I paid half my tuition since I work part time and my parents another portion, who should claim education expenses? I’m listed as a dependent already under my parents.

[xmasbaby0]

Dependents cannot get education credits.   If you can be claimed as a dependent on your parents' return, they are the ones who can enter the education credit.

[Hal_Al]

As the other reply said, the education credit follows your dependency. 

Furthermore, the education credit is 60% non-refundable, so your parents are more likely to get a bigger credit than you would. 

Furthermore, a full time unmarried student, under age 24, even if you don't qualify as a dependent, is only eligible for the refundable portion of the American Opportunity Credit if he supports himself by working. You cannot be supporting yourself on parental support, 529 plans or student loans & grants.

It is usually best if the parent claims that credit.