Aryutkina S.V. 1
1 Arzamas branch of the NNGU
In article various aspects of process of generalization are considered, philosophical, psychological -pedagogical and scientifically-methodical bases of this process with reference to training to the mathematician are described. The teoretiko-methodological analysis of existing approaches to definition of concept of generalization from positions of their applicability to identification of essence of generalization of a mathematical task is carried out. Specifics of available treatments, and also the basic provisions defining regularities of process of generalization as psychological, pedagogical and methodical category come to light. Some approaches to synthesis of mathematical theories are established. They in many respects define essence of generalization of a mathematical problem as abstraction from some properties of its content. Besides, in article opportunities and use prospects for development of pupils of vicinities of the generalized mathematical tasks are emphasized.