Solving and creating Raven Progressive Matrices: reasoning in well- and ill-defined problem spaces

We studied the development of creative cognition in children ranging from nursery school to Grade 6 (4-12 yr old, N¼511), performing a problem generation task. The task involved inventing a novel item for a classical problem solving task they had completed beforehand: the Raven Progressive Matrices (RPM). This task and the generating task both comprise matrixes of components, to which a set of transformational relations are applied; only in the first case these are inferred to solve a puzzle, but in the second they are invented to create one. We analyzed the matrixes invented in the generation task and compared them to those of the original solving task. We observed that (a) both in solving and generation, the ability to combine more than 1 relation increased with grade level, (b) within all 8 grades, except Grades 3 and 6, performance was uncorrelated between both tasks, (c) relations that were applied in the generation task often did feature in the solving task, and (d) relations occurring in both tasks were applied with different frequencies. Overall, we conclude that standard problem solving ability is not a precondition for creative reasoning and that the comprehension of relations between components featured in solving task differs from that applied in generation.