I thought I'd share a few links with info about gifted toddlers:
http://shine.yahoo.com/parenting/10-...d-2500544.html - very brief description of things to look for
http://voices.yahoo.com/5-developmen...02.html?cat=25 - This is also an ok summary. But, not all gifted toddlers through tantrums. My ds could express himself very well very early on, so that stopped most tantrums. Then he got olde rand more frustrated. He still throw tantrums now at 6 at times. grr!
http://www.giftsforlearning.com/traits.htm - I disagree with the point that gifted kids all sleep less. It's simply not the case, but it definitely can be.
http://giftedkids.about.com/od/gifte...ftedtraits.htm - a good summary
Then if you are talking about slightly older children this list is REALLY helpful - http://presentlygifted.org/2012/08/2...ifted-learner/