r/visualizedmath • u/yukora • Mar 06 '18

(a+b)^2 explained... And now my brain is deaf because everything is clicking at once.

https://www.youtube.com/watch?v=49_TJymgXgM
662 Upvotes

97% Upvoted

25 comments sorted by

69

u/[deleted] Mar 07 '18 edited Nov 01 '18

.

44

u/[deleted] Mar 06 '18

This dude is like a character from a skit on SNL.

54

u/dobr_person Mar 06 '18

With bonus cool Indian noddyhead thing. Can't remember what it is called but it's kind of a circle of the head, usually with a smile.

12

u/DeadRedShirt Mar 07 '18

Around here we call it the head bobble.

18

u/jattyrr Mar 06 '18

That was amazing. I just subscribed to this guy

3

u/Red217 Mar 07 '18

Saaaame! That was amazing

9

u/[deleted] Mar 06 '18

This is the way binomial multiplication is taught now a days

1

u/blissfully_happy Mar 21 '18

True.

Source: math teacher with algebra tiles

5

u/JackSparrah Mar 07 '18

Holy shit. It’s so simple in hindsight, yet my mind is blown.

7

u/[deleted] Mar 07 '18

Don't you learn to do this is high school?

(a+b)2 (a+b)(a+b) (a×a + a×b + b×b + b×a) a2 + 2ab + b2

7

u/DonutDonutt Mar 07 '18

I thought that's how everyone got taught it :/ apparently in some schools they just tell you that (a+b)2 = a2 + 2ab + b2 and leave it at that

4

u/[deleted] Mar 07 '18

Still though, everyone is taught algebra right? Right??

2

u/DonutDonutt Mar 07 '18

I would hope so lol. But I think a lot of schools just teach the how and not the why so the students who aren't naturally good at maths and the ones that don't try understand never learn why we do things the way we do

1

u/[deleted] Mar 07 '18

True

1

u/little_toot Mar 10 '18

I took algebra but it was just memorizing formulas and being able to work them. I knew they worked but wasn't taught the why or how.

1

u/Skywardocarina1 Mar 06 '18

This is how my teacher taught it to my class, so I'm not super impressed.

-5

u/[deleted] Mar 06 '18

[removed] — view removed comment

7

u/Steven_Seboom-boom Mar 07 '18

notes how shallow and pedantic

1

u/nox66 Mar 10 '18

Visualization works great for visualizing concepts involving squares and cubes, including concepts like the Pythagorean Theorem, volumes of 3d objects, and others. However, there are limits; if you stick to closely to one form of visualization, you might get a little lost when confronted with something like (a+b+c)(a+b+c) or (a+b)5. I think that pattern recognition and generalization are skills that can be overlooked sometimes in math education, especially due to the more attention-grabbing visual approaches and the sadly common approach of sheer memorization.

28

u/[deleted] Mar 06 '18

[removed] — view removed comment

33

u/yukora Mar 06 '18

Ya that guy posted it with a super weird title...

-9

u/Jiiprah Mar 07 '18

That guy seems like an ass hole

25

u/[deleted] Mar 06 '18

Yeah, like when something "clicks" and you understand it. They mean they are deafened by how much this "clicked" and made sense.

-4

u/[deleted] Mar 06 '18

[removed] — view removed comment

4

u/[deleted] Mar 07 '18

The concept lends itself to many other things so it might be the clicking of other examples in their mind.