Here's what I think, the CoGAT is usually less reliable than the WISC, but in this case I'm suspicious that the WISC is an underestimate of her abilities, based on
-But even when she is in the livingroom, she is eyebrows deep in a book.
-She has also mentioned that the other girls in class want to talk about "dumb kiddy" stuff.
-But my DD has no friends at school, she sits alone and reads durring lunch.
-She then asked me if I ever thought about asking the school to advance her in math.
-We have always been told, by every teacher she has had since Kindergarten that she should be moved forward/advanced.
I'm not sure exactly what this last quote refers to - is it 'she doesn't need to be held back' or 'she needs something more advanced than other kids her age.'
I agree that the first step is to set up a meeting with the teacher and listen to what the teacher is seeing. I think it's the role of the parents at this age to bring reports of the child's emotional state to the school. I think that the teacher will be concerned. The teacher may have a much different story, and it will be hard to know what is going on, but I would suggest that you set up a time to observe the classroom for yourself and see if the other girls are actually functioning on such a wildly different level or if your daughter needs some help with social skills. I would also try and observe a classroom one and two grades up so you could get an idea of what sorts of thinking level the older kids have.
If you are interested in evaluating if a grade skip might help, then I would recommend you read the 'Iowa Acceleration Scale Manual.'
see
http://www.hoagiesgifted.org/iowa_accel_scale.htmHow long ago was the WISC done? Was it done for a particular reason? It seems to me that something isn't going well for your daughter, but it's hard to know at this point if the problem is giftedness or something else. A Developmental Pediatrician might be the sort of specialist who might be able to help.
I'm picking up a hint of dis-satisfation about the one to one therapist - it's a little odd that she things things are so much better and your DD still doesn't have anyone to eat lunch with. Of course, I don't know how things were before....
Love and More Love,
Grinity