Here are a few tricks to leveling up faster in your desired skill....

Restoration: Simply go find a lake a jump in it. Then drown your self causing damage to your self. Stop at the point right before you lose your health completely then come up for air onto land and use healing spells and your Restoration skill will go up. Make sure to save often when doing this as one can mess up...

Alteration: Just stand in water and activate waterbreathing over and over...

Illusion: Just activate Muffle over and over...

Conjuration: Summon a Flame and inter combat with it and let it hit you a little then kill it. If you use a weapon while doing this your skill for that will go up to...

I'm sure you all get the point on how to do this now. You can discover other equivalent ways I'm sure...

Most of you probably already know these methods of practicing your skills to become more powerful in them with out having to leave home. This is just a reminder...

Honestly I've never had any magic skill other than destruction reach lvl 40+.