Refractory checker brick modules for glass furnace regenerators are provided which include multiple preformed refractory checker bricks (e.g., tubular checker bricks, cruciform checker bricks, interweave checker bricks, interlock checker bricks, pigeon-hole checker bricks, basket weave checker bricks and the like) stacked in multiple off-set courses to form a honeycomb structure thereof, the checker bricks in the module being bonded to one another by a bonding agent.