European Research in Mathematics Education I.II

This paper represents the results of special courses given to undergraduate teacher students of «mathematics-computer science» speciality. A general idea that integrated these courses, consist in the training of future teachers for understanding the possibilities and limits of the use of technologies (systems like DERIVE and Cabri-geometre) for support of pedagogical control of learners’ cognitive activity. It is very important to develop teacher students’ abilities for their researches on why and how they should use technologies particularly like microworlds and computer algebra systems. It gave an opportunity to encourage teacher students’ interest in teaching algorithmic and half-algorithmic problems as well as heuristic problems and therefore heuristic methods of operations that intrinsic of creative activities.