In displaying a map on a wireless communications device, a method is provided that resolves labelling of sharp curves. The method entails a determination of whether a curvature of a map element associated with the map feature exceeds a predetermined threshold (e.g. whether a rate of change in slope of a path or the change in angular orientation of each successive character in the label exceeds a threshold that is a function of zoom level. If the curvature exceeds the threshold, the label is rendered on the map in a new map location that avoids the map location where the curvature exceeds the threshold.