This article describes the thinking behind the development of "Scholar," a "social knowledge" technology developed as part of a series of research and development projects at the University of Illinois. Seven pedagogical openings are identified in this article, possibilities for the creation of innovative learning environments…

This paper gives a brief introduction to a discipline called the cognitive science of mathematics. The theoretical background of the arguments is based on embodied cognition and findings in cognitive linguistics. It discusses Mathematical Idea Analysis, a set of techniques for studying implicit structures in mathematics. Particular attention is…