Smash the four crates you find in this area to get some crystals. In the meantime, you will have to watch out for the penguins that come out of the round pools. You can't kill them, so just dodge them. After taking everything, enter the door.
Jump from one ice sheet to another, taking advantage of the collapsing platforms and monkey bars. On each ice sheet you will find a chest containing crystals. Along the way you will also meet two Red Dantini (nothing that can cause you problems). Enter the door at the end of the path to meet the boss.
This fight shouldn't bother you. The boss will fly around the room with its missile. In the meantime, you can also stand still. When the boss stops over you, get away quickly, because a few moments later the boss will fall to the ground. At this point, hit it quickly with a swipe of the tail or by stomping it. Repeat the process two more times to defeat it.