A multilayer flooring panel for flooring and the like has a cementitious top surface, a lower density intermediate layer preferably incorporating expanded polymeric beads mixed with cement, and a lower layer reinforced by tension-bearing fibers embedded therein. The interface between the top and middle layers may be upwardly domed to reduce the tendency for cracks to form in the bottom surface of the top layer. Channels formed along the edges of such tiles allow insertion of heat transfer tubing to provide a hydronic floor surface. A flooring panel may have cementitious top and bottom surfaces with an intermediate lower density layer there between. Such intermediate layer may be divided into two portions by a water impervious layer that serves as a binder and vapor barrier. Flooring panels provided with shiplap joints along the edges are laid-out on a prepared surface on mortar pads positioned along edges and corners of the tiles to provide flooring, leaving a continuous under air space which may be ventilated to remove moisture; soil gases and radon gas.