the invention relates to a self - propelled construction machine , in particular a road milling machine or a slipform paver , which can carry out translational and / or rotational movements for a planned project on a terrain . in addition , the invention relates to a method for visualizing the working environment of a construction machine moving on the terrain , in particular a road milling machine or a slipform paver . the construction machine comprises an image recording unit for recording an image segment of the terrain located in a coordinate system dependent on the position and orientation of the construction machine on the terrain , and a display unit for displaying the image segment of the terrain . moreover , the construction machine comprises a data processing unit which is configured in such a way that a depiction of a part of the project located in the image segment is superimposed on the image segment of the terrain displayed on the display unit , such that the project is visualized in the image segment . the display unit thus displays not only the actual image segment , but also a virtual image of the project , thus widening the perception of the machine operator . as a result , the machine operator can identify on the display unit whether the project forming the basis of the control matches the reality .