
06526672
j
2016a.00371
Veres, S\'andor M.
On the psychology of mathematical problem solving by gifted students.
Teach. Math. Comput. Sci. 13, No. 2, 289301 (2015).
2015
,
EN
D50
C30
C20
methodology of problem solving
psychology of problem solving
competitions
inspiration
intuition
heuristics
teaching
gifted pupils
Summary: This 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 metamathematical 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 ``relationshipvision'' introduced here. Finally, nonprocedural aspects of the psychology of problem solving are summarized, such as the role of persistence, teacherpupil relationship, the amount of experience needed, selfconfidence and inspiration at competitions.