The Power of Mathematical Visualization | The Power of a Mathematical Picture | Wondrium
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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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i love his enthusiasm. it makes me happy.
You literally showed how Do math. Saved thousands of students suffering from wrongness in calculating things without the help of visualization. Thanks a lot !
13:30 that’s where he gets his powers
@@bridgetmason2995 maybe they did but so what?
This is the most outstanding and palatable presentation of math I've ever experienced
A picture is worth a thousand words and an idea spawns ideas, but a video is a thousand pictures! Great job 👏!
As someone who struggled with math all my grade school years, this video made me so happy
Wow
Absolutely brilliant. Signing up right now to see the rest!
Thanks!!! your passion and love for numbers is a breath of fresh air. You show the beauty of this science!
Thank you all educators for your enlightenment!
Wow! Please do more of these vids. I was really amazed at the beauty and simplicity of the problem 😇💙💙
I've been using these same tricks for years since I was a kid, nice to see them out and about on TH-cam
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..
Impressive really wish all math teachers were like you
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
i want Dyscalculia
I love The Great Courses! Totally worth the money!
This is any dyslexics dream - love this video
I wish you were my math teacher growing up 😭
this is life changing..thank you!!
Just fantastic, thank you!
Mind blowing analysis !! Great job.
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. :)
You changed my life with this video
Genius, thank you.
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.
Sir
Excellent 🙏
Fantastic!
I enjoyed the video. 👌
From Saudi Arabia
I’m sad I’m just learning this but excited I am.
The best video I have ever seen.
Nice video!
Thank for teach this
Incredible
This guy is a genius!!!
Good, keep up.
Best video ever👍👏👏
I subscribed at 6:00
couldn't resist
brilliant stuff
Thank you for joining us, Minimalist Matt! Never stop learning :)
Even I undeerstood this lecture.
Indeed pictures are just as important and colored pictures because we see in color not black and white, generally we use all our senses touch, seeing, hearing and then our instinct and intuition so when we do things we feel it, hear it and see it but in the background our instinct and intuition are working along with it and so all elements need to be taken into account.
Back in school it's usually always just hearing and seeing but lacks the textual instructions it's useless hearing or seeing it when i can't see any textual instructions to keep flipping back and forth to in order to keep going back to it and something i can take home, or it's useless if you only give me textual instructions but no pictures so either way it's a fail.
I'd say it's 50/50 if i need audible and visual or text and visual but... your gonna need to slow it down and break it up more if your going to do audible and visual and sometimes it works better to see someone showing me how to do it like with Long Multiplication and Division yeh that defo needs to be shown step by step, but text and visual is all you need for a lot of concepts, but audible and visual i find myself also typing up the textual instructions too because i don't want to keep putting 6 - 12 mins into watching the same video over and over and if your still in school they're defo not gonna show it to you again more than once but they don't slow down... so you need the textual instructions too so you don't have to continually keep asking for help and gets annoying lol, we need to match the instructions to the pictures too, so all three i end up using.
I'd say i'm good with just working out the sums from how we see them doing 7+2, 9+1, 7+1 and then 1 or subtraction you just do it backwards and sometimes if you've got 16 - 8 then just count upwards from 8 to 16 and it works fine but from my 8 times table i can already see 8 + 8 is 16, the normal operation really cos you just get quick at it and if you need to just quickly use your fingers and your fingers are just a visual i prefer to see them as sticks.
It's more complicated having to keep drawing things at least for me anyway i don't want to lol, i'd be there for 15 - 30 mins drawing so many dots and it gets quickly repetitive but i'm just not innately good at drawing or writing if not it's stressful for me. Squares if given a picture i just look at count the outside ones and multiply 5x5 and if i drew it then i'll only draw 5 squares across and 5 down my brain fills in the rest, but you can see how a visual representation is still used when i say use your fingers but just seeing the sum is still visual.
I can't do without any element i'm fully human who needs a combination of everything, i'm not sure how some ppl use pictures a lot more than numbers but i can see how it could work. The game that you played with the squares that is an actual game but yeh certainly why you can't solve them all without 2 purple squares when the number of squares aren't Even (can't be multiplied or divided by 2) so by having 2 purple squares you make it 24 squares instead, but i think the game would work better in a 16x16 or 20x20 rectangle, it's obvious something won't work if it's an odd number.
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!
LOL i always got in trouble cz i visualise math and teachers were imposing their methods which almost made me hate math
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
Just wow 😲😲😲😲😍😍
Nice!
Need to do both always question everything
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..."
The link to your course in the description didn't work for me, but I found it via the site's search bar.
ok fine ill subscribe🤔
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.
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
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?
Honestly we need everything really cos we use all our senses when we do things we use touch by touching the desk, writing with our hands, typing, the we see when doing it and hear us writing or clicking but when we see we also see in color not in black and white so why using colored pictures is the best you could use and using anything else doesn't work as well.
Some people seem to like visual representations more like this guy but in general he still uses everything because he's feeling, seeing and hearing himself drawing i'm not sure how some people lean more towards pictures but they do. The pictures however can't be understood without the textual instructions too and honestly it's so cruel when they erase it in schools they darn well know what they're doing there because you can't only read through them once you need to flip back to them as many times as you need to but you need to know what to do then be able to match them to the pictures so see how to do it and where to write things.
However the power of our intuition and that sense of just knowing something you don't know what yet but you know you're trying to get at something it's not been taken into account in education but it's clearly essential we're allowed to follow that and not be made scared of doing that because it gives you clues as to what direction you need to be going and for yourself and how you do things.
In an alternate life this man owns a dojo.
Wow... juuuust wow...
Same with physics
Omg. This is so scary!
Also pls create a video for practising these skills
On time 3:48 i don't understand.Whay after i tried it fail
Math is pretty fun
Wow 😱😱😱😱😱😱😱😱
How to buy this course from India?
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&SocialMediaEditorialTH-cam&
Thanks
I did without taking advance math course plus I used advance math course
I love the way he does click bait
Ahhh, yes. Philomath Candy... Nice.
Did anyone realise the missing 35 for the denominator at 29:15?
Good eyes! We’ll report this to our team to update in the course.
I got the square puzzle in 1 try.
Be right back, I'm gonna go for a walk.
This is tough tho
Great video!
But has the look of a televangelist on a numerology kick
It’s a quite depressing childhood story...
I never looked at math as robust and pleasing. Apparently I’ve been looking at it from the wrong perspective.
🔥🔥🔥
Omg
"Mathematical education today is far more enlightened"
Lol nope
XD
In school I would say it isn't much more enlightened, but, outside it, students are FAR more capable because of internet and such.
Yhea I'm really asking myself; what brings him to this statement... 🤔🤔🤔🤔🤔
Well i think the methods and teaching aides are but people that teach it arent
I'm an excellent driver.
It's a 5min explanation but he did a long video of 20+min...
2000000000000000000000000000 iq right there
"...mathematics education is much more enlightened today."- Nope
gosh this is really making me sleepy