Provided is a method of producing isolated graphene sheets directly from a carbon/graphite precursor. The method comprises: (a) providing a mass of aromatic molecules wherein the aromatic molecules are selected from petroleum heavy oil or pitch, coal tar pitch, a polynuclear hydrocarbon, or a combination thereof; (b) heat treating this mass and using chemical or mechanical means to form graphene domains dispersed in a disordered matrix of carbon or hydrocarbon molecules, wherein the graphene domains are each composed of from 1 to 30 planes of hexagonal carbon atoms or fused aromatic rings having a length or width from 5 nm to 20 μm and an inter-graphene space between two planes of hexagonal carbon atoms or fused aromatic rings no less than 0.4 nm; and (c) separating and isolating the planes of hexagonal carbon atoms or fused aromatic rings to recover graphene sheets from the disordered matrix.