I don't think they're different, infact schooling is a subset of education. Now let me explain it this way, when you talk about schooling you're referring to formal education, the age old concept of a classroom, a teacher and students. Whereas education is much broader than that.
Education encompasses both the formal and none formal and informal types. None formal education is a type of education that lacks the kind of organisational and curriculum based structure of formal education (schooling) but is more structured than informal education. Some examples of this are swimming classes, seminars, community based sports programs etc.
As for informal education, I could say that musing itself is a source of informal education because with informal education there is no structure whatsoever and what you learn is usually spontaneous and sporadic and unplanned most times.
I believe schooling and education are the same thing, the only thing I will say is that schooling is education in a more formal setting.