ice dams are caused by warmer air in your attic melting snow and then it refreezes over the eaves. To stop them, you need to a) stop the warm air escaping your living spaces, b) improve ventilation to maintain cold attic air
The water at your siding is caused the melted snow running back along your soffit, possibly inside the attic and down the wall.
They are a bitch. Especially when your gutters freeze solid.
One option is heat tape
http://www.qcidirect.com/roof-heat-c...FSUS7Aod1GQASw