In a Dutch oven, parboil the carrots. Be careful not to over cook as the carrots will continue to cook during the glazing process. Drain the carrots and return to the Dutch oven.
Over medium heat, add butter and stir until melted. Mix in the brown sugar and continue to stir until well combined.
Cook, stirring occasionally until most of the liquid is evaporated and the carrots are well glazed. Toward the end, you will need to stir constantly. These are best if they get a slight browning, but be careful not to let them burn.