Source : Webster's Revised Unabridged Dictionary (1913)

Constructively \Con*struct"ive*ly\, adv.
   In a constructive manner; by construction or inference.

         A neutral must have notice of a blockade, either
         actually by a formal information, or constructively by
         notice to his government.                --Kent.

Source : WordNet®

constructively
     adv : in a constructive manner; "it is my task to look critically
           and constructively at the flaws and the failures"