The modern digital transformation of education in Ukraine significantly affects the content of education. One of the directions of the digitalization of education in Ukraine is to increase the level of computer and IT competencies of participants in the educational process. One of the ways of introducing advanced information and communication technologies into education is the use of computer- oriented technologies in teaching mathematics. The article presents the results of a survey of mathematics teachers regarding their experience of using dynamic mathematical environments in the educational process. Some technologies for using GeoGebra 5.0 in teaching mathematics in a specialized school for self-regulation of young people’s mathematical knowledge were considered. The authors determined that it is expedient to use programs of dynamic mathematics for solving problems with parameters, for finding the largest and smallest values of a function, calculating the areas of flat figures and volumes of bodies of rotation using definite integrals, constructing sections of polyhedra, composition of motions, homothety and similarity transformation, modeling of stereometric configurations. The technique of using Geogebra 5.0 program technologies for solving selected classes of mathematical problems of a specialized school is considered. The authors emphasize the need to involve computer tools of mathematical environments in teaching mathematics, which contributes to the self-regulation of young people’s knowledge.
Keywords: dynamic mathematics program GeoGebra 5.0, mathematical knowledge, self-regulation of mathematical knowledge, specialized school, computer-oriented technologies, methodical comment, solution visualization.