The Power of Mathematical Visualization | The Power of a Mathematical Picture | Wondrium

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  • čas přidán 16. 06. 2024
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    The Power of Mathematical Visualization teaches you these vital problem-solving skills in a math course unlike any you’ve ever taken. Taught by award-winning Professor James S. Tanton of the Mathematical Association of America (MAA), these 24 half-hour lectures cover topics in arithmetic, algebra, geometry, number theory, probability, statistics, topology, and other fields-all united by fascinating connections that you literally see in graphics and projects designed by Professor Tanton. In demand worldwide for his teacher and student workshops, Dr. Tanton is MAA’s Mathematician-at-Large-a globe-trotting advocate for teaching math “with beauty and joy and wonder and humanness,” as he was recently quoted in The New Yorker magazine.
    As an example of Dr. Tanton’s approach, see the many applications of a simple game called dots-and-boxes, which is the gateway to a universe of mathematical concepts and operations- some of which might seem quite unrelated.
    00:00 The Visual Beauty of Mathematics
    01:27 Division, Subtraction, and Multiplication
    07:19 Squaring Numbers Using a 5x5 Grid
    11:18 Checker Rules and the 5x5 Grid on Paper
    22:13 Squaring Giant Numbers on a Visual Grid
    24:09 Find a Common Equation in the 5x5 Grid
    28:33 Galileo´s Ratios in the 5x5 Grid
    31:42 Find Confidence and Beauty Visualizing Math
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Komentáře • 87

  • @user-jm2zt2bl7m
    @user-jm2zt2bl7m Před 3 lety +5

    You literally showed how Do math. Saved thousands of students suffering from wrongness in calculating things without the help of visualization. Thanks a lot !

  • @RandyH524
    @RandyH524 Před 5 lety +29

    i love his enthusiasm. it makes me happy.

  • @mysteriesinmind
    @mysteriesinmind Před 5 lety +5

    Absolutely brilliant. Signing up right now to see the rest!

  • @sabinamalish
    @sabinamalish Před 4 lety +2

    Thanks!!! your passion and love for numbers is a breath of fresh air. You show the beauty of this science!

  • @timmytim9054
    @timmytim9054 Před 5 lety +1

    Thank you all educators for your enlightenment!

  • @rayho_
    @rayho_ Před 7 lety +2

    this is life changing..thank you!!

  • @timmytim9054
    @timmytim9054 Před 5 lety +3

    I love The Great Courses! Totally worth the money!

  • @jlpsinde
    @jlpsinde Před 7 lety +3

    Just fantastic, thank you!

  • @marklord7614
    @marklord7614 Před 3 lety +2

    This is the most outstanding and palatable presentation of math I've ever experienced

  • @NilanjanPaul
    @NilanjanPaul Před 6 lety +32

    Wow! Please do more of these vids. I was really amazed at the beauty and simplicity of the problem 😇💙💙

  • @MegaErnieMAN
    @MegaErnieMAN Před 2 lety +1

    I've been using these same tricks for years since I was a kid, nice to see them out and about on CZcams

  • @ericlager9222
    @ericlager9222 Před 4 lety +1

    A picture is worth a thousand words and an idea spawns ideas, but a video is a thousand pictures! Great job 👏!

  • @PGM82607
    @PGM82607 Před 2 lety +1

    As someone who struggled with math all my grade school years, this video made me so happy

  • @redmotherfive
    @redmotherfive Před 4 lety +14

    I wish you were my math teacher growing up 😭

  • @tohnbehn3859
    @tohnbehn3859 Před 4 lety +4

    Impressive really wish all math teachers were like you

  • @anandachetanelikapati6388

    Mind blowing analysis !! Great job.

  • @hexedits369
    @hexedits369 Před 6 lety +32

    13:30 that’s where he gets his powers

    • @raspvidy
      @raspvidy Před 5 lety

      @@bridgetmason2995 maybe they did but so what?

  • @dreamoftheendless7159
    @dreamoftheendless7159 Před 4 lety +4

    I have a math disorder called Dyscalculia and this makes math seem so much easier cause I’m also a very visual person . This man is a genius and if math was taught like this in schools and collage I would be best friends with it lol

  • @glitchy_star_classes6276
    @glitchy_star_classes6276 Před 3 lety +1

    finally i fill enlightened and confident that i must have been a good mathematics student .. to solve all his puzzels and answer all his answers in less than 5 seconds by pausing.. i never tried them though today i realized i had them in me..

  • @navid24601
    @navid24601 Před 2 lety +1

    Thank you very much. I had already thought about multiplying in that way (separately) but I always did wrong. I guess that was due to a lack of visualization. Thanks again.

  • @manirajtehalia6078
    @manirajtehalia6078 Před 2 lety +1

    You just blew up my mind. I can feel brain cells now, btw I am a 10th grade student and want you to make more videos on high school math. :)

  • @startupmicrodose5857
    @startupmicrodose5857 Před 4 lety +2

    This is any dyslexics dream - love this video

  • @atifr5001
    @atifr5001 Před 3 lety +1

    You changed my life with this video

  • @jeramyeswan4014
    @jeramyeswan4014 Před 3 lety +1

    Genius, thank you.

  • @richardrothkugel8131
    @richardrothkugel8131 Před 5 lety +8

    That was amazing, thank you. I've always struggled with mathematics because I couldn't visualise it. I'll definitely be signing up to your course!

    • @Ubersid
      @Ubersid Před 3 lety

      LOL i always got in trouble cz i visualise math and teachers were imposing their methods which almost made me hate math

    • @hlogilehlogonolo5438
      @hlogilehlogonolo5438 Před 3 lety

      I can but I find maths hard even when I visualise, like it’s difficult to visualise all those dots like at the beginning of the video if not impossible but I guess it comes down to practice

  • @marzioforte9364
    @marzioforte9364 Před 5 lety

    Fantastic!

  • @dalsenov
    @dalsenov Před 7 lety

    Nice video!

  • @johnbatchler8551
    @johnbatchler8551 Před 6 lety

    Need to do both always question everything

  • @puspadev7812
    @puspadev7812 Před 4 lety

    The best video I have ever seen.

  • @SurinderKumar-os5il
    @SurinderKumar-os5il Před 2 lety +1

    Sir
    Excellent 🙏

  • @MrSamshy
    @MrSamshy Před 4 lety +1

    I enjoyed the video. 👌
    From Saudi Arabia

  • @darshanbohra8314
    @darshanbohra8314 Před 3 lety +1

    Thank for teach this

  • @omprakashchandraker
    @omprakashchandraker Před 6 lety +1

    Incredible

  • @TheJakoll
    @TheJakoll Před 6 lety +2

    awesome! :D I'll look into taking the course! Have always been able to do maths when I understand the visuals - "As the world is, we see and feel the space, shapes, movement, over time, so what is the language that goes with it ? (rhetorical) language was derived from these considerations, not the other way..."

  • @VisualShiksha
    @VisualShiksha Před 5 lety +1

    Good, keep up.

  • @TheOnlinewayto
    @TheOnlinewayto Před 2 lety

    I’m sad I’m just learning this but excited I am.

  • @mjb14722
    @mjb14722 Před 5 lety +2

    Even I undeerstood this lecture.

  • @KB777edit
    @KB777edit Před 3 lety

    Best video ever👍👏👏

  • @minimalist_mattmathew5834

    I subscribed at 6:00
    couldn't resist
    brilliant stuff

    • @TheGreatCourses
      @TheGreatCourses  Před 4 lety

      Thank you for joining us, Minimalist Matt! Never stop learning :)

  • @jyhinnudget3071
    @jyhinnudget3071 Před 3 lety

    The link to your course in the description didn't work for me, but I found it via the site's search bar.

  • @liamhoward2208
    @liamhoward2208 Před 6 lety +1

    This video is what I have been looking for. I am very intuitive and need visual representation of what I am doing in order to fundamentally grasp what I am learning. When you talked about the game you used to play with your ceiling tiles I immediately started to think about a recent strategy I used in the game battleship. The strategy involved firing at all of the squares that you calculated to be the solution of your continuous line game. I then had an epiphany that I was using a symmetrical algorithm to win the game so my conclusion thus far from your one lecture that I have seen is that symmetry=strategy which then can be applied to the real world. Absolutely amazing. This is what I have been looking for. I now realize how my mind operates!!! Please come out with another video or could you respond?

  • @medlife123
    @medlife123 Před 3 lety

    Just wow 😲😲😲😲😍😍

  • @kristian4243
    @kristian4243 Před 3 lety

    Nice!

  • @peterose8721
    @peterose8721 Před 7 lety +1

    ok fine ill subscribe🤔

  • @paradoxicaluniverse
    @paradoxicaluniverse Před 5 lety +6

    This guy is a genius!!!

  • @Lucky-kt1ix
    @Lucky-kt1ix Před 3 lety +1

    In an alternate life this man owns a dojo.

  • @i.m.gurney
    @i.m.gurney Před 3 lety

    In memory of Florence Nightingale, as a Data Management Scientist I am gratefully she drew the attention of the system to the benefits of viewing data visually.

    • @i.m.gurney
      @i.m.gurney Před 3 lety

      Data Science - a subdiscipline of Computer Science, the manipulation & interpretation of human recorded data.
      Data Management Science - the precursor of Mathematics & Language, an understanding that managing data is the basis of the neuron & all knowledge, then to define the universal (rather than human objective) position of Data Management in the shape of the universe.
      I.M Gurney D.DM.Sc

  • @ijasahammed1630
    @ijasahammed1630 Před 5 lety +2

    Also pls create a video for practising these skills

  • @samuelthamburaj
    @samuelthamburaj Před 5 lety

    Wow... juuuust wow...

  • @michaelgideon3985
    @michaelgideon3985 Před 5 lety

    On time 3:48 i don't understand.Whay after i tried it fail

  • @nidhiagarwal9895
    @nidhiagarwal9895 Před 4 lety

    Same with physics

  • @Diamond_Hanz
    @Diamond_Hanz Před 3 lety +1

    Omg. This is so scary!

  • @ralphlouis2705
    @ralphlouis2705 Před 3 lety

    Math is pretty fun

  • @johnbatchler8551
    @johnbatchler8551 Před 6 lety

    I did without taking advance math course plus I used advance math course

  • @RP-fe8xo
    @RP-fe8xo Před 6 lety

    How to buy this course from India?

    • @TheGreatCourses
      @TheGreatCourses  Před 6 lety +1

      Hi Ruturaj, you can see extra information about this course and subscribe to The Great Courses Plus to watch it here: www.thegreatcoursesplus.com/show/the_power_of_mathematical_visualization?US_OnlineVideo&SocialMediaEditorialCZcams&

    • @RP-fe8xo
      @RP-fe8xo Před 6 lety

      Thanks

  • @Mavish11
    @Mavish11 Před 4 lety

    Be right back, I'm gonna go for a walk.

  • @williamchamberlain2263
    @williamchamberlain2263 Před 4 lety +1

    Great video!
    But has the look of a televangelist on a numerology kick

  • @skylettecheung7147
    @skylettecheung7147 Před 3 lety

    Did anyone realise the missing 35 for the denominator at 29:15?

    • @TheGreatCourses
      @TheGreatCourses  Před 3 lety

      Good eyes! We’ll report this to our team to update in the course.

  • @bhartioswal4242
    @bhartioswal4242 Před 3 lety

    I love the way he does click bait

  • @NINJA-tf6bf
    @NINJA-tf6bf Před 2 lety

    I got the square puzzle in 1 try.

  • @savagenovelist2983
    @savagenovelist2983 Před 3 lety

    Ahhh, yes. Philomath Candy... Nice.

  • @elonmusk1953
    @elonmusk1953 Před 3 lety

    Wow 😱😱😱😱😱😱😱😱

  • @supper179
    @supper179 Před 2 lety

    This is tough tho

  • @NESDUB
    @NESDUB Před 6 lety +1

    I never looked at math as robust and pleasing. Apparently I’ve been looking at it from the wrong perspective.

  • @danielx40
    @danielx40 Před 4 lety

    It’s a quite depressing childhood story...

  • @odenpetersen6028
    @odenpetersen6028 Před 7 lety +38

    "Mathematical education today is far more enlightened"
    Lol nope

    • @andrewe6839
      @andrewe6839 Před 6 lety +1

      XD

    • @LeEnnyFace
      @LeEnnyFace Před 5 lety +5

      In school I would say it isn't much more enlightened, but, outside it, students are FAR more capable because of internet and such.

    • @Robert4865
      @Robert4865 Před 5 lety +2

      Yhea I'm really asking myself; what brings him to this statement... 🤔🤔🤔🤔🤔

    • @tohnbehn3859
      @tohnbehn3859 Před 4 lety +1

      Well i think the methods and teaching aides are but people that teach it arent

  • @Dr_krish20
    @Dr_krish20 Před 3 lety

    🔥🔥🔥

  • @floydsghost
    @floydsghost Před 4 lety

    I'm an excellent driver.

  • @casperycghost
    @casperycghost Před 5 lety

    It's a 5min explanation but he did a long video of 20+min...

  • @nonkululekotembo1652
    @nonkululekotembo1652 Před 5 lety

    Omg

  • @adlerdoesstuff1872
    @adlerdoesstuff1872 Před 3 lety

    2000000000000000000000000000 iq right there

  • @user-yz9kz6vt9y
    @user-yz9kz6vt9y Před 5 lety

    "...mathematics education is much more enlightened today."- Nope

  • @pedinurse1
    @pedinurse1 Před 5 lety

    gosh this is really making me sleepy