A stay-in-place concrete form includes masonry shells layered with rigid insulation tied with plastic cross tie assemblies. The masonry shells can be connected with plastic dovetail connectors that compensate for the variation in height of the shells. This allows for the shells, together with the connectors, to be a consistent height and allows for dry stacking. The masonry shells can be bonded together with a layer of lightweight concrete poured in a cavity behind the masonry shells and/or bonded together by mortar joints. This dry stacking method can result in labor time and training savings over conventional masonry mortar construction.