Allow the social interaction, and for your child to complete the coursework as per the curriculum. At your first parent-teacher conference, if your child is truly ahead of the curriculum, and earning perfect scores and breezing through lessons, ask the teacher about their gifted program. I have a niece who at the end of Kindergarten had been tested and allowed into the school's gifted program for 1st grade. She didn't skip any grades, but she was pulled out for gifted classes and given advanced course work that was at least a grade level above her current grade.
Mind you, it's common for children to be ahead of their peers at this age--especially if they attended a good preschool. But, it's been shown that more often than not, by the time these "advanced" children reach middle school, they pretty much even out with their "lagging" peers. Some continue to excel, but the numbers are vastly different.
at 7:28 PM on Jun. 7, 2010