We used the same strategy others have mentioned before me about how everyone has things to offer, and how some are ahead of her in other ways. In addition, we told her how declaring herself "smart" was meaningless, because nearly everyone thinks of themselves as being smart, to some degree. 85% of the people you ask will identify themselves as at least "above average," which is a mathematical impossibility. So, telling someone that you're smart conveys nothing. You might as well say, "I breathe!"

Truly intelligent people never have to advertise, I told her. Just be yourself, and people will notice. This message has been brought to you by the kid who always got freaky stares on the playground for using "big words."