Keyword: «computer modeling»

In the paper the method of imitating modeling of studying by the student of some hypothetical discipline which is calculating on 15 weeks and coming to an end with examination is considered. On the basis of fundamental psychology and pedagogical regularities of learning the mathematical multicomponent model of training is constructed. It is taking into account: 1) the division of the student's knowledge in dependence of the memory strength into three categories; 2) the duration of lessons and intervals between them; 3) the distribution of educational information on themes and on time; 4) complexity of the training material; 5) repeated studying of some themes during preparation for the test or examination; 6) the degree of the using of educational material of the previous themes when studying the current theme. The result of modelling are represented.

The article presents some methodological aspects of solving the problem of future mathematics teachers’ learning and cognitive activity enhancing in the process of geometry learning. Computer modeling of geometric objects in the environment of Mathematica system is presented as an effective means of modern educational technologies implementation.

The improvement of the computer modeling teaching technique assumes the development of physical sys-tems simple computer models. In this article the author suggests the Visual Basic Application macroses which allow to study by method of computer modeling: 1) forced swings of a spring pendulum; 2) chaotic swings of Duffing’s pendulum; 3) Van-der-Pole’s auto oscillations; 4) Lorenz’s attractor; 5) electrical oscilla-tions in oscillatory circuit. The developed programs provide series of the computational experiments realiza-tion with various researched system parameters, initial conditions and external influences.

Computer modeling is an effective tool for organizing student learning activities, expanding opportunities for active learning. The article considers the possibilities of using three-dimensional computer graphics in the process of geometric preparation of future bachelors in the sphere of pedagogical education.

Computer models can be an effective way to optimize the learning process for solving algorithmically complex problems. The use of computer models does not require special competencies among students and is accessible even to schoolchildren. Mastering the method of modeling, useful for students of any form of education and any specialty, is possible simultaneously with training in solving simulated problems. Visual programming systems and spreadsheets enable the rapid development of computer models that implement the teaching methods chosen by the teacher.