Any theory of mathematical cognition and learning must ultimately articulate with our current understanding of how the mind works and with current theories of how knowledge is acquired from both an individual and social perspective. Certainly the human mind is very complex; understanding how it works in general and identifying the components that contribute to “doing mathematics” in particular is no easy task. To understand how the mind does mathematics, we must identify what mathematicians actually do in the context of everyday cognition. Here we discuss some of what is known and about this and point out directions for future work.
"A reflection on mathematical cognition: how far have we come and where are we going?,"
The Mathematics Enthusiast: Vol. 5
, Article 12.
Available at: http://scholarworks.umt.edu/tme/vol5/iss1/12