Well, yes for schools that are specialized around the subject thus contain only people interested in it. But for people that are not interested in it it's not very comfortable. I always loved math lessons because they were taken like this but always understood that people that are not interested in math would prefer just hearing "It's pi r squared, learn that for the exam". And that's perfectly understandable. For example me, I am not interested in, I don't know... politics, for the instance, or economics. And when someone is trying to explain to me how companies internaly work or something like that I am like: "I just see what they do, how they do it and that's how I treat them." And for me, there's nothing more to it and I don't want it to be. It would be hypocrytic to treat fields I am personaly interested in differently than fields I am personaly not.

@@Alialun2 I think everyone should learn the lessons like this in the schools, everyone needs the learn fundamentals of every lesson.

on which level though? note that circumference and area are taught on level 4 elementary schools.

it's because he's asian

Took 11th grade trig, barely scraped by. Upon taking physics 3 years later I tried to teach it to myself. Turns out it's easy as hell, Nobody bothered to teach me why though.

LMAO I love it. His ability to explain to what I assume to be highschool level students is really sublime

fun ...yeah, that’s the cool and challenging thing about what he was doing. Truth is that calculus could be taught at lower levels in this fashion. It opens the door to a variety of new perspectives on making math less of a drudgery at lower levels. That’s not math. That’s memorization.

Reiiiiiimmmannnn sum

@@Kandralla It's not really about what you would rather do but what works. Times tables are your foundation. If you become an adult without being able to do times tables as second nature you are quite impaired. It is used all the time. There should be a lot of repetition in learning like in times tables and bonds and other concepts but also a lot of more creative learning. There should be a balance. One should not be sacrificed to make it fun and then leave people with serious gaps in their functioning as adults. You need times tables for something basic like going shopping. It should be second nature and that is why there is repetition involved.

One of the biggest mind blown moments was when I realized than the circumference was just the derivative of the area.

sneeze²

Maybe he was the infamous teacher MatPat had.

@@erikbjork8220 1.5sneeze

@@pawpatrol55 1.5×10¹=15

@@pawpatrol55 On my computer simply AltGr+1, you could also try first ^ and then 1. And if that doesn't help, Google is your friend.

WHO FOUND PI?

In a way, we are all billions, if not trillions of tiny 3D circles

@@rupamjyotigogoi6138 WA Warehouse 4/9/2020 Notify me Vic Warehouse 8/9/2020

@@Hyblup umm i believe a 3d circle is called a sphere if I’m not mistaken? 😆

It makes me want pizza, or pie.

That, and the fact that not many teachers just aren't enthusiastic about the profession. Many start out that way but due to lack of support, administration politics, disinterested students, etc., the passion they may have started out with just gets crushed. And, just like any other profession, after about 7 years, they burn out. Human nature. "Those that can, do. Those that can't, teach. Those that can't teach, teach 'gym'."

They understand their material, but think of a teacher's life like put your life in your teacher's shoes

What an embarrassingly ignorant comment.

The only thing harder to find than a good teacher is a good student. Just saying ; )

They don't have the time. He took 7 minutes to teach one basic formula. Take that long with every formula they need to know and you'd be there for years.

Asians, man.

@@Birrrrra Ofcourse you had to make it a race thing. smh

@@missionpupa chill dude, that was a dad joke, and apparently went over your head

@@allat0nce dad joke my ass.

@@missionpupa It's a joke based on the generalization of asians being superb at everything. Not a bad joke even

I just graduated with a B.S in Mathematics and I still find myself watching this guy’s videos.

@@movieguy117 beep boop

I totally have nothing to do with maths, just used to study it. And I still end up watching his awesome lessons.

Me I was terrible at maths.. Now relearning it for fun

Yes... And I am not even a student. A middle-aged medical doctor!

you never had to integrate a circle?

@@17martinl integration might spit out the correct formula, but a purely visual explanation like this video can help one truly “get it”. Lots of people are really good at applying known formulas and techniques to get the result, without necessarily knowing the geometric or visual equivalent of what is happening in the intermediate steps.

The explanation in the video literally is integration. In fact this is one of the best illustrations of integration!

@@samsowden The idea behind the infinite number of strips is essentially a Riemann Sum, if I recall correctly.

@@elmarko9051 ye, a riemann sum

Exactly, critical thinkers not allowed!

I have never met a teacher who didn't rejoice his ass off over a student who wanted to get deeper into the math. But be honest about how many students you have seen in school who would have wanted that. Unfortunately you stop going out of your way to demonstrate deeper layers of the math, after looking at students who don't give a crap about anything math related beyond just passing well enough to be left alone about it afterwards for 30 years.

@@AliothAncalagon that's because you didn't go to suchool in India or any other third world country

But this isn't a proof, though. It's only showing why the formula makes sense. At that level of math class, teachers fail because they're not enthusiastic.

@@harrismazari5484 Are teachers in third world countries not rejoicing when students want to know more about the math they are teaching? I cannot say much about this context, but I guess it would make some kind of sense, since the math teachers there are probably worse paid and not as highly educated themselves. Its hard to become passionate about something in that case.

The problem with doing this in the classroom is how many varied students are in the room. To understand this explanation, you already have a working understanding of area and circumference and this lesson just cements that to a deeper level. If you don't have that understanding, this lesson is confusing and brings in many different concepts and drawings. Imagine a student asking "where did those rectangles come from?" or "do we have to know this for the test?" and how you answer that. This is a great video and is a great approach for tutoring or after class help. But it's a big risk in a classroom.

@@Ryvaken the first question feels like...inference? issues. the second question is a problem with the system itself, not a learning issue. if your school has always been "memorize this for a test" than youd be adverse to things that won't be on said test, but you still to know them.

Josh Doyle “maths” first you should probably graduate English.

Darth Maul "maths" first you should probably graduate Brit or Aussie English.

Darth Maul Maybe you should move out of America for a day. Maths is acceptable

@@iamadragonborn mathematics

I think this guy teaches higher level or higher achieving classes. I got kids in my class in high school that don't know a length is CM and an area is CM^2. Would have lost them at the start already. lol.

S: Why should we pass the exam? T: It will help you be accepted into further education. S: Why should we be accepted into further education? T: It will help you get a job. S: Why should we get a job? T: To earn money. S: Why should we earn money? T: To buy things you need to survive. S: Why should we survive? T: Stop asking questions. S: Why should I stop asking questions? T: Because it is distracting you and the rest of the class from studying what you need to pass the exam.

You’re unlucky (or I’m lucky.) That’s not how my teachers (that I can remember) have ever acted with math. Okay, the curriculum itself doesn’t give the teachers a whole lot of room to really explain much. The goal of the system is to be efficient on time and so we usually gloss over the notes and practice worksheets and such to prepare for the test.

@@Zalamandar you're forgetting "how?"

***** Yeah! I'm going to watch those two videos now

Even I thought the same ! , Even if we differciate area of circle with respect to R we will get circumference of the circle

Woah cool

Wasn't video explanation the same in principle?

Durrr

Indeed, my math teacher was talking about those "pizza-slices" but I didn't get the point. Luckily I got it now👍🏼

Ryan Ford Has

Same. My teacher never explained the whys. Our education system is designed to make students get higher grades, not bring out geniuses. Look at my people, they're more interested in politicizing everything.

Unluckily for you, grades actually are a decent indicator for understanding of a topic.

​@@bobfake3831 Is it though? Grades are based on your results on tests, presentations, exams etc., but every student can have a bad day - even those with a great understanding of a topic. Of course grades give a pointer on what level you're on, but they don't portray the full picture.

Imperial measurements is not standardized due to an inch, a foot etc can vary. But the metric is standardized.

Treason

Me, who loves the metric system: DECIMETERS! (that's 10 cm, in between cm and m, which is for this scale)

No, i do not run 300 mm pipe. I run 12"pipe.

@@andmos1001 Imperial units are defined by metric terms, so they don't change.

I mean, sneezes aren't really a covid symptom 🤷‍♂️

​@@pattsw but it is a method of transmission from person to person for covid which is a worry.

Then you haven't seen a freehand circle by Al Overwich. (sp?). Math teacher in Ottawa Canada. One of his students posted a video of him drawing a circle.

kzfaq.info/get/bejne/jZ1zeJuXmMCaY2Q.html

@@eugene188 WHO FOUND 🥧

@@stevethea5250 what??

@@jacinth8993 who founded pi

not perfect... however pretty good for a hand drawn circle by freehand. However not the best hand drawn circle.

Pi of his circle isn't 3.14 sure😂

"Eeeeh, I've done better."

3:32 start drawing perfect potatoes...

@blayral JAJAJAAJA

Jose A. Alpízar C. The Pizza slicing is - to my opinion - even more intuitive.

Vincent Y. This goes into calculus since the length of each concentric circle is dx. It’s honestly very satisfying if you ask me.

Then you’re not really amazing at math

you can be good at math and also try to derive formulas yourself, just for curiosity

Yeah it's a thing you may or may not suddenly notice when you're studying calculus and you'll go DUUUUUUDE Like for example getting the volume of a circle is just integrating the same equation again

@@guythat779 what exactly is the volume of a circle ...?

Was thinking the same 😂😂😂

If she sneezed in class today she'd be SWAT teamed!

Jepp 😷

He says that at 3:20

What? The video doesn't show where pi comes from. It uses pi as a given constant and a method of getting to the formula of the area if you already know he formula for the circumference. He doesn't explain where pi comes from. He just says that that the circumference is 2r×pi.

@@borstenpinsel Then I want to ask you this. Why is pi 3.14159.... Where do we get the number from

@@pattininja95 Pi is the ratio of the circumference to the diameter. Draw any size circle, measure around the edge, measure across the centre, then divide the first measurement by the second and you'll get pi.

@@j5300 which is exactly what he says in this video, hence my comment

borstenpinsel the teacher mentions that pi is the ratio between the circumference and diameter of a circle. He explains where it comes from

Yep, the difference in teaching quality can EQUATE (haha) to a similar difference in learning quality.

its not exactly a gradient...

GZA 🤣🤣🤣🤣🤣🤣🤣🤣🤣🤣🤣🤣

@@Sarah-zb Paying for accommodation Please provide details about how you pay for your accommodation. You must answer all questions unless they are marked optional. Do you pay fees for your accommodation?This includes rent, board and lodgings, site fees or any other fees. Yes No This is asking if you pay something for the right to stay in the place you live. Click here to launch the digital assistant Do you get free accommodation? Yes No This is if you don't pay for the place you live in. Click here to launch the digital assistant How would you describe your current accommodation circumstances? Please be as specific as possible. Click here to launch the digital assistant Press "Continue" to save your changes and proceed You will have a chance to review these details later and make changes if needed.

🤣🤣🤣

why are you watching it now?

A sneeze and a half*

Sneeze^2

(Sneeze)^2+-(Sneeze)^2 Solve for S.

*when I need the circumference

@@suhailmall98 my bad, fixed it

I REMEMBER THIS

Apple pies are square (A= pi X r^2)... cherry pie delight (C= pi X d ) is how I was taught it 😂😂

What's so impressive about it? This is the basics of greek geometry.

Yes , don’t worry, we think you’re clever too. However he did it with clarity and kept the kids engaged , and that’s the actual clever bit.

You're full of shit. Any high school math teacher can tell you where pi comes from. What exactly were your questions?

@@tc1817 "can" tell you, sure. "Did" tell us, no.

@@TheZombiecowmeat You didn't ask.

@@tc1817 I don't know about you, but when in school, many kids don't know what to ask. It helps if teachers teach. Maybe you were a more perfect kid? haha

@@TheZombiecowmeat I'm just saying that if you wanted to know where pi comes from, you could ask. I'm 1000% sure that your math teachers at some point explained the relationships between r, d, c and pi. It never occurred to you to think "why is it 3.14...." and not some other number?

Very good question. Maybe I won't respond your question but here is my point: I think that mathematics have been invented to explain the world in which we live and we know that infinite things are mindblowing (did you ever see infinity ?). That's why we created the notion of significant figures where we only take things that can be "finite". For usual uses, 3.14 is enough but maybe for some work where a physicist/scientific works with microns sizes, it won't be enough so you'll have to use more precision and fortunally PI offers you that.

I have a thought on that question... if not necessarily a satisfactory answer! When we look at the real world, as salutoitoi suggested, we never actually have a closed relationship. For instance, at the atomic level, everything that exists, including you and me, actually has space between every atom. There are only electromagnetic forces that hold us together. So, likewise, a circle of a diameter 1 never closes, but gets to an infinitely smaller distance, just as pi gets infinitely smaller, the further from the decimal we calculate. So, I suppose that technically, a circle is actually just a perfectly curved line segment that infinitely, but never ultimately, approaches closure.

Yes, it will loop back on itself, according to the definition of continuity. For every epsilon I pick, I can compute pi as exactly, so as to make the gap smaller than that picked epsilon. In other words: The "real" length would be exactly pi. We cannot compute pi, so we take an approximation that is smaller (We could also make the approximation bigger). Now, there is an error. However I can reduce that error at my will, by computing pi more exactly. For every value that I can imagine, I can make the error smaller than this value. This means, that the line would be continuous.

Irrational numbers are NOT weird numbers. You can plot them as precisely as you want. Same applies with real numbers 2.0000......

I'm late but I think the number pi does not work like that. The circumference does loop back on itself after exactly pi*D It is irrational because of the curvature of a circle, wich can't be described by another number. But that doesn't mean that it is a number that can't be shown or reproduced in the real world. Just like a square with the area 2. It's sides are sqrt(2) long, wich is irrational. But it is just that. Very weird to explain but not as weird if you see it drawn on a peace of paper.

So what's your point? You could also find the area by cutting a circle out of a piece of metal, melting the metal and pouring the melt into a square mold of known dimensions, then measuring the thickness and then multiplying the area of the mold by the thickness and taking the square root of the result. However, when you're teaching seventh graders you start with the basics.

@@dhy5342 no you actually cant. You messed up slightly on your calculations.

because circumference is directly proportional to radius

Australia is metric

Ya got me, an ADHD patient

stop.

Fullus Retardus But you'll never get a perfect pizza in the first place because of the same reason.

He Who Judges oh shit

Of course you can a pizza with (Pi*r²)/6 area of slice of every pizza piece

The good thing is, it is made of atoms. Yes people, finite, rational and beautiful (just don't bring the quantum mechanics guys) ;)

You'll get 6.283 slices I'd wager.