It's a nomenclature issue. Dioxolane tends to refer to the ring in isolation, where methylene dioxy is what people use to refer to the functional group in the context of a larger molecule.So, your saying Methylene dioxy and Dioxolane are the same thing ?
It is synonymous to calling a methoxy a methyl ether, or a phenyl group a benzene group. They both have the same meaning but imply a different context.