Arthur Benjamin - Secrets of Mental Math

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  • เผยแพร่เมื่อ 3 เม.ย. 2014
  • Arthur Benjamin, Professor of Mathematics at Harvey Mudd College, explains the fundamentals of performing mental mathematics. This video was produced for Mathematics Awareness Month, 2014. Visit www.mathaware.org for more.

ความคิดเห็น • 471

  • @sixtallballer
    @sixtallballer 8 ปีที่แล้ว +551

    They should teach this in schools

    • @jakeabusaid1184
      @jakeabusaid1184 8 ปีที่แล้ว +7

      I agree

    • @avirambhalla-levine1854
      @avirambhalla-levine1854 8 ปีที่แล้ว +29

      +Sixtall baller There is a logical reason to not teach this in schools, at least until students learn Algebra I as knowing the method without its justification may end up being detrimental in the future as innovation depends on seeing and using the justification, not just the method.

    • @meowjan3447
      @meowjan3447 8 ปีที่แล้ว +11

      yes, they only teach us to accept and use tech

    • @adamnguyen1808
      @adamnguyen1808 7 ปีที่แล้ว +5

      If you want to learn this and use this actively you can either study by yourself or ask your schools math team coach, you should learn a new trick to actively use every week(Depending on the frequency of the meets)

    • @smorrow
      @smorrow 5 ปีที่แล้ว +4

      If they taught it in schools no-one would learn it.

  • @Pilgrim182
    @Pilgrim182 3 ปีที่แล้ว +45

    His passion is contagious.
    Learn something from everything and learn EVERYTHING from SOMETHING; then tell that something to the world with all the passion you can.

  • @thefruitofpassion927
    @thefruitofpassion927 7 ปีที่แล้ว +205

    This guy is like the Bob Ross for the math world. He's awesome!

    • @curiouscollectiblesAU
      @curiouscollectiblesAU 5 ปีที่แล้ว +6

      He'd make Ross really proud.

    • @noahcoats7543
      @noahcoats7543 5 ปีที่แล้ว +6

      Math is an art, and I think this guy definitely "Beat the devil" out of Bob....
      (Note Bob said in like, every video when cleaning your brush to "beat the devil out of it.)

  • @shou7310
    @shou7310 7 ปีที่แล้ว +112

    No but seriously as I never say this to someone, this man is not only intelligent but very likeable. I watched many of his videos and he seems like a real nice man.

  • @RalphTyrant
    @RalphTyrant 8 ปีที่แล้ว +180

    "i wont let this stop me" Jesus he has gone mad with MATH lol love this guy!

  • @koreboredom4302
    @koreboredom4302 6 ปีที่แล้ว +126

    I feel like a genius now.

  • @FirstnameLastname-dm2xl
    @FirstnameLastname-dm2xl 6 ปีที่แล้ว +168

    If maths was taught with this most basic logic instead of some complicated interpretation then you'd see more people liking maths and be good at it.

    • @casey-gt8nl
      @casey-gt8nl 5 ปีที่แล้ว +2

      not really. this isn’t logic and doesn’t work for most math principles.

    • @intergalacticraisins8985
      @intergalacticraisins8985 5 ปีที่แล้ว +3

      @@casey-gt8nl It isn't meant to work for most math principles. It's only intended for squaring and what makes it illogical? It is a reliable method for squaring.

    • @eldiegoasecas
      @eldiegoasecas 5 ปีที่แล้ว +2

      @@intergalacticraisins8985 but it is not that logical, it's just mnemotechnics. where's the logic if you can't follow the same procedure for any number?

    • @eldiegoasecas
      @eldiegoasecas 5 ปีที่แล้ว

      @@intergalacticraisins8985 also not that really practical at all. have you seen the mess that 98^2 got into? tell me that's easier than multiplying 98*98 or if you want it 100^2 - 98*2

    • @intergalacticraisins8985
      @intergalacticraisins8985 5 ปีที่แล้ว +11

      @@eldiegoasecas what numbers doesn't it work for? 98^2 is just 96*100 which is 9600 plus 4 so 9604. You wouldn't need to use this for 100^2 because obviously it's just 10000. Just because there is a faster method in some situations doesn't mean it's illogical.

  • @looperlpera2165
    @looperlpera2165 3 ปีที่แล้ว +13

    This really made me happy. I'm tearing up now. I have always been bad at mental math and people would make fun of me. Just his whole energy and making me learn step by step is such a nice feeling.

  • @nikp6302
    @nikp6302 9 ปีที่แล้ว +458

    Why can't he be my math teacher??? 😩

  • @Ayy_Doll_Fiddler
    @Ayy_Doll_Fiddler 3 ปีที่แล้ว +9

    If only there's more teachers like him, everyone would appreciate maths more.

  • @allendowe6339
    @allendowe6339 8 ปีที่แล้ว +489

    Tedx brought me here..

  • @filipeernesto9185
    @filipeernesto9185 4 ปีที่แล้ว +4

    I’ve self deducted this exact squaring formula at school when i was 15 once, cant believe he did just the same!!

  • @tarunkumar939
    @tarunkumar939 2 ปีที่แล้ว +5

    Thank you Sir. Amazing . Sir, yours videos helping me to teaching in schools. It helping 100s of poor children in learning maths easily.. Yours service is unforgettable... Thank you

  • @605gbird
    @605gbird 4 ปีที่แล้ว +2

    This guy is so awesome! Love his energy and enthusiasm

  • @yehansadissanayake915
    @yehansadissanayake915 5 ปีที่แล้ว +3

    Thank you so much for sharing your knowledge with everyone! You are an amazing guy!

  • @jonahfox1503
    @jonahfox1503 8 ปีที่แล้ว +1

    This is absolutely incredible

  • @user-kp7fv2wo9m
    @user-kp7fv2wo9m 2 ปีที่แล้ว

    I just read his book on secrets of mental math and it’s really fun to see him explain everything in his book

  • @nattawattangthanakitroj120
    @nattawattangthanakitroj120 8 ปีที่แล้ว +3

    Thank you so much for sharing this video.

  • @abelp40
    @abelp40 7 ปีที่แล้ว +1

    That's dope. I got a PreCal test this week, this vid should help me speed through it.

  • @Macmerck12
    @Macmerck12 7 ปีที่แล้ว +2

    Amazing job sir! I wish math was taught to me like this in HS. Keep putting out more videos

  • @ggstein
    @ggstein 3 ปีที่แล้ว

    I would have saved soo much time if I had watched this video a couple years ago. Tks for posting it.

  • @tim1878
    @tim1878 2 ปีที่แล้ว

    This is wonderful. I have the audio versions of "The Joy of Numbers" and "The Joy of Math," as well as "Mathemagics," but having this audio-visual format is a great advantage.

  • @mir.9805
    @mir.9805 2 ปีที่แล้ว +1

    I'm slightly dyslexic and the way this man explains things is beautifuly simple and easy to understand.

  • @princesscharlen8389
    @princesscharlen8389 4 ปีที่แล้ว

    U are the best math teacher 👨‍🏫 I have ever seen. Solving math with u is so much fun and lively . More grace sir .

  • @kanishmaray
    @kanishmaray 5 ปีที่แล้ว

    You're the coolest person I came across, Professor Benjamin.

  • @kwilson5832
    @kwilson5832 ปีที่แล้ว +1

    I've watched several of Arthur Benjamin's videos on youtube and I find them fascinating. In another one, he says that he starts saying the answer to a problem before he has worked out the whole answer (an advantage of working left to right). At 9:20, when he says "19 Million", he doesn't know what the rest of the answer is, but he knows it's 19 Million and something, so just says "19 Million" so that he can get it out of his head while he works on the rest of the answer.
    I find it even more fascinating that he says that by the time he gets to the end of his answer, he sometimes can't remember what the beginning of it was. I can really see that in his answer to the last problem. I wouldn't be surprised if he forgot the answer started with 19 million by the time he had verbalised the whole answer.
    He is an amazing entertainer and teacher!

  • @smellis2564
    @smellis2564 4 ปีที่แล้ว

    Watched this guys ted talks and this video taught me alot I'm trash at maths and this guy is a inspiration to make maths fun

  • @yobhetsocon9206
    @yobhetsocon9206 9 ปีที่แล้ว +1

    Thank you for this. Really help me a lot. Thank you.

  • @RomeoBaulaJr.
    @RomeoBaulaJr. 5 ปีที่แล้ว +1

    I LOVE YOU PROFESSOR ARTHUR BENJAMIN

  • @Spider_7_7
    @Spider_7_7 10 ปีที่แล้ว +20

    That was very impressive, Professor Benjamin. :)

  • @MRSDR100
    @MRSDR100 7 ปีที่แล้ว +2

    This made me so happy!

  • @hemungkapoor1368
    @hemungkapoor1368 4 ปีที่แล้ว

    It's wonderful, thankyou so much sir, keep making more videos.

  • @underthetreekidtv8161
    @underthetreekidtv8161 4 ปีที่แล้ว

    short. of words.I can't believe ,I m catching up so good.

  • @MrChris76ize
    @MrChris76ize 5 ปีที่แล้ว

    This is so useful ! Thank you so much ! And Im much impressed...

  • @y_p7
    @y_p7 8 ปีที่แล้ว +8

    Very very very AWESOME, This guy is Insane !!!! Oh my god

  • @chrisp4138
    @chrisp4138 7 ปีที่แล้ว +48

    anyone interested in this should buy his book 'The secrets of mental math'

    • @daveortega1689
      @daveortega1689 5 ปีที่แล้ว +1

      wats his book called

    • @rockocasso189
      @rockocasso189 4 ปีที่แล้ว +23

      Dave Ortega Just by your comment i think his book wouldn’t even help you

    • @daveortega1689
      @daveortega1689 4 ปีที่แล้ว +1

      Rocko Casso jajaja your wright, math is difficult i see my mistake

    • @allansherin9565
      @allansherin9565 4 ปีที่แล้ว +3

      @@daveortega1689 What rocko meant is that Chris even wrote the book name and your asking the name of the book.

    • @aakash8923
      @aakash8923 4 ปีที่แล้ว

      PDF are free available on google

  • @novianstringer6580
    @novianstringer6580 5 ปีที่แล้ว

    this really worked and i will use it for the rest of my days since i am 76

  • @davidburrowsyt
    @davidburrowsyt ปีที่แล้ว

    Absolutely fantastic!

  • @TheJoshtheboss
    @TheJoshtheboss 6 ปีที่แล้ว

    Absolutely amazing!!

  • @charlieevans109
    @charlieevans109 6 ปีที่แล้ว

    This man has made me happy.

  • @RapidScience
    @RapidScience 5 ปีที่แล้ว +2

    this guy is so cool! He is so smart I love his tricks

  • @sonnyjohnson100
    @sonnyjohnson100 9 ปีที่แล้ว

    Excellent video!

  • @parikshitsidpara2853
    @parikshitsidpara2853 9 ปีที่แล้ว +1

    wow loved this video...thanks to benjamin

  • @zachary4137
    @zachary4137 4 ปีที่แล้ว

    this is helping me so much!!!! thank you 🙏

  • @user-gd2kj5um9r
    @user-gd2kj5um9r 6 ปีที่แล้ว +2

    This is amazing !!!😍

  • @EDU4ALL09
    @EDU4ALL09 10 ปีที่แล้ว +28

    u seem to know a lot, share your knowledge by making a lot of videos !!! Thanks sir

  • @skylordquasar
    @skylordquasar 4 ปีที่แล้ว +1

    Most educational nine minutes in quite some time.

  • @charlessirstutorials932
    @charlessirstutorials932 3 ปีที่แล้ว +1

    An amazing way to handle such an amazing subject by such an amazing teacher. Hats off.
    #Charlessir'stutorials

  • @Bootsii
    @Bootsii 5 ปีที่แล้ว

    I just love him so much!!!

  • @kartiksharma7370
    @kartiksharma7370 7 ปีที่แล้ว

    Loved this

  • @cMaslow
    @cMaslow 9 ปีที่แล้ว

    Very well explained.

  • @vivekjain2261
    @vivekjain2261 8 ปีที่แล้ว

    excellent!!!
    You are great benjamin!!

  • @SamanthaCoolBeans
    @SamanthaCoolBeans 7 ปีที่แล้ว

    this has just blown my mind....

  • @officialabs9019
    @officialabs9019 6 ปีที่แล้ว

    it is a very nice and amazing technique i love it

  • @julietfoote6687
    @julietfoote6687 8 ปีที่แล้ว

    Every time he drew a smiley face in the 0s I had to pause the video because I was laughing. It was just so unexpected at first. But thinking about it, it's actually a pretty good way to teach someone to multiply numbers with a bunch of zeros on the end because then you don't forget them even if you aren't using them in the initial calculation. And it's awesome.

  • @hareeshprasana1197
    @hareeshprasana1197 8 ปีที่แล้ว +1

    really i start loving maths

  • @tsiryolivarajaonarisoa9932
    @tsiryolivarajaonarisoa9932 3 ปีที่แล้ว

    Thank you sir.

  • @tehhaldiniho
    @tehhaldiniho 6 ปีที่แล้ว

    literally, this should be in the curriculum, thanks (:))

  • @amitseth2891
    @amitseth2891 7 ปีที่แล้ว

    you are great sir, i have mug up squares 1 to 100 by different method but your method is just too easy. Thanks

  • @jessebadger4405
    @jessebadger4405 3 ปีที่แล้ว

    Blows my Mind

  • @zidiqabdallah9666
    @zidiqabdallah9666 8 ปีที่แล้ว +2

    Amazing thank you

  • @ziggytheking
    @ziggytheking 10 ปีที่แล้ว

    I love your mathematics plan to use it with grand kids !

  • @rafaelsales3954
    @rafaelsales3954 5 ปีที่แล้ว

    AWESOME, I’ll learn it!

  • @bestmovieclips4k288
    @bestmovieclips4k288 5 ปีที่แล้ว

    It is very useful. Thank you sir

  • @pragatimhaiskar3047
    @pragatimhaiskar3047 7 ปีที่แล้ว

    you are awwossome. ......... hats off to you.........

  • @keniangervo8417
    @keniangervo8417 10 ปีที่แล้ว

    Thanks! Rüdiger Gamm should make some tutorial videos about his methods (he's top1 mental calculator in the world atm)

  • @carlosmartinezsuarez3541
    @carlosmartinezsuarez3541 3 ปีที่แล้ว

    I love this man

  • @alecvan7143
    @alecvan7143 4 ปีที่แล้ว

    Fascinating!

  • @MichaelShulski
    @MichaelShulski 7 ปีที่แล้ว

    His enthusiasm is infectious. I had a math teacher similar to him. She was big on hard work though. A lot of students didn't like her. Somethings are no pain no gain. Maybe he could have made it easier.

  • @popperpund2353
    @popperpund2353 4 ปีที่แล้ว

    thanks, good job

  • @MrCrunchyLolipop
    @MrCrunchyLolipop 3 ปีที่แล้ว

    Love this guy

  • @vuongquoc1981
    @vuongquoc1981 9 ปีที่แล้ว +20

    very cool method of squaring random 2 digit number using formula: A^2 = A^2 - d^2 + d^2 = (A + d)(A - d) + d^2

    • @diegoflores6164
      @diegoflores6164 5 ปีที่แล้ว

      Ive known this theorems all the time, but in school never been taught nor discovered by myself this.

    • @eldiegoasecas
      @eldiegoasecas 5 ปีที่แล้ว

      it's much easier to multiply the two damn numbers ffs

    • @PranamyaPradeep
      @PranamyaPradeep 4 ปีที่แล้ว +1

      @@eldiegoasecas not in your head, this makes it simpler

  • @jbenn88
    @jbenn88 8 ปีที่แล้ว

    Awesome stuff! The hardest part of understanding this video was trying to figure out what was "off". Something was getting to me. Then I noticed he missed a belt loop on the back of his pants. I hate those pants with two loops in the middle of the back.

  • @mmamoloimahlaela4340
    @mmamoloimahlaela4340 8 ปีที่แล้ว

    Amazing, I love this :)

  • @Deepak-pi9xx
    @Deepak-pi9xx 8 ปีที่แล้ว +2

    thank you very much. it's making me better in maths 😊

  • @rahulthakur-vx4ll
    @rahulthakur-vx4ll 5 ปีที่แล้ว

    such an amiable genius

  • @user-jj3mo1ps5f
    @user-jj3mo1ps5f 2 ปีที่แล้ว

    It,s wonderful.

  • @Unanswerble_
    @Unanswerble_ 5 ปีที่แล้ว

    Okay this what my 4th class student can teach you!! Even every number's square
    I will be happy if you do same for cube and so on.

  • @Golden-xe4il
    @Golden-xe4il 5 ปีที่แล้ว +1

    i need this for school

  • @shohruhrozikov8974
    @shohruhrozikov8974 8 ปีที่แล้ว

    very useful video i like this teacher

  • @pranprotim3932
    @pranprotim3932 7 ปีที่แล้ว

    Thanks sir.

  • @toshifchhipa8938
    @toshifchhipa8938 7 ปีที่แล้ว

    REALLY AWESOME

  • @halafaris3467
    @halafaris3467 9 ปีที่แล้ว

    Thanks really helpful

  • @AnshuKumar-bl1xr
    @AnshuKumar-bl1xr 5 ปีที่แล้ว

    Amazing..

  • @tinkerscraft1154
    @tinkerscraft1154 7 ปีที่แล้ว

    wow...amazing!

  • @fischi3129
    @fischi3129 6 ปีที่แล้ว

    Thank you

  • @Adrian-wt2yk
    @Adrian-wt2yk 7 ปีที่แล้ว

    love arthur benjamin

  • @theadventuresofjandl2981
    @theadventuresofjandl2981 6 ปีที่แล้ว

    I love you arthur benjamin

  • @richardfredlund8846
    @richardfredlund8846 ปีที่แล้ว

    to find the year code start by dividing the year by 4 to the nearest whole number. For example if the year is 43 dividing by 4 we get 10. Now 10+43 = 53 and 49 is a multiple of 7 so we are left with 4. If it's 2043 then we are done and the year code is 4. If it is 1943 we need to add 1, so the code is 5. This gives the year codes 1900-2099

  • @minunelson8341
    @minunelson8341 5 ปีที่แล้ว

    Wow my favorite mathemagician

  • @PeterKemp
    @PeterKemp 5 ปีที่แล้ว

    Wish I had this information as school

  • @in-ep7qv
    @in-ep7qv 4 ปีที่แล้ว

    Thanks sir

  • @Blakuscus
    @Blakuscus 6 ปีที่แล้ว

    This guy just came to my school🙏🏻

  • @doodlecrayon222
    @doodlecrayon222 3 ปีที่แล้ว

    Thank you. Do you know of any shortcuts for combinatorics?

  • @princesscharlen8389
    @princesscharlen8389 4 ปีที่แล้ว +2

    HOW I wish u were my math teacher from when I started school

  • @severianovillegasq4308
    @severianovillegasq4308 6 ปีที่แล้ว

    i love you Benjamín!!!

  • @c-55anishyadav19
    @c-55anishyadav19 6 ปีที่แล้ว

    Love you sir

  • @svedha8504
    @svedha8504 6 ปีที่แล้ว

    superb

  • @Richard_jordan
    @Richard_jordan ปีที่แล้ว

    He made me love math😀

  • @heartyandsnowballgirl158
    @heartyandsnowballgirl158 3 ปีที่แล้ว

    You’re such a great teacher! I wish you were MINE though... You teach so clearly, but I really want to be able to square any 2 digit number in my HEAD?