I'm having trouble getting a feel of whether we actually have a gifted kid, or if I'm crazy and seeing things that aren't there.
One thought is to move away from the label. It's all a sliding scale in a wide range of different intellectual skills. Kids learn best when presented with material they are ready to learn. So, if a kid knows the alphabet backwards and forwards, they probably are ready to learn letter patterns in words. If they can easily count up to 10, then they would proably like to learn to count to 20+ and then on to skip counting.
I've seen some more formal pre-K programs that list the skills they'll be working on. If they are beneath where your kid is at, keep looking.
