Pervun O. The quest-research tasks as means of the development of pupils mathematic abilities of forms with the profound mathematic studying.

The possibility of the upper forms mathematic abilities development at the solution of the quest-research tasks are considered in the thesis. Separate components of the methodic system of forming and development of the mathematic forms pupils mathematic abilities at teaching algebra and geometry with the help of the quest-search tasks are elaborated, the most optimum methods and forms of teaching which assist the mathematic abilities development are suggested. The results of pedagogic experiment that confirm the effectiveness of the suggested components of the education system are given. Main approaches to solving tasks on each subject direction are selected, and methodic recommendations on the use of the given tasks in the education process are given. It is noted in the given work that the utilization of the tasks blocks on making independently sums developing themes of the starting sums with the help of the analogy, appeal, generalization and specialization methods are the effective means for the development of the most mathematic abilities components.