<p>First thing is there are a bunch of different math programs. Some aim at having fun with math( kinda like a camp with math), others focus on competition math(improve your amc score) and then others focus on basically taking a course and working on math only during the summer(math program). There is also a large differences between programs within these groups based on rigorousness. I’d say that if your daughter goes to the first type of program she will have fun and enjoy math, but probably not learn a ton(in comparison to the other two at least). If you send her to one of the latter two types she probably will be average, although I have no idea how talented your daughter is. There will be students who have come close to IMO, skipped grades, and nearly finished undergraduate math in high school. This is not a bad thing in my opinion because if she wants to go to a top college there will probably be people ahead of her. If she loses her love for math at a summer program then it is likely she would of lost it early in college anyway. This will at least give you a better look at what you really want to do in the future. I went in to a math program with a similar scenario where I was the best at math in my school, but at the program I was fairly average. This was the first time I had to push myself in math and actually work hard to do well. This was definitely a good preparation for college as well. I was no longer special, but I think it was a good thing. People instantly connect over their interests and I think you will find that your daughter will make better friends because of the fact that she isn’t unique in her math interest. As mentioned previously your daughter would make friends from around the country (maybe the world), and most likely have counselors at top universities that can help to advise and give insight into the institutions. These math programs really allow you to enter the math community unlike anything else in high school. I strongly recommend attending a camp or program. It was most certainly one of the best experiences in my life.</p>