Everything you know about curriculum may be wrong. Really.
UPDATE: Cool. This post was nominated and made the shortlist for Most Influential Post of 2012 by edublog. I'm really honored! Vote for me, if you're so inclined, here.
What if the earth moves and the sun is at rest? What if gravity is just a special case of space-time? Following both counter-intuitive premises revolutionized science and ushered in the modern world.