Singular they seems to be the general approach that people are moving towards. It's now accepted in AP style under some circumstances--the some circumstances being basically if you can't figure out a way to cleanly write around it. And AP style is one of the stylebooks a lot of organizations look to for their own house styles.

He/she has always been pretty awkward and silly. But in the eyes of at least some people, it also has the failing that even after all that it still assumes binary genders.