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…

Discusses and criticizes a number of constructivist positions in education that are based on distinctions between the metaphors of "finding" versus "making" for the obtaining of new knowledge. Discusses what is of value in constructivism and what is ill-founded baggage. Contains 25 references. (DDR)