The notions of "abstract" and "concrete" are central to the conceptualization of mathematical knowing and learning. Much of the literature takes a dualist approach, leading to the privileging of the former term at the expense of the latter. In this article, we provide a concrete analysis of a scientist interpreting an unfamiliar graph to show how…

Provides a neurocomputational account of knowing and learning and grounds situational cognition theory in a neurocomputational model of neuronal activity. Presents the advantages of this theoretical approach. Contains 60 references. (DDR)

Describes an epistemological framework and an associated research method. The framework focuses on the structural relations of individual and setting as experienced by the individual. The analysis consists in zooming to identify patterns that simultaneously occur at multiple levels. Uses data from a physics classroom where students learn to…

Advocates artificial neural networks as models for cognition and development. Provides an example of how such models work in the context of a well-known Piagetian developmental task and school science activity: balance beam problems. (Contains 59 references.) (Author/WRM)

Reanalyzes pretest and posttest interviews from a large classroom study using a situated cognition framework. Concludes that cognition is a dynamic process that changes in different ways over shorter and longer time scales. Contains 40 references. (DDR)