Confirmation of Platonic Recollection?

A recent New York Times article finds that people with no formal training in geometry can answer questions about geometry. The psychologist who performed the study does not attempt to explain why this is the case.

But Plato does. In the Meno dialogue he has Socrates perform a similar experiment, and suggests that all learning is really recollection of what we knew in our disembodied state before birth.

These findings do seem to suggest that we have innate ideas, and the Platonic idea of recollection would certainly explain them. Is this the best explanation? If not, what would be a better one?