Many of the gifted children at my school struggle with social interactions with peers.
Do the gifted children at your school really struggle with social interaction with
peers, or do they struggle with social interaction with children who differ greatly from them in knowledge, interests, and abilities? Kids who struggle with social interaction with actual peers might have some 2E issues going on. Being gifted doesn't preclude having Asperger's, ADHD, NVLD, prosopagnosia, or other disabilities that can make it hard to navigate social situations.
If it is that they struggle with social interaction with children who are very different from them, I would look carefully at what you are hoping to see, and ask yourself if it is really reasonable. Schools vary a great deal in what their expectations of "good social skills" for gifted kids look like.
It is reasonable to expect that gifted kids won't insult the other kids and will treat them with respect, (as long as the other kids aren't bullying or harassing the gifted kids first, and are expected to treat the gifted kids with respect, too.) It is not reasonable to expect that gifted kids will stop reading advanced books, using high-level vocabulary, or asking penetrating questions in class; if doing such things hurts their social relationships or makes them targets for bullying, this is a good indication that they are not in a class of their academic peers, and they should be placed in a class with other children working at their level so they don't have to dumb themselves down to get along.
It is reasonable to expect gifted children to engage in some quiet activity, such as reading or drawing or origami at their desks, or to quietly excuse themselves to go to the gifted resource room to work on independent projects when they are finished with their work, to refrain from disrupting the classroom while others are still working. It is not reasonable to expect that they will sit quietly at their desks with nothing to do, or that they will accept having to do additional work without complaint (particularly if it is boring, low-level work, at least from their perspective).
It is probably not reasonable to expect or require gifted kids, particularly highly gifted kids, to form strong friendships with people who don't share their interests and who who can't get their jokes. It is not "teaching good social skills" to expect gifted kids to be miserable and give up who they are and what they enjoy to make others comfortable.
This is probably not what you were looking for. Sorry. [/rant]
