Displaying a map on a wireless communications device includes steps of obtaining map data for rendering the map to be displayed on the wireless communications device, determining a rotation that, when applied to the map, will orient a selected path in a selected direction, such as a current direction of travel, generating a corrected rotation by applying a spherical correction factor, e.g. based on a current location, and rendering the map on a display of the wireless communications device by applying the corrected rotation. The spherical correction factor corrects for map distortions that occur at high latitudes for paths that are neither purely north-south or east-west. When such a path is rotated to face upward to show direction of travel, the path needs to be straightened by applying the spherical correction factor.