For use with prefabricated pool wall panels that have a top flange extending outwardly from the pool cavity to attach a coping layer, an extender strip attachable to the top flange increases the effective width of coping support. The extender strips have a curvature conforming to the curvature of the wall panel. The extender strip includes a flat portion for supporting a coping layer and a flange portion adjacent the outside perimeter of the strip. The strip can be attached to the wall panel with the flange portion facing up or down, depending on the nature of the coping layer. The structure may also include horizontal support brackets and vertical support braces.