My daughter and I went skiing this week end, her second time this season. I spent much of the day staying behind her and had to do a lot of braking turns and sideways skiing (edit: good practice for moguls ;) ). I couldn't help but think this is how I see a lot of people ski. This is how a lot of people take lessons to learn how to ski, not carving/arcing, but trying to make nice well shaped speed-controlling turns that scrape a lot of snow and provide a lot of friction.
I couldn't help but notice that she seemed to be doing more sideways skiing and less arcing than she had on her first day. I of course being dense, didn't see why she didn't just ski a little faster and arc some turns.
At one point she stopped at a narrow steeper section of the hill and waited. She had just dived down steeper slopes before. She was waiting for it to clear. Just when she deemed it safe to venture forth a new heard of skiers would come from behind us and slowly sidelsip/snowplow/scrape their way down. That was frustrating for her.
Near the end of the day the hill cleared out and she suddenly remembered how to arc turns.
As it turns out she WANTED to ski sideways. She was afraid of running into someone and didn't want to ski fast when the hill was too crowded for her liking.
Arcing turns on blue runs leads to speeds that are uncomfortable to relatively new skiers when there are fewer people on the slopes than would make old hands uncomfortable.
Maybe that is why most ski instructors don't teach carving pure arcs until the skier has a lot more eperience.