It makes little sense to spend a month teaching decimal fractions to fourth-grade pupils when they can be taught in a week, and better understood and retained, by sixth-grade students. Child-centeredness does not mean lack of rigor or standards; it does mean finding the best match between curricula and children's developing interests and abilities.

Much of the pressure contemporary parents feel with respect to dressing children in designer clothes, teaching young children academics, and giving them instruction in sports derives directly from our need to use our children to impress others with our economic surplus. We find "good" rather than real reasons for letting our children go along with the crowd.

So while it is true that children are exposed to more information and a greater variety of experiences than were children of the past, it does not follow that they automatically become more sophisticated. We always know much more than we understand, and with the torrent of information to which young people are exposed, the gap between knowing and understanding, between experience and learning, has become even greater than it was in the past.

The shift from the perception of the child as innocent to the perception of the child as competent has greatly increased the demands on contemporary children for maturity, for participating in competitive sports, for early academic achievement, and for protecting themselves against adults who might do them harm. While children might be able to cope with any one of those demands taken singly, taken together they often exceed children's adaptive capacity.

If learning to read was as easy as learning to talk, as some writers claim, many more children would learn to read on their own. The fact that they do not, despite their being surrounded by print, suggests that learning to read is not a spontaneous or simple skill.

In leading-edge companies like Google and Apple, workers are given much freedom and opportunity to play. They know that's an important component of creating new and better products. I believe that at whatever level of work, cashier at a supermarket, janitor at an airport, aide in a cubicle, the addition of a playful attitude makes the job better and the work more enjoyable. A cashier or janitor who smiles and is friendly gets a better response than a surly one.

Certainly, young children can begin to practice making letters and numbers and solving problems, but this should be done without workbooks. Young children need to learn initiative, autonomy, industry, and competence before they learn that answers can be right or wrong.