There are two types of the folding mats.
I have the large Omnigrid cutting/pressing mat that folds with a handle. I use it for all classes and workshops. It's very nice. I had the Fiskars folding cutting mat that folded for space. It was discontinued long ago. The fold in that one seemed week and broke apart after a time of folding it. The new folding mats sold now may be better made.