DD is 5 and excels in reading (she reads at about a 5th or 6th grade level) and verbal skills (we haven't done testing, I have no idea if she's "gifted" or not, but this seemed like the best place for this question). She is very hesitant to do things that she doesn't understand or suspects she'll answer wrong (math, a challenging puzzle, bike riding, whatever). She consistently wants to stick only with things she knows and feels confident about. She's an anxious kid all around and it really comes out here. She gets flustered, reacts and shuts down. It's hard for her to stick with things and work them out. We were talking about it today and she said that when she doesn't know something or gets something wrong it makes her feel "like it's a game and I lost. It feels bad inside".
I was a gifted kid and really struggled with this. I told her about several courses in college that I wish I had taken just because the subject matter is interesting, but didn't because I worried that I wouldn't do super well in it. I talked about my regret and how as an adult I've worked really hard at wanting to be a curious learner, instead of just knowing the answers. I have been learning guitar this year and she's seen me struggle with it but enjoy the process.
Since I know I didn't sort this out as a kid, I'm wondering how to support her growth in this area. Any advice/ideas?