Two studies examined understanding of notational representation among 3- to 5-year-olds. Children solved problems when shown cards with a picture or word indicating identity or a quantity indicator. In the easier condition, children had difficulty solving the problems as a function of their familiarity with the notation, suggesting weaknesses in…

This paper examines sixth-grade children's thinking related to solving ratio and proportion problems before these children had received any instruction in the domain. It explores unitizing and norming, one of the processes identified by both content analyses (Behr, Harel, Post, & Lesh, 1990); Harel, Behr, Post & Lesh, 1990) and research in…