Being a flat earther is more of a thinking process, rather than the belief the earth is flat. Its about not trusting everything you are told at face value but rather using your own logic and perception to discover the world and reality around you and to question the authority that is indoctrinating your psyche. This is a tool that is increasingly being overlooked in traditional western society and hence the need for balance by reinstituting a more critical thinking process. But of course some take it to the extreme and actually think the earth is flat because they themselves can't prove its round
@@ThisIsSolution No, it's not, it's just plain stupidity. Questioning whether the earth is flat or not is a thinking process, but concluding that it is, and thus being a flat earther is just exceedingly stupid, not even worth arguing about. Your definition would fit well on the question of religion though, where the widely accepted idea that some god exists is utter nonsense that has zero proof to back it up.
@@ThisIsSolution Flat eathers reject math and science with the argument but I do not see the earth is round. They reject that planes fly from Australia to the US in 17 hours and about the same to Europe and about the same from Europe to US west coast. If it is flat it means they deliberately would have to waste a lot of money on fuel to keep up the pretend as you would otherwise have to add up some flight times. All to keep up some big conspiracy, a global conspiracy with all the conflicting intetest. Lasting for hundreds of years now. If you cannot understand how stupid that is you are not a critical thinker, you are just dumb. Critical thinkers listen to reason, yes you can believe in government cover ups, you can even make an argument the moon landing was fake, but to say the earth is flat, that just makes you really dumb.
This is the only teacher I’ve seen who actually explains what the theorems mean rather than making the students just memorise the formula with no understanding of what they’re actually memorising
That's an interesting statement. For a lot of teachers, it's a decision based on the level of the class. For a motivated and interested class, teaching the the meaning and reasoning is easy, enjoyable and greatly beneficial. But for a class that just doesn't care (lower ability students) or won't do anything with maths beyond the exam, the priority is to get them through the exam with the highest mark possible. Those students will just need practice and may not care about the reasoning. Plus, we are only seeing a snippet of Eddie Woo's teaching. Maybe he doesn't teach the meanings with every class either. (I'm not wanting to criticise - he's a very engaging and enthusiastic teacher, with very clear explanations! But what you see on RU-vid will only be a snapshot of his teaching.)
I’ve used Pythagorean theory in construction almost daily, layout of foundations, roof rafters, staircases. I’ve always known a2+b2=c2, but this guy has explained it so that a 43 yr old carpenter understood it. Nice job mr woo
I'm surprised that he went into such a complex proof, although maybe the math was too advanced for his students. Using his diagram, the total area is (a+b)^2 expanded to a^2 +2ab+b^2.. Adding up the areas of the triangles' area =2ab. Equating the areas yields a*2+2ab+b^2=2ab+c^2. Subtract 2ab from both sides yields a^2+b^2=c^2.
2 года назад
When a student excitedly screams the answers as fast as they can, you know that you've succeeded in engaging them. :) In general, the entire atmosphere in these lessons is great, often you can hear people in the background talk to each other about the topic, because they find it interesting, or they ask questions that go beyond the content of that lesson.
This is a guy who loves his job. It’s clear to see he loves the look on their faces when he blows their minds. I hope to be as happy as him in my working life when I get older
if you learned Pythagoras' theorem in grade 4, you've already learned the prerequisites for it. It doesn't change your ability to teach. How do you think children pick up second languages at a young age faster than the average adult?
@@ThisIsSolution and yet that could also be a rectangle. The main difference between square asn rectangle is that a squares sides are all equal but that doesn't apply to rectangles. Squares are rectangles but rectangles aren't squares.
I can’t believe that an incredibly simple concept like the Pythagorean Theorem, one that I’ve been using for countless years, has blown my mind. Goes to show how effective a clever and fun lesson can be.
howard baxter First year student here. I just love his way of explaining stuff and I can't help but imagine how many more mathematicians we'd see in university if it were taught like this in high school. So many people think they hate math, when in reality it was just taught to them in such a poor way
I am a 32 year old moving to a role in forensic collision investigation. I have not used math like this for 15 years and having to re-learn it all. This explanation is fantastic and your enthusiasm with the students is brilliant. Nice work!
This is one of the most eloquent demonstrations of this proof I've ever seen. Superbly done. It's so especially important too, for such a useful theorem. This is so applicable in so many situations - it's one of the two formulas that I make sure students know before they do an important test like the SAT or ACT, and furthermore can think about how to apply to other shapes or use in combination with trig to figure stuff out.
I think this is the reason why people from Asia usually do better in mathematics than the world population in general. Not only do they just what the formula is but how it is derived. This helps get a better understanding of what math is in instead of learning only some general formulas, which will help later when solving analytical problems in the future.
Is sad that once you're older you appreciate what you had when you were younger. I had teachers as enthusiastic as him, but took them for granted. He is a wonderful teacher and im sure his alumni know that.
izzydjinn76 I agree. Most of my high school math and science were awesome at teaching and passionate. Once you get to college and beyond, it’s very rare to run into teachers who are really good teachers.
I don't blame the students but I agree with you. When you're forced (especially by law) to do something it really sucks the life out of doing that particular thing. Lots of people seem to hate it when you mention the word 'why' and we're all forced to blindly accept and follow existing systems set in place. Hopefully I'm just reading too much into this but that's the impression I get from them and a lot of what I heard when I was in school were classmates who asked "when are we ever going to use this???"
Im in second year engineering. I've seen this proof countless different ways; but I just can't seem to stop watching the way this guys teaches. It's almost mesmerizing
Senior year university engineering student. Never saw anyone prove this beyond “a^2+b^2=c^2 and it’s just always true because I say it is” until now. This is truly amazing how clearly and explicitly this is explained.
3:33 I felt something in my brain just sort of "pop" into place as it finally recognized the polynomial that would reduce to the theorem. The fact that the proof here was then done graphically instead of algebraically is even more beautiful!
Aaaaaaaaaaaa this is so amazing! I'm blown away. This was never taught to us in school. No wonder I find math boring. If there were more visual proofs, I think I would have understood math more. This way of looking at phythagorean is really intriguing for me. I can't express how excited I am rn.
Very few can we call a true “math teachers” and he is one of them! He is very well engaged with the students and the passion is very present in this lecture! Job well done sir!
this is so well explayed. When i was explained this for the first time, my teacher just said: a^2 + b^2 = c^2, and said that thats the pythagoras and just gave us some problems to solve. This guy on the other hand, explained it very very well, with the shapes, and how you can shift them etc. Keep it up Eddie Woo!
I have a degree in mechanical engineering and never learned this, just memorized the equation. I really wish more teachers taught with visual representations, it helps so much.
This video did nothing for me. Seeing it like this doesn’t help. You still have to use the equation. Unless you _need_ to derive it, it’s a waste of time.
@@jacobh674 Okay Jacob. If you can’t see how understanding the way the equation works doesn’t help with comprehension, then I don’t know what to say to you.
The fact that so many people are amazed by the fact that the teacher showed visual proof of Pythagoras theorem makes me realise how good of a maths teachers I got in my school.
I love how he blows me (who already understands Pythagoras's theorem) away with this amazing example. I have never and most likely would never have looked at it from his perspective. Amazing video, thanks.
The Favourite button could be considered Love I suppose. RU-vid needs something other than Like/Dislike it's too polar of an opinion. A full 5 Star system doesn't work either, because most people don't vote like that. So I don't know what would actually work.
theres no purpose of 'favorites" its not a love button. tell me what purpose is it to put a button in your favorite section to see it again later, just search it up, or change the name of favorites to 'stored videos'. A real love button would be like some heart or something that shows how many people love the video, overtly. favorites are like private personal buttons that don't give anything to the uploader
I don't know how i ended up here, but seeing such amazing teachers gives me hope for the future. Please don't give up on your job, and thank you for what you do
Thank you Professor Woo. I had to watch this few times to fully understand but the break down and explanations you gave sunk in and I'm understanding a lot better.
This is such a great way to make them understand Pythagoras. Much better than some teachers I know giving students numerical examples to test and to move on
personally for me he explains it way more complicated than just a simle formula. not saying it's a bad thing, but it's easier to memorise a2+b2=c2 and go on. well at least this is the way I did it ~20y ago, had no problem with that and remember till this day. it's a bit concerning how these people will do in uni math class when it will come to matrix or f(x)
+Edd Green, what he does is make them understand the principles behind the formula, instead of memorizing them like our teachers did to us. That's why I am here, I know the formulas, I'm seeking understanding of them, and Eddie Woo's explanations are really satisfying.
Edd Green, by showing the relationship with visuals and also breaking it down bit by bit instead of just giving them the simplified answer, he shows them the thought process behind it. Knowing that thought process can make it easier. My sister had a really hard time understanding x and how to work with it. I, being a year younger had to step in and teach her. If she had Eddie Woo as a teacher, her school life would've been much easier.
Werewolf211, in no way I'm saying Mr.Woo is doing something wrong. I think it's a realy good method if the rest of the teachers would use it, what I'm trying to say is that his students are more likely to strugle in future studies, where will be less engaging methods (e.g. "figure it out yourself" method).
His way of teaching seems thought provoking to me, so I don't see how it'd be a problem. In mathematics of all things, simply following a formula is extremely bad. There are some thing I know how to count, but not why. While my results wouldn't be lacking, it's a horrible thing for future studies. Besides, if you have a better understanding of something, it's also easier to remember. If you can't explain something to someone, you don't understand it well enough.
Thanks so much! I'm doing my Year 8 Ignite currently and we just learnt about congruence, transformations, and proofing and this helps so much for later on this year!
I find it excellent how this teacher uploads his classes. It has so much benefits to everybody. It makes the students behave, it forces the teacher to give good classes (and hell he does), it gives anyone with an internet connection the ability to attend his classes. I'm glad this channel has 126m subs. Keep it up man, you are a great teacher.
Also coming from a young teacher, it should inspire other teachers to find a way to engage the minds of young people. Maths isn't hard, just need to explain it properly.
I would’ve love to have this kind of teacher when i was at school, he makes everything so much easier to understand! Keep up the good work, love all ur vids! And it made me understand that i was learning formula by heart without really understanding where they come from :C
My teacher teaching this: Ok here is the Pythagoras' Theorem formula a^2+b^2=c^2 used to solve right triangles. The C side is always the longest side. Now make a right triangle and measure it. Then solve it with this formula making sure to label the long side as C. See, you can solve the longest side without a ruler. Now, open your book and do numbers 1-50. If you don't finish in class, I want it done tomorrow morning. The teacher then sits on her computer for the rest of the class.
Very easy to understand explanation. You are very passionate to teach them the theorem and hence very energetic. This is what makes a teacher a perfect teacher.
At 4:38 the quick solution is to equate the area of the big square to the summation of the area of the triangles and the area of the smaller square. (a+b)² = 4(ab/2)+c². That virtually cuts out the last 7 minutes of the video and cuts right to the proof. a²+2ab+b² = 2ab+c² -->a²+b²=c²
This teacher right here….magnificent. I can just see his love and passion for math. I want to be like this when I grow up: passionate about what I do. Such a role model. Well done! 👏👏👏
I learned Pythagoras' Theorem without actually learning it.. I'm realizing this now at 25 years old. You are an incredible teacher, and the way you allow these students to see what's actually happening is just fantastic and I'm jealous of them
professor woo, gcse student here, you're helping us all over the world, and it's great to see your interest in mathematics and hopefully we'll all cultivate the same interest for it as you do with time. thanks eddie woo!
I want to go in to his class. This teacher is just wonderfull, interresting and just awesome at his job. This is what teaching should be. Big round of applaus for him!!
This video is 11 minutes long. I wonder what happens in the other 49 minutes of the lesson. Probably a lot of questions for the students to work on, while he helps people understand who didn't understand his explanation.
Ok like honestly, he has such an engaging way of teaching and he really offers abit of a new perspective on the stuff that I've had to memorise just because I couldnt understand or visualize how they work. His pacing is abit slow, sure but its a good thing cause it gives everyone a chance to be caught up and not left behind and confused like I often am. Great teacher. So much better than the one I have. He is the kind of teacher that would make math fun rather than a headache.
I really liked the amount of engagement this teacher fostered within me in just 10mins. I am an average student. The only reason I was topper during primary school was that none of the math was ever hard. But in middle school the real math hit me. On top of that, the pandemic restricted in-person classes for almost 2 years. Which means my entire 7th and 8th grade went to waste. Our 8th-grade finals were conducted in school and I did not do well in subjects like math, chemistry and computer, my weaker subjects. Except for those, my grades have been more or so alright. Based on the book I got from my seniors we have Pythagoras theorem from 9th grade onwards. I wanted to cultivate an interest in Math. Therefore I am glad I found this teacher. In my school teachers only did the exercises and never told us how it was formed in the first place. If we were unable to understand or do some sums we were expected to go to extra tuition and take help from the teachers. The tuitions were never any better than the schools. The same students would reach home after 6 hours of schooling and then go through 5-6 hours of tuition. No real engagement or interest. As someone with a lot of visual ability, excelling in arts and creativity, I came to know how visually studying benefited me. As I am starting high school I hope to reach greater heights and be more than an average student.
Hands down, THIS demonstration is the best visual proof of the Pythagoras Theorem. Love this guy! Wish I had him as my high school teacher. I hope there are more math teachers out there now teaching todays young ones how to do and love math. Great stuff!!
Nikolas Tol That’s like me in Geometry... ”Two parallel lines will never touch. What is the rule that says this?” “It’s because the definition of the word ‘parallel’ means they will never touch.” “No, what is the rule that proves it?” *blank* *look* 😐
@@Name-ps9fx technically speaking, parallel line can meat, just not in normal geometry. A somewhat good example of this is a globe. If you take the longitude (the ones that run north and south), there technical definition is that they are parallel at set degree away from the prime meridian at the equator. They are only parallel at the equator do to how they work. They technically not parallel lines (technically sphericalg geometry state no parallel lines exist, but I dont understand spherical geometry enough to understand why. Perhaps they just mean of the lines is as big as the biggest possible straight line). Projected geometry is a lot more complicated, and state that parallel lines intersect, sort of. Basically projected geometry take the fact that the further away something is the smaller and closer to other objects it appears to you. If given infinite eyesight with an infinite flat plane, at some point two infinity long paralle line, no matter how far away from one another, would intersect at a point if you looking at the plane from slightly above it (so your height). This point, the horizon, is called line at infinity and is treated as real as all other points on the plane. All parallel lines meet somewhere on this line, with all non parallel line meeting somewhere on the plane itself. Note that any moving changes the line position (height, rotation, walking, and so on), and extending past this line technically enters spherical geometry (this has been a quick and probably oversimplified version of this problem and projected geometry).
I do have "infinite eye sight". I can see light from as far away as it can travel in sufficient quantity and intensity for my eyes to perceive. For instance I can see stars that are billions of miles away. Yet I may not be able to see a candle a few miles away.
It's a square because that is what "we" have all agreed to call a shape with 4 equal sides and a 90 degree right angle. If "we all" agreed to call it a triangle then that's what it would be. And the shape that we currently call a triangle "we all" could agree to call a square. And so that is what they would be.
We aren't actual dumb people, humans only absorb about 20% of what someone says verbally. If teachers taught like Eddie Woo and used cut outs to help enhance learning (visual aids) that 20% would increase. People learn at different rates as well so therefore some will get it quickly and some will get it very slowly. No one is academically dumb, the only things people do that are dumb are the ones where they don't engage their brain before they act.
this really demonstrates the difference between a person who learns to teach, and a person who learns a discipline, then teaches it. We have too many 'teachers' in our schools. We need more 'masters of subject' who then decide to teach. masters can explain topics articulately and in simple terms. and that helps students.
@@fantasylover784 the boring class I've ever been in has been math. The most interesting class I've ever been in has also been math. It really depends on how it's taught and who the teacher is.
@@TheTamrielDrunkard I wish I'd some interesting teacher ...... But trust me, when you study maths yourself, practice, and solve problems by new methods , you can't help yourself loving maths .....
It's like watching a magic show. Confusing yet mesmerising Simple yet mind blowing Edit : I've got it. He's a *mathmagician* ....I'll let myself out now...
I find myself watching all of your lectures even though I already understand it all. Visual proof is so powerful. I only wish you had overlaid the green triangles on the blue square to further demonstrate the point.
I thought about it another way using that arrangement of four triangles. The area of the inside square = The area of the outside square - the area of the four triangles c^2 = (a+b)^2 - 4(ab)/2 c^2 = a^2 + 2ab + b^2 - 2ab The 2ab and -2ab cancel, leaving the theorem behind: c^2 = a^2 + b^2
Awesome teacher! Many moons ago when I was in geometry I learned the theorem but I did not learn it visually as you taught it. Very cool ! Keep up the good work sir, we nrry great teachers like you... Your energy and enthusiasm keeps them interested, and I love how you make it interactive with them rather than just lecture.
Ooohhh my godd!! This was just woww!! The teacher's expression his interest showed how happy he was teaching his students.... Best part was that he just not made them mug up the formulae and the way the student shouted the answer showed their interest too 🤩🤩
If you make the class exiting, you dont have to worry about the students not behaving, because they listen to you because you make it exciting. Amazing to see this teacher.
Not at all, the education itself should be entertaining so more student will be more interested with science, sadly the way of teaching mostly is not as entertained as it should be...
I'm forty eight years old, and I had A teacher in middle school that you remind me of. I often think about him, and how incredible he was. You sir are just as incredible, and the impact you are making on these kids lives is beautiful, and lifelong! God bless.
That's a very neat proof, I've never seen it shown like that before, will have to remember that one. How I wish my school teachers had the passion and enthusiasm this teacher has!
Teachers in Australia often teach across grades! I've had the same maths teacher by pure coincidence pretty much every year of high school (which is middle school plus high school)
Damn I really wish I was in his class. At least this way, I actually _do_ understand _why_ these theorems exist and not just knowing bc it's a formula, but bc there's an actual reason for it.
Mr Woo, if you happened to read this then listen up...u are the best of them all.. Ur work is great and I'm so lucky that I've got a chance to learn from such a wonderful teacher like u.. I anyway liked math, but u made me love math..I'm so happy..☺🙂
Fantastic way to teach. This is how every teacher should teach. Congratulations and THANK YOU for being such an example as a teacher. It's quite strange why people with no devotion to teach choose to be teacher. Mr. Eddie Woo is one of a kind, he is a TRULY Teacher.
When I learned Pythagoras Theorem in school, they just teaches us the formular and we head to remember it. That was all. Until today I know the Formular and that it works but no one ever taught me, why it works and what's the logic behind this Theorem. It's really interesting and I'm happy to learn this now, even if I'm close to 30. I wish I'd had a teacher like you. School would have been a lot more fun and not just the most hated time of my life.
@@gunamerstravels Teaching is a profession very much alive, so it should be 'if every teacher "teaches" like that' unless you're referring to teachers of the past.
@@leangaolou This is why I wish people were more meticulous with their grammar so no one gets confused or misinterprets their main intention. I don't know what Kimchi was trying to say as I had thought he/she was referring to the past tense...(from he/she's personal experience). "The world would be a better place if every teacher was to teach like that". (Would have been more easily to understand).
I was taught to memorize the equation for Pythagorean theorem, but now I have a class that goes over theorems. My professor is great, but I feel like I have a better grasp of it now with the colored shapes. Thank you 🤓💕
Eddie...I hated math in high school...but after watching your TED talk, I'm going to go through every one of your videos and start from the beginning again!
