Abramova D.A. 1
Zhukova N.M. 1
1 Moscow State Agroengineering University named after V.P. Goryachkin
The problems of educational assessment levels of formation competences of students studying in continuing professional education. The developed mathematical tools to determine dependence of the probability achieving the necessary level of training conditional on time, in order to use the data obtained in the selection, construction and selection of content learning technologies, as well as to create a personalized environment (person-centered), the trajectory of students at various levels of vocational education. If you are using mathematical tools necessary to take into account: the state of training (the sum of acquired knowledge, expressed in credits), while studying the discipline, the intensity of the flow of educational material or forgetting (part of the knowledge, skills and abilities lost per unit of time), or the intensity of the absorption process (part of the knowledge and skills assimilated per unit time).