Unfortunately, for whatever reason, you picked up a completely inaccurate impression. Caltech is theoretical to the point of disregarding many practical applications in many fields.
Theoretical math is hugely important, popular, and a major department within the Physics, Math, and Astronomy division. Personally, I found Caltech to be far too theoretical for my own liking, as a former aerospace engineer.
It's true that, at least in the engineering department, Caltech isn't that hands-on. But I learned the hands on at work at Boeing, and it was backed up by solid theoretical knowledge, which was lacking in a lot of the other engineers. So I think it's the better approach.
Good point. I just didn't make it that far :) For further expansion of the point, Caltech teaches you how to learn in a rigorous, rather than piecemeal, fashion, which if you are still filled with passion for your chosen path, gives you the chance to be extremely technically successful. Rather than learning 'tricks' that build into experience-based knowledge, you have a full framework that new knowledge gets slotted into as you acquire it.
Theoretical math is hugely important, popular, and a major department within the Physics, Math, and Astronomy division. Personally, I found Caltech to be far too theoretical for my own liking, as a former aerospace engineer.