It is similar to programming or software in that it involves both skills and knowledge. But the knowledge doe not quickly become obsolete. If you think about it, just about every activity involves both knowledge and skill. There are also different depths to knowledge. The knowledge required to be functional in a field may not be the same level of knowledge required to advance that field.
I think there are skill and knowledge components to math—skill at manipulating equations, knowledge of theorems and identities. These play into each other, of course.