A screeding apparatus for screeding and smoothing an uncured concrete surface includes a vibrating member and a grade setting device adjustably mounted to said vibrating member. The screeding apparatus may include a wheeled support which at least partially supports the vibrating member and/or the grade setting device. The grade setting device is vertically adjustable, such as via a laser plane responsive control system, to set or indicate the desired grade of the concrete surface as the screeding apparatus is moved over and through the uncured concrete. The level of the screeding apparatus may be automatically adjustable to maintain a desired level and angle of attack of the vibrating member. The vibrating member may be activated only when the screeding apparatus is moved in a screeding direction so as to reduce depressions that otherwise may occur if the vibrating member vibrates on the uncured concrete when not moving.