DEVELOPING CREATIVE ACTIVITY ABILITIES OF STUDENTS IN HIGHER EDUCATIONAL ESTABLISHMENTS

The article discusses methods of solving geometric problems with the active use of methods such as analysis and synthesis, analogy and generalization, based on theoretical thinking about the principle of rising from simple to complex, to develop students' capacity for the creative activity. The authors developed problem systems, focused on building the capacity to "make" independent discoveries both in the process of solving a problem and in the phase of research for the result. The problem system developed aims to find a way to solve a more complex problem, after a similar method been used in another simpler or more particular problem. Participants in the experiment are future masters in pedagogical education (profile "Mathematics Education") at Togliatti State University. The article shows that the most effective methods to prepare future masters in mathematics education for creative professional activity can be methods such as scientific knowledge as analogy and generalization. It was found that in the learning process of solving geometric problems inserted in the developed system, students present superior indicators of the level of formation of creative activity, as a result of the development of the capacity of the future teacher of pedagogical education (profile "Mathematics Education") to analogy and its application in specific situations, its ability to use established properties, formed skills and abilities, techniques and methods of action in relation to another object under new conditions and for new purposes, the use of mathematical concepts and theorems in specific problems increasingly diverse.