Preheat oven to 400°F.
Peel the carrots and cut them into 1-inch pieces. Cut the end pieces and any carrots thicker than 1 inch lengthwise so all the pieces are roughly the same size.
Place the carrots on a baking sheet and add olive oil, salt, and pepper. Use your hands to toss the carrots to coat them with the oil and space them evenly on the baking sheet.
Roast for 20 – 30 minutes, stirring once half-way through.
Let the carrots cool slightly. Then add the vinegar or lemon juice and the honey or maple syrup if using.
Add the chopped parsley and the crumbled cheese.
Best served at room temperature.
