Cut 1 ½ lb of the brussels in half, put them on a baking sheet, and toss them in the olive oil and salt. Put the brussels into the oven and roast them for 15-20 minutes, until they are tender and brown in spots.
To assemble the brussels sprouts caesar salad, put the roasted brussels into a salad bowl. Add the shaved brussels and croutons and pour the dressing over the top. Toss well and then serve right away.