparation Pedagogical education. Based on the compatibility of the requirements of the federal state educational standards of secondary general and higher education (FSES SGE and FSES HE), which determine the conditions and features of the formation and development of universal learning activities in schoolchildren and universal competencies in students — future teachers of mathematics, the optimizing effect of $\Sigma $ ieh on these processes. The possibilities of mathematical modeling are considered as an educational technology that makes it possible to increase the efficiency of obtaining, assimilation and application of new subject and methodological knowledge by students in conditions of mixed offline- and online-learning. A model of information and educational holism and examples of tasks are given.