Phase-change and resistance-change random access memory devices are provided which include a phase-change or resistance-change memory cell array and a sense amplifier that is configured to amplify data read from the phase-change memory cell array. These random access memory devices are configured to read data from a first word line of the phase-change or resistance-change memory cell array and to insert a dummy burst in which no data is read when a first boundary crossing occurs during a burst mode operation. Related methods of operating phase-change and/or resistance-change random access memory devices in burst mode are also provided.