The Dual REAdout Method (DREAM) consists in comparing the
scintillation and Cherenkov light generated in the shower development process. By comparing the two, the electromagnetic fraction of the hadronic shower can be
measured event-by-event, to eliminate the effects of fluctuations in this fraction. In this paper the DREAM fiber calorimeter and its successor, the newDREAM
prototype that is currently under construction, will be described. We will also report on the efforts to study the Cherenkov component of the output of high-Z crystals and to realize a dual-readout electromagnetic section that can achieve outstanding electromagnetic resolution whitout compromising the hadronic resolution