Try this. Cut the board into a 12 pce. jigsaw and number them 1 to 12 instead of adding a picture. You will also need 2 dice. Throw the dice and the first no to come out is the starting point. Just for fun say no 8. The next thrower to put down a bit of the puzzle must have a number that connects to the 8, say 7 or 9. To speed things up a bit, if you throw a 5 & 3, you have a choice of putting down piece no 5 or 3 or 8. The winner is the one who puts down the last bit of the puzzle.
I just made that up, so no idea how long it will take or how boring it will get, or what to call it!! Make up your own rules as you go along. There is not much you can do with a 4? sq pce of wood and I am sure Dad can make the dice for you as well. Hope this helps or gives you an idea. Iggy