April 29, 2014

“The relation of school children to mathematics remains deeply puzzling after more than a decade of wide-scale experiment in the classroom and in the cognitive laboratory. The extent of the puzzle is often obscured by popular prejudices about mathematics and about children. For if one asks: “why cannot every child learn algebra in a week?” the answer […]

March 10, 2011

“Many children who have trouble understanding mathematics also have a hopelessly deficient model of what mathematical understanding is like. Particularly bad are models which expect understanding to come in a flash, all at once, ready made. This binary model is expressed by the fact that the child will admit the existence of only two states […]