To the several who have mentioned parents who take kids down too steep terrain,
Yes, parents do that but, so do instructors. Which instructors teach the bulk of children's lessons? The youngest and least experienced. Just those who are likely to get bored with easy terrain day after day and make a poor decision to go too steep too soon. This problem reached the point where, for first timer, beginner and advanced beginner levels, the directors of the children's program had to publish a list of appropriate runs for each level and back that up with disciplinary measures (some instructors actually lost their jobs over this) to control the problem. Further, this wasn't just a problem with new instructors, some level II instructors considered the goal of a successful never ever class to get the kids off the beginner hill and down the nearest green run which happens to be the steepest green at the resort. They usually made it and had a class of locked in power wedgers as a result. Would you want to get that group of students the next day and have to explain to them and their parents that they don't have the skill level to go down a slope that another instructor has already taken them down!
Its because of the above that I have a standing request with the children's supervisors that if I am called on to help out with the children's program (usually happens once or twice a season) that I get assigned to the first timers.
I see this problem a lot now in my first year of teaching, where I'm doing lots of kids groups and am coping with the kids who assess themselves by what runs they "ski" rather than how they ski. I find it tough to get such kids to care about the "how" and it also becomes tough when they demand challenges that they aren't ready for, technically. When a ski school's priority for kids is safety first, fun second and learning third, I tend to think the 3d and 2d need to be reversed.
Maybe that means I should become a race coach.
But I really, really hate watching kids' skills go backward and/or fall apart because they're thinking only of what run they ski, rather than how they ski.
And to be fair I see this among many of my adult friends who occasionally ski with me. Some of them don't care about their technique at all, they just want bragging rights. It's a mindset that's hard for me to understand.