Method for shifting, in particular engaging and/or disengaging, gearspeeds of an automated step-by-step variable-speed transmission of a motor vehicle, wherein the transmission has a drive shaft (18) which can be connected to an engine output shaft (16) via a friction clutch (12) which acts as a clutch (12), and an output shaft (20) which is coupled to a drive gear or drive gears of the motor vehicle, wherein a shifting process takes place in particular only as a function of rotational speeds (n) of the shafts, wherein each gearspeed is assigned a synchronizing device (36) which acts as a shifting clutch, in order to connect the drive shaft (18) to the output shaft (20), having the following steps: positioning of the clutch (12) in a drag position such that a low, preferably predefined, drag torque is transmitted from the engine output shaft (16) to the drive shaft (18), which drive torque is sufficient to adjust a rotational speed (nAN) of the drive shaft (18) with the shifting clutch (36) opened to a rotational speed (nM) of the engine output shaft (16); setting of the rotational speed of the engine output shaft (16) to a predetermined value (LL) which differs sufficiently both from a rotational speed of a source gearspeed as well as from a rotational speed of a target gearspeed; positioning of the shifting clutch (36) of the source gearspeed in the direction of an opened position in order to separate the drive shaft (18) and output shaft (20) from one another; sensing of the rotational speed (nAN) of the drive shaft for a predetermined time period which at least followsa time (t1) when the shifting clutch (36) of the source gearspeed is in the opened position; determination of a change in the rotational speed (nAN) of the drive shaft (18) during the predetermined time period; and determination whether the change which is determined in this way is within predetermined tolerances of an anticipated change in rotational speed.