GO:0060376

Any process that increases the rate, frequency or extent of mast cell differentiation, the process in which a relatively unspecialized myeloid precursor cell acquires the specialized features of a mast cell. A mast cell is a cell that is found in almost all tissues containing numerous basophilic granules and capable of releasing large amounts of histamine and heparin upon activation. [GOC:dph, GOC:tb]