Design the panel system. Panels using the standard 4 by 8 size of the homosote sheets are the easiest to make but this size may be too big for easy transport. Decide on the panel sizes.
Cut the materials and frame the panels. Any chosen size will work. Two 4 by 4 panels linked together at a right angle will work well. Cut the 4 by 8 homosote sheet in half. Frame the vertical panel ends with longer supporting frame members that will hold the panel aloft. Cut two 2 by 3's to a length of 78 inches. Cut two 2 by 3's to a length of 43 inches. Frame the 4 by 4 panels using the two 78 inch side members. Line up the 78 inch 2 by 3's flush on the top with the other end extending 30 inches beyond the panel. These two pieces of wood will hold the panel at viewing height. Frame the top and bottom of the panels with the 43 inch 2 by 3's. Do this again with the second panel. Once framed, drill and screw or bolt the two panels together at a right angle. The panels can be hinged together to make a folding system but this structure is less stable if accidentally bumped during presentation. A very stable configuration for two-sided viewing is an "H" form using three longer rectangle panels fastened at the middle of the two side panels. Fastening the panels together by using a method of drilling and screwing is an easy way to make deconstruction for transport possible. Using a system of fastening that bolts together may seem like more work in the beginning but will be more practical in the long term.
Construct the feet for a free standing panel by cutting two 3 foot lengths of 2 by 3 and screw or nail in the middle perpendicular to the bottom of the longer side supports. These "feet" will sit flat on the floor extending out 15 inches on both sides to stabilize the free standing panel. A 45-degree structural support or angle irons will need to be fastened at the bottom between the "foot" and the vertical support "legs" on both sides of the two 78 inch standing panel support members.