The article presents the results o f the questionnaire survey of the primary education teachers and mathematics teachers o f the discussion o f "Conception of the development o f the mathematics study in the Russian Federation" and cognitive readiness o f its realization, continuity o f problems in the mathematics study, based on the analysis o f the Conception the potential o f mathematics study in the modern environment was revealed. The examples of methodological innovations in the mathematics study for solving o f the problems o f the modern mathematics study, useful for the realization of the Conception are given.

Keywords: cognitive readiness o f the teachers, continuity of problem o f conception realization, methodological innovations, mathematics study, problems of mathematics study, cognitive motivation, pupils' interest consideration.