The having of discussions with and amongst children relating to *numbered* (or spatial or systems) situations in their environments will evoke the mathematics they need at that stage of their lives. If they have the opportunity and are encouraged to engage in mathematical discourse about these situations, and if they have mathmematically *literate* adults who model such discourse as they interact with them, then they will be prepared for wherever mathematics is going in the future, both in understanding it and developing it, and for whatever their mathematical needs will be as adults.
It is my *guess* that all of the necessary mathematics would evolve in a timely and natural manner if our society ever had the courage to allow it to happen. (After all, it all happened that way once before ;-) )
Lucille L. Peterson Math Leadership Program Bank Street Graduate School of Education Tel: 212-875-4665 610 West 112th Street Fax: 212-875-4753 New York, NY 10025 E-mail: email@example.com