i had to solve a couple of problems with stuff like “assuming pi = 3”,… usually to make solving stuff without calculator easier
Comment on Let π = 5
Thunderwolf@lemmy.world 8 months ago
There are people that think this post is wrong because the equation is wrong or due to a lack of units
The equation for cylindrical volume is correct (circular area multipled by height).
And the units are unimportant (can be described as cubed units)
The issue is that Pi is a constant. Constants and variables are different things.
Other examples of constants: 1, 24, 7, -1 … Etc.
Saying Pi = 5 is like saying 1 = 5 … Both Pi and numbers like 1,2,3, etc. have a constant (non-varying) value.
You can’t reassign a value on a constant. It’s like me sticking up 3 fingers and claiming there are 5 fingers there.
vox@sopuli.xyz 8 months ago
MinekPo1@lemmy.ml 8 months ago
minor nitpick but the value of π is technically a parameter of the space you are operating in . which means it can have any arbitrary value as long as you are willing to operate in non euclidean spaces (and the space we live in is not euclidean though not to a measurable extent unless you are near a black hole)
but yeah in this context saying π is a constant is as correct as saying you cant take a square root out of a negative number .
Orbituary@lemmy.world 8 months ago
Ok, Picard. There clearly are 3.
CameronDev@programming.dev 8 months ago
For the purpose of teaching young school kids how to substitute real values for constants/variables, does it matter? π is a constant, but the value you use for it in exams and real life will not be the same, or the actual correct value. Getting students used to the idea that even constants can have varying values in exams or software is useful.
In my exams π had values ranging from 3, 3.1 to whatever the calculator had.
g
also ranged from 9.8 to 10, although in fairnessg
is not a constant.At least setting it to 5 can spark debate around what a more reasonable approximation should be.
new_guy@lemmy.world 8 months ago
OP’s problem isn’t even wrong.
It’s just assuming that π is 5 in this specific scenario, just like it’s reasonable to assume the existence of a spherical cow in a frictionless environment. Yeah, if you use the results of this problem to develop a real cylinder you’re going to have a bad time but nobody is doing that all what’s the problem?
Nobody is saying that from this point in time and going forward π = 5 and now math is broken forever. People need to chill
bobs_monkey@lemm.ee 8 months ago
If it’s teaching grade school kids, I would argue it is problematic, only as to not draw confusion on reassigning π away from it’s widely accepted consistent value of ~3.14 for most applications. Once you start getting into theoretical physics and the like, that’s a different story. Math is already a tough subject for many kids and this would just throw another wrench into the learning curve. I’d argue to only start debating the fundamentals and theory after a firm grasp of the fundamentals has been established and practiced repeatedly, preferably in upper level courses.
CameronDev@programming.dev 8 months ago
I dont quite know what grade school is, but if you mean 12-15yo students, i dont think its that much more confusing?
I liked math though, so perhaps I am just biased there.
bobs_monkey@lemm.ee 8 months ago
More or less that age, yeah. I’m guessing you’re outside the US, typically grade school here refers to Kindergarten to 12th grade (basically 5y to 17/18).
Perhaps this is an American methodology, but we were always taught that π is intended to represent the constant of 3.14 as it applies to circles in geometry and trigonometry, while various variables of x/y/z/etc were values to either be input or solved for. It wasn’t until Calculus that it was suggest that π could be variable dependent on other factors in a certain context, but that was usually pretty rare.
And yeah I enjoy math as well, but I also helped tutor my peers who didn’t grasp it, so I can understand why it was taught that way (that and our education system is interesting, for lack of a better term).