Comment on A fake Facebook event disguised as a math problem has been one of its top posts for 6 months
barsoap@lemm.ee 4 weeks agoLearning the actual algebraic laws, instead of an order of operations to mechanically replicate. PEMDAS might get you through a standardised test but does not convey any understanding, it’s like knowing that you need to press a button to call the elevator but not understand what elevators are for.
Is it also lazy to learn Roy G. Biv to know the color spectrum instead of learning all the physics and optical properties behind that?
Or My Very Elderly Mother Just Served Us Nine Pickles to know the planets instead of learning orbital dynamics and astrophysics?
Christ man, it’s a mnemonic device for elementary schoolers.
Those two things are memorisation tasks. Maths is not about memorisation.
You are not supposed to remember that the area of a triangle is a * h / 2, you’re supposed to understand why it’s the case. You’re supposed to be able to show that any triangle that can possibly exist is half the area of the rectangle it’s stuck in: Start with the trivial case (right-angled triangle), then move on to more complicated cases. If you’ve understood that once, there is no reason to remember anything because you can derive the formula at a moment’s notice.
All maths can be understood and derived like that. The names of the colours, their ordering, the names of the planets and how they’re ordered, they’re arbitrary, they have no rhyme or reason, they need to be memorised if you want to recall them. Maths doesn’t, instead it dies when you apply memorisation.
Ein Anfänger (der) Gitarre Hat Elan. There, that’s the Guitar strings in German. Why do I know that? Because my music theory knowledge sucks. I can’t apply it, music is all vibes to me but I still need a way to match the strings to what the tuner is displaying. You should never learn music theory from me, just as you shouldn’t learn maths from a teacher who can’t prove a * h / 2, or thinks it’s unimportant whether you can prove it.
Maths is not about memorisation
It is for ROTE learners.
You are not supposed to remember that the area of a triangle is a * h / 2
Yes you are. A lot of students get the wrong answer when they forget the half.
you’re supposed to understand why it’s the case
Constructivist learners can do so, ROTE learners it doesn’t matter. As long as they all know how to do Maths it doesn’t matter if they understand it or not.
You’re supposed to be able to show that any triangle that can possibly exist is half the area of the rectangle it’s stuck in
No they’re not.
If you’ve understood that once, there is no reason to remember anything because you can derive the formula at a moment’s notice.
And if you haven’t understood it then there is a reason to remember it.
you can derive the formula at a moment’s notice
Students aren’t expected to be able to do that.
All maths can be understood and derived like that
It can be by Constructivist learners, not ROTE learners.
The names of the colours, their ordering, the names of the planets and how they’re ordered, they’re arbitrary
No they’re not. Colours are in spectrum order, the planets are in order from the sun.
Maths doesn’t, instead it dies when you apply memorisation
A very substantial chunk of the population does just fine with having memorised Maths.
What fundamental property of the universe says that
6 + 4 / 2 is 8 instead of 5?
6 + 4 / 2 is 8 instead of 5?
The fundamental property of Maths that you have to solve binary operators before unary operators or you end up with wrong answers.
Nothing. And that’s why people don’t write equations like that: You either see
4 6 + --- 2
or
6 + 4 ------- 2
If you wrote 6 + 4 / 2 in a paper you’d get reviewers complaining that it’s ambiguous, if you want it to be on one line write (6+4) / 2 or 6 + (4/2) or 6 + ⁴⁄₂ or even 0.5 (6 + 2) Working mathematicians never came up with PEMDAS, which disambiguates it without parenthesis, US teachers did. Noone else does it that way because it does not, in the slightest, aid readability.
You might be smart, but you’re still wrong about the importance of order of operations; especially in algebra.
As far as teachers go, you’re being a dick by generalizing all (US) teachers are lazy and do not understand math.
Pro tip: opinions are like assholes; you too have one, and yes it too stinks.
You might be smart
Smart-arse more like. A serial troll who doesn’t actually know what they’re talking about.
just say you like the smell of your own farts, it would be less text for us to read for the same result
Halosheep@lemm.ee 4 weeks ago
This guy is the the guy posting the answer and then spending hours fighting the idiots who got it wrong on Facebook.
Nerd.
barsoap@lemm.ee 4 weeks ago
x/0 is the set {+inf,-inf}, fite me IRL.