A paver, in particular a slipform paver, has a machine frame supported by front and rear undercarriages and a paving device for the paving of material. The paver is provided with an apron monitoring device for generating elevation profile data or elevation profile signals describing the elevation profile of the material deposited in the apron of the paving device in a direction transverse to the working direction. A data or signal processing device receives the elevation profile data or signals. The apron monitoring device provides the data needed to allow the material to be spread more evenly across the working width of the paver during the feeding operation by means of a spreading device for spreading the material to be paved in a direction transverse to the working direction and/or to allow the spreading device to be controlled for improved spreading of the material after the paver has been fed.