Yeah, starting around age four, all of my kids became prolific artists, going through dozens of sheets of paper per day. With our oldest kid, we tried hanging them up on the wall, but it quickly ended up covering every inch of a long hallway. Now, to keep our house from overflowing, I just photograph[1] all the drawings every night and recycle them (see my other comment about personally using the back sides of some for my own notes).
[1] After four kids, I've fallen behind on sorting through the photos, but we have albums for the artwork that each of them has made. It's pretty cool to see it all in one place, and how their work has become more sophisticated over time.
