Role and place of problems in development of research competence of schoolchildren

The article reveals the meaning of research competence. It gives the classification of mathematical problems, which is based on the following criteria: the way of problem solving, the possibilities of aim achieving, the degree of induction of problem solving by a condition and the degree of certainty of a conditions of a problem. The authors mark and define the main types of the problems, which influence the development of the research competence of schoolchildren.