In our experience, true challenge negates DS7's desire/need to announce how smart he is.
In K, when he had a teacher who challenged him, DS7 didn't brag (to anyone). In 1st grade, when there was no differentiation and a teacher who didn't "get" him, DS7 talked a lot about how he was the smartest boy in the class...to everyone. I was appalled.

Because the fit was so bad in 1st grade, we started homeschooling, and the bragging stopped immediately once I gave him challenging work. Even when he plays with the very same kids that he played with last year at school, and even though he knows that the reason we're homeschooling is because he is bright, he doesn't feel the need to talk about his intelligence at all.
Coincidence? I think not!
