<p>See the last sentence of UMTYMP’s post. When choosing a camp, find one that fits you and will give you the kind of experience you’re looking for. Some things to consider:
- Personality of the camp. This is hard to describe, but read the camps’ websites and you’ll start to see what I mean.
- Topics. Ross/PROMYS do exclusively number theory. SUMaC does group theory or topology. HCSSiM and Mathcamp have a variety of things available. What are you interested in? Are you looking to learn the foundations of higher math, improve your contest performance, or just see some cool stuff?
- Logistics. Where is the camp? How long is it? What are the living arrangements? How much does it cost?
- How intense do you want to be? I’m told that Ross counselors will kindle their wrath against you if you don’t do enough math. SUMaC counselors, for example, do the opposite–encourage you to take breaks from your math lest you burn yourself out.</p>