For the first part taking your time  is the key. To retrieve the white
gem, when you get to the part that there are two penguins and front of
you, look to the left. You will see another penguin. After you spin him,
you will see a little ice burg with the white gem. Continue along the
path until you get to the part where your on the spinning thing and have
to jump to another ledge. Jump on the one without boxes first!!!! Then
double jump over. Be sure you don't smash the jump box right away
because you need it to get the green gem!! after you go up the next one,
turn around a look behind u before going forward. the purple gem should
be visible. If not its on the next ledge up. For the top one, wait until
you are really close to the ledge to jump.
        When you get to the part that you have to play with cortex throw
him over the red thing and double jump over it. spin him and throw him
over the next one. Wait for him to kill the penguins as it really helps.
Always throw him when you see enemies on different ledges and wait for
him to kill them. For those that you have to throw him over to crawl
under, crawl once he is over or he will return to the other side and
that's no fun for you. When you have to fight Uka Uka just keep throwing
cortex to the switches. before you jump on the button make sure that he
is on one of the openings. Stay in the middle until he has been hurt.
Keep going around throwing cortex to the switches and dodging his
attacks. For the ice just jump in the middle once he starts it. Have fun
and Good luck!!