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Modern Education

Computer Two-Component Probability Model for Studying Academic Disciplines

Maier Robert Valerievich

Doctor of Pedagogy

Professor, the department of Physics and Didactics of Physics, Glazov State Pedagogical Training Institute

427628 Russia, The Udmurt Republic, Glazov, Kalinina Street 8A, unit #79

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Abstract: The article is devoted to the solution of the main task of the mathematical learning theory which is to define the level of knowledge of a student studying a discipline. The researcher states that all the acquired academic knowledge can be conditionally divided into the two categories: 1) ephemeral knowledge that is easily forgotten, and 2) time-proof knowledge (skills) developed through multiple repetitions of the academic material that is slowly forgotten. The given simulation model also takes into account the dependence of the ratio of knowledge acquisition and time a student spends on studying the material on the overall level of student's actual knowledge. To achieve the objectives of the research, the researcher has used the methods of the analysis and synthesis of complex systems, mathematical and computer simulation. The scientific novelty of the research is caused by the fact that the researcher proves that it is possible to create a two-component probability model for studying an academic discipline and this model may include: 1) probability of a student studying a new issue or repeating the material; 2) increasing share of time-proof knowledge as a result of a growing number of repetitions; 3) reduction of time spent on studying a particular material while repetitions of the material grow; 4) growing ratio of knowledge acquisition while the overall quantity of knowledge and/or knowledge of this particular material multiply. The given model allows to monitor the dynamics of student's growth of overall knowledge and his knowledge of a particular discipline.

Keywords: didactics, learning theory, learning simulation, computer model, mathematical simulation, programming, didactic system, cquisition, forgetting, quantity of knowledge
This article written in Russian. You can find full text of article in Russian here .

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