The Magical Disappearing Square

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  • Опубліковано 23 січ 2025

КОМЕНТАРІ • 10 тис.

  • @speedpilot
    @speedpilot 2 роки тому +35187

    it's not even the optical illusion that fascinates me, it's more the pure excitement and dedication this teacher has while trying to explain something to his students. 10/10 for this teacher :)

    • @BuffaloNickel9
      @BuffaloNickel9 2 роки тому +155

      Yes he was most excellent, was he not?
      Very passionate!
      The best two math teachers I ever had were passionate in this exact demeanor during my sophomore (Geometry) and junior (?) yrs.
      Interestingly, I had the polar opposite experience freshman and Senior year with two old farts.
      Freshman yr was Algebra II taught buy a Vietnam veteran who had flashbacks.
      I think Senior Year may have been Trig but I failed both Algebra 2 and trig pretty miserably if the requirement was actually retaining any mathematical information from those years. I maybe earned a "D"or "C" at best.
      Anyways I'm pretty pathetic at math, takes me a while to pick it up. Made A's in every other class and graduated with a 3.6.
      So this is basically an optical illusion because the angle of one of these triangles does not make it a true (right angle) triangle?
      Which one is not the real triangle..the top?

    • @hadifelani
      @hadifelani 2 роки тому +93

      Agreed. This kind of teaching is what makes learning subjects that are fairly seen as a complex topic by many, not feel boring and confusing. The back and forth interaction also matters.
      I personally preferred this method as I struggled so much if I learn with only one of the methods. I really can't if I only have to choose between visual or audio. I need both of them.

    • @xGhoul4x
      @xGhoul4x 2 роки тому +40

      He’s teaches with so much energy unlike most my teachers I ever had

    • @fishboyboby4281
      @fishboyboby4281 2 роки тому +18

      Bro, it fascinates me that this was 7 years ago

    • @BuffaloNickel9
      @BuffaloNickel9 2 роки тому +4

      @@fishboyboby4281 why?

  • @nice7530
    @nice7530 3 роки тому +13229

    You can really see that this guy has a genuine passions for teaching this subject. Teachers don’t get enough credit these days and it is really nice to see someone so passionate about this.

    • @adamtomecko6817
      @adamtomecko6817 3 роки тому +154

      Betcha he works at a private school. If he's at a public then they lucked out!

    • @noblephoenix6151
      @noblephoenix6151 3 роки тому +116

      Some teachers get too much credit. Some don't get enough. But what's the correct amount of credit, and how do we empirically judge?

    • @zachd4693
      @zachd4693 3 роки тому +61

      @@noblephoenix6151 Yeah, we'd better quantify everything

    • @dilleagle1649
      @dilleagle1649 3 роки тому +26

      If I had him as a teacher, I'd be the next Einstein and Tesla combined no 🧢.

    • @merezko4339
      @merezko4339 3 роки тому

      My gosh you people got this vid into my recommended

  • @primedecanus5301
    @primedecanus5301 3 роки тому +2588

    The projector timing out was too relatable. That happened every time my teachers would present. Love it.

    • @KaoruSugimura
      @KaoruSugimura 3 роки тому +44

      Projector didn't time out. He just has his computer set(by default) to go to sleep after x minutes without input. Hence why it says no signal and to provide input from the source because the computer went to sleep and thus stopped sending a signal to conserve power. It is simple to disable but most teachers never do it for some reason and this is the result.

    • @angruwasp8782
      @angruwasp8782 3 роки тому +1

      Ave, true to Caesar!

    • @miteshkiran5288
      @miteshkiran5288 3 роки тому +6

      You guys have projectors. In India we write in green old boards with pieces of chalk

    • @Milesco
      @Milesco 3 роки тому +4

      @@KaoruSugimura Well, that IS effectively a time out.

    • @Milesco
      @Milesco 3 роки тому +9

      The irony is that the sudden timeout was actually fortunate, because it freed up some space on the whiteboard for the teacher to draw the exaggerated triangles.

  • @Waterbottles711
    @Waterbottles711 2 роки тому +6297

    I asked a teacher how this is possible in 11th grade and she pretty much just said 'it is what it is'
    Thank you for actually explaining how this works!!! Appreciate you

    • @thanhnguyenvu674
      @thanhnguyenvu674 2 роки тому +55

      Agree. I propose another way to understand this math problem:
      - A lot of people apply the triangle area fomula for the two shapes (the two big shapes that contain smaller ones). As a result, they have the same area because ostensibly both are right triangles with equal sides.
      - This is the main reason why this is such a paradox: they seem equal but different at the same time. If you look closely, only the upper shape ( the shape that contains other 4 smaller ones) is really a triangle. The lower one is not a triangle so you can not apply triangle area formula for it.
      - To calculate the lower one's area, you should combine all 4 smaller ones' areas plus 1 square. There you go, it is solved.

    • @thekaratekidpartii2169
      @thekaratekidpartii2169 2 роки тому +32

      This is a pretty elementary problem with a verysimple explanation, and you asked your teacher-maths teacher I presume with at least a degree in mathematics-and they didn't even attempt to explain it to you? Are you sure you're not making that up?

    • @gendengraven5049
      @gendengraven5049 2 роки тому +62

      @@thekaratekidpartii2169 depends on the country. Not every teacher is like a teacher from first worls country

    • @azureshard1873
      @azureshard1873 2 роки тому +55

      @@thekaratekidpartii2169 different teachers have different limits on what they want to explain, I think, when I asked my English teacher if overture and aperture had similar etymology she just brushed me off, but whenever I asked my history teacher a question (ie "was being gay illegal?" "Didn't Ronald Reagan release some acts about immigrants? " "isn't this the reason exterior doors open outwards?") He always answered and explained them

    • @KeatonBonner
      @KeatonBonner 2 роки тому

      @@thekaratekidpartii2169Answer = you like the smell of your own farts.

  • @XcutAngel
    @XcutAngel 3 роки тому +5684

    Everyone talking about the projector going out but the most memorable/relatable part was the one kid feeding all the answers when a question is asked. There's always one.

    • @aigatatakeshita7602
      @aigatatakeshita7602 3 роки тому +326

      All hail the answering kid!

    • @diggoran
      @diggoran 3 роки тому +670

      That kid who can’t stand the awkward silence when a class ignores a teacher’s questions, unfortunately seals their own fate by reassuring the rest of the class that they never need to answer.

    • @nuke_hazard18_23
      @nuke_hazard18_23 3 роки тому +126

      Because if no one raises their hand it halts the lecture and I know the answer so imma put my hat in the ring.... All 16 times a question is asked xD

    • @GimmeLeCat
      @GimmeLeCat 3 роки тому +16

      She sits next to me :)

    • @khangmal3563
      @khangmal3563 3 роки тому +20

      @@diggoran ohh nahh, that kid is hella happy if he can go with his teacher like that

  • @nthgth
    @nthgth 3 роки тому +7248

    This guy has passion! That's what makes a real memorable and effective teacher. Especially of things that can easily be so dull.
    We need more people like him!

    • @johnnysalami27
      @johnnysalami27 3 роки тому +95

      He is what a teacher should be! Teaching shouldn’t be dull and neither should learning

    • @ramenveins
      @ramenveins 3 роки тому +4

      youre gay

    • @gettokyoko
      @gettokyoko 3 роки тому +58

      @@ramenveins youre fatherless

    • @user9999-z
      @user9999-z 3 роки тому +13

      @@gettokyoko whats wrong with people not having a dad

    • @H1NAZAK1
      @H1NAZAK1 3 роки тому +47

      @@user9999-z cause they start acting like the comment above his

  • @CamoSquid
    @CamoSquid 3 роки тому +6963

    This actually makes so much sense. Idek why I clicked this video either. Love how he kept going and barely called attention to the signal loss. I know so many teachers that would've stopped and tried to figure that out before completing that bit of the lesson, or even their sentence

    • @samjohnson609
      @samjohnson609 3 роки тому +143

      he actually knows his shit through and through

    • @CamoSquid
      @CamoSquid 3 роки тому +106

      @@samjohnson609 definitely. He is a good teacher for sure

    • @ArchIVEDCinema
      @ArchIVEDCinema 3 роки тому +103

      Yup. I've even had college professors waste an entire lecture trying to fix a sudden technical issue that didn't matter at all.

    • @blizzy78
      @blizzy78 3 роки тому +48

      Just wiggle the mouse. It was the screen blanker.

    • @Becky-uz8em
      @Becky-uz8em 3 роки тому +38

      @@ArchIVEDCinema I had a college professor waste half of class every day telling us we were behind her other class (I wonder why /s)

  • @AndyMoy
    @AndyMoy 2 роки тому +1053

    I would have DIED to have had a teacher like you back in High School, maths was always something I struggled with, and disinterested me massively, THIS would have just given me a spark to focus, thank you for doing this for younger generations man honestly.

    • @Jeremyxyx
      @Jeremyxyx Рік тому

      But then you would be dead and reborn to a class where there aint one. Maybe this even is the reason for not having one because you already did so.

    • @DeltaAssaultGaming
      @DeltaAssaultGaming Рік тому +2

      Math

    • @chinmaypachchhao489
      @chinmaypachchhao489 Рік тому +4

      How would you have studied further then?....Dead man can do nothing ...😂...
      Just for fun...

    • @joewiniecki3282
      @joewiniecki3282 Рік тому +9

      @@DeltaAssaultGamingthere’s multiple forms of math. Maths

    • @ChantingInTheDark
      @ChantingInTheDark Рік тому

      Same.

  • @FelixSR
    @FelixSR 3 роки тому +28834

    I was completely lost for like 90% of the video, but he managed to make me understand at the very end. I'm impressed

    • @dbbvm
      @dbbvm 3 роки тому +38

      Why did you have 10 likes

    • @tie7626
      @tie7626 3 роки тому +275

      Dude no one cares. Stop commenting on trending videos it won’t make your channel bigger. Loser

    • @dbbvm
      @dbbvm 3 роки тому +143

      @@tie7626 well thats offensive

    • @unoriginalpersonALT
      @unoriginalpersonALT 3 роки тому +173

      you were completely for 90% of the video

    • @RageDasher_7751
      @RageDasher_7751 3 роки тому +58

      Forgot a word there.

  • @Doubleplayer1000
    @Doubleplayer1000 3 роки тому +17086

    Let us not forget though: What makes this whole video so relatable to everyone is the school-projector just randomly peacing out in the middle of class.

    • @boonsaplenty3924
      @boonsaplenty3924 3 роки тому +544

      I think it was just his computer went to sleep bc he'd been away from inputting for an amount of time, but even that is really relatable

    • @grisgrame15
      @grisgrame15 3 роки тому +44

      On the other hand its a beamer which makes it really unreal at least for my country lol

    • @maddie_pri666
      @maddie_pri666 3 роки тому +23

      Omg i was at school today with a sub and the same thing
      happened while we were watching a video😂

    • @wayababaya
      @wayababaya 3 роки тому +7

      yes

    • @CXTC
      @CXTC 3 роки тому +57

      I’m pretty sure the projection was the magical disappearing square

  • @berniegores3793
    @berniegores3793 2 роки тому +2001

    I had a math teacher like him when I was in high school. Extremely enthusiastic and enjoyed the experience of teaching us over passing standardized tests. Needless to say, Math was my favorite subject

    • @prosandcons-fl2cc
      @prosandcons-fl2cc 2 роки тому +20

      Teachers like that are the best

    • @Hhhh22222-w
      @Hhhh22222-w 2 роки тому +3

      He's still young, plus this isn't in the US

    • @Living_Happily
      @Living_Happily 2 роки тому +2

      Good for you my math teacher doesn't even try to convince the students that it is useful in any way

    • @musicwithj1759
      @musicwithj1759 2 роки тому

      Lucky!

    • @itsrozana
      @itsrozana 2 роки тому

      @@Living_Happily same

  • @jessicakaspar7659
    @jessicakaspar7659 2 роки тому +242

    I’ve never actually heard the explanation behind this problem before. This is actually so fascinating and I love how excited math teachers get when they talk about problems like this!!! It’s so wholesome

    • @Legendary_Bleu
      @Legendary_Bleu Рік тому

      Smash?

    • @live_life_kingsize
      @live_life_kingsize Рік тому

      This explanation is pretty complicated tho here's my version
      The hypotenuse of blue triangle is √(5²+2²) which is ≈5.3851
      Now the hypotenuse of red triangle is √(8²+3²) which is ≈8.5440
      Adding both we get ≈13.9291
      Now, onto the hypotenuse of the big 'triangle' which is ≈13.9283
      Meaning the hypotenuses of the smaller triangles don't add up to the hypotenuse of the big 'triangle' meaning something is wrong here
      And because both small triangles are not similar meaning both of them combined wouldn't make a triangle hence the big 'triangle is a fake

    • @oldshensheep
      @oldshensheep Рік тому +1

      Simpler: 2/5 not equal 5/13

  • @MrManAmong
    @MrManAmong 3 роки тому +2135

    We need more teachers like this. He reminds me of my high school math teacher. Patient but works with great energy; focused but stops everything to engage with a student that wants to participate; encouraging and confident. I’m an old man now and this brought me right back to the classroom in the best way possible. Bravo sir.

    • @NewAgeSlaves
      @NewAgeSlaves 3 роки тому +9

      Well said

    • @PoopiGirl.23
      @PoopiGirl.23 3 роки тому +12

      Yes! We need teachers (especially math teachers) that love TEACHING, not just their subject.

    • @ommanipadmehum4975
      @ommanipadmehum4975 3 роки тому +4

      This is Hope for the new generation !
      Inspiring many vocations it can be, at least to be wished it has.
      For one moment imagine, if becoming you are the teacher you never had in your past lifetime, and so give this present to the world.
      how great you feel. Seeing smiles of interest and curiosity and changing secretly their path of life in a way better.
      Off course, apply to other works/ and vocations building future improvements it could be thought.
      Well well well, I repeat..
      This brings Hope about the new generation !

    • @moisesmarquez7564
      @moisesmarquez7564 3 роки тому +3

      I had a world history teacher in HS. I never liked history cuz i thought it was boring, but when HE taught the subject, he MADE it interesting. Inversely, I once had an Art teacher who taught art (which i like) but was boring in teaching it (i slept through every class)

    • @iRockGaming
      @iRockGaming 3 роки тому +3

      I would have loved to gone to school if I had just 1….JUST ONE teacher like this….it’s so imperative that we filter job applicants and make this a must for every student! It was refreshing to see

  • @BeauTylerMakesMusic
    @BeauTylerMakesMusic 2 роки тому +6733

    When people say that “math is boring” I always tend to think “no, your math teacher was boring”. This teacher is a testament to how much fun math can be. Oh what a different world we would live in if they were all like him.

    • @iGaveLiaHIV
      @iGaveLiaHIV 2 роки тому +129

      Nah math is boring lmao. This was just a kinda cool illusion

    • @BeauTylerMakesMusic
      @BeauTylerMakesMusic 2 роки тому +137

      @@iGaveLiaHIV for you ;) I love math, but I’ve been lucky to have had some awesome instructors.

    • @MrKimKim
      @MrKimKim 2 роки тому +15

      @@iGaveLiaHIV well considering ur name is "I gave lia HIV" your opinion is invalid

    • @iGaveLiaHIV
      @iGaveLiaHIV 2 роки тому +31

      @@BeauTylerMakesMusic I've been lucky to never have to use anything but basic math since high school

    • @Mandor621
      @Mandor621 2 роки тому +16

      Indeed it is , you know its late to say , but i gotta learn math through internet myself because my teacher back then was bad , he just leave us a questionnaire and take it when his class end , everytime

  • @ravocean
    @ravocean 2 роки тому +147

    This makes me miss school. Sometimes I would have class where the instructor would be this enthusiastic and entertaining, with a bright and attention grabbing voice and style of taking.

  • @hobblinharry
    @hobblinharry 2 роки тому +3945

    I literally haven’t studied math in 18 years and This guy was able to keep me following along with no issues

    • @haninditabudhi6574
      @haninditabudhi6574 2 роки тому +45

      Why you havent studied math for 18 years? Your math teacher would be very angry 😠😠😠

    • @juliebraden6911
      @juliebraden6911 2 роки тому +24

      L I T E R A L L Y
      You've disappointed not only your math teacher, but your English teacher as well.

    • @dayuboy2770
      @dayuboy2770 2 роки тому +2

      18 years?

    • @chaihleeb9071
      @chaihleeb9071 2 роки тому +31

      guys he probably got graduated a long time ago and u dont have to study after graduating...

    • @random20000
      @random20000 2 роки тому +2

      @@juliebraden6911 they spelt it correctly though?

  • @nikhilreddy8550
    @nikhilreddy8550 3 роки тому +2113

    That exaggerated example is the best way to explain stuff. I am not a teacher but I always use such exaggerated examples to explain things to family, friends or colleagues. It's very effective.

    • @KatherynneF
      @KatherynneF 3 роки тому +129

      This is how I manage to understand all mathematical concepts. Using the same logic and applying it to either exaggerated or simplified versions of the situation, this often helps me confirm that I'm on the right track or that I'm learning things right.

    • @TheNetflixGamer
      @TheNetflixGamer 3 роки тому +18

      @@KatherynneF YUUUP cannot agree with y’all more

    • @Jeremy.Bearemy
      @Jeremy.Bearemy 3 роки тому +37

      If you understand the extremes the stuff in between starts to look pretty simple

    • @ulysseciment2951
      @ulysseciment2951 3 роки тому +6

      Exact same for me, my example being how to explain that you are slower on average doing laps when there is wind vs when there isnt. If there was 150mph of wind you couldn't do laps at all.

    • @antoine2571
      @antoine2571 3 роки тому +2

      Me too I was thinking I was the onliest one to do that but exaggerate thing is amazing to compare/explain things

  • @nevaray9413
    @nevaray9413 3 роки тому +1704

    This is such an awesome teacher. He’s not teaching at his students. He’s involving his students

    • @prabhav1788
      @prabhav1788 3 роки тому +65

      He is teaching his students, not lecturing them. That’s just in my words

    • @Urk3X
      @Urk3X 3 роки тому +10

      I'm shook that America seems to have so bad teacher standards

    • @nevaray9413
      @nevaray9413 3 роки тому +9

      @@Urk3X most teachers care about their paychecks rather than helping young minds. Their are some teachers like this guy who truly care but they are a dime a dozen.

    • @theflippingflip
      @theflippingflip 3 роки тому +8

      @@nevaray9413 'dime a dozen' means plentiful not rare

    • @nevaray9413
      @nevaray9413 3 роки тому +2

      @@theflippingflip lmao! mb... you get what I was saying tho

  • @retrogorilla6523
    @retrogorilla6523 2 роки тому +84

    If all math teachers had half of this man's energy, the world would be filled with geniuses

    • @cezarblack13
      @cezarblack13 8 місяців тому

      ❤❤❤❤❤

    • @cezarblack13
      @cezarblack13 8 місяців тому

      🎉🎉🎉🎉🎉🎉

    • @Reblwitoutacause
      @Reblwitoutacause 24 дні тому

      Never judge the genius of a fish by its ability to climb trees.

  • @anticlockwisepropeller7379
    @anticlockwisepropeller7379 3 роки тому +5148

    This is a similar principle to the "infinite chocolate" paradox that's been floating around the internet for years - the "extra" piece is hiding in the angled cut. Because its area is made very thin and spread out over a long distance (and if you're using real chocolate the cut is probably a bit messy) it's hard to notice with the human eye. It's all an optical illusion!

    • @Ivan-nu7rw
      @Ivan-nu7rw 3 роки тому +3

      Awaya🥞🕎♾️⚛️⚛️🚺

    • @mystyx7
      @mystyx7 3 роки тому +111

      Actually no.. In that chocolate paradox.. The height of both the chocolate changes.. That's why the problem..

    • @ozanozenir2503
      @ozanozenir2503 3 роки тому +178

      @@mystyx7 he is talking about the actual physical choclate paradox which is when you look at the pieces it looks like it is uneffected but if you calculate the mass or the weight it is different. However in the internet there is an animation that is just made to trick people and that is not illusion or anything it is just an animation trick.

    • @elicorry-wright5364
      @elicorry-wright5364 3 роки тому +15

      The chocolate bar just gets slightly smaller hahaha

    • @imadoge5036
      @imadoge5036 3 роки тому +89

      Was looking for this comment
      When I was younger I tried this over and over on the same chocolate because I thought that I found a glitch in the matrix, but I analized it enough and came to the conclusion that I was stupid.

  • @PikaBolaChan
    @PikaBolaChan 3 роки тому +4393

    what an upbeat teacher, if everyone had his energy we’d all be engaged in studying all the time

    • @j.calvert3361
      @j.calvert3361 3 роки тому +79

      Pay teachers a decent salary, and finance public schools adequately...

    • @PikaBolaChan
      @PikaBolaChan 3 роки тому +167

      @@j.calvert3361 i’m not in control of that bro

    • @imho2278
      @imho2278 3 роки тому +6

      He's since become a course director so teaches less.

    • @jaaaaaaaaaaaaaay
      @jaaaaaaaaaaaaaay 3 роки тому +12

      @@j.calvert3361 I dont think the pay is the problem

    • @deathshadow5316
      @deathshadow5316 3 роки тому +27

      And have a decent class who doesn't disturb the teacher

  • @thomasatkinson2407
    @thomasatkinson2407 3 роки тому +1693

    Can you imagine if every teacher what this interactive and enthusiastic about teaching a subject like Math? So many kids in my school would've benefited GREATLY from someone like this.

    • @Brianlikescars
      @Brianlikescars 3 роки тому +25

      I had one. Super lucky to have had him for calculus. You were even one of the cool kids if you took AP Calc. Made it fun for sure.

    • @randomnerd9088
      @randomnerd9088 3 роки тому +12

      Yep it would be great! Unfortunately not many places actually reward exemplary teachers above the really damn awful ones.

    • @adameves5970
      @adameves5970 3 роки тому +2

      Many, many of them are.
      You kids just choose the wrong subjects in college.

    • @Brianlikescars
      @Brianlikescars 3 роки тому +27

      @@adameves5970 this is fairly obviously primary school or high school level. Based off the amount of funding and the broken projector.
      Why the need to take an antagonist tone on a feel good comment.
      “You just took the wrong classes in college. 😤 “ sounds like you took the wrong amount of ego out on loan.
      Just let other people have a good moment and don’t be a cunt about it.
      Let me rephrase your comment to not be toxic.
      “From my personal experience, I found a large amount of my college professors were like this, particularly in the STEM fields.”
      Thats it. I said the exact same thing you did, possibly even MORE detailed, AND I added something to the conversation.
      What did you do? Just try to make a stranger feel bad because you have nothing better to do with your brain cells.
      Seems those college courses were a waste.

    • @kylethomasmutchler7556
      @kylethomasmutchler7556 3 роки тому +10

      @@Brianlikescars Roasted, burned, and then corrected. Masterfully done.

  • @mcarpenter6754
    @mcarpenter6754 2 роки тому +51

    Having a teacher or two like this guy would've made a huge difference in my education.

    • @GalaxyStandard77
      @GalaxyStandard77 2 роки тому +1

      I wish any of my teachers had this level of enthusiasm. Most either felt like dying or complain about not getting paid enough

    • @h3rpad3rpacifilis
      @h3rpad3rpacifilis Рік тому +1

      @@GalaxyStandard77You have to remember that does come with years of eroding stress and malcontent. If they’re being paid way low (lower than some menial jobs), and have to deal with cheeky little gremlins for significant amounts of time, you can start to see how years claw away at their enthusiasm. This teacher is pretty young, he still has his career ahead of him, and plenty of energy to spare.
      That is not to say there aren’t shitty teachers either. My love for science disappeared with the worst science teacher who not only had just a tiny sliver of interest on the subject, but also tried to touch me up.

    • @lennard4454
      @lennard4454 9 місяців тому

      My math teacher actually was like this, amazing guy! Tho my grades weren't amazing in Math. But at least I could enjoy.

  • @TheFhpapa
    @TheFhpapa 4 роки тому +33483

    That was a REALLY good explanation of the disappearing square. lol.

    • @decentsingersclub
      @decentsingersclub 3 роки тому +30

      it’s easy

    • @itscky2007
      @itscky2007 3 роки тому +55

      @@404Tired sad moment

    • @jout738
      @jout738 3 роки тому +34

      Yes this is really confusing one, because all the part in the triangle above are in the same size as they are in the triangle below and so its really confusing, that one part is missing, while they are in the same sizes as they were in the one above and so it should be impossible.

    • @danielvelkovski3156
      @danielvelkovski3156 3 роки тому +62

      @@jout738 how should it be impossible? Compare the top grids above both triangles top lines and they don’t match at all. Obvious differences. This trick was done on a chocolate bar too to better visualize.

    • @mstefanwalker3654
      @mstefanwalker3654 3 роки тому +42

      @@danielvelkovski3156 I think the chocolate bar one actually did result in a different shape to produce the illusion. Here all of the points of each triangle are precisely on the grid and the grid is the same. It's clever because it makes us assume the large shape is a triangle when it isn't, but the shapes still do land on each regular grid line. At least that's how I understand this illusion.

  • @Cons2911
    @Cons2911 3 роки тому +3174

    These students are so lucky to have him as a professor.

    • @AKun07
      @AKun07 3 роки тому +42

      That’s like grade 9 math. It’s a high school.

    • @Cons2911
      @Cons2911 3 роки тому +157

      @@AKun07 doesn't matter, he makes math interesting. I mean I like math already

    • @IDiggPattyMayonnaise
      @IDiggPattyMayonnaise 3 роки тому +19

      @@AKun07 You don't know he could be a professor. My geometry teacher in 10th grade was also a respected professor that taught workshops for other college professors. He just wanted a simpler life so he didn't teach at the University level.

    • @狂刀三浪-r2j
      @狂刀三浪-r2j 3 роки тому +4

      Im about to take calc 3 and I still find this interesting. Beauty of math will be degrade by its level, but shines whenever there’s something unknown to you and you can make it know using math.

    • @Cons2911
      @Cons2911 3 роки тому +4

      @@IDiggPattyMayonnaise and it doesn't matter, prof, teacher, whatever people want to call it. They are teaching, same thing.

  • @matthewcarey3148
    @matthewcarey3148 2 роки тому +3388

    He’s an engaged teacher, and he has a responsive class. That’s how good stuff happens in a classroom.

    • @XFizzlepop-Berrytwist
      @XFizzlepop-Berrytwist 2 роки тому +29

      Yep.
      If you have a bad teacher, or unresponsive classroom, the magic just disappears.
      I know I was rather uncaring as a student. XD

    • @artic8516
      @artic8516 2 роки тому +2

      @@XFizzlepop-Berrytwist Tbh if a teacher is motivated and good the class will be aswell in 99% of the cases. But who can be bothered if the teacher is just boring and cant explain.

    • @XFizzlepop-Berrytwist
      @XFizzlepop-Berrytwist 2 роки тому +14

      @@artic8516
      I dont really think thats necessarily true, there are some kids, that absolutely do not care, I’ve met a few.
      Same could probably be said for teachers as well.

    • @artic8516
      @artic8516 2 роки тому +2

      @@XFizzlepop-Berrytwist yeah some kids always, but having a whole class thats trying its best is impossible with a bad teacher

    • @XFizzlepop-Berrytwist
      @XFizzlepop-Berrytwist 2 роки тому

      @@artic8516
      Sure, I can agree to that.

  • @dirrdevil
    @dirrdevil Рік тому +11

    This is an amazing teacher. I love how interactive he is with his students. He is stimulating their curiosity and encouraging them to figure it out, while guiding them to it.

  • @noodlepoodle3582
    @noodlepoodle3582 3 роки тому +2000

    I’m a Fine Arts student who had completely given up on ever understanding maths but the way this is explained and presented made me able to follow and understand it! Everyone deserves a teacher like this!!

    • @Amaranthyne
      @Amaranthyne 3 роки тому +7

      Hmm. I disagree. This problem gives the illusion of trigonometry being inaccessible. It makes the hurdle seem much higher. Honestly this is an unfair problem. Normally you should be told which bits are the same length and if the angles are 90 degrees if you want to pull a trick like this. The reason they didn’t is because the answer becomes obvious to those who understand the notation (which is pretty simple to learn). That’s just a way to make people feel silly or stupid and I don’t think that encourages people to learn. 😣

    • @FF-36
      @FF-36 3 роки тому +20

      @@Amaranthyne Shut up

    • @Amaranthyne
      @Amaranthyne 3 роки тому +2

      @@FF-36 I _can_ type without vocalizing. Would that be sufficient?

    • @Amaranthyne
      @Amaranthyne 3 роки тому +3

      @@FF-36 I’m sorry that’s how it came across 😅 The teacher took something easy and made it look more difficult than it was before solving it. I don’t think that’s what makes someone a good teacher. Does that sound less douchey?

    • @Amaranthyne
      @Amaranthyne 3 роки тому +3

      I don’t know what happened to your second comment, or your third calling me a smart a&$, but…
      Yeah, I’m smart. I wasn’t being condescending though. I wasn’t offended either, but I’m pretty sure you are. I’m not really sure why.

  • @samiragobbi
    @samiragobbi 2 роки тому +4344

    The amount of energy this guy puts into his class might not seem much by just watching this video, but imagine him doing that for one entire class and other classes during an entire year... That's incredible! Teaching is exhausting, but it's really rewarding in the end to see your students learning something.
    A good teacher is not a person who knows it all, but a person who knows HOW to pass information forward. And those are two completely different things.
    Amazing teacher!

    • @Logan_Roman
      @Logan_Roman 2 роки тому +20

      An especially good teacher instills a love of learning in their students, this guy has that down too.

    • @stormdiverz1200
      @stormdiverz1200 2 роки тому +6

      Passion goes a long way

    • @joeyanunti
      @joeyanunti 2 роки тому +4

      I'm 30 and haven't been to class for a while. Sat down and watched this whole thing with fascination. Taught me something new today

    • @HyperionFive
      @HyperionFive 2 роки тому +2

      Too many know it all- teachers and very few talented communicators and passionate teachers. Teaching should be made very hard to get into for people that don’t care/aren’t passionate about it and that have no talent at teaching. Too many have 0 talent at teaching and only spill words at you. Like they should ask themselves “Am I good communicator? Can I properly teach and explain stuff passionately? Will I do this for many many years or will I get bored of it?” Most of them only treat it as a job and that’s sad and disastrous for the future generations.

    • @pkowalewski1984
      @pkowalewski1984 2 роки тому +3

      @@HyperionFive All true. However, if you consider how much teachers are paid, it's no surprise. Where I live, the average wage of a teacher in a public school is a bit less than that of a cashier. Would you expect someone getting this little money to dedicate themselves that much? Yes, something could be said about dedication not being about money. But good money would attract more people, out of those more would turn out to be dedicated and good teachers. Plus, a good salary makes many day-to-day worries go away, allowing you to focus more on what you love (i.e. teaching). We seem to be paying very little to teachers in many countries while it is indeed true that much of our children's future depends not only on if, but how they are educated. A lot is also expected from this profession and it's not proportional to the salary. I understand why that is (i.e. teachers where I live can be pushed around more than doctors or miners even when they go on strike, so the government will not pay them more than it absolutely has to), but it's not a pretty picture.

  • @vinsmokeray4230
    @vinsmokeray4230 3 роки тому +1401

    I really like how he explained and how he used the example of triangles in a very obvious way so we can see the difference very clearly..
    This teacher is one of the best we got!

    • @birdmaster3016
      @birdmaster3016 2 роки тому +5

      Yeah, in my opinion the best way to prove something or demonstrate something is to use the extremes. Always makes it more visible.

    • @birdmaster3016
      @birdmaster3016 2 роки тому

      So what you saw the triangles and instantly knew they weren’t similar?

  • @sirsariarslan
    @sirsariarslan Рік тому +2

    I also appreciate the teacher yet let me explain what this is for those who doesn't have time.
    These are not triangles (shape a and b) and not equals, since red is not bigger version of blue. Just calculate the areas of each shape. Which are not equal to 5x13/2.

  • @MnMnMmNmMnmn
    @MnMnMmNmMnmn 3 роки тому +1392

    This is a great explanation. When I was younger, I struggled to understand what the practical point is of learning something like this. When you get in to any profession having to do with tolerances, these optical illusions becomes critical.

    • @HiddenAgendas
      @HiddenAgendas 3 роки тому +35

      Tesla fender gaps for example

    • @bubblehead4270
      @bubblehead4270 3 роки тому +31

      A lot of subjects may include stuff that have no practical application, but if you teach the material and have students display critical thinking to come up with correct answers, I think that’s great. I would imagine that helps students realize what subjects they’re strong in and what subjects they’re weak in.

    • @djhero0071
      @djhero0071 3 роки тому

      Damn lol.

    • @madeleine61509
      @madeleine61509 3 роки тому +19

      @@bubblehead4270 I think people also tend to take "real-world application" extremely literally, rather than understanding that some subjects are just to teach rules. The easiest way to explain this would be through a language example.
      If your language teacher teaches you "Johnny is a hairdresser and he hates his job"/"Johnny est coiffeur et il déteste son travail"/"Johnny es peluquero y odia su trabajo"/etc., some people may say "I don't know any hairdressers. This is worthless to me". However, the point is not to give you the stock phrase about a person called Johnny being a hairdresser, it's about learning the actual building blocks behind it (What verb is used to describe profession? Do you put an article before the profession? How do you bridge the gap between a statement and an opinion? How do you express opinions of a third-party? How do you translate the possession in "his job"?) so that then when you have to discuss things you WOULD talk about in a regular setting, you know how to put the pieces together.

    • @zoulzopan
      @zoulzopan 3 роки тому

      What are tolerances? And what field are you talking about? Construction/civil engineering?

  • @maker000
    @maker000 3 роки тому +1337

    I think it's always so very important to understand why things are the way they are in mathematics. I hate in college where they don't explain much of why like this. When you have a firm understanding of the nature of the problem, the equation becomes arithmetic.

    • @idonothing7557
      @idonothing7557 3 роки тому +7

      College?.... In my country thind level of math is taught in the elementary schools...

    • @jakubw.2779
      @jakubw.2779 3 роки тому +11

      @@idonothing7557 really? You compare college level math to grade school math?

    • @99batran
      @99batran 3 роки тому +47

      @@idonothing7557 He said math in context of in general, he never mentioned the geometry in this video specifically. That was not even the point of his comment

    • @officialHimaruXx
      @officialHimaruXx 3 роки тому +45

      iN mY CoUNtRY We hAd tO SoLvE CaLCuluS wHeN We WeRe FiVe yEaRs oLd

    • @SgtByrd93
      @SgtByrd93 3 роки тому +13

      @@officialHimaruXx legend 😂

  • @dewitt_cg2641
    @dewitt_cg2641 3 роки тому +692

    It's been over 20 years since I graduated highschool. Never had a math teacher this excited about explaining math. Almost makes me want to go back to school and learn more 😄

    • @pidgey3734
      @pidgey3734 3 роки тому

      you LIKE school?

    • @NorthCamZ
      @NorthCamZ 3 роки тому +18

      @@pidgey3734 with a teacher like that maybe

    • @zarashox577
      @zarashox577 3 роки тому +5

      Currently a high school senior and these teachers are rare and need to be protected at all costs. MOST are not as passionate as this teacher.

    • @wayababaya
      @wayababaya 3 роки тому

      really hoping to get a teacher like this next year

    • @charleyweinhardt
      @charleyweinhardt 3 роки тому +1

      Well the video doesn't play the part where he gives gives them an extensive homework assignment right after this

  • @---nd2yx
    @---nd2yx Рік тому +11

    Great teacher! Energetic, likable, makes something really boring and complex into something fun. We need more people like this in our universities.

  • @jonathon6933
    @jonathon6933 2 роки тому +2978

    did i just enjoy a math lesson??? public schools need more teachers like this guy. absolute legend

    • @ABPoolsTO
      @ABPoolsTO 2 роки тому +74

      No. You enjoyed a short youtube video. You had classes before and you know it's not like this.

    • @azysgaming8410
      @azysgaming8410 2 роки тому +38

      Not all math chapters are beautiful, interesting, easy to visualize, fun to learn, etc. Believe me, I'm an inter second year student from India. I've solved a lot of problems from various chapters. you need to dedicate hours, and hours on a chapter to fully grasp it, and it's nowhere as fun as watching a youtube video for passing time..

    • @KumarAbhinav2812
      @KumarAbhinav2812 2 роки тому +15

      @@azysgaming8410 oh it's an absolute joy with the right teacher

    • @imsodamnlazy1191
      @imsodamnlazy1191 2 роки тому +1

      private school teachers are just as dead inside

    • @karatalksaboutstuff7333
      @karatalksaboutstuff7333 2 роки тому +5

      IDK where you live, but in most US states public schools have better teachers on average because they pay better than the average private school. (Source: I'm a teacher from a whole family of educators.) The idea that private schools are "better" is mostly down to the fact that they can more easily expel students.

  • @RomanEmpire1997
    @RomanEmpire1997 3 роки тому +1522

    This guy’s enthusiasm makes me miss school, why couldn’t every teacher be this good 😩

    • @futurehofer1564
      @futurehofer1564 3 роки тому +12

      @Billy Mack, Texas Detective sad

    • @Soumein
      @Soumein 3 роки тому +31

      I feel like it'd be hard to have this kind of energy every day, especially when half your students don't care. "When are we going to need this" etc.

    • @MolecularMachine
      @MolecularMachine 3 роки тому +20

      Because the school system we use pretty much everywhere is fundamentally broken and not conducive to encouraging curiosity and independent learning of topics which interest the students, thus crushing the spirits of teachers and students alike.

    • @negativetenstars
      @negativetenstars 3 роки тому +4

      @@Soumein i feel like it's esp hard in math too. in science or history if you teach interestingly you can get your students to care, but a lot of kids won't care abt math no matter what

    • @AmJustMaiko
      @AmJustMaiko 3 роки тому +8

      It's due to them following a system. Teachers can actually do their best to educate their students, it's just they gotta have to follow the school systems which I find sad. Most fun teachers usually implement themselves and their personality to their subject which makes it interesting, but sometimes the system prevents them from doing things which actually would make the subject more interesting.

  • @averixx06
    @averixx06 3 роки тому +702

    This man had my full attention for the entire video and it only took him about 5 minutes to give a very good explanation for this thing. One of the best teachers I’ve seen. Some teachers I’ve had would have taken an hour to explain this in a very boring, confusing way, and then be like:
    “Don’t be afraid to ask questions.”
    *Proceeds to ask question*
    “Why didn’t you pay attention???”

    • @sealdew5348
      @sealdew5348 3 роки тому +14

      DUUDDEE EXACTLY

    • @sealdew5348
      @sealdew5348 3 роки тому +7

      I SPEND LIKE HALF AN HOUR JUST WAITING FOR OUR TEACHER WAITING FOR US TO QUESTION LIKE WHATT

    • @caveboy5677
      @caveboy5677 3 роки тому +21

      You know, he first made a vid for a sick student in like 2017, then he made more when COVID came and now he's really popular. We actually watch his videos as part of the curriculum in Australia

    • @hanif7592
      @hanif7592 3 роки тому

      @@caveboy5677 damn that's interesting

    • @maxmax9691
      @maxmax9691 3 роки тому +1

      Wow it’s almost like Ull pay attention to your phone but not ur teacher, yep, learnings fault

  • @turtleuser7761
    @turtleuser7761 2 роки тому +59

    This is a great lesson for mathematics, had me stumped for a second. I'm trying to get into teaching specifically mathematics, this gives great information.

  • @AliKhan-jt6zj
    @AliKhan-jt6zj 3 роки тому +1893

    I got another proof to tell my students how important a 1° angle is. Thank you.

    • @busTedOaS
      @busTedOaS 3 роки тому +104

      random thought, load up Universe sandbox and rotate Jupiters momentum by 1°
      (not actually sure what would happen)

    • @iamalolz
      @iamalolz 3 роки тому +198

      @@busTedOaS instructions unclear, cows are on Mars now

    • @gamer-ph5on
      @gamer-ph5on 3 роки тому +4

      @@iamalolz lol

    • @daniel_ghax
      @daniel_ghax 3 роки тому +12

      @@iamalolz Aw, man.
      Not again...

    • @不只是谁所无名找小二
      @不只是谁所无名找小二 3 роки тому

      @@busTedOaS i guess it now takes an egg like route around the sun

  • @chrisakaschulbus4903
    @chrisakaschulbus4903 2 роки тому +4995

    I love how he says at the beginning "what *appears* to be a triangle"... I think that many people presenting this "puzzle" would just say "here we have a triangle" and therefore making it unsolvable. I like people that think before they talk :)

    • @Zapscallion
      @Zapscallion 2 роки тому +58

      It is a trick, saying it appears to be a triangle only helps explain the solution.

    • @chrisakaschulbus4903
      @chrisakaschulbus4903 2 роки тому +195

      @@Zapscallion Of course, i get it, but i'm a little pedantic. If he said that it was a triangle, it would therefore make it unsolavable, since the "puzzle" wouldn't make sense anymore.
      That's why he used the word "appears" and i like him for thinking about details like that.

    • @HeatyFrog
      @HeatyFrog 2 роки тому +127

      @@chrisakaschulbus4903 I agree. It would be unfair if he said "this is a triangle" because he would be lying about the parameters of the puzzle and as his students they would believe him

    • @marshallsweatherhiking1820
      @marshallsweatherhiking1820 2 роки тому

      I can tell by looking it isn’t a triangle. I’m thinking about making an even more deceptive puzzle by picking even closer pair of ratios.

    • @chrisakaschulbus4903
      @chrisakaschulbus4903 2 роки тому +53

      @@marshallsweatherhiking1820 "I can tell by looking it isn’t a triangle" For me it's just on the edge between noticable and "maybe i'm imagining things because of the different colors"

  • @Totalhometour
    @Totalhometour 3 роки тому +503

    I've pondered this "missing square" for years. Never really figured out why this happens. Thank you for the explanation.

  • @ayoubali1082
    @ayoubali1082 2 роки тому +2986

    Literally barely passed math in highschool and this guy just taught me a little bit of trigonometry without making me feel dumb or bored LOL we need more people like him in school 👌🏾

    • @anonymoususer4706
      @anonymoususer4706 2 роки тому +84

      I'm sure most teachers start out like this guy. He looks pretty young. It's the downsides of the job that add up over years and the teaching profession isn't exactly overflowing with applicants. There's way to fix that and I hope it gets better some day.
      Edit: you can stop disagreeing with me and get your reading comprehension up, I said "most" which means it's not true for 100% of teachers.

    • @sixstanger00
      @sixstanger00 2 роки тому +18

      @@anonymoususer4706 Meh, disagree. My college algebra instructor was about this guy's age and he was the worst math instructor I ever had. Seldom explained how/why we used certain functions, operations, etc, and anytime I asked, "why is it done that way?," my questions were typically either dismissed out of hand or I was told to "research it on my own time."
      Most of my "instruction" in college algebra was myself, poring over my textbook weeknights at my kitchen table in my apartment. I basically had to read and re-read lessons, do textbook examples, quizzes, etc and then check my work against the answers in the back of the book to teach myself college algebra. It was the only class in college I had to that in, and I had numerous programming classes.
      My physical science teacher in high school was the complete opposite though -- he was also the head football coach, and no matter what area of physics we were studying, he could make football analogous in his explanations. I aced that class so easy it should be illegal. LOL

    • @bengrimm622
      @bengrimm622 2 роки тому +10

      My college math teacher didnt speak english. But they still took my money.

    • @_Lis25
      @_Lis25 2 роки тому +7

      @@anonymoususer4706 disagree, most of the funnies teachers in my school were the old folks.

    • @CyanicCore
      @CyanicCore 2 роки тому +2

      It's not concrete, but very often does matter.

  • @HibariVongola25
    @HibariVongola25 2 роки тому +4252

    I never loved maths while doing school, but this kind was good enough to keep me focus 5 minutes. Good job man, your lessons aren't boring at all :)

    • @ghasterblhaster
      @ghasterblhaster 2 роки тому +6

      And the last 16 seconds?

    • @core920
      @core920 2 роки тому +10

      @@ghasterblhaster at the last 16 seconds I was inventing something revolutionary to the world

    • @bigrayofsunshineGGLG
      @bigrayofsunshineGGLG 2 роки тому +1

      I like that he isn't luke the robots now just saying it's this, this is this, he used the words "i think" and "im pretty sure" using those words actually makes most minds want to finger out if he's correct and draw attention to find out why hes would be , so called *Guessing* on a problem like this.

  • @ZeroKung2309
    @ZeroKung2309 3 роки тому +7983

    My only question is how did he make a perfect straight line at the start.

  • @justinshetler3737
    @justinshetler3737 Рік тому +12

    I've been out of school for 5 years and I am genuinely fascinated by this.

  • @pennamebear
    @pennamebear 3 роки тому +587

    This man is the best teacher, taught me something in 5 minutes, and not an entire hour.

    • @rachelcookie321
      @rachelcookie321 3 роки тому +20

      I feel like so much of my time in school has been wasted because teachers spend 2 hours teaching something that I learnt within the first 10 minutes of them talking.

    • @Issac117
      @Issac117 3 роки тому +3

      @@rachelcookie321 Hey, sounds like you are academically gifted, and learn way faster than your teachers teach! It was the same for me when I was in school, and most of us who are academically gifted have experienced the same boredom you mentioned. But I just wanted to encourage you to be understanding that your teachers have to teach at a rate everyone can learn the material at, and to try to be grateful that you are one of the lucky people who learn way faster than average. Also if you go to university and have a major you're interested in a lot of the classes will be quite enjoyable, so you can look forward to that if you choose to pursue higher education!

    • @rafasilva1265
      @rafasilva1265 3 роки тому

      @@Issac117 they could teach individually instead of wasting our time

    • @adifferentusername999
      @adifferentusername999 3 роки тому +10

      @@rafasilva1265 my guy there aren’t enough teachers to have 1 for each student

    • @rafasilva1265
      @rafasilva1265 3 роки тому

      @@adifferentusername999 literally just let the students leave class whenever. that would make it an individual choice to leave

  • @inflameslp311
    @inflameslp311 3 роки тому +373

    He reminds me of some of the enthusiastic math teachers I had growing up. I even had one whose absolute favorite thing to hear was the “OHHHH” of a student finally understanding a math concept. She got the biggest grin every time and it always lit up the classroom.

    • @00ammy00
      @00ammy00 3 роки тому +24

      As a math teacher myself I can testify that it's absolutely a wonderful feeling to actually see a concept making sense for a student.

    • @just_another_name1560
      @just_another_name1560 3 роки тому +4

      True.. if you teach and even few students understand it and revert back , its very rewarding.. cant force everyone to learn..

    • @souju_13
      @souju_13 2 роки тому

      Good for you guys. The math teachers i had just mostly wanted to get over it and finish class. I had a really boring science teacher though, I'd feel sleepy the entire class but i would still get his lessons, made me love the subject.

  • @SiaraCat
    @SiaraCat 2 роки тому +4283

    Math teachers all have one thing in common: they get very excited about what they teach and the more they get excited, the more their writing starts to turn into geroglyphs.

    • @CanalTremocos
      @CanalTremocos 2 роки тому +79

      But, Siara! There's a ~1º mismatch! That changes everything! 〽〽#〽

    • @Zincmentomint
      @Zincmentomint 2 роки тому +14

      Nope

    • @potatosirmeow3972
      @potatosirmeow3972 2 роки тому +75

      Definitely not. Mine are all dead inside I'd love a math teacher like him

    • @chronicwakner9994
      @chronicwakner9994 2 роки тому +33

      @@potatosirmeow3972 fr all my maths teachers in my school are all sad and miserable

    • @nurayhuseynli1784
      @nurayhuseynli1784 2 роки тому +8

      I wish ALL of them would have it

  • @goldenspark24
    @goldenspark24 7 місяців тому +1

    Gosh! I loved this... Made me remember my first math tutor in high school that made me abandon my pursuit for medicine to go after engineering because he made me fall in love with math ❤

  • @tobyzapruder4364
    @tobyzapruder4364 2 роки тому +884

    what a fantastic teacher. i didn’t have anyone that taught like this. he is enthusiastic, he seems genuinely interested in the material, and in the students thought processes. instead of saying that they’re right or wrong he kind of asks how they got there and they work through the problem together. i’m moving to australia.

    • @tobyzapruder4364
      @tobyzapruder4364 2 роки тому +31

      @@goopy123 thanks for the enthusiasm!!

    • @chrxs61632
      @chrxs61632 2 роки тому +3

      @@goopy123 🧔🏼

    • @wastedlemonade7222
      @wastedlemonade7222 2 роки тому +2

      @@goopy123 The fact that your name is *ahem* that just makes it worse... but you could be trolling though.

    • @Slashx24
      @Slashx24 2 роки тому +4

      @brotinger_1 tan^-1 isn't 1/tan. 1/tan is cot, whereas tan^-1 is arctan. You're confusing reciprocal and inverse.

    • @diamondking169
      @diamondking169 2 роки тому +1

      @@goopy123 Thank you so much for sharing with us today! ☺️

  • @soran_skies
    @soran_skies 3 роки тому +776

    I wish we had more teachers this engaging in school!

    • @Benchkun
      @Benchkun 3 роки тому +7

      I think(only i think) the problem is not the teacher. But the school the things we should learn. In this video we learn about old internet puzzles(maybe not so old). So we excited

    • @negruservasile1696
      @negruservasile1696 3 роки тому +1

      Lol me teacher is the same lime this guy

    • @raofabdullah
      @raofabdullah 3 роки тому +2

      If I have a teacher like this it'll annoy me I think. He's loud. I prefer someone who's chill

    • @EricS-v5g
      @EricS-v5g 3 роки тому

      U need a brain rather than a teacher

    • @yoyojoyy
      @yoyojoyy 3 роки тому +4

      @@EricS-v5g ur wrong, if a teacher doesnt engage well with the student they are most likely to not pay attention

  • @jonnymessele8366
    @jonnymessele8366 3 роки тому +249

    That was a perfect explanation. The second he started talking about the angle I knew exactly why there was a missing square

    • @reubenmanzo2054
      @reubenmanzo2054 3 роки тому +2

      When I was in year 8, we did something similar. We started with an 8x8 square and by cutting it in specific locations, we managed to rearrange it into a 5x13 rectangle.

  • @usmanfarhat3990
    @usmanfarhat3990 2 роки тому +5

    Mad respect for this guy! It's been years since I needed to study math, yet occasionally his videos come up and I can't help but watch one. Makes me want to be a student in his classroom.

  • @blueshooter390
    @blueshooter390 3 роки тому +309

    Did I just watch a math video until the end and actually learned something????
    He's the math teacher we all need, I miss my old 10th grade math teacher, he taught really well and made everyone excited for math

    • @AboveEmAllProduction
      @AboveEmAllProduction 3 роки тому +6

      My math teacher got me excited for meth

    • @vedamaharaj
      @vedamaharaj 3 роки тому

      10th grade math teachers are the best

    • @hanif7592
      @hanif7592 3 роки тому

      @@AboveEmAllProduction *a bald chem teacher with cancer

  • @raine6813
    @raine6813 2 роки тому +1489

    you see, THIS is how you actually make math interesting. give the student a problem that is genuinely intriguing that makes them actually WANT to know the answer.

    • @youcantconvinceamoronnotto7117
      @youcantconvinceamoronnotto7117 2 роки тому +13

      when teaching becomes your job and not your passion its gonna be cheeks, just like any other job

    • @sobgray
      @sobgray 2 роки тому +21

      problem is, if you aren't consistently doing this for the entirety of a child's educational life, not to mention if they're neurodivergent
      .. they'll inevitably miss fundamentals and no amount of excitement can make up for that.

    • @ResidentGoodV
      @ResidentGoodV Рік тому +1

      😂😂🤦🏿‍♂️

    • @jrviade85
      @jrviade85 Рік тому

      No

    • @Daveeeeeeyhowyoudoing
      @Daveeeeeeyhowyoudoing Рік тому +8

      Sounds like you just were lazy and didn't try in math

  • @ericgelders
    @ericgelders 2 роки тому +1329

    Apart from doing the maths here (in a very inspiring way), this IS actually a lesson in critical thinking and logic reasoning. Love it!

    • @gregoryf9299
      @gregoryf9299 2 роки тому +7

      Absolutely! Looking at a problem, investigating the solution, logically laying it out - true life skills!
      I first saw this problem on a subway ad (for tutoring service I think) and enjoyed solving it while going to work; I wish these types of problems were shared more widely.

    • @PANTHERA.
      @PANTHERA. 2 роки тому +1

      this is why we do math

    • @rkay.gaming
      @rkay.gaming 2 роки тому

      @Late Notice exactly :'D people bitch about math so much never realizing there's a reason why its the language of the universe or the queen of science.

    • @BruceBanner
      @BruceBanner 2 роки тому +1

      To be more precise, you just learned a geometry lesson. The type of math you can literally "see" using geometric shapes instead of boring digits.

    • @not4younot4you70
      @not4younot4you70 2 роки тому

      Hmmmm…. If you taken out blue and Orange shape from the top and bottom figures, you still have a gap now. So the really issue was the shape placement…… when a two shape having different angle is not the cause of the gap, the angle is the illusion. The gap is cause by the other two shape…… I hope you people understand that……

  • @shubham_srt
    @shubham_srt 6 місяців тому

    You are the perfect example of why every knowledgeable person cannot be a teacher. Teaching is a different skill altogether! One of the finest teacher! ❤

  • @vocalpro
    @vocalpro 2 роки тому +268

    Having taught for 30 years, I love this guy. He makes maths real, fun, engaging with his students. Wonderful. Wish all teachers were this inspiring

    • @zedoisxis
      @zedoisxis 2 роки тому +3

      dude vocalpro i lv you you help me so much

  • @MaxCruise73
    @MaxCruise73 2 роки тому +996

    Great example of "Trust but verify."
    Mathematically verifying the angles of the two triangles is the key to solving this problem.

    • @tsriftsal9718
      @tsriftsal9718 2 роки тому +2

      Look at the angles again. He is lying, they are exactly the same.

    • @MaxCruise73
      @MaxCruise73 2 роки тому +28

      @@tsriftsal9718 You are incorrect.
      Angle (a) of the 8 x 3 triangle is 20.556 degrees
      Angle (a) of the 5 x 2 triangle is 21.801 degrees.

    • @absoluteaquarian
      @absoluteaquarian 2 роки тому +13

      @@tsriftsal9718 even if you weren't able to figure out the exact degrees (like MaxCruise did above), knowing that tan^-1(x) is always an increasing function means that the two angles cannot be the same, since 3 / 8 ≠ 2 / 5

    • @tsriftsal9718
      @tsriftsal9718 2 роки тому +1

      @@absoluteaquarian they cannot be different if they fit in perfectly and based on the diagram they clearly do. Either his diagram is incorrect or his math is incorrect and you have a true paradox. I know you mathematicians hate paradoxes but they do exist quite frequently. You can rub those two braincells together all day but space cannot be created for where there is no space, it is impossible and that's exactly what a paradox is.

    • @absoluteaquarian
      @absoluteaquarian 2 роки тому +16

      @@tsriftsal9718 open up your standard calculator and prompt it for tan^-1(2 / 5) and tan^-1(3 / 8)
      You'll notice that, just like what MaxCruise said above, the angle results are NOT THE SAME.
      Therefore, the SLOPES OF THE TWO SMALLER TRIANGLES' HYPOTENUSES ARE NOT THE SAME.
      Therefore, the top shape is not a triangle, but a QUADRILATERAL whose topmost two edges have slightly different slopes.
      This is not a paradox. The top shape is not a triangle. Please do the math.

  • @angelocardonesinger
    @angelocardonesinger 3 роки тому +821

    It's such a shame I have never met a math teacher like you during my school years, so I found mathematics and and geometry very tedious topics to learn.
    You, sir, are truly a great teacher and I hope your students know how lucky they are.

    • @bikeny
      @bikeny 3 роки тому +6

      I did well in math. Well, that is until I walked into my high school math class: geometry. Prove things? Why? 2+2 = 4. What's there to prove. Nevermind being out of left field. I wasn't even playing the same sport as the class. I failed the first quarter. My parents came home from parent-teacher night to tell me that the teacher said he would have passed me if I had participated. Really? I had no bloody idea as to what was going on. Fortunately I managed to figure things out and pass the class by the end of the year.

    • @kxt9458
      @kxt9458 3 роки тому +17

      @@bikeny It could be a matter of checking your work. Most of the time, "proof" isn't as simple as 2+2=4 and isn't as simple to trace back to the roots.
      I hated proof too :)

    • @kellynolen498
      @kellynolen498 3 роки тому +1

      @@kxt9458 same I just did math memorizing the names of all the geography proofs was painful I've never used it again and promptly forgot it all

    • @kellynolen498
      @kellynolen498 3 роки тому

      so true all the math teachers I've met have seemed to hate there life constantly bored at school or complaining about how terrible the school administration was
      well or I've only met two but those psycho ones that brag about how many people failed last year and everyone had to go to after school studying with him (once a week) to pass

    • @kaladin783
      @kaladin783 3 роки тому +1

      Struggle through the high school classes and you might be able to dual-enroll at a community college. It’s more difficult, but you bet your ass those professors are better than a typical high school math teacher.

  • @Aristothink
    @Aristothink Рік тому +3

    No body beats Eddie Woo in sympathy !!!! His humbleness is also what makes him the BEST !!! I watch his videos weekly !!! Thank you Eddie for being around us. You are one of the best 5 teachers in the World !!! Watching your videos makes me fell so happy !!! 🙏🙏🙏

  • @mariacrane4511
    @mariacrane4511 3 роки тому +173

    This guy reminds me so much of one of the best teachers I ever had in public school, which was my 10th grade geometry teacher. She was so good at teaching the material that I still remember her fondly over 10 years later! I'm glad to see there are still excellent educators that teach math like my teacher.

    • @CWINDOWSsystem32
      @CWINDOWSsystem32 3 роки тому +5

      My 10th grade history teacher was like this. History became my favorite subject because of his lessons, and I still think back on his teaching style to this day.

    • @spixisingss
      @spixisingss 3 роки тому +3

      My tenth grade geometry teacher is also amazing

    • @cha0sking220
      @cha0sking220 3 роки тому

      Same

    • @NewAgeSlaves
      @NewAgeSlaves 3 роки тому

      I had a great English teacher aswell she was so passionate about teaching it literally motivated me to learn more I loved English anyway but her energy was infectious and I still have found memories of her a great teacher can make a world of difference

  • @holohulolo
    @holohulolo 3 роки тому +104

    Seen this in puzzle so many times. Finally see where the difference went. Those back ground grid really helps. You can see the slop doesnt align to the intersection compared to the on e at top

  • @blackmber
    @blackmber 3 роки тому +460

    You can tell there’s something wrong when you add up the area of each shape and find that it’s not the same as the area of the total triangle. That means those shapes can’t be arranged in a 5x13 right triangle; they create a different shape.
    The large triangle should have area 32.5, but the shapes only add up to 32.

    • @MrSmithies999
      @MrSmithies999 3 роки тому +16

      The gradients of the red and blue triangles are not the same

    • @jspettifer
      @jspettifer 3 роки тому +11

      Yep. What appears to be a large triangle is actually a quadrilateral

    • @peterbelanger4094
      @peterbelanger4094 3 роки тому +5

      Yes, the slope of the red triangle is 3/8 (0.375) while the slope of the blue is 2/5 (0.4)
      The (apparent) hypotenuse of the upper big "triangle" is concave, while the bottom is convex.
      The gap in the bottom one causes a 'bump' to happen. But so small, you have to look much closer to tell.
      And in a loosely constructed physical demonstration, like with wooden blocks or something, you could easily fool people to think you have done something "magical", but then why would anyone want to fool someone for any reason? It may seem innocent, but it is deception, lying. Even if it's to teach. It's still lying.

    • @DaveyKanabus
      @DaveyKanabus 3 роки тому +6

      @@peterbelanger4094 I don't think the point of the illusion has ever been to lie. I'm not aware of anyone doing this trick and trying to use it to convince someone that they're a wizard to whom the laws of nature and logic don't apply.
      It's always been a brain teaser. The point is to provide some apparent paradox, and stimulate someone to question their assumptions.

    • @combastion5227
      @combastion5227 3 роки тому +2

      @@DaveyKanabus Yeah, a part of the purpose of showing and explaining a conundrum like this to people is to make them realize that for every seemingly impossible scenario that you come accross there is always a logical explanation and you can't just rely on your first impression, nothing is supernatural or magical.

  • @mars5927
    @mars5927 Рік тому +12

    I loved trigonometry!! It was so satisfying finding out the difference between the two angles… this was very fun to watch

    • @_Just_Another_Guy
      @_Just_Another_Guy Рік тому

      Wait until you get to the part of trigonometry where you're calculating areas under curves and using differentials.
      THAT took away my love of trigonometry.

  • @vladimirpopoviclipovac9689
    @vladimirpopoviclipovac9689 2 роки тому +1800

    Watch carefully the top example: the spot where the red and the blue triangle meet is aligned to the grid. They meet exactly where grid lines cross each other. Then compare the same spot on the lower example (not the place where the triangles meet on the lower example. but the exact place like in the top one). Notice that the slope is slightly raised above the crossing lines of the grid. You will then easily see that the slope is not a straight line.

    • @deltaxcd
      @deltaxcd 2 роки тому +90

      yes, that's right but also if you look more carefully you can even see that 1 degree difference it is juts hard to see when you don't know what to look for

    • @andrija6614
      @andrija6614 2 роки тому

      Pozz za Lipovac

    • @thespeedyeagle
      @thespeedyeagle 2 роки тому +6

      Thank you, finally I get why it's not a triangle!

    • @michaellinner7772
      @michaellinner7772 2 роки тому +1

      Now could you please explain what you mean in a normal and rational way so that other humans can actually comprehend what you are saying?

    • @zShurii
      @zShurii 2 роки тому +39

      @@michaellinner7772 but.. he did??

  • @HazySkies
    @HazySkies 3 роки тому +464

    This guy's an excellent teacher. One of the key things they need is to be able to do is keep a lesson interesting and maintain your attention enough until you understand and realise what it means. Then that sense of discovery, because you actually wanted to know, is very rewarding.
    I have little to no reason to study or interest in mathematics and yet this captured me though up watch through to the end. So very nicely done.

    • @SmallSpoonBrigade
      @SmallSpoonBrigade 3 роки тому +2

      And what happens when a problem isn't interesting and nobody is there to generate the interest? There's far too much emphasis on fun, and not nearly enough on work. I lost interest in teaching because so many students refuse to try or pay attention if it's not fun.

    • @GlennFrodo
      @GlennFrodo 3 роки тому +6

      @@SmallSpoonBrigade Then be a good teacher and let kids have fun, will make things go way more smooth

    • @kaiseremotion854
      @kaiseremotion854 3 роки тому +4

      @@GlennFrodo every problem can be made interesting if the person can be creative.

    • @Bethorien
      @Bethorien 3 роки тому +2

      @@SmallSpoonBrigade focusing on how you think things should work does not help to solve the problem under the rules of how things do work. Student's will not perform as well if they are uninterested and bored, it doesn't matter how much you want people to perform good for simply the fact they are being told to do something, if they are not interested and are not enjoying it they will not perform well.

    • @gregy.
      @gregy. 3 роки тому

      I agree. Seriously this teacher he has talent lol.

  • @electric7487
    @electric7487 3 роки тому +513

    The secret behind the Disappearing Square is that the triangles' diagonals have slopes that are slightly different but so similar that it's almost impossible to tell with the naked eye. The blue triangle's diagonal has a 40% slope (rise = 2, run = 5), while the red triangle has a 37.5% slope (rise = 3, run = 8). The angle between their diagonals is 180° - (atan(0.4) - atan(0.375)) = 178.755°, which is almost a straight line.
    EDIT: Previously I stated that the angle was 179.978°. This is incorrect, as I forgot to convert from radians to degrees when calculating the inverse tangents.

    • @christheother9088
      @christheother9088 3 роки тому +26

      OK, that made it easy for me, thanks.

    • @JimCaserta
      @JimCaserta 3 роки тому +3

      I'm getting a 1.25 degree difference between the angles. I can't see either difference in the angles.

    • @electric7487
      @electric7487 3 роки тому +1

      @@JimCaserta Good catch. Fixed.

    • @bradytheis6390
      @bradytheis6390 3 роки тому +9

      i have no idea what this means, but thanks 😀😀

    • @megadethfan18
      @megadethfan18 3 роки тому +6

      w h a t

  • @Sagardeep_Das
    @Sagardeep_Das Рік тому +3

    Even the projector screen magically disappeared right after he ended his genius explanation about the problem. Kudos to you Mr. Woo, you teach the students really well. I'm more interested in paradoxes now. Haven't seen them for long like last one I read about Riemann Hypothesis talking about graphically plotting prime numbers and Fermat's last theorem of an + bn = cn only for n

  • @BennyTygohome
    @BennyTygohome 2 роки тому +306

    I was getting worried there for a moment that I'd have to know something about trig to understand where that empty space is accounted for, but he explained it so well and it makes total sense to me now.

    • @k.vn.k
      @k.vn.k 2 роки тому +2

      Don’t be afraid of trigonometry it’s just a constant of triangle. Understanding one is understanding all.

  • @MickTheSmith
    @MickTheSmith 3 роки тому +355

    This teacher is special. Inspiring even! Sadly I never had a teacher that even came close to how interesting and passionate this guy is. And this is maths!

    • @felipegiraldo8100
      @felipegiraldo8100 3 роки тому +13

      Its just because hes young and he probably started not to long ago, give him 20+ years and he will become average boring teacher.

    • @ophanim1245
      @ophanim1245 3 роки тому +3

      Math was a subject I ended up not liking around middle school and onward because I struggled with it. But now I believe it wasn't all my fault for sucking at the subject. This man made me understand instantly and I was genuinely interested the whole way through. If I had math teachers like him I probably would've been decent at math

    • @MickTheSmith
      @MickTheSmith 3 роки тому +3

      @@felipegiraldo8100 Probably depends where he teaches and his attitude along the way. I think he’ll last the distance because when kids gain confidence and understanding that’s probably such a joy for him

    • @jason_v12345
      @jason_v12345 2 роки тому +4

      Teaching on your feet and with this level of intensity for 6 classes a day on barely a living wage would be exhausting. For the vast majority of people, it would quickly lead to burnout.

    • @MickTheSmith
      @MickTheSmith 2 роки тому

      @@jason_v12345 it depends on what motivates him. He certainly has incredible joy as he teaches. As long as he feels he is making a difference he will continue to have this joy. What he earns won’t make a difference as long as he can pay the bills. He’s not a teacher to make money, he’s a teacher because he loves making a difference.

  • @TheRealestEric
    @TheRealestEric 2 роки тому +73

    I really wish I'd had a teacher like this teaching me math in school. This is so awesome. I hate math because I was never properly taught math. This totally held me the entire time.

    • @psychoco8747
      @psychoco8747 2 роки тому

      I had a teacher like this in my 2nd year of high school, so passionate and fun, his explanation was on conceptual things and it was easy to understand just like the teacher in the video, and the whole students in my class always looking forward for his class, thats the only time when i like math, definitely the best teacher ive ever had

    • @kelvinkoo-cg2cx
      @kelvinkoo-cg2cx 2 роки тому

      If you waant him, go to australia.

  • @Ixarus6713
    @Ixarus6713 Рік тому +8

    If I remember correctly this is essentially the same as the extra chocolate piece trick, only in reverse. You lose a bit of material (or in this case, shape) somehow in the different arrangement, that just so happens to be big enough for a square to fit in.
    Obviously the chocolate bar one works because the cuts in the bar create enough area for an excess piece, but I'm not sure where that is gained here, except I remember hearing something about the big triangle.
    Neat trick. 👍

  • @MachExceler8
    @MachExceler8 2 роки тому +246

    He's the kind of math teacher that encourages students to actually LIKE math.

  • @rorschachxy7317
    @rorschachxy7317 3 роки тому +166

    This video is 7 years old and we all just rediscovered it now.... I'm happy that it brings a lot of us together, but I wish I had discovered that guy when I was struggling with mathematics in school 😅

    • @Rkekoke485
      @Rkekoke485 3 роки тому

      Ako si ti pajser nismo i svi ostali.

  • @shadette0823
    @shadette0823 3 роки тому +110

    I love how enthusiastic this teacher is. We need more teachers like him

  • @nes3042
    @nes3042 Рік тому +1

    Wow I’m really happy right now. You’re the type of teacher the world needs. You’re really want us to teach something and not doing it because it’s only your job. Man we love you

  • @jahyamack8359
    @jahyamack8359 3 роки тому +55

    I love how even with the projected turning off he still continued finishing up the lesson so that the energy/flow didn’t die.

  • @altydhonger7872
    @altydhonger7872 3 роки тому +95

    Eddie is so passionate about his class, you can't help but enjoy it.

  • @kurdy_wurdy6592
    @kurdy_wurdy6592 2 роки тому +400

    I need Eddie as my math teacher. He’s so knowledgeable and looks at maths from a different point of view that makes it fun and still educational

    • @michaellinner7772
      @michaellinner7772 2 роки тому +6

      You don't need a math teacher that's excited about the subject. What you do need is to actually be excited about it yourself.

    • @joewiniecki3282
      @joewiniecki3282 Рік тому

      @@michaellinner7772what we need to do is rename math. What a bland, unexciting word

  • @patrickgerardphotography
    @patrickgerardphotography 2 місяці тому

    This is a great example for house framers! Especially when you are putting fascia on your roof. At one end of the roof 1l8 " is not noticeable at all...but add that up to the other end and you're off by 1 1/2 it's massively noticeable. Also, love how much you care it really shows! That's what make you a good teacher!

  • @Rishun
    @Rishun 3 роки тому +143

    I wish this guy was my math teacher. He makes learning fun and engaging get you’re still getting all the info you need

    • @travisw2787
      @travisw2787 3 роки тому +2

      Pretty good explanation! My only question is why does he have a smaller whiteboard mounted to larger whiteboard?

    • @wayababaya
      @wayababaya 3 роки тому

      @@travisw2787 i didn’t even notice lol

  • @pinnacleexpress420
    @pinnacleexpress420 2 роки тому +687

    Mind blowing how a 1⁰ difference generated a whole square. However it's effectively kinda doubled by the acute vs obtuse difference between the two and +1square is only a 3% increase in area

    • @iankeith
      @iankeith 2 роки тому +34

      It's not dissimilar to how in golf, a very slight change in the angle the club is facing as it contacts the ball can make a massive difference down the fairway in the drive, or how in bowling, a very slight error in the angle at which you release your ball can result in misses of varying differences and extremities.

    • @thanoscube8573
      @thanoscube8573 2 роки тому +11

      Or if you're in a spaceship flying to Mars and you forget to adjust course, *zoooommm* "oh damn looks like we missed mars"

    • @pinnacleexpress420
      @pinnacleexpress420 2 роки тому +8

      @@anomallie It's the fact that essentially at a glance, it looks like this triangle is small enough that I could use my fingers to count the squares without getting confused. It just seems like a low number of squares in the triangle. And then, by altering an angle to a degree so small that we can't even see it, with a perceived-to-be low count of squares, a whole new square is able to show up? The main thing that blew my mind was how small of change it took in one dimension to produce a blatantly palpable change in 2 dimensions. Yes dude it all makes sense in the end, I'm just expressing how my perception was thrown off, including the fact that the angle difference is essentially doubled by pulling in from the hypotenuse midsection instead of altering a corner angle by 1 degree, which makes the change half as noticeable/twice as changing compared to how much change we perceive

    • @bfg3890
      @bfg3890 2 роки тому +1

      Just had to make it about you didn’t ya

    • @PJOZeus
      @PJOZeus 2 роки тому +1

      Worth noting it’s probably closer to like 1.8 or something, rounded to a flat angle and all
      Not much of a difference, but slightly more reasonable

  • @hartleyb8356
    @hartleyb8356 3 роки тому +294

    You actually made math interesting! I wish I had a teacher like you! My grades would’ve probably been a lot better. You kept me intrigued the entire time!

    • @zSuperNoobs
      @zSuperNoobs 3 роки тому +6

      your grades would’ve been better if you kept yourself intrigued

    • @fffffffffff3722
      @fffffffffff3722 3 роки тому +19

      @@zSuperNoobs the teacher's the one delivering the information, why would it ever be the students responsibility to stay intrigued

    • @user9999-z
      @user9999-z 3 роки тому +4

      @@fffffffffff3722 bruh you need to stay intrigued even if the teacher isnt doing that.

    • @Jords250
      @Jords250 3 роки тому +6

      @@user9999-z it's hard to stay interested in something, that's just how our brains work

    • @user9999-z
      @user9999-z 3 роки тому

      @@Jords250 welp, not all.

  • @stream_gene
    @stream_gene 2 роки тому

    UA-cam algorithms brought me here, I remember doing this problem in school, except my teacher wasn't as energetic and engaging as you are, you're a credit to the profession!

  • @losebiberos
    @losebiberos 3 роки тому +153

    I wish i had a teacher like this. You can hear that the students enjoy maths because of him. That just proves that sometimes teachers are the problem in education.

    • @nikoclesceri2267
      @nikoclesceri2267 3 роки тому +1

      Most teachers and their unions are the problem

    • @bowtiefrenchfry800
      @bowtiefrenchfry800 3 роки тому +3

      teachers dont get paid enough for such an important job tbh

    • @bowtiefrenchfry800
      @bowtiefrenchfry800 3 роки тому +3

      @@nikoclesceri2267 darn teachers trying to get more rights!! how dare they!

    • @nikoclesceri2267
      @nikoclesceri2267 3 роки тому

      @@bowtiefrenchfry800 trying to reform the system so that bad teachers can actually be fired for being bad at their jobs only to be block by the unions is not getting more rights. I went to school, and I have some learning disabilities and instead of working with me and trying to help he do well the insisted on teaching me their way (which wasn't working) and getting me on drugs so that they wouldn't have to dealing with me. There are some teachers that do their jobs well but the vast majority from my experience are just lazy entitled brats

    • @bowtiefrenchfry800
      @bowtiefrenchfry800 3 роки тому

      @@nikoclesceri2267 wha? getting you on drugs? like this is understandable to be upset about if the drugs literally dont work for you or are too expensive for you or some sort of reason why you shouldn't use them but drugs themselves aren't an inherently bad thing, all medicines are drugs. either way the fact that the teachers at your school were ignorant doesn't mean unions themselves are a problem

  • @kevingarcia7738
    @kevingarcia7738 3 роки тому +167

    This video made me remember how much I loved my math classes in high school thanks to good, enthusiastic teachers like you. Thank you!

  • @shine_yang
    @shine_yang 3 роки тому +44

    This guy is a maths teacher here in Sydney and is quite famous I had a family friend who had him and she said he was amazing

    • @zer0state842
      @zer0state842 3 роки тому +1

      Which Sydney do you mean? There is probably a more well known Sydney that people would normally default to but there’s a little town on Vancouver island, BC, Canada called Sydney, so it would be cool if it was the same one

    • @laughingcube
      @laughingcube 3 роки тому +8

      That's an Aussie accent he speaks with.. the way he says 'yeah' gives it away

  • @Jean-jk4zv
    @Jean-jk4zv 2 роки тому +1

    On the upper figure, look at the point where orange and blue triangle meet. Stay at the same x coordinate but go to the lower figure. It's slightly upper on the grid relative to the figure which shows the trick without any calculation.

  • @puzzLEGO
    @puzzLEGO 3 роки тому +5072

    Fun fact: every single classroom in Australia basically looks like this

    • @LXD091
      @LXD091 3 роки тому +266

      This is how i'd imagine most classrooms look like around the world. (Most)

    • @moodlethenoodle
      @moodlethenoodle 3 роки тому +8

      What how did I find 1 of your 2 comments

    • @Hazz31
      @Hazz31 3 роки тому

      😭

    • @midnightdancingdancingdanc9389
      @midnightdancingdancingdanc9389 3 роки тому +18

      @@LXD091 nah in my school in the philippines, we may not have a projector but we have an LED screen and a huge and long whiteboard

    • @ewanb1086
      @ewanb1086 3 роки тому +9

      Yep but in my area of Australia it’s just primary school that looks like this
      Ps: I’m a big fan of your channel

  • @SteA197
    @SteA197 3 роки тому +98

    Lazy day between Christmas and New Year and this is the perfect content. Thanks man!

  • @Wandergirl108
    @Wandergirl108 3 роки тому +350

    Fascinating! Honestly this made me really nostalgic for being in school, which might be a weird thing to be nostalgic about, but like…learning things is fun, and I kinda miss it. As soon as it was pointed out that the red and blue triangles were of different slants, I understood what was going on, but it was still delightful to see it explained out. Thank you for uploading this, it weirdly made my night. XD

    • @haydencassidy9536
      @haydencassidy9536 3 роки тому

      Well said

    • @NewAgeSlaves
      @NewAgeSlaves 3 роки тому +4

      Not weird at all I think in our hard or hearts we yearn for understanding and stability translating into education its stimulating and gratifying when we embark or accomplish something we're passionate about

    • @domphilbrick
      @domphilbrick 3 роки тому

      Same. I loved having teachers passionately explain cool things like this, but I didn’t truly realize how much I missed it until watching this video, and realizing that I’ll never be able to relive those days.

    • @rtvandle
      @rtvandle 3 роки тому

      This blew my mind when i was at school, never trusted a math teacher again :P they are all mathmagicians

  • @jiujitsu2113
    @jiujitsu2113 2 роки тому +3

    This teacher is the true meaning of somebody enjoying and loving what they do!

    • @eugene531
      @eugene531 2 роки тому

      This is the guy who doesn't pay much attention on his salary. as long as he's enjoying his job and he can eat 3x a day, he's very okay with it

  • @TehBIGrat
    @TehBIGrat 3 роки тому +180

    The physical puzzle of this just has slack in the peices to hide the missing square. Really neat to see a geometric version of a tactile puzzle

  • @SolarG_Official
    @SolarG_Official 2 роки тому +167

    UA-cam stiles again recommending a fantastic channel 7 years too late. Going to subscribe because you explain these concepts in such a captivating way. Wish I had teachers like that when I was younger. Well done!

    • @yoki_00
      @yoki_00 2 роки тому

      @John Doe i've been seeing this a lot, eh it's probably a rick roll (the link looks sus)

    • @SolarG_Official
      @SolarG_Official 2 роки тому

      @@ChaosLord5129 on the contrary, I was one of the top students in the AP classes offered in my school. Although there were definitely some fantastic professors there, this individual really knocked it out of the park explaining very clearly while really keeping the audience 's attention from a broad range of ages.

    • @SolarG_Official
      @SolarG_Official 2 роки тому

      @@ChaosLord5129 my final reply to you since it's not worth continuing to debate this, but I was stating this guy is fantastic, and even though yes I had great teachers, I wish they were more like him that can capture your attention. If you can't understand that, then this conversation is a loss. Thanks for your time :)

  • @depressoespresso5904
    @depressoespresso5904 3 роки тому +76

    this guy is an awesome teacher he’s passionate about the subject and sharing it with others so so much better than some other teachers

  • @cometeertherocketeer3848
    @cometeertherocketeer3848 Рік тому +1

    This teacher is amazing, I can tell.

  • @hedwig3927
    @hedwig3927 3 роки тому +165

    I studied engineering and got a minor in mathematics, and I was still stumped enough by this to learn something! Optical illusions that defy your understanding of geometry are so cool. Thanks for the video!!

    • @wolu9456
      @wolu9456 3 роки тому

      1 class. was it Linear algebra or diff equations ?
      i suppose your school didn't clump together algebra,trig,and analytical geometry into 1 class and call it Pre Calculus .
      I was so pissed i spent the time and newcomers didn't have to.

    • @hedwig3927
      @hedwig3927 3 роки тому +3

      @@wolu9456 took both of those - actually you got me looking at my old transcript because I couldn't remember what all I took! And turns out I got the minor after all. Took a random statistics class my last semester to fill out and totally forgot. 😂🤦

    • @tayahgaston2362
      @tayahgaston2362 3 роки тому

      13 8800 New

    • @tayahgaston2362
      @tayahgaston2362 3 роки тому

      @@wolu9456 what does Chloe saying I do it all the salt before after we play the Schuyler game in Jonathan supercharger anyways I can’t no one am I see the familiar triangle look familiar Milyer I don’t know I seen it like this in them up this familiar triangle, who is in the power to do porn to how many how many the total chaos emeraldsSound so why the mystery bag guy zone

    • @tayahgaston2362
      @tayahgaston2362 3 роки тому

      Tra Friends are combined their powers to get blue how are you call Mr. Valentine Valentine how old are you in star

  • @ryder2156
    @ryder2156 3 роки тому +18

    I love how I went from being stumped by this to understanding it while also being interested in what the answer was. The power of a good teacher