The nice thing that happened in class today:

Grade 5 students solve a puzzle where they put cuneiform numbers in order (there is no guidance, just work with the symbols, how do you order them?)

I told them they are like archeologists cracking a code. They did it!

"But where is zero?"
"It wasn't invented yet." I said this seriously. I mean ... it's true.

Later that day the same student asked if it was a joke. I got to tell them no! Zero had to be invented. Everything had to be invented!

This student wants to "invent a new zero" so. Watch out everyone. Math is about to get a lot more... IDK ... but MORE.

@futurebird Dedekind showed that any two models of Peano arithmetic are isomorphic. In laymen's terms, if there is something that works like we expect arithmetic to, it will have just the one zero.

This is not obvious, and your student is to be commended for trying things out!