Source : Webster's Revised Unabridged Dictionary (1913)

Encouraging \En*cour"a*ging\, a.
   Furnishing ground to hope; inspiriting; favoring. --
   {En*cour"a*ging*ly}, adv.

Source : WordNet®

encouragingly
     adv : in an encouraging manner; "`Go on,' he said encouragingly to
           his student" [ant: {discouragingly}]