The magic of Fibonacci numbers | Arthur Benjamin | TED
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- Опубликовано: 5 фев 2025
- Math is logical, functional and just ... awesome. Mathemagician Arthur Benjamin explores hidden properties of that weird and wonderful set of numbers, the Fibonacci series. (And reminds you that mathematics can be inspiring, too!)
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i hope math teachers will always tell their students the "why" rather than letting the students to memorise things. I wish i grew up with this videos on youtube.
+gerry chan This isn't some magic method to avoid memorization and grinding. In his video, he discussed the last of the three points he showed at the beginning. You need memorization and grinding for the first two.
Sorry, I have to explain what I mean of memorisation. It's more interesting and fun to learn why or how a formula came into being. Not just the algebra manipulation,but the story behind the equation. I hope you get my point.
There's one small problem to that: sometimes the explanation is A LOT harder to understand than simply learning (or memorizing) things. Take the formulas to calculate the area and volume of a sphere for example: it takes knowledge of differentiation and integration to understand how to get to those formulas. I'm not saying some things can't be explained. I'm just pointing out that there's another side of the story.
gerry chan I am so lucky to have a math teacher that has instilled that in me. He is amzing at what he does and has taught me to love math.
I had a great math teacher in high school. Mr. Vigurs, he didnt just teach us math, he taught us to look how math is in everything around us and to question and reason with everything. Not to just simply go through life being a robot.
Man I swear Arthur Benjamin is just a bundle of joyfulness and maths, what a guy
there's nobody happier than him when he talks about maths :D
F TV
He has a video where he so quickly solves super hard equations you might think can only be answered by calculators.
i agree 👌👌
Are you alive bro it’s been 8 years
He enjoyed himself while explaining this...
Amazing person
Its amazing stuff
Jay Rajput Made it enjoyable to listen to, and learn from.
This guy is like the Bob Ross of Math, so full of joy for what he does
He doesn't count.
If he was my math teacher, math class would be my favorite subject
😂🙌🏼
Nah Bob Ross is way more chill to listen to. This guy sounds like an infomercial
Hate maths in school ,but not anymore after watching this.
In fact loved it all.
mathematics is not just solving for x, its also figuring out y. lol. good one!
Boss nice
Clearly the equation depends upon two variables and this reminds me of the partial differential 😢
Jatin Batra
Y = why
Yaaay
Yeah comedian over here
This makes sense to me! I remember back in high school I'm always wondering the "why's" for the formula. I mean, math teachers force us to memorize the formula but doesn't explain to us why it was formed, what significance does it has, on what real life scenario we can apply it to.
That's actually by design. The government wants us smart enough to work the machines but not smart enough to become their competition.
Same here 2004 grad
2, 3, 5, 8 WHO DO WE APPRECIATE?
Top 1Percent FIBONACCI!
Suhail Mohd Dude, seriously?
God
Dinkan
Dinkle Berry.
I am not the biggest fan of math, mostly because my brain just cant comprehend it, but i couldn't stop smiling throughout this video. I knew maths could be beautiful, but it's so rare i can comprehend its beauty.
Treefrog Johnson
Perfectly explained!
+Gonzo ASMR they did use the word maths...jk
You just need a good math book. Math is always fascinating to me. So beautiful I believe mathematicians are inspired by divine intervention.
Love math because their is only one true answer so no one can argue about it which seems that is all we do now!
This is one example of a Ted Talk which just stops. It should have gone on for at least another hour!
W Mobberley yes sir. 😄
I gave this video a down thumb for saying "mathematics is science of patterns."
Tyrone Kim whoosh
@@tyronekim3506 whoosh.
@@alchemist6819 Why?
His excitement is so contagious!!! It's amazing...
Exactly he's super happy dude is making me smile too😂😂
I wish I had this guy as my math teacher. He actually makes it enjoyable and interesting. :)
me toooo!!!
Yeah, I've always had to get a tutor.
Thank the ancient Indians for Arithmatic it's where Fibonachi got his inspiration from.
Why? You would be learning Fibonacci all day every day.
People don't realize that we, as students must "Learn how to Learn" first!
Everyone was a student once, thats why I believe there is an alternative motive.
I'm 56, I still learn something new every second or third day.
*as americans
If u dont know how to learn how can you learn to learn?
💩💩💩
"Mathematics is the language of the universe." - Galileo
T. N. He spoke English? Hmmmm!
and Pythagoras
I dont think so like in doing some astronomical calculations in mathematics a lot of inverse calculations are involved but in physics derivations are used regularly so clearly u know which method of studies we use for that stuff so its simple it's not the universal language but yeah mathematics is the way to the universal languages Becoz we got the numbers and processes from mathematics so yeah it's partially correct
It’s the measurement of the known
Pizza mozzerella ~ pizza mozzerela rella rella rella rella rella -Gryro Zeppeli
We need more teachers with the passion of this man!
In the introduction to his book, Fibonacci (c. 13th century CE) makes the following revelations
1) "I am the son of an official working in Bugia, Algeria".
2) There was a colony of Indian Merchants in that city.
3) "It was there that I was introduced to Indian Mathematics".
Fibonacci further says-
" I loved Indian Mathematics to such an extent above all others that I completely devoted myself to it"
"I was also introduced to Greek, Arabic & Egyptian Math"
"But I found ALL of them, EVEN Pythagoras, to be erroneous compared to Indian Mathematics"
Fibonacci further says:
"For this reason, basing my book COMPLETELY on Indian methods and applying myself with greatest attention to it, but not without adding something of my own thought, I forced myself to compose this book.
I demonstrated everything with proof"
Finally, Fibonacci says:
" In my book, I have published the doctrine of Mathematics completely according to the Method of Indians.
I have COMPLETELY adopted the (Mathematical) Method of Indians because it is the MOST effective"
Thus, in his book, Fibonacci does NOT refer to #Fibonacci Series as "Fibonacci Series"
Rather, he simply calls it "Indian Series".
Unlike many other Europeans, Fibonacci was NOT a plagiarist.
He clearly mentioned his source and acknowledged his credit to ancient Indians.
Fibonacci's introduction makes it clear that he considered himself "Indian Mathematician" insomuch as he adhered to Indian Mathematical Methodology and contributed to it.
The real name of the so called "Fibonacci Series" is "Indian Series".
This comes from the horse's mouth !
So far as the so called "Fibonacci Series" is concerned, Fibonacci was only TRANSLATING the Sutras of Pingala (c.3rd century CE) and his commentator Virahanka who derived "Fibonacci Series" several hundreds of years before Fibonacci was even born .
I was very shocked reading Fibonacci's introduction. Why are these facts kept concealed?
A more important question. Why should it be called 'Fibonacci series' when Fibonacci himself does not claim to have discovered it and simply acknowledges Indian Mathematics as his source?
The precepts of Pythagoras and Euclid were forgotten in early middle ages and revived only later.
Yet, the credit always goes to Pythagoras and Euclid. Never to the later day Mathematicians who revived their works. Why is Pingala never extended the same courtesy?
I wonder why!
Fibonacci was NOT a European Mathematician, except by flesh and blood.
He explicitly rejected the European methodology of Mathematics. He denounced even the path of Pythagoras as "erroneous".
He followed footsteps of exemplary Vaidika Mathematicians like Pingala and Virahanka
Fibonacci does not describe his book as "European Mathematics".
He explicitly describes his book as " treatise on Indian Mathematical methods".
As such, it is hard to even consider him a "European Mathematician". He followed the footsteps of Vaidika Sanskritic Mathematicians
Reference and the source
i have used :
English translation of introduction to Fibonacci's book "Liber Abaci". Published in the scholarly journal Reti Medievali Rivista by Giuseppe Germano (2013)
two likes...
lol
@@mahemaatv1600 Number of likes or dislikes do not decide authenticity of facts :)
Our great Indian ancient mathematitians and scientists have always been underestimated and neglected . I barely understand the reason behind that .Its not only in the case of science and math but also philosophy and others. The European scientists and other westerners evolved long after the Indians and somehow got the ideas and knowledge from the Indians and later the sources were just thrown away . The Indians could have been in the lime light if our Medieval history was a better one , probably.
For us in Europe the numbers as Fibonacci made them known to us are called "Arabic numbers" and although they are based on Indian numbers, they are written in a significantly different way. Also for us in Europe we call it Fibonacci sequence, I'm sorry to see that it makes you so angry, but I think it's not so important ...
@ashish018690 Greatness is being kept hidden by the crooks who have control over academia so it becomes necessary to bring out the truth .
It's not the fact that teachers can't make math exciting. It's just that math teachers aren't trained to think like mathematicians. Even with a math degree, I can honestly say that I did not realize why adding the squares of Fibonacci numbers resulted in 8x13. It is a beautiful connection but it is a very obscure one that only classically trained mathematicians can see. You can't expect a regular math teacher to generate this kind of material for students because it takes years of mathematical dedication to get to that level.
derek du college math professors are too busy with protests for higher salaries
Mike Ross Lol, they should've gone to business school.
1337
+eman galea 1337
exactly and student have to take their own initiative for that
I have total respect for people who enjoy, understand and just get numbers and how they work. If only I was one of them...perhaps in another life I'll be able to get it :(
I get ya bud, I love mathmatics and theory yet cannot keep much interest when I have to do it myself.
+Josef Scott I don't think so, because I have a friend who can't get how fractions works, despite my hard work to make him understand.
+Stephen Mitchell you're missing out !!
*****
XD
Recently, my hard work had paid off!!
+xxSourWingxx Correct.i was once anemic,i still say math sucks,but i have thrown myself into it so now i am learning at an exponential rate (hehe) and i now understand HOW sucks.Yes wanting to learn does change it all,and one of the best things i discovered is that it does translate and link with artistic,spiritual,opposite side of the brain type activities and realms.Which i always thought were opposed.No,to sound how it sounds,i see now that all is one.All is 1.As this video shows for example
Fibonacci was also humble to acknowledge that most important concepts in his Liber Abaci were those which were followed by Indians since ages before him. He thus called it 'Modus Indorum'. Also, the concept of Fibonacci numbers itself is an application of Meru Prastara(now know by many as Pascal's triangle), which was given by Pingalacharya of India (dated before 200BC). So, it is essentially an Indian knowledge which was introduced to Europe by Fibonacci. Love for math, India and Fibonacci..
That's the reality but who want to know the idea come from India plus the Arabic numbers and you became Fibonacci
yep, in his prologue itself in liber abaci Fibonacci acknowledges this.
Yet the west and those Indians who are stuck in white colonial mindset ignore this and pretend that Fibonacci had no connection to knowledge of Indian mathematics
I think I could have loved math as a child in school, but my relationship with math was controlled by fear and anxiety. This guy would have been a good teacher.
Why on earth is this only 6.25 min?! I was really getting into it then it ended! Aren’t ted talks usually 15 min?! So sad over here.
It should have been 16:18 min, it would have been the perfect length
@@leontineforssblad4848 🙌🙌🙌🙌🔥
They want us to do the math...... I’m pretty sure the answer will lead us to the full version of this video
He left you to figure out Y (why)!😂😂
I'm pained😭
Fibonacci said in his book that he learned the fibonacci from indian text by hechandra(he also learned from old indian text)
Sanskrit
Sanskrit. Inspired by hermes trismegistus. Hermes deciphered sacred geometry and arithmetic from the Pillars of Lamech.
@@chrysthain3853 bullshit
I would like to meet this guy for one evening and show him how I and a number of us look at the fibonacci sequence, what it can teach us and how it links to wondrous things... we all have it in us to look at numbers and find patterns. This presentation was very nicely done indeed and I trust it sparks interest in many people :) Great work.
how do you look at it?
Who are "you" (plural)? You have sparked my interest, please PM me if you are willing to explain, I am very curious.
We all have it in us to look at things and find patterns where none exist you mean ;)
Penny Lane Even blind people could see these patterns with the eye of their mind. I pity you ... but there is hope for you too.
Penny Lane Don't mistake nature with conspiracy theories. There are a lot of recurring patterns in nature that are not just coincidences.
at 3:20 he missed a pattern that arises too: 6+15 = 21; 15+40 = 55; 40+104 = 144; all these are fibonacci numbers separated by 2 distances on the series: 21,34,55,89,144...
That's fantastic, nice find!
+sergioviana84 Maybe he had time constraints.
He also didn't mention that Fibonacci numbers separated by two distances sum up Lucas numbers. Ex: 1+3=4, 2+5=7, 3+8=11, 5+13=18.
You need to watch that part again, he did not make mistake or miss anything. Listen better.
The Fibonacci numbers were first described in *Indian mathematics* as early as 200 BC in work by Pingala on enumerating possible patterns of Sanskrit poetry formed from syllables of two lengths.They are named after the Italian mathematician Leonardo of Pisa, also known as Fibonacci, who introduced the sequence to Western European mathematics in his 1202 book Liber Abaci.
This Fibonacci joke is as bad as the last two you heard combined.
what do you mean?
Sergio Airaldi
Fibonacci series goes like 1,1,2,3 here 3 is the sum the of the previous two numbers that is 1 and 2.
Hope you get it
Yeah explain your joke it only gets funnier
0,1 ? Explain this. Now. How do you make a zero?
There is no origin, it's a definition
One if my best TED talk videos I have ever watched
Is there any other trader watching this video in 2021 and thinking once more "its just amazing how I use Fibo in my charts and so often the price movements reach its Fibo level"? Great video, great professor!
"Mathematics is not just solving for x, its also figuring out y" Loved this quote
We need more inspiring and passionate people in the world like this man who see the beauty and enjoyment of the universe
It's the interpretation of mathematical results that often gets overlooked. A lot of connections may be found after interpretation of math results....For example the connection between Golden ratio and Fibonacci numbers was beautifully put.....Good talk👍
yo thanks Arthur, never heard of fibonacci growing up and this is fascinating. i failed calculus twice and barely passed my statistics. anything with numbers i get frustrated and then I get angry. Broke my knuckles few times when studying for statistics..
but this video man..ima take notes and show this to my 8 year old cousin and make sure he doesn't end up like me. thanks a million you saved a child.
u mad bro
Lol now chill out a bit
Forget about all the bs above. Do whatever you feel like doing don't let these people get you
lol just because ur bad and get mad, doesn’t mean a million children will end up like you. There are more than a million people who know and understand the beauty of the Fibonacci way before this video was uploaded
Love to you bro.
Fibs are used everyday in trading, and it's amazing how often price turns at the golden ratio (.618)
Gyro wants to: Know your location
Giorgio Ricciardi nice jojoke
The Zappeli's family secret is ruined D:
Arigatou gyro
*Location: Manhattan island*
Brilliant talk!!!
And Arthur is so true. Knowing math it is so easy to forget how to get across that "why?" to our listeners (if we have any left).
why math? because its THE universal language
“Meh”
- Music
navyguyinva ‘Music is Math’.
Indeed.
language of the gods
Video Vlog Jones its a track by Boards of Canada, have a look.
Teacher: Calculators Are Not Allowed
Me: Brings Arthur Benjamin
I'm basically the only member in my family that loves to solve puzzles and appreciates mathematics. This video blew me away :D
me too lol
Just imagine if only ever math professor was as enthusiastic as this guy. Maybe 90% of people wouldn't hate math, how cool would that be...
Very impressive. Homeschooling a 5th grader and came across this video and we were BOTH inspired! Thank you
I imagined that forex could be so tasking, i kept coming back to these youtube videos for more information.
This clip was so helpful.
Trading as a beginner can be rather confusing and complex and if not properly guided by an expert, it can result to disastrous losses but with Mr Arlen Haywood and his effective strategies, you are assured of your profits always.
I made profits of $12000 after starting up with a capital of $2500 trading with Mr Arlen Haywood, he's the real deal.
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“Why do we learn mathematics?”
So I can spin a steel ball
Is that a Jojo reference.
Nyo ho~
He's one of the apt teacher to teach Mathematics, seeing his joyous nature. Respect sir.
Fibonacci numbers and their sequence first appeared in Indian mathematics as Matrameru, centuries before the Italian mathematician Fibonacci was even born.
The golden rotation and a green ball-shaped object in the middle of that thumbnail...coincidence? I think not
Could it be made of... steel?
@@savioqueiroz1828 Good day to you, sir. Please tell me if you've found any others on your endeavors
I'm glad to see a man of culture in this comment section
Ah I see you are a stand user of culture as well
just passing by to look for reference to create my infinite spin
This man has an infectious passion for math and it's always a good thing when the golden ratio is brought to our attention
The Fibonacci Sequence is nature’s pattern and the trademark of a creator.
Yes. It is strange how people don’t see that. They are compiling evidence without coming to a conclusion
yeah people will never be able to create sentience of any kind im talking about a.i of course cause consensus cant be fully explained and that is why it needed to have be created by something greater humans are amazing we can make medicine artificial hearts vaccines but yet we cant truly explain consensus the big bang yeah right then what caused the big bang scientists ! its amazing that god gave us a choice to not believe in him like he wants to test how loyal you are. but besides that i believe in good of any kind everywhere with or without the influence of religion just be good god no god good is always present in many religions if you see a opportunity to do good or stop evil do it with a positive intent i dont care atheist nihilist Satanist do good no matter how hard it may be the power to change the world for good comes from us all of us there is no force greater than kindness cause if were just constantly tearing each other down no one will ever be HAPPY
@@artwithleah4145 yeah people will never be able to create sentience of any kind im talking about a.i of course cause consensus cant be fully explained and that is why it needed to have be created by something greater humans are amazing we can make medicine artificial hearts vaccines but yet we cant truly explain consensus the big bang yeah right then what caused the big bang scientists ! its amazing that god gave us a choice to not believe in him like he wants to test how loyal you are. but besides that i believe in good of any kind everywhere with or without the influence of religion just be good god no god good is always present in many religions if you see a opportunity to do good or stop evil do it with a positive intent i dont care atheist nihilist Satanist do good no matter how hard it may be the power to change the world for good comes from us all of us there is no force greater than kindness cause if were just constantly tearing each other down no one will ever be HAPPY
Looks like mathematics is the creator not the god of Christianity
3:32 He was expecting the crowd to say Fibonacci, but they didn't so he said it himself lol
The original name of Fibonacci number is "matra meeru".... The original credit goes to pingala ancient hindu mathematician
Yes. Fibonacci's Liber Abaci was written in 1202 AD and Acharya Pingala, the Poet and Mathematician from ancient India written about it in 450 BC. Even Fibbonaci in his book mentioned that the number '0' was invented by Aryabhatta, another Mathematician from Ancient India.
Credit goes to pingala
*The spin, Johnny, the spin*
And this proves jojo fans are everywhere
1st time in history that I understood math! Omg! And it was so easy and fun. I like it! Never is to late to learn.
I was useless as a kid at maths and went through life believing I was dumb. I'm now 63 and graduate next month with a BEng in mechanical engineering and the maths was fantastic to learn!
This was such a fun Ted talk, I love how he made it easy to follow along. Fibonacci Sequence is one of the few Math I actually enjoy.
It's fun to learn from someone who seems to be having fun. Thank you!
Me: Watches two Ted talks on repeat
RUclips: here's another Ted talk in your feed
Fibonacci
I really love Arthur's presentations. I am a trader in the currency and indices markets, Fibonacci is one of my main tools for the future projection of price and support and resistance of these markets and are extremely accurate. Amazing subject and one which should be taught more in the schools.
Same here. I was looking for a video to explain the nature of fractals and Fibonacci numbers and this talk explains it perfectly.
Mentioned in Indian mathematics dating before 200 BC by Pingala and Gopala.
Try in the casino next time ur in one, put 1 on column 1, it loses ok then 1 again on column 1, it loses again , so ur down 2, now put 2 on column 1, it wins,,,, u lost 2 dollars on 1 st 2 spins say, u won 4 dollars on 3rd spin profir 2 dollars, put in separate pocket and start all over, a good method for roulette in casinos , keep going using next number in fibinaci sequence til it hits , put away profit and start with 1 dollar again😢 practical example of where sequence can make u money , tip, keep ur bets small , when u make a target say 50 dollars move to other roulette table
I'm in love with the way he explained it and his way brought so much of fruit into my brain...though I was very bad at mathematics I hated it so much but slowly it's seeming to be like game now
Thank You!
Whenever I told a teacher I didn't understand, they would show me exactly what they did before
but I didn't understand it, not because what the teacher was showing was not understandable
but because I could never wrap my head as to how this got to this.
lol
I have been researching Fibonacci sequence and golden ratio my entire life and I've never thought of it like this. I always apply φ to concepts like decagons, pentagrams, golden gnomes, golden triangles, golden angles etc. but I never realized the relationship between the squares of the Fibonacci sequences. I guess that could be an approximation of φ^2=1+ φ. Now I am inspired to take another step into my golden ratio journey and re-discover the art of geometric applications of φ. From now on I will find y, not x.
学生時代に見たかったなぁ。たった6分くらいなのにもっと知りたいと思わせてくれる。
i got goosebumps... and i got this sincere smile i sometimes get while watching my favorite cartoons or tv shows... over a video about fibonacci numbers. thanks ted
I have always loved maths, and this is an awesome example of why.
Indian rishis discovered this thousands of year before and captured it in a shlok.
Proud to born in bharat bhumi
This was first found by an Indian Mathematician and he failed to record in Books with his name ☺️
You look so sexy
Hemachandra numbers
@@DL-ik2pl yes or pingala no
True. It's called Maatru Meru in ancient Sanskrit. Meaning Mother Axis around which life revolves.
@@fibonacci3512 what do you mean?
Fibonacci number is found in a textbook written by an ancient Indian saint Pingala(200 BC). and it's discovery is said to be much more older than that text
and is known as Maatra Meru in Sanskrit. while Leonardo of Pisa(Fibonacci) came out with his book" Liber Abachi" in the year 1202.
I have watched this explanation many times, I feel everything was born with a math theory.
Wish I was born in a country where there is such a beautiful education system. Here, we are judged whether we are able to crack the Engineering or Medical entrance examinations.
Really?
India?
@@mrunalvora209 hmm...bd also.
Ahh an Indian
@@subashs.p9190 HMMMMM
Fibonacci Numbers is actually invented by Indian Mathematician Pingala 1000 years before Fibonacci.
You are right dude
lie
@@yellowbasket2334 why don't you do some research about it?
Inspiration is what you need if you want to teach effectively, as demonstrated right here. Bravo!
I liked the talk, but because of the rather short duration of the video, I got the idea that the speaker was just getting started, just gathering steam, right before leaving the stage. I guess what I'm saying is: as a fan of the golden ratio, I would have thoroughly enjoyed a bit more 'digging'.
PS: What's with the bite-size TedTalks anyway? Isn't that what those animated TedEd videos are for?
This should happen in our schools... someday someone will learn this hopefully :)
Virahanka and Hemachandra also deserve appreciation, they used this sequence many years before Fibonacci
The golden rotation!!
Arigato Gyro
That end was Sad😭😭😭😭😭😭😭
This 6 minute video of Fibonacci no is better than my last 12 yrs of school age learning about maths. I wish this guy would be my maths teacher,than I will never get bored
Interesting, this helped me get a better understanding of everything I was learning back in school but it did it within a blink of an eye really was some interesting piece of information that I can now use to crush Forex.
This is not a fibonaci number it is a matrameru ,this is a hindu maths technic, if you want learn ,use a pingla sutras -author pingla maharishi ,you find all answers
It's Indian maths, taught to the west by Fibonacci
Art is a wonderful colleague to have. He spreads the joy of mathematics in a fun and compelling way.
00:12 same thing I kept asking my teacher
😂
The Fibonacci numbers were actually discovered by Pingala as Mantra Meru
Correct, multiple ideas in mathematics were independently discovered by mathematicians of different cultures.
@@456MrPeople fibonacci didn't discover it anyway. He himself gave credit to Indian mathematics in his book liber abaci.
Takes me back a long, long way. Love it.
NUMBERS RULE THE UNIVERSE !
He talks like Sheldon Cooper
Ur right
Teddy Mwalo I was thinking this too 😂😂😂
Who?
I'll give you one better...Sheldon Cooper talks like him
actually you should touch your ears before taking the name of great Dr. Sheldon cooper
and bye the way its Dr. Sheldon Cooper ha ha ha..........
I’ve recently discovered the wonders of maths
In India they have goddess Saraswati. She unites music, art and mathematics together.
these sequence were already in indian mathematics before fibonacci.
yeah he did say western world though
As a dentist I relied on these concepts for esthetics and more. For over 40 years.
This number is invented by pingala hindu teacher which is 2200 year old
Perhaps it is not enough to discover something, but it is necessary to fix it in a coherent and rigorous way as mathematics requires
@@Voncrapoten haha stupid logic
Amazing, thank you. I wish my math teacher was like him, but mine was some selfish dude, and that's why I started to hate Math, but I always applaud to those folks who love math.
In ancient times, numerical representations were different: the number 2 was understood as 3, 3 was seen as 5, 6 was represented by 8, 7 was regarded as 13, 8 as 21, and 9 as 34. Among these, the most powerful numbers are 8 and 37.
Thank you, now i can evolve tusk!
hmm we have two things in common lol
The 2 thousand dislikes are from maths failures .....
This video should be shown to any class of students after they learn to add, subtract, multiply and divide, before they start algebra.
The sequence was initially observed in nature by Pingala, an Indian mathematician, who named it "Maatrameru." He was noted for setting the number of syllables in a metered poem (and others) using binary numerals. Around 200 BC, he also discovered and used the "Meru Prastarah" extensively, which is known today as "Pascal's Triangle."
*Remember lesson five Johnny*
Lol
Lesson 1
Fact is this Fibonacci series explained in *Sanskrit text* many years ago , when Leonard Fibonacci was born 😊
In school I feel like the teachers push us through units by giving us equations to memorize! That definitely takes application away. Teach me how to think please.
Think about it in this way, the best distance to bounce the ball to pass to the other guy is 1.618 from the total distance. Another words its a little past halfway.
Dear
It is ok not to be able to think...it is ok to memorize stuff and move on in life...Dont let this neo- educational stuff bother your existing patterns..but it is very good to learn new things..
Some advice: You will likely never learn to think if you spend your days with your nose in a smartphone.
@@ronalddump4061 I will take your advice!
(-;
Where are all these teachers??? We always get junkeys who just memorized everything but can't give taste of it
goverment ran education drove them away.
joey cruz
these types of teachers even when you don't get it you just make an effort to stay on track with the subject...hahaha some days inside the class i wonder if the guy teaching me didn't buy a Phd on black market
Most teachers also have to teach subjects harder to comprehend then the Fibonacci Sequence. Ex:It's a bit harder to use the formula of an ellipse in a real life situation where most people can understand it. It's part of a conic section, have fun with that unless you are an engineer building a bridge or something.
I feel positive regarding maths now 😊😊😊
Where was this video all my llife
When you're a member of a neapolitan executioner family