Heat the oil in a large skillet over medium heat. Add the carrots, and stir to coat them with the oil. Sauté them for about 4 minutes until they begin to get tender.
Meanwhile, in a measuring cup or small bowl, combine the orange juice, lemon juice, honey, and ginger. Pour the mixture over the carrots, bring it to a boil, and allow it to simmer for about 3 minutes.
Cover the carrots, reduce the heat to keep them at a simmer, and steam them for about 5 minutes until they are tender. Sprinkle them liberally with the dill (optional) before serving.
Slow Cooker Directions
Place all ingredients, except the dill in the slow cooker and cook on low for 7 – 8 hours or on high for 4 - 5 hours. Sprinkle them liberally with the dill, if desired, before serving.