Currently, considerable debate focuses on whether mind is located in the head or in the
individual-in-social-action, and whether development is cognitive self-organization or …

462 PHI DELTA KAPPAN illustration by Les Kanturek of Teachers of Mathematics (NCTM)
spawned a major reform movement in school mathematics. The movement calls for …

Our intention in this article is to provide an interpretation of the influence of constructivist
thought on mathematics educators starting around 1960 and proceeding on up to the …

This paper reports results from an investigation to identify the conceptions of mathematics
held by beginning university students and their approaches to the study of mathematics …

Two of the most important concepts children develop progressively throughout their
mathematics education years are additivity and multiplicativity. Additivity is associated with …

The study compared beliefs about mathematics teaching of four pre-service elementary
teachers involved in an intervention experience with those of their non-involved peers …

Forty-one Australian children were interviewed at the beginning, middle and end of a school
year. The children were selected from three classes, one a class of 5-year-olds, a second a …

Based on the constructivist principle of active learning, we focus on children's transformation
of their cognitive play activity into what we regard as independent mathematical activity. We …

A longitudinal teaching experiment was conducted with six third graders to analyze the
itinerary of their ways of operating while solving fraction tasks. These children's quantitative …

Had Bishop Berkeley, as many fine minds before and after him, not criticized the ill-defined
concept of infinitesimal, mathematical analysis—one of the most elegant theories in …