I have taught my 3 yr old who is now 17 and will still ski with me, albeit rarely and mainly to show me up on something tough. That's my experience, culminating in the knowlege: make sure they are having fun, all the time.
But I saw something that stunned and scared me the other morning up on Palisades.
A father is walking around the icy, sloping lip of some 30-80 foot cliffs, in his boots, no poles. He wants his daughter, who looks about 9 yrs old, to look into box chute. She didn't want to go that close to the edge (in her boots for god's sake, smarter than dad), so he half picks her up and shuffles to the brink of the lip, and leans her upper body over the cornice. She is kicking and screaming "no, I don't want to.....", and he insists that she look into the chute and understand how do-able it is. I imagine he wants her to be the youngest girl ever to drop 30 ft into box chute.
Hearing that screaming up there was unsettling to me. I had to take a deep breath before skiing. I can only imagine what was going through her head.
I hope she gets over it (for sure she will, as she's certainly bad-ass) and doesn't come to avoid that awesome place or dislike that kind of skiing. And dad, don't push so hard, and keep your skis on.