Authors: Brian Greer
Publish Date: 2009/09/01
Volume: 41, Issue: 5, Pages: 697-702
Abstract
It is more or less taken for granted that the efficacy of mathematical acts is highly dependent on the quality of relevant representational acts though there is considerable debate about the ontology of representation In this commentary I react to the preceding five papers in which as with all experimental work that addresses this topic we can observe the struggle of the experimenters to devise experimental tasks and aligned interpretative tools to approach the difficult task of making inferences about internal processes from external behaviorBy way of introduction I offer some comments on the importance of flexibility in doing and learning/teaching mathematics related aspects of expertise and structural awareness and the centrality of representations as culturally and historically embedded cognitive tools
Keywords: