Pressboard is a wood-like material found in all hardware stores. It comes in sheet sizes of 4'x8' or 4'x4' usually, in thickness of 1/8", or 1/4" normally. Some hardware stores will cut it to size for little extra cost. If you find a store that is carefull with their cuts, you can give them 'exact' sizes and usually be successful getting just the piece sizes you want. This material is also very cost effective. It's very smooth on one side and somewhat rough on the other - perfect for mounting the map on the smooth side and the rough side nicely grips a smooth tabletop without scratching it. It's so smooth on one side, I have used it as a base for painting mapboards.
Once the pressboard is cut to exactly fit the pre-cut map pieces, you glue the maps upon the pressboard. If you have ever laid wallpaper - the principle is the same. The glue is a standard 'liquid paste' found in hardware stores and comes in quart cans. Literally paint with a brush the glue on the smooth surface, carefully place the map on the surface, and smooth the bubbles from the center outward, using a stiff blade. A little hand held wooden roller wheel (also a wallpaper hangers tool) does a nice job of really flattening the surface.
Good luck amigo - and ask if you need other help.