Trim woody ends from broccoli stalks, then cut heads away from stems. Peel stems and halve lengthwise. Cut broccoli heads in half through the crown to create two lobes (don’t separate into florets).

Heat a large skillet over medium-high heat. Add 2-3 teaspoons oil to pan. Place broccoli in skillet cut side down. Season all over with salt and pepper to taste. Cook undisturbed for about 5 minutes or until the undersides are well browned but broccoli is still crunchy — a cake tester should meet firm resistance when inserted into thickest part of stem.

Turn heads over onto floret size for a minute, just to lightly brown rounded sides, then transfer to a cutting board.

When cool enough to handle, cut broccoli heads and stems into ¼-inch (or slightly larger) slices and transfer to a large serving bowl. Add the vinegar, 1 tablespoon olive oil and the honey. Season generously with sea salt. Toss. Taste. Adjust seasoning with more olive oil, vinegar, and salt to taste — I’ve consistently been adding at least another tablespoon each of oil and vinegar. And I find the broccoli can really handle the sea salt, so don’t be shy — salt till it tastes good.

Add the almonds and dates and toss again. Add the cheddar and toss one final time. Serve immediately or let stand for hours before serving. This salad gets even better as it sits — the dates, almonds, and cheddar soak up the dressing, while the broccoli remains firm (while also absorbing the flavors of the dressing). This is a salad to be eaten with a knife and fork.