Momentum in ice skating

I was watching figure skating today, and was noticing the different positions that the skater assumes when spinning.  When the girl wanted to spin faster, she would pull her body together and keep her arms and legs close together.  This way, she maintains the same angular momentum.  As she wanted to slow down, she would pull one of her legs out and stretch her ams out wide.  By stretching out her arms, she enlarges her moment of inertia and therefore slowing down.