CASPIAN JOURNAL

MANAGEMENT AND HIGH TECHNOLOGIES

Managing the process of learning through a Markov model

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Serbin Vladimir Ivanovich Managing the process of learning through a Markov model // Caspian journal : management and high technologies. — 2013. — №4. — pp. 29-36.

Serbin Vladimir Ivanovich - Senior Lecturer, Astrakhan State University, 20a Tatishchev St., Astrakhan, 414056, Russian Federation, VISerbin@mail.ru

Effectiveness of learning management depends on the adequacy (objectivity) ratings: knowledge, skills and abilities of the students; latent learning parameters (level of a learner, the difficulty of the training and testing tasks). The article is justified that the existing methods of test results based on the Rasch model can not determine latent training parameters, but only the relations between them. In this regard, the author suggests the use of a Markov model of training, which includes two states: “proper education and training”, “control of knowledge with test items”. The author shows that the application of this model in the framework of accounting of time spent studying on a solution of the test task, provides additional information about the skills of trainees, to estimate the values of parameters and latent, based on this, to better manage the learning process. The paper presents in detail the mathematical apparatus used in the proposed model, including formal methods of information theory.

Key words: training system,latent parameter,training,testing,mathematical model,Markov model,differential entropy,Rasch model