I think that some kids (gifted or not) respond to frustration with tantrums.
The question is whether or not he is frustrated about something related to giftedness or is something else going on?
From observing my own kids, I would say that difficult behavior (which can include tantrums) often precedes a developmental leap. I'm not sure why...if it's frustration or just that their mental (and physical) resources are being taxed while they master something new.
I try to pay extra attention to making sure they have adequate rest and nutrition as well as cuddling and attention (but still using consistent discipline) during these times. These phases usually last a few weeks and then begin to fade.
