Concrete, abstract, formal, and systematic operations as observed in a "Piagetian" balance-beam task series.
We performed a Rasch analysis of cross-sectional developmental data gathered from children and adults who were presented with a task series derived from Inhelder's and Piaget's balance beam. The partial credit model situates both participants and items along a single hierarchically ordered dimension. As the Model of Hierarchical Complexity predicted, order of hierarchical complexity accurately predicted item difficulty, with notable exceptions at the formal and systematic levels. Gappiness between items was examined using the saltus model. A two level saltus model, which examined the gap between the concrete/abstract and formal/systematic items, was a better predictor of performance than the Rasch analysis (chi square = 71.91, df = 4, p < .01).
Dawson
Theo Linda
TL
Developmental Testing Services, LLC. Theo@DevTestService.com
Goodheart
Eric Andrew
EA
Draney
Karen
K
Wilson
Mark
M
Commons
Michael Lamport
ML
D000293:Adolescent; D000328:Adult; D002648:Child; D003071:Cognition; D003430:Cross-Sectional Studies; D005260:Female; D006801:Humans; D008297:Male; D008875:Middle Aged; D008960:Models, Psychological; D015233:Models, Statistical; D011594:Psychometrics / Q000379:methods*; D011795:Surveys and Questionnaires; D055815:Young Adult