Originally Posted by oisin
The skills transfer well. I taught a private level one lesson once to a fellow who had never skied and was an accomplished hockey skater. He was literally an almost instant level three
I think the sensation of balancing on a thin, moving edge translates well from skate to ski, as does the feel of tipping that edge to change direction. Any of you guys who've amazed your friends with your immediate competence the first time you've laced up a pair of roller blades know that it works in reverse also.
As for the cross-over move on skates, it is very different from the cross-over move on skis, and I don't see much specific correlation or carry over. In a skating cross-over the Center Of Mass mass remains on the same side of the feet. In a skiing cross-over move it changes sides. In skating the cross over refers to the foot, in skiing it refers to the CM.
It is, however, great for developing the ability to move from foot to foot.