Compact low NOx gas burner apparatus and methods for discharging fuel gas and air mixtures into furnace spaces wherein the mixture is burned in folded flame patterns and flue gases having low NOx content are formed are provided. A burner apparatus of the invention is basically comprised of a housing having a burner tile attached thereto and means for introducing air therein. The burner tile has an opening therein with a wall surrounding the opening which extends into a furnace space. The exterior sides of the wall are divided into sections by radially positioned baffles with alternate sections having the same or different heights and slanting towards the opening at the same or different angles. Primary fuel gas mixed with flue gases and air is discharged through the burner tile. Secondary fuel gas is discharged adjacent to the external slanted wall sections whereby the secondary fuel gas mixes with flue gases in the furnace space. The resulting fuel gas-flue gases streams mix with the fuel gas-flue gases-air mixture discharged through the burner tile and the resulting mixture is burned in the furnace space.