[math-fun] Hi-Q

I bought a vintage Hi-Q set for my family a few weeks ago: https://en.wikipedia.org/wiki/Peg_solitaire Now that I'll be spending lots of time at home with my kids, I'm thinking that there should be some good activities we could do with it. Any ideas? I know that Berlekamp-Conway-Guy has a section on this, and maybe it even explains how to win, but I don't want to just see the answer; I'd like a "curriculum" that'll Socratically guide me and my kids towards the solution. (Or is it the sort of puzzle where you basically need to use a brute-force approach?) I kind of like the fact that I don't know the solution; it puts me and my kids more on the same level. Jim Propp