A process for producing foamed concrete includes introducing air pores into aqueous concrete compositions by one or more air pore formers and/or by introducing air. The aqueous concrete compositions are based on one or more foam stabilizers, one or more protective colloid-stabilized polymers of ethylenically unsaturated monomers in the form of aqueous dispersions or water-redispersible powders, 30% to 95% by weight of cement, based on the dry weight of the components for production of the concrete compositions, optionally one or more fillers, and optionally one or more additives.