Would I be able to do this with AT&T Next?

Sometime this week I'll be going to the At&t store, but I figured I'd ask on here incase anyone knows. So about 2 months ago my phone broke. I had a 2 year contract on a family plan but my mom had canceled that because we were paying too much (it was $400 a month for only 4 people on the plan) So we decided to get individual service. I'm not sure what it's called but it's basically they give you a simcard and you get unlimited talk, text, and web for $50 a month. But since I no longer have a phone I'm obviously not included in that. I was reading online about At&t next and was interested in doing that. Basically long story short, I plan on getting an iPhone 5, and then they add $27 to the bill every month to pay the phone off. So would I be able to do that, seeing as I don't have a contract?

You can only use ATT Next if you have a contract.

Without a contract you can't use Next.