Wow, I thought that you were talking about my dd9 when I read your title. I just had that same conversation with her yesterday. She's terrible at everything according to her. In her instance, I think that part of the problem is that she is the youngest in the family and is always comparing herself to me and her very high achieving older sister.
She was very upset that I think that she is bright and kept trying to get me to "admit" that she is really stupid. We had a discussion about the difference between being bright/having potential/having a gift and high achievement. I told her that gifted means potential and a different way of looking at things and the world, but that it does not mean that you are good at everything with no work. From there, we went into a discussion of how being talented means that you took that potential and worked hard enough to develop a talent out of it.
I don't know that I got through to her, but I am of course going to keep trying. I'll keep an eye on other suggestions on this thread as well
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