It really doesn't slide around much, not enough to worry about. It's just not as stable as a heavy board.Put it on top of a silicone hot pad or two. I usually use plastic cutting boards; they will slide on my Formica. A number of Christmases ago, my SIL gave me a couple of the silicone potholders. They seem too stiff to me to use as potholders, but I find them very useful as hot pads or under the cutting boards to prevent slipping.
I know the trick with the damp rag. When I make vinaigrette, I put a dry rag under the bowl and that works well. Hadn't thought about using the silicone pot holder, but I only have one, so I think it would tilt the board. I do use it as an extra trivet/hot pad when I want to put a hot pot on a surface not designed to withstand heat.