In Abu Dhabi all of the floors I ever saw were made of tile, perhaps to withstand inevitable sand and to be cooler. I appreciated them until Elias and then Ezra had to try to learn to walk on them- then the frequent falls in the beginning of their endeavors had me worried about their skulls and such! Since the floors were so cool and easily slick, putting sock on made it slicker and shoes made a baby learning to walk not have the grip of his toes for stability. Then, I met a friend with a solution: Coega sun wear pool shoes. http://www.coegawear.com/products.php?section=5/
They have a thin rubber-like grip bottom and a stretchy fabric top with elastic around the opening. They stay on, keep the feet warm and give traction with a bare-foot feel for a baby learning to walk on tile... And since they're technically pool shoes, even if the tile gets wet they are less likely to slip. Can you tell I was impressed? (This is not paid advertising.) Ezra is wearing them in the grass in the picture above. They do well on beach sand also.
Now the problem is that they only seem to be available in the Middle East.