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JOURNALS // Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory // Archive

Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2020 Volume 186, Pages 116–122 (Mi into720)

This article is cited in 1 paper

Improving the efficiency of the learning process using the Markov model

V. I. Serbin

Astrakhan State University

Abstract: We consider a Markovian model of learning consisting of three states: the state of knowledge transfer, the training state, and the state of knowledge control. Taking into account of training time within this model allows one to obtain additional information about competencies of trainees, to estimate the values of latent parameters, and to improve the learning process.

Keywords: training system, latent parameter, training, testing, mathematical model, Markov model, differential entropy, Rasch model.

UDC: 517.929

MSC: 34K06, 34K10, 34K13

DOI: 10.36535/0233-6723-2020-186-116-122



© Steklov Math. Inst. of RAS, 2025