Methodology of competition activity of skilled fgure skaters is reasonable. The model of the special preparedness of future teachers is worked out. Maintenance and principles of process of teaching of students is worked out. Methodical bases of technology of teaching students to the construction of competition compositions are reasonable. The pedagogical departmental of students teaching is presented taking into account modern features and progress of fgure-skating trends on skates. Conception is based on a capture students professional knowledge, abilities and skills.