Can I claim the purchase of school supplies, which include a computer, for public homeschooling my child where an actual teacher will help him via the computer? Would it allow 2 for 2 children?

[Daniellagil13]

It would be an online public school.

[AnnetteB6]

Unfortunately no, there is not a provision on the Federal tax return to be able to deduct any expenses related to primary education expenses. 

The education tax benefits are all related to attending secondary education institutions (colleges, technical schools).

[xmasbaby0]

EDUCATION EXPENSES

Education expenses for grades K-12 are not deductible on your Federal return, whether for private, public, or home schooling, nor are the expenses for tutoring, after school lessons or after school activities, such as dance lessons, sports, etc.  Some states allow deductions/credits for K-12 education and/or home schooling expenses; if your state has these deductions available, you will be prompted to enter them when you prepare your state return.  (As far as I know, the states that offer any sort of K-12 deductions/credits are Arizona,  Illinois, Indiana, Iowa,Louisiana, Minnesota, and Wisconsin)