the opening and extend over the surface of the transverse member sections 116 a 116 b as for example shown in fig 6 in this regard the transverse member sections adhere to the subsurface or floor and the tiles get adhered to the transverse member consequently the tile end portions 131 a 131 b which extend over the transverse member sections 116 a 116 b respectively get proper support thereby reducing the risk of cracking crumbling and separating from the subsurface in an exemplary embodiment an upper surface 126 of the wedge 112 is tapered downwards and includes teeth 150 each of these teeth is defined by a vertical surface 152 or riser and an obliquely extending surface 154 from the top of the vertical surface 152 in the same general direction as the upper surface 126 of the wedge in this regard these teeth latch on to the upper edge of the opening when the wedge is inserted into the opening 118 thereby preventing the wedge from inadvertently slipping out of the opening 118 in the exemplary embodiment shown a center portion of the wedge is hollow defining two opposing edges the teeth are formed on these opposing edges in an exemplary embodiment adhesive is applied to the subsurface of where tiles are to be adhered and is also applied to the undersurface of a first tile as the tile is being placed on the subsurface with the adhesive an exemplary embodiment leveling and spacing device is positioned such that the tile undersurface sits on top of the transverse.