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Analyzed models of learning, which take into account that: 1) the rate ofincrease of student's knowledge is proportional to the difference betweenlevels of teacher's requirements and prior knowledge; 2) if the requirementsare too high, then student motivation decreases and he stops learning. Wasproposed: 1) a one component model, coming from the fact that the traininginformation consists of equal elements; 2) a two component model that takesinto account that knowledge is assimilated with varying strength, 'trustworthy'knowledge forgotten much slower then 'weak'; 3) two component model, whichtakes into account the transition of 'weak' knowledge in 'trustworthy'knowledge. The solution of the five predictors and optimization problems oflearning theory are represented.

Solve of problems of mathematical theory of learning with using computer modeling methods