this post was submitted on 11 Apr 2025
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I think they're essentially the same thing. I don't really have a process for what order to work in, just intuition for what will be the least friction. If it were big enough numbers I'd probably go through a second time in a different order of addition to double-check.
It's just weird that I've done a lot of math and never really thought about that process. That's why you'd ideally want any math below precalc to be taught by someone with a math education degree rather than someone who just has a math degree. When you've used the concepts you're teaching with enough regulatity that they're second nature, you have very poor intuition for which concepts will trip up someone learning for the first time.