I have a glitch:
Go to the bottom of the hill leading to the school.
Transform into a Wizard and enter these linguistics:
Incantation Flower Many(DO NOT CAST)
Get on your broom and ride up to the top of the hill. Stop, and the inventory icon should appear. Go to your inventory, select yourself, and click unequip.
You should be riding on your wand now.
Press X to cast the incantation. You can do it anywhere, it will fail, and now you'll be riding in the air on nothing.