To beat the boss in Cortex's niece's academy, you have to do this. She
will shoot at the platforms and split them in half. Use Cortex's raygun
to shoot the platforms back down. The boss will do this for a short
period of time and then she will make bells come towards her. Shoot the
bells but be quick as the bells will go forward and past you slowly.
When you've shot all the bells she will turn around and you'll see a
jetpack-like thing on her back. Shoot that. Do it three times (the
platform shooting, the bell shooting and the jetpack shooting)she will
fall. Then go to the right side of the platform and wait for the lift
and then go to the next level.