Use a pan wide enough to hold the carrots in one layer. Piled-up carrots steam instead of glazing.
Listen to the pan. A steady boil means there is still water; a crackling, sputtering sound means the glaze is forming and it is time to start rolling the carrots.
Keep the heat moderate once uncovered. Honey scorches fast and takes the butter with it.
For the classical Vichy version, leave out the honey and use 2 teaspoons of sugar instead.
A splash of orange juice or sherry vinegar at the end balances the sweetness, bistro style.
Serve alongside roast chicken, holiday turkey, baked ham, roast beef or pork chops, with mashed potatoes and pan gravy.
Leftovers keep 3 days refrigerated. Reheat in a skillet with a teaspoon of water to loosen the glaze.