Taking into account the style characteristics of students in the adaptive system of teaching math

The article considers the stylistic aspects of educational and cognitive activity and approaches to their consideration in the construction of the learning system. Various interpretations of the essence of the concept of «teaching styles» are presented. Existing models of teaching styles, including Kolb, Gregork, and Felder-Silverman models, and their various intersections are analyzed. It is revealed how the presented style models were taken into account in the design and development of the author's adaptive system for teaching students mathematics. The article describes an algorithm for automatic selection of educational tools, technologies and teaching methods in accordance with the student's model, which reflects the essence of the adapted Pedagogical scenario.