ABSTRACT
Children need not discover all generalizations for themselves, obviously. Yet we want to give them opportunity to develop a decent competence at it and a proper confidence in their ability to operate independently. There is also some need for the children to pause and review in order to recognize the connections within what they have learned—the kind of internal discovery that is probably of highest value. The cultivation of such a sense of connectedness is surely the heart of the matter. For if we do nothing else, we should somehow give to children a respect for their own powers of thinking, for their power to generate good questions, to come up with interesting informed guesses.
