Research in the psychology of mathematics education has been confronted with the fact that people blatantly fail to solve tasks they are supposed to be able to solve correctly given their available domain-specific knowledge and skills. Also researchers in cognitive psychology have encountered such phenomena. In this paper, theories that have been…

Researchers concerned with the issue of children's play are urged to read the book "Children's Play: Current Theory and Research" edited by D. J. Pepler and K. H. Rubin which provides an up-to-date review of the conceptual, methodological and developmental issues related to children's play. (MP)

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…

Proposes a self-instructional strategy training paradigm designed to explicitly teach that the use of heuristic processes and mediational devices can be employed to compensate for age-associated deficits, such as poor problem solving. Format for the procedure was derived from the developmental research of the Soviet psychologists Vygotsky and…

Proposes causal field theory as a model of causal reasoning. Suggests that anomaly detection through comparison with natural events triggers causal reasoning. This anomaly is interpreted in terms of agency; therefore, natural phenomena can be understood through an appeal to agency. The mechanism proposed never changes with development, whereas…