title: Proof construction: adolescent development from inductive to deductive problem-solving strategies.
abstract: Inductive and deductive approaches to the construction of problem-solving proofs were examined using a task that requires the discovery of a geometrical figure hidden behind a series of covers. It was proposed that during adolescence, with the acquisition of a formal reasoning competence (as measured by Overton's [1990] version of Wason's selection task), there would be a transition from inductive to deductive proof construction strategies. One hundred adolescents were assessed on both the problem-solving proof task and the reasoning competence is associated with taking a deductive approach to proof construction. Formal reasoners tend to construct a proof based on the use of a falsification strategy as demonstrated by their search for disconfirming instances. A nonformal level of competence on the other hand is associated with inductive approaches. In this situation nonformal subjects tend to employ a verification strategy as demonstrated by the generation of redundant information. Results support the hypothesis that there is a cognitive developmental progression from an inductive approach to the construction of proofs to a deductive approach.
authors.affiliation: Department of Psychology, Temple University, Philadelphia, PA 19122.
authors.forename: C
authors.initials: C
authors.lastname: Foltz
authors.forename: W F
authors.initials: WF
authors.lastname: Overton
authors.forename: R B
authors.initials: RB
authors.lastname: Ricco
mesh_terms: D000293:Adolescent; D001364:Awareness; D002648:Child; D003210:Concept Formation; D004193:Discrimination Learning; D005260:Female; D006801:Humans; D008297:Male; D008433:Mathematics; D010364:Pattern Recognition, Visual; D010470:Perceptual Masking; D011340:Problem Solving; D000297:Psychology, Adolescent