In that case, yeah, you’ve got an admin problem. I’m sorry - that really sucks. The entire system desperately needs an overhaul. The education system in Canada is a dumpster fire, and the US is even worse. Dealing with behavioral issues is one of many major problems…
The way I think of it, there is no subtraction, and there is no division. Or square roots.
There is the singular layer of operations (the adding/subtracting layer which I think of as counting, multiplying/dividing layer which I think of as grouping, etc).
Everything within that layer is fundamentally the same thing. But we just have multiple ways of saying it.
Partly because teaching kids negative numbers is harder than subtraction, and thinking of fractions is hard enough without thinking of it as a representative process of relationships via multiplication.
Again, just how my brain does things. I’m not a mathematician or anything, but I’m pretty decent at regular math.