The Collaborative International Dictionary of English v.0.48:
Encouraging \En*cour"a*ging\, a. Furnishing ground to hope; inspiriting; favoring. -- En*cour"a*ging*ly, adv. [1913 Webster]WordNet (r) 3.0 (2006):
encouragingly adv 1: in an encouraging manner; "`Go on,' he said encouragingly to his student" [ant: discouragingly]