It's Remarkable That We've Gotten it So Wrong

Young children do math for fun. Most of us, however, have been taught to misunderstand mathematics. We think it has to do with numbers and equations, but that's like mistaking a map for the actual terrain. A friend with a PhD in mathematics once told me that most of what he does is discover increasingly beautiful ways to pattern, organize, sequence, and group things.In other words, when we see a child arrange blocks in a red-blue-red-blue pattern we see a child engaged in math. When children sort objects by color or shape or some other characteristic, they are doing math. When children discover a clapping pattern or identify an animal as belonging to a smaller category called "bugs," they are engaged in math. Math is one of the fundamental ways that humans make sense of a complex world. The numbers and equations are academic abstractions that help us communicate, explore, and solve specific problems, but when we center this aspect of math in the early years we rob it of its essential…