foster
ˈfɒstə
verb
encourage the development of (something, especially something desirable).
the teacher’s task is to foster learning
encourage,promote,further,stimulate,advance,forward,cultivate,nurture,strengthen,enrich,help,aid,abet,assist,contribute to,support,endorse,champion,speak for,proselytize,sponsor,espouse,uphold,back,boost,give backing to,facilitate