No, I'm saying that they are 2 different things, which seems to both end up in the "math" bucket. Both have their applicability, but knowing one doesn't imply

No, I'm saying that they are 2 different things, which seems to both end up in the "math" bucket. Both have their applicability, but knowing one doesn't imply knowing the other. Each one also has a proper age group to start teaching it. Little kids have great memory but limited reasoning skills. That changes when they are older, so at that point you should switch from calculations to math. Dropping calculations for math is just as stupid as dropping math because you think calculations are enough.