Design Wall

My sewing area is a wall in our dining room.  We have a small townhouse, so there is no other room right now.  When we remodeled our kitchen, which is to the right of this photo, all my sewing stuff was moved and stored.  We put it back a couple weeks ago, but I'm still trying to figure out what to do with my design walls.  We took out a large wall between our kitchen / dining rooms and I can no longer prop the design walls against this wall.

I have two large foam boards covered with batting.  What you see is one.  I attempted to mount it to the wall with removable velcro, not wanting to damage the wall.  Well, that didn't work too well.  It's now sitting on my sewing table.  How do you mount this thing?  I'm okay with light damage to the walls as we own the house and can easily do repairs.  Mounting would be better.  Then Liam couldn't knock it over.

My crafting area, from left to right: a basket of knitting that has sat there for months, a small side table with drawers of fabric, a glass container of scraps, a basket of fat quarters, and a box of sewing notions, my sewing table with several projects on top, a nightstand which doesn't fit in our bedroom that serves as overflow.