1. A data processing apparatus with improved icon display, comprising: a display portion with an input device arranged thereon; a pen means for touching the display portion to input information; means for detecting when and where said pen means touches said display portion; means for displaying at least one icon on the display portion; means for providing an icon processing display mode window corresponding to said icon displayed on said display portion; and means for displaying the icon processing display mode window by first touching said icon on said display portion with said pen means, then dragging the pen means across the display portion to a location at which the icon processing display mode window is to be displayed, and then lifting the pen means away from the display portion at which time the window is then displayed.