id: 06526672
dt: j
an: 2016a.00371
au: Veres, Sándor M.
ti: On the psychology of mathematical problem solving by gifted students.
so: Teach. Math. Comput. Sci. 13, No. 2, 289-301 (2015).
py: 2015
pu: ,
la: EN
cc: D50 C30 C20
ut: methodology of problem solving; psychology of problem solving;
competitions; inspiration; intuition; heuristics; teaching; gifted
pupils
ci:
li:
ab: 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 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.
rv: