We've wandered from the parent perspective part. So, I will add some in that direction.

...when you have to engage in continuing education just to keep up with your kids

...when you finally figured out an actual use for those SAT words. They were designed to help parents of gifted kids talk to each other without the kids understanding. (Then, you hear your kids start using those SAT words.)

...you have a regular look that expresses "Yes, I know that answer/interest/whatever is unusual for anyone, and especially for someone her age, but that's just who she is. Gotta love it!"

...when you are always skeptical about other people saying a kid is smart because their definition of smart and your definition of smart are two drastically different things.

...when you think the minimum age on a toy is the maximum age.

...when you have NO IDEA what to buy other kids for their birthdays and you can't let your kid pick either.

...when you have to make back up plans for your daughters slumber party because you don't know how long the other little girls will be entertained by your daughter favorite movie, "Gifted Hands"