Canconda@lemmy.ca 14 hours ago
Memorizing data doesn’t make one smarter… but learning concepts absolutely does.
The classic, “we’ll never need this in adult life” is math like Pythagoras’ theorem, or factoring binomial equations (remember FOIL?). We don’t learn that math because it’s practical for adult life… we learn that math so that grown ass adults don’t think someone using algebra is performing black magic.
Seems silly… but it’s just like how many folks never learned past middle school biology and now think XX&XY are the only chromosomal possibilities.
How about we meet in the middle and say “learning the concept that you might be wrong will help your intelligence”?
My mother who “allegedly” graduated high school has more confidence than anyone I know and will say things like “you can’t divide a small number by a bigger number” or “temperatures don’t have decimals, only full numbers”. Then as you stare at her blankly trying to figure out if she’s joking or not, she’ll tell you you’re clearly not very smart if you don’t know that
I think that kind of thing is more cultural than anything. Probably she doesn’t care very much whether it’s actually true or not, and feels she’d be losing face by being anything but confident about it.
Very possible. I just couldn’t see myself purposely saying something I didn’t think was true and then doubling up with calling the other person dumb over it. I don’t agree with almost anything she does though so that checks out.
IMO you’re just describing a closed mind versus an open mind. Learning the concept that you might be wrong is fundamental to having an open mind.
And it’s difficult if not impossible to be more intelligent with a closed mind no?
Funny enough, it was an agricultural class where the utility of the quadratic equation hit me. Professor didn’t even call it that, but we used it to calculate maximum efficiency in fertilizer spread.
o shit. Im gonna be expanding my garden next year. Didn’t know Id need my math text book haha
Students asking “why do we need to learn this” or worse graduates who proudly proclaim “Day 19,337 of never using the quadratic equation” are a symptom of teachers who haven’t read their Thorndike.
Learning is an active process. It takes effort to do. People do not like being made to waste effort. Students will be much more effective learners when they understand the value of the lesson to them in their lives. “You never know when this will come in handy” is not good enough. This is Thorndike’s principle of readiness. And especially high school teachers are bad at satisfying it.
Math teachers get it very often, because for some reason we approach teaching math to a nation full of hormonal teenagers as if they all want to grow up to be mathematicians. Starting in about the 7th grade they stop giving practical examples and teach math as a series of rules to be applied to contextless problems, and to the student it feels like years of pointless busywork.
And while I can’t claim to have ever factored a polynomial in my daily life since leaving school, I did recently come up against the order of operations. I calculated the width of some cabinet doors, and I factored in the gaps between them wrong. 3 doors, 4 gaps between the doors. I did door_width = opening_width / 3 - 4 * gap_width. When I needed to do door_width = (opening_width - 4 * gap_width) / 3. In the first case, you end up subtracting all 4 gap widths from each door. I would be better at math today if you’d explained it to me like that when I was 12.
we approach teaching math to a nation full of hormonal teenagers as if they all want to grow up to be mathematicians
No we don’t.
Starting in about the 7th grade they stop giving practical examples
No we don’t. Just check out some final exams to see plenty of them still included.
if you’d explained it to me like that when I was 12
Most teachers do, but some aren’t very good, especially in the U.S. where it’s not even required to have Maths qualifications to be a Maths teacher.
No we don’t.
I mean, go ahead and lie about how I spent 6 years of my own life to my face. Memorizing proofs and working endless assignments of just…equations. Here is an equation. Do thing to it. Solve it, simplify it, factor it, graph it. I plugged and chugged so many numbers into the quadratic equation, I don’t think I was ever told what that’s for. Some chapters had token word problems.
A lot of the math I actually know I learned in physics class, where you’d do unit math. That 25 meters traveled in 5 seconds means a velocity of 5 meters/second. Science class math comes with sniff tests that math class math doesn’t.
The way I was introduced to order of operations was, the teacher wrote a long expression on the board, this plus that divided by such minus thus times such plus this times that. Spend a second solving this. Okay, who got 7? Who got -23? If you got -23, you’re right.
That is FUCKGARBAGE teaching. It may be the flight instructor in me, that my classroom is an actual airplane that we fly over actual people and their homes, but few things piss me off as deeply as setting up your students to fail. Because introducing the subject this way separates your class into two groups: Those that already have a functioning understanding of the topic whose time is being wasted, and those who don’t already understand it and need you to teach them this skill, who now feel tricked, confused and frustrated.
This teacher went on to explain Order of Operations as a series of rules you follow because following rules is what you do. “You do parenthesis before exponents before multiplication/division before addition/subtraction.” PEMDAS, Please Excuse My Dear Aunt Sally. This was taught with the same “This is how nature is” attitude as the planets of the solar system or how ionic bonds work, except algebraic notation is artificial. It’s manmade, like the English language. It’s a method of communicating ideas, except it was taught as a series of rules and procedures that you were supposed to memorize how to do without understanding the goal, and fuck your life if you lacked the vocabulary to describe what about it you didn’t understand.
SmartmanApps@programming.dev 6 hours ago
A lot of adults don’t, then proceed to argue about order of operations, having forgotten that Brackets have to be all expanded out before doing anything else at all.
Yes we do. I use Maths every day, quite separate to the fact I teach it.
petrol_sniff_king@lemmy.blahaj.zone 4 hours ago
I love this argument because it’s like a guy who catches and eats raw fish saying that we don’t need fire. Like, man, you’re not even trying to use it, though.