An insulated concrete wall is constructed by securing at least one tie assembly (14) to a panel (12) of insulative material, securing the tie assembly and panel to a pair of spaced forms (60, 68), and pouring concrete into an open space defined by the forms adjacent the panel. The concrete is then allowed to set, and the forms are removed. The tie assembly (14) includes an elongated tie (16) having a central region (24) adapted to remain in place in the wall subsequent to construction and a pair of opposing end regions (26, 28) adapted to be detached after removal of the forms. In addition, the assembly (14) includes an elongated retainer body (18) formed of heat insulative material and received on the tie (16), and a pair of face plates (20, 22) retained on the body on either side of the panel (12).