There is cast the doubt on the use of the notion attractor in pedagogy instead of the notion goal, which is traditional for this area. Meanwhile, there is accentuated that attractor is multitude limit of phase trajectory of the dynamic system, and, in order to use this notion for describing the systems of any nature, it is necessary to substantiate that this or that system is exactly dynamic, i.e. the notion of state is determined as the total of some constants at a particular moment and there is given the law, which allows describing the change of the initial state in the course of time.