This study examined if solving arithmetic problems hinders undergraduates' accuracy on algebra problems. The hypothesis was that solving arithmetic problems would hinder accuracy because it activates an operational view of equations, even in educated adults who have years of experience with algebra. In three experiments, undergraduates (N = 184)…

A distinction can be drawn between extensive and intensive quantities. Extensive quantities (e.g., volume, distance), which have been the focus of developmental research, depend upon additive combination. Intensive quantities (e.g., density, speed), which have been relatively neglected, derive from proportional relations between variables. Thus,…

The current study investigated developmental trajectories of teacher-reported aggressive behavior and whether these trajectories are associated with social-cognitive development (i.e., aggressive problem-solving) across the first three elementary grades in a large sample from Switzerland (N = 1,146). Semiparametric group-based analyses were…

Differentiation and integration played large roles within classic developmental theories but have been relegated to obscurity within contemporary theories. However, they may have a useful role to play in modern theories as well, if conceptualized as guiding principles for analyzing change rather than as real-time mechanisms. In the present study,…

A set of covariation problems was structured so that the solution pattern across problems would indicate the judgment rule used by each subject. A developmental trend across subjects in fourth, seventh, and tenth grades and in college demonstrated rule shifts toward use of increasingly accurate rules. (Author/RH)

A sample of 86 college students aged 18 to 35 years of age were asked to solve three formal operations tasks and to participate in a problem-finding task. No relation was found between performance on problem-finding and the formal operations task. (JMB)

Three degrees of cognitive processing were tapped by four problem types when 60 children between four and eight years were administered a set of geometry tasks differing in complexity. Analysis revealed that the tasks differed in difficulty, task success was related to age, and a hierarchical sequence existed among the skills. (SKC)

Jean Piaget's theory of cognitive development described what children are capable of doing at each stage of development; new research focuses on actual use of these capabilities. (Author/MLF)

Skill theory attempts to provide tools for the prediction of developmental sequences in any domain at any point in development. The theory suggests a common framework for integrating developmental analyses of cognitive, social, perceptual/motor skills, and behavioral changes in learning and problem solving. (Author/GK)

This paper examines the category-theoretic formulation of cognitive development introduced by Piaget in the late 1960's and elaborated during the 1970's. The new theory is interpreted as the focal point of Piaget's investigations into topics such as function, correspondences, and commutability. Hypotheses arising from Piaget's new model were…

Nine undergraduate science and non-science majors (novices) who had recently completed their first college classroom study of genetics and seven genetics graduate students and biology instructors (experts) were videotaped as they attempted to solve a selected group of seven moderately complex classifical genetics problems and three Piagetian tasks…

The perspective of the child as an active problem solver is promoted. Three theoretical orientations consistent with this perspective are presented, and the value of conceptualizing treatment change in the context of developmental change is stressed. (Author/GK)

Assessed J. F. Wohlwill's notion of way-stations in development by investigating developmental interdependencies among children's solutions to three proportionality tasks: a balance beam task, a probability judgment, and a juice-mixing task. (SKC)

Outlines Piaget's late ideas on categories and morphisms and the impact of these ideas on the comprehension of the inclusion relationship and the solution of arithmetic problems. Reports a study in which fourth through sixth graders were given arithmetic problems involving two known quantities associated with changes rather than states. Identified…

Two experiments yield data suggesting that the structure of children's concept of artifact function changes profoundly between age 5 and 7, with striking effects on problem-solving performance. This effect is not caused by differences in children's knowledge about the typical use of particular tools, but rather, is mediated by the structure of the…