Teaching stochastics to bachelors of mathematics: Computer simulation for conceptual understanding

Abstract

The professional training of mathematics students is notable for the large volume and complexity of the content of educational material. In this regard, the problem of conceptual understanding is relevant. Since many concepts in mathematics have a high level of abstraction, studying them, it is essential to create an image of an object through various forms of knowledge representation. Computer simulation in the study of probability theory and its applications (stochastics) help students understand the essence of random phenomena and forms the ability to analyze statistical data. Students whose curriculum includes a computer simulations workshop in the study of stochastics, not only solve problems better but also higher evaluate the value of probabilistic ideas and methods and have a lower level of anxiety. Due to the use of simulations in teaching mathematics students on stochastics, we use a computer as a means of automation of calculations, means of learning, and a tool of knowledge, which corresponds to the principle of the integrated use of information computer technology in the educational process.