Method and shaft furnace for burning carbon-containing material in a shaft furnace

A shaft furnace for firing carbonate-containing material may include, in a flow direction of the material, a preheating zone, a firing zone, a cooling zone, and a material outlet for discharging the material from the shaft furnace. Burner lances project into the firing zone. At least one burner lance has a first penetration depth into the firing zone and at least one further burner lance has a second penetration depth into the firing zone that is greater than the first penetration depth. A primary air conduit may be configured to convey combustion air and may be connected to at least one burner lance. An oxygen conduit for conveying oxygen into the firing zone may be arranged such that oxygen flows from the oxygen conduit at least one burner lance having the second penetration depth.