I agree that math in high-school should emphasize more on the creative part. It is harder, but for those students interested in it, showing to them what math is

I agree that math in high-school should emphasize more on the creative part. It is harder, but for those students interested in it, showing to them what math is really all about seems to be the only way to keep them motivated. And math competitions help a lot in that regard, at least in my country (Germany).