If you really want to learn to arena, find some interested friends, try to cobble together something that complements well and start losing a lot of games.
As far as I can tell Frost Mage revolves around throwing out Nova and Polymorph to the point where you can Mirror Image/Elemental and shit all over a guy when he's truly boned. Also knowing when to blink and how to get just far away enough to pop a clutch Glyphed Evocation.
Frost is pretty low on the burst as Sir Bird says but the unrivaled control is why you went Frost in the first place. That Mirror/Elemental firing squad made me cry when I was bad Arms.
Alternatively, go Arcane and go retardo all-dps with a friend. This is not a bad way to generate "free" points from 10 games a week in 2s. Or any bracket really, but it works best in 2s. All you have to do is coordinate with your friend which visible target to WoTLK first. (WoTLK = The name of the expansion, or to retardo burst/aoe something down.)
Note that Arena is easier to get into than it looks. Unless you are entirely unhelpable, you will get better by sheer experience and you will get better tiers of gear as early as 800 rating. And you can't lose rating until you're close to 1000, so.
It's something like Deadly for Honor, 800-1350(Furious), Triumphs(Furious) and from 1250 you can buy Relentless off-pieces for Honor. Weapons are 1800. A win before 1200 will put you 40 points higher.
Like when me and Wiseman tried retardo double DPS with me as Prot and won 8 times that week, we went from 800 to 1200 easy. I grabbed Furious legs on Tuesday.