The article justifies the need to use a synergistic approach to build an effectively functioning pedagogical system of mathematics education. An overview of the use of synergistic ideas in theoretical and practical pedagogy has been carried out. To analyze the goals, content, forms and methods of teaching mathematics as elements of the pedagogical system applied principles of synergy. Special attention is paid to group forms of work and organization of independent work of students. The difficulties of modern schoolchildren and students in mastering the course of mathematics are described. Conclusions were drawn on the high cognitive complexity of perception of educational information in mathematics and the need to conduct interdisciplinary research at the intersection of cognitive psychology and pedagogical modeling.

pedagogical system, mathematics training of schoolchildren and students, synergetics, principles of synergetics