Never tried gluing (temporarily or permanently) to foamboard myself. I did make some templates that way with poster board, and that works fine. Lately, though, I've been doing way too many steps. The thing is, I get really good results so I do it this way. I print the plans, cut into smaller parts (sometimes individual parts). Then I use tape to hold those down* and trace with pin pricks. I have a system where I mark the corners of parts and once or twice along straight cuts, intricately trace curves with lots of pricks, and use a double-prick (only piercing the first layer of paper) to mark bevels and scores. And then I wiggle the pin a little for BBQ skewer holes. Next, I remove the plans and trace everything with pencil and rulers. Finally, I make all my cuts and do any sanding I need to do to make it tidy. It's tedious but I like my results.
*Tape on the outside works in most situations, but you can also punch holes in the middle of parts and cover that hole with tape. It helps keep the plans stuck down and in-place, especially when there are hindrances to just taping on the outside edge.