I wish I was taught about the usefulness of maths growing up. When I did A-level with differentition and integration I quickly forgot as I didn't see a point in it.
At about 35 someone mentioned diff and int are useful for loan repayment calculations, savings and mortgages.
Blew my fucking mind cos those are useful!
The other use is as a door-opener; Learning these maths fundamentals enables you to pursue a stem degree
as a door-opener
You say that but they still need to teach you the "why". For example I did A-level maths which was a door to learning discrete maths in uni. Matrices, graphs, etc.
In 20yrs as a software dev I never used any of it. Only needed basic arithmetic.
To this day I've got no bloody clue what the point of matrices are.
They're used for manipulating vectors.
Just like how in
a×v
the a makes the vector v longer or shorter, in
M×v
M can change the vector, for example rotate it.
Just like vectors and other mathematical objects, matrices are purely theoretical concepts. There is no direct real-life meaning to them.
However, there are a bunch of real-world problems where matrices can be put to use to calculate something meaningful.
I fucking loved maths mechanics which is like applied maths/physics. So you'd calculate the distance a ball is thrown or a cannon ball dropped from a cliff. Don't think we ever did matrices in it though. I enjoyed it so much I'd do excersizes in the book for fun!! That and politics were the only courses I was passionate about.
But I became a software dev that didn't use maths or politics. :/
So from age 5-17 I hated maths cos I saw no point in it. Until I hit 17 and someone said I can work out how fast a fucking cannon ball travels on impact?! I mean holy dog shit! If someone told me that in primary school I'd have loved maths!
It was very much taught as a means to answer questions though rather than application. So as an adult I'd have to be shown how a number could be found using algebra. But because it wasn't in an algebra question format it went over my head. It literally required someone taking numbers I'd been given and putting them in a line with letters before my brain engaged to "Oh shit - algebra! I know this!".
Another example is differentiation. I recently looked up my notes and remembered it was told to us very mechanically: f(x) = 4x^3 => f'(x) = 4(3x^2) = 12x^2
No idea why that's the case - it just is.
It's a shame cos I learnt I love maths at 17 but by that point I'd lost years of potential.
P.S. any advice on where I can re-learn real-world maths? I'd love to redo my teens maths learning for fun.
I'd like to teach math to anyone who's interested, but I lack infrastructure to do so, unfortunately.
Zoom+laptop webcam pointed at a sheet of paper?
That doesn't feel viable.
That's one of the big problems with maths teaching in the UK, it's almost actively hostile to giving any sort of context.
When a subject is reduced to a chore done for its own sake it's no wonder most students don't develop a passion or interest in it.
In the US it's common to give students "word problems" that describe a scenario and ask them to answer a question that requires applying whatever math they're studying at the time. Students hate them and criticize the problems for being unrealistic, but I think they really just hate word problems because because they find them difficult. To me that means they need more word problems so they can actually get used to thinking about how math relates to the real world.
I don't see it that way. Most "word problems" are just poorly posed, lack important information, or are ambiguous. Often, they are mostly fairly unrealistic.
It would be better to describe usage scenarios, talk about examples in class, and give exercises which have a clear, discernible pattern. Like, actual physics problems.
all the student needs to know is c<a+b, not the actual formula or theory behind it
c<=a+bIdk, this really doesn't have to do anything with Pythagora's Theorem
Yeah, it's just the triangle inequality.
The way is sqr(2)=1.4 instead of 2.
Beyond the general "hehe funny meme" Some seem to think there's some kind of math going on in people's heads other than "shortcut"
The knowledge of Pythagoras or math doesn't factor in here at all. Toddlers do this.
Having the knowledge just gives you fancy words for the resulting coincidental shape.
Yeah, somebody once explained this to me like
"even stupid animals go directly at where they want to go"
There's a college in Chicago, i think it's IIT maybe, that used aerial photography to map out the student cow paths, then they redid all the sidewalks to incorporate those paths.
Edit: they ended up adding a building in a grassy area and maintained all the hall/walkways of the building in line with the sidewalks/cowpaths. Kinda neat.
Ohio State University
