This morning my Mom and I reached the point of desperation. Rafe has figured out how to get water from the front of our fridge. He finds a cup (any cup - if he can't find one, a bowl, or bucket, or shoe will do. Then he fills it as full as possible, pours it on the tile floor, and promptly slips, banging his head on the way down. As soon as he's done wailing and the floor is mopped up, he repeats. Enter the duct-tape/cutting board solution.
He's not too pleased about it, but he'll get used to it. We all will, because I'm pretty sure this isn't coming off for the next year.