We investigated the relationship between two kinds of problem solving
using Kitchener's model of hierarchical cognitive processing. We predi
cted that performance on well-defined problems (i.e. those with a sing
le, guaranteed solution) would be independent of ill-defined problems
(i.e. those with multiple, non-guaranteed solutions). We also predicte
d that self-reported epistemic beliefs (i.e. assumptions about the nat
ure and acquisition of knowledge) would be related to ill-defined, but
not well-defined, solutions. Results confirmed these predictions. We
concluded that well-defined and ill-defined problems require separate
cognitive processes and that epistemic beliefs play an important role
in ill-defined problem solving. These findings supported Kitchener's t
hree-level model of problem solving.