Do the Careers only train in fighting o do they learn other stuff as well?

I'd have thought that learning survival skills, e.g. hunting, making a shelter, signs for water and edible food, would be useful too. But Katniss, from her thoughts about her plan to destroy their supplies, seems to assume they know nothing of this. And it'd also make sense for them to study the different arenas used in the past, their particular dangers and benefits, the mutts and other threats used.