The contribution enquires into possibilities of application of the heuristic methods in the teaching process, specifically its applications during the classes of mathematics in grammar school. In the frame of the research the influence was monitored of the unconventional way of solving problems during classes of mathematics in relation to the evaluation of educational advancements. Furthermore, pupils evaluated their attitude towards mathematical study including their viewpoint on problematic exercises in maths and the successfulness of solving these mathematical exercises was also evaluated. The results of the experimental group were compared to the same areas in the control group.