A concrete screeding device for screeding uncured concrete placed at a support surface, said concrete screeding device comprising: a base structure positionable at a selected location of a surface to be screeded; a rotating base rotatably mounted to said base structure and rotatable 360 degrees about a vertical axis relative to said base structure via a first rotating device; an articulating boom comprising (i) a first boom section that is pivotally mounted at said rotating base and pivotable about a first horizontal pivot axis via a first actuator, (ii) a second boom section pivotally mounted at a distal end of said first boom section and pivotable about a second horizontal pivot axis via a second actuator, and (iii) a screed head support pivotally mounted at a distal end of said second boom section and pivotable about a third horizontal pivot axis via a third actuator; a screed head rotatably mounted at a distal end of said screed head support, wherein said screed head is rotatable 360 degrees about a vertical axis via a second rotating device; wherein said screed head includes a pair of laser receivers and, responsive to a laser plane generated at the support surface, said screed head adjusts a level of a grade setting device or plow of said screed head; characterized in that the boom sections include angle sensors and/or the actuators include extension/retraction sensors such that the concrete screeding device is operable to determine the orientation and angles of the boom sections throughout their ranges of motions relative to each other and to the base structure; a control, wherein the control and sensors are operable to cooperatively control said first rotating device, said first actuator, said second actuator, and said second rotating device to move said screed head over and along the concrete surface so as to screed a region of the support surface at or near said base structure; and wherein, during a screeding pass of said screed head, (i) said control and the laser receivers cooperatively control said first rotating device, said first actuator and said second actuator to adjust pivoting of the boom sections to move said screed head over the concrete surface while maintaining said screed head at a selected level, and (ii) said sensors assist in maintaining the screed head in the desired or appropriate orientation. a base structure positionable at a selected location of a surface to be screeded; a rotating base rotatably mounted to said base structure and rotatable 360 degrees about a vertical axis relative to said base structure via a first rotating device; an articulating boom comprising (i) a first boom section that is pivotally mounted at said rotating base and pivotable about a first horizontal pivot axis via a first actuator, (ii) a second boom section pivotally mounted at a distal end of said first boom section and pivotable about a second horizontal pivot axis via a second actuator, and (iii) a screed head support pivotally mounted at a distal end of said second boom section and pivotable about a third horizontal pivot axis via a third actuator; a screed head rotatably mounted at a distal end of said screed head support, wherein said screed head is rotatable 360 degrees about a vertical axis via a second rotating device; wherein said screed head includes a pair of laser receivers and, responsive to a laser plane generated at the support surface, said screed head adjusts a level of a grade setting device or plow of said screed head; characterized in that the boom sections include angle sensors and/or the actuators include extension/retraction sensors such that the concrete screeding device is operable to determine the orientation and angles of the boom sections throughout their ranges of motions relative to each other and to the base structure; a control, wherein the control and sensors are operable to cooperatively control said first rotating device, said first actuator, said second actuator, and said second rotating device to move said screed head over and along the concrete surface so as to screed a region of the support surface at or near said base structure; and wherein, during a screeding pass of said screed head, (i) said control and the laser receivers cooperatively control said first rotating device, said first actuator and said second actuator to adjust pivoting of the boom sections to move said screed head over the concrete surface while maintaining said screed head at a selected level, and (ii) said sensors assist in maintaining the screed head in the desired or appropriate orientation.