Early Algebra: the algebra of little kids. (An abridged version appeared in NCTM's Teaching Children Mathematics, May 2010.)
Language and mathematics
Studying young minds, and how to teach them Link to Benedict Carey's Dec 20, 2009 NY Times article on the built-in mathematical abilities of all young children.
Your baby is smarter than you think! Link to Alison Gopnik's Aug 16, 2009 NY Times article on young child learning and why puzzling suits it.