A method for displaying pieces of visual information as a function of a spatial orientation of a portable device equipped with a first sensor for detecting orientation information and with an acceleration sensor, includes: estimating the spatial orientation based on the orientation information; ascertaining, based on sensor measurement data of the acceleration sensor, whether the device is in an idle phase or a movement phase; ascertaining an error of the estimation based on the orientation estimation ascertained in the idle phase and on the sensor measurement data of the acceleration sensor detected in the idle phase; using the orientation estimation unchanged in the idle phase for the display; successively correcting the error for the orientation estimation in a subsequent movement phase; and using the corrected estimation for the display in the movement phase.