The above-the-line deduction for tuition and fees for higher education can be claimed by a taxpayer only for him/herself, spouse, or dependent. If your grandchild is your dependent, then you qualify for the deduction. For gift tax purposes, payments of tuition directly to an educational institution are exempt from gift tax, regardless of amount.
A tax triggered if certain tax benefits reduce your regular income tax below the tax computed on Form 6251 for AMT purposes.