Veres, Sandor M.2024-09-042024-09-042015-12-01Teaching Mathematics and Computer Science, Vol. 13 No. 2 (2015) , 289-3011589-7389https://hdl.handle.net/2437/379791This paper examines the nature of mathematical problem solving from a psychological viewpoint as a sequence of mental steps. The scope is limited to solution processes for well defined problems, for instance, which occur at International Mathematical Olympiads. First the meta-mathematical background is outlined in order to present problem solving as a well defined search problem and hence as a discovery process. Solving problems is described as a sequence of elementary steps of the so called "relationship-vision" introduced here. Finally, non-procedural aspects of the psychology of problem solving are summarized, such as the role of persistence, teacher-pupil relationship, the amount of experience needed, self-confidence and inspiration at competitions.application/pdfmethodology and psychology of mathematical problem solvingcompetitionsinspirationintuitionheuristicsteaching mathematicsgifted pupilsfolyóiratcikkOpen AccessSandor M. Vereshttps://doi.org/10.5485/TMCS.2015.0405Teaching Mathematics and Computer Science213Teach. Math. Comp. Sci.2676-8364