Hi Andrew
to All Things Plants from me too!
In nature, E. aureum ("Devil's Ivy", "Pothos") grows in bright, filtered light beneath the canopy of trees, using the tree for support, it climbs the tree to reach higher light. The leaves get really huge as the plant gets higher in the canopy. Direct sun will burn the leaves so it's best to keep the plant in bright light but without any direct sun hitting the leaves. When grown in water, you should change the water every week or so to keep it from becoming stagnant. The whitish, greenish roots are probably newer growth roots. The brown roots could possibly be rotted; are they soft, and kinda mushy? If so, they should be removed. I used to grow Pothos in vases of water but only have it potted in soil now. These are older photos:
2009 ......................................................... 2011