Learning standards such as the "Common Core State Standards for Mathematics" [CCSSM] (NGA Center & CCSSO, 2010) advocate that we develop students' algebraic thinking "beginning in kindergarten." Such a tall order requires innovative approaches that re-imagine what teaching and learning mathematics means for the elementary grades. But why would we want to teach algebra to children as young as age 5? The answer to that lies in understanding what we mean by algebra in the elementary grades -- or, "early algebra."