Teaching Math Without Words, A Visual Approach to Learning Math
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- เผยแพร่เมื่อ 29 มิ.ย. 2011
- Matthew Peterson, CEO of MIND Research Institute, speaks at TEDx Orange Coast, explaining how words are great barriers to learning for a majority of students. His own struggles with dyslexia and inspiration from Albert Einstein led him to ask the question: can we teach math without words?
MIND Research Institute has created a visual approach to learning and teaching math with its ST Math Software. Through visual math games that are interactive with visual feedback, students learn math with amazing results. ST Math software utilizes years of neuroscience research that teaches kids how to excel in math problem solving utilizing the students spatial temporal reasoning abilities in a language independent visually driven software platform.
Matthew's cutting-edge teaching methods are currently benefiting over 1,200,000 students in 3,200 schools across the United States.
Learn more and play ST Math: www.stmath.com/
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About MIND:
MIND Research Institute is a social benefit organization dedicated to ensuring that all students are mathematically equipped to solve the world's most challenging problems.
Learn more about MIND Research Institute: www.mindresearch.org
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Join the learning community on social media!
MIND Twitter: / mind_research
ST Math Twitter: / jijimath
Facebook: / jijimath
Pinterest: / jijimath
LinkedIn: / mind-research-institute
This guy should be invited to an official Ted talk - these are ideas that deserve the widest possible exposure.
Thanks a million! I'll be 60 in April.
This is a great birthday present!
Thank you so much Matthew.I am 64 years old/young but watching your short,profound clip seemed to nail down why I had problems learning math more than 45 years ago.My brain is so attuned to language sounds and rhythms and when a math teacher mixed in numbers with language my brain always focused on the language sounds or input but not the numbers.
Dropping by to appreciate the concept that you're sharing with us. I agree that it's more beneficial to help the student go beyond the words, and get to the point where they understand how to *think* mathematically. Another "thumbs up" for blending gaming with Math instruction.
I need all subjects in this format. This is how I understand anything. Thank you so much.
This is just a reminder that we ALL learn differently. Take the diamonds of this concepts and leave the rocks. If it works for you, great, if it does not... this is NOT your cup of tea. I am trying to figure this all out for my first year homeschooler starting high school ithis year. I believe he would get this. Good stuff
As someone with Dyscalcilia, this is EXACTLY the problem I encountered. What other people called visual learning examples were still mostly *written* examples with maybe a few blocks or a 2-d picture. That just isn't enough for a very kinesthetic learner. Today's schools have taken intelligent people with a good capacity for learning and reduced them to a "learning disability" due to narrow and insufficient teaching strategies.
Amazing!! This is the New, cutting edge to learning. 💞💞💞 My daughter can FLOURISH in college, now!! We are Soooo hopeful!!!! 💜🌟🌟🌟🌟🌟 She's always been discouraged and struggled with Math. Thank you so MUCH!!!
I'm a math tutor at a local college and I see students struggling all the time with math and it really does seem to stem from not visualizing it and therefore not getting a strong conceptualization of the material. I try to show them visually but it's difficult on paper or on a board and have always wanted to show them a game or something not only visual, but interactive and in action. I think this would be a great addition (no pun intended) for anyone, any age, who's struggling with math! A+
Hey mindresearch, I just watched Teaching Math Without Words, A Visual Approach to learning Math from MIND Research Institute and thought it was great. I'm looking forward to seeing your next one. Thanks again Rob Summers
Fascinating, I love the data on improvement in math learning rate from so many cities, and the story of Omar. I would like to be able to use this kind of approach to teaching statistics.
Amazing concept. Would like to see these sorts of ideas being developed and pushed further in primary schools in the UK! Maths is such a powerful language
I subscribed and I was always horrible in math after multiplication. At age 80 and soon to be a grandmother, this is of interest. Maybe there is still hope.
Mathew, you are so brilliant, thank you for all your sharing. This makes complete sense we learn through our senses. I am wondering how you went about making the animations.
I used something similar in 4th or 5th grade, which was about 7 or 8 years ago, with multiplication tables. There were these different games you could play and it would teach you the tables. I still remember them quite well!
I remember doing st math in 5th and 6th grade not only was it something that I didnt hate doing(probably something I looked forward to and did in my free time) but it thought you math so well and racing other students to get to 100% faster was also fun wished they still had this for highschool, but prob not a good way to visualize some higher up math just yet
I LOVED this talk. Im also a Visual learner.Im 29 with Hydrocephalus and ADD.Im ALSO intellectually at a 5th grade level in Math.I struggle SO much with in fact,Ive taken My Math portion of the GED 7 times.I will definately look at the videos this channel has,as well as the blog website.I just dont have the means for the software.Anyway enough of My babbling,this gives Me some hope I can learn this though. THANK YOU SO MUCH Mr. Peterson.
Thank you for sharing your story, Amanda! Everyone can learn math! For the blog, maybe start with these articles: blog.mindresearch.org/blog/research-shows-students-learn-better-when-they-figure-things-out-on-their-own blog.mindresearch.org/blog/math-anxiety blog.mindresearch.org/blog/math-manipulatives-digital
This software really is essential for people who have dyslexia like myself. I really used to believe that math wasn't a daily requirement but this software explains it all
I'm 36 years old but still need to know how to get hold of your programme thanks for getting back to me
This looks very interesting, I wish I had this when I was in school!
I made a few tweaks to the mayan base 20 system (changing it to be base 10 so we can use our multiplication table), and I think its interesting in that it lets you use both your Visual and Logical brain to solve addition/subtraction problems, its incredibly easy to learn, and it is more efficient at multiplying and dividing by hand because you don't need to keep as many number states around because you can change any number to any other number without erasing it.
@cotccot green squares have adjustable widths and heights, so you have to stretch or shrink them until you get the correct size; when you stretch the square, the five bars grows together aswell.
Sharing this with my colleagues NOW!
keep working! your doing sooo awesome!
I just loved the way you have made a connection of visualizing Mathematics. Would it be possible for you to name the interactive mathematics software , you have shown in your videos. I would really appreciate. Thanks
It’s called ST math the link is in the description 👉 www.stmath.com 👈
I truly enjoy using ST Math to teach math and to engage with students as they learn math and teach one another. It promotes metacognitive engagement. All my students (K-5) LOVE Jiji the Penguin. They ask to play. The don't mind if I do a puzzle talk or say we're going to play for 10 minutes and then stop and talk about what's challenging and then find a partner who can help us think about possible solutions or strategies to find them. My kinder students can not only recite the steps of the problem-solving process, but they can explain what they do at each step and WHY they never engage in brute force problem solving but always begin with looking carefully to SEE what is on the screen and what they THINK Jiji wants us to do, and only then do they TRY to do it. It also makes them feel better about making mistakes because we all do and Jiji always gives us another chance to figure out what to do to help him get across the screen. It is so much better than Imagine Math, which is too mundane and is focused on the answer and not enough on the process, and teaches students they can wait for the program to give them the answer. Whereas, we're not traveling to the next level with Jiji because Jiji isn't going to get there without OUR help. It's truly a great innovation in using ed tech for teaching and learning. I also love that it promotes Socratic method in the true sense of that term and helps teachers to run Socratic discussions to model for students the kinds of questions they can ask themselves when they work independently. THANK YOU!
Thank you!
This program should be in every single school in this country. 90% of students are visual learners or have issues with word-based learning (left-brained), and yet our educational institutions have not changed their mode of teaching in the last 100 years. We need to bring these programs to our kids' schools & demand that the curriculum adapt to help our kids, instead of forcing our kids to change their brains to fit these antiquated & misguided programs.
I love this and am getting this for my child...and unfortunately myself. Brilliant!
Thank you for sharing your enthusiasm for ST Math! Welcome to the community! 💛🐧
@@MIND_Education We don't have a corporate email ID, so getting difficulty in contacting you for demo. Is there an alternative way to get in touch with you?
(cont.) es that exclude actual conditions of the responder, such as requiring a telephone number or requiring a ZIP code even though a post is international).
5. As a math major, I was taught primarily with words, but we also had wordless material - most of which I could not grasp at all.
I was stunned to see the way quadratic equation was visualised and solved .. 🤯🤯
I wish I could take part in such a great team and help kind learn in a faster and more effective way. Keep on doing good you guys ;)
Just amazing!
Very interesting; they should definitely try more visual material in education to explain concepts. Words are most likely still crucial, but for visual thinkers, they should be minimised.
Is it possible to have the program so i can use @ home. I mean i want to use it by pleasure of learning and understanding since i have finished school.
This sounds interesting. How developed is this new method of adding and subtracting method?
This is an amazing program and I'm thankful a visual math program is in the school systems. Does anyone know of something similar that's available to the general public? I'm a dyslexia tutor and would love to use a program like this, but I'm not a school...
a good friend and I were playing a game of Armis online when this video
came up in conversation, we are “think geeks”. Two questions:
1) What was your specific target market for the initial designed
2) please define “spatial/ temporal reasoning” with specific regard
to this video
where can i get one of these programs????
@MIND Research Institue We don't have a corporate email ID, so getting difficulty in contacting you for demo. Is there an alternative way to get in touch with you?
Can we access these resources for using them with our students! Thanks!
Is this still being used in the Irvine schools? Or only in select schools? My daughters would benefit but it's not at their elementary school.
I like this approach to the math very much, how are we far from the reality of ours school?
Good point.
My first thought was, "How do you propose to do this "word-free" math to computer-free kids?" You know, given that computers and poor kids aren't on a one-to-one basis.
My next thought was, "How on earth is that series of moving squares helpful in explaining factors of an equation?" I guess the fact that math-as-math-with-words made sense to me always makes me reluctant to embrace different systems.
I think schools have the means to provide computers so if you don't have one at home, school is where you can learn. In fact, I think this is highly underestimated for some reason. We barely had any instruments at home but at school, there was an entire room filled with keyboards, drums and such, of which we weren't allowed to touch any. Which means I picked up playing the guitar at age 23 by coincidence and have been 5 years into it since then. Turns out I love it.
Schools have computer rooms, labs, experiments, so much stuff you can use, chalk boards, whiteboards, but kids are often seen as vandals (which is somewhat understandable) and are therefore not allowed to use the material that is so abundant. In my school(s), we drew dicks on the chalk board because teenagers, but the complaint was that we shouldn't waste the chalk because the teachers would need it for class. Chalk was a rare resource. It wasn't like the school could just order a ton of drawing chalk.
This is related in my opinion. You're wondering how poor kids can get access to computers and you are right thinking that way. Because schools often do not encourage use of their tools out of fear of the damages that can be caused. Everything is locked away. Optimally, that question would never come up because your first association would be that kids would obviously use that in school because schools are providers of learning utensils. In a perfect world.
As for the math-with-words thing, yes, I think it's exactly that. You're good with words and I know I was, too. I was also good at maths in school, so I tried to help my fellow students with maths homework which was more of a chore than anything productive in my opinion. But they didn't understand the concepts. They were afraid of the topics.
Turns out that breaking the question down into simpler language often helps them make connections. Some were really dense as bricks but others could understand concepts on their own and they only failed at the language barrier. Consequently, many adults are similar in that regard, understanding concepts but with different language.
I'm a visual learner, I think. So when I read stuff, I form a mental image and then work on that. Intelligence tests I've seen have always been much simpler than your average school task. I remember the test I did before enlisting and the test I did years later applying for long-term service. Barely any words. 3 sides of a cube visible and a bunch of cube grids with coloured sides to choose from. So you'd do what's natural. Pick the grid from which you could form the cube shown in picture 1. Repeat.
An association test. 20 symbols and numbers attached to them. Several columns of symbols matching the ones shown above. A cursor pointing at one. You just fill in the number that is attached to that symbol. So simple and straight-forward, no words involved. Eventually, the question was how fast you'd be able to memorize the number associated with each symbol so you could fill the columns before the timer ran out.
It felt so easy and smooth. It was challenging but there was nothing to comprehend before the actual comprehension bit. I believe that language is an important part of our society but it shouldn't impede students' ability to learn.
Anecdote: Friend of mine, pretty smart M.Sc. in physics, told me about a fellow student who was always ahead of him, way smarter. However, that guy would always make language mistakes you'd call trivial. More than or more as? He was ridiculously smart but language wasn't his forté.
Sorry for the long post. Wish I had a potato for you.
Or try Miquon math.
Congrats, man!
Its really helpful and informative one
great stuff
I am a visual learner who has a very mathematical brain. Math was always my strong subject until advanced concepts like quadratic equations, where I couldn't picture the numbers in my head. After graduating high shcool I went on to fail a college level math course. Are there any programs like this currently available?
Just amazing 😍
Where can I find these?
Awesome.
BRAVO!!!
yes, this is true. however, the amount of visuals depends on time in the classroom and sometimes there just isn't enough time to use as many visuals as you want
Bro that’s crazy I have kind of gone my entire life I’m about to go into college I’m having to reteach myself math but I’ve been told I’m not the smartest my brain’s made for art I’m an artist because I’m a visual person I never knew that there was a way to do math visually this is great
This system should be in every school, it's the new way of learning and a more faster way. people with dyslexics shouldn't have to fall behind because we use teaching methods that are so out of date. The best way to learn is by taking part not to be singled out.
5:20 Best Quote Ever
mindresurch I have dyslexia and dyscalculia but would love to learn maths so much! A simple math Q like a fraction or % I'm stuck on I need maths to progress to higher education to enter uni. what is this programme to us need help man
what is that app called, and where can i get it ?
As an adult do you offer this for college level?
Now I can see this being very helpful for students with developmental disorders or mental disorders quite a bit, but fundamentally mathematics is communicated with language. This is essential if you even want to step one foot into the square we scientists call mathematics. Anything, what we should be doing is encouraging students to do a better job of convincing themselves in a manner (without giving them the visualizations) intuitively. This will help prepare them for doing ACTUAL mathematics later in life, for example when making proofs; the heart of mathematical thought. Intuition and creativity are very important in mathematics but a rigid, formal structure is needed to approach any discipline of mathematics properly. As a student that was quite discouraged by my teachers from mathematics, especially in secondary school, my love for mathematics grew because I wanted to teach myself "why" things were true, because I wasn't getting that from software. Programs can't teach you any set of mathematical thought, there will always exist some that will escape any computer program (this in a way stems from the kinds of programs that could exist fundamentally). Now I study Theoretical Computer Science, and Combinatorics quite a lot.
Well, I'm one of those folks that is horrible at match. I dislike it because I fiind it extremely difficult. It's not intuitive. I have always asked "why" of my teachers and they always told me to just do. Horrible experience. Now, I'm way behind.
Reginald Finley yes i had this problem as well. i always wondered what are these numbers, as in, what is this in nature. where is this lol
I don't want to be rude or anything... but what you just said is exactly what is wrong with this whole math teaching system. "fundamentally mathematics is communicated with language" are you kiddin' me? Have you ever heard that "Mathematics are an universal language"? What I want to say here is that you do not communicate english with italian, the same goes for math, you do not communicate mathematics with any other language, it is not necessary... you can explain it with words the same way you can explain english language with italian language to italian students... but it's not necessary... language can be learned without any other verbal aid other then the language you are learning it self. a 4 year old child has no idea what are you trying to tell him, he just knows you are doing noises with your mouth and pointing at random stuff around the house. You learn through context, not words... now I don't see a problem writing a complex mathematical equation using words and sentences, using variables, functions and operations, using a drawing or even using sound. The form of communication does not matter, the meaning of that function is already stored inside the mathematical meaning of that explanation.
Language is as abstract as math. It's not a realy thing, we made it all up. You can point to a chair and say "chair" out loud and kid will learn it visualy/by sound/by context and eventually vy touch and other senses. but Math cannot be tasted, touched, heared (though in some cases it can). Thats why we need to provide more context in a way that the kids can easily understand. and Writting... or any textual or vocal representation is the least intuitive way of explaining and showing anything. better way is using images, even better way would be including sounds (any waves can be made into sounds, but this is a bit more advanced), even better way is by providing animations and one of the best would be giving you full range of interactions and animations so you can try stuff yourself and see the consequences of your own actions. Maybe the best way to teach stuff would be using Laboratory exercises, maybe you could use 3 square containers filled with liquid to teach euclidian geometry in some cases... I think if people put their minds to this we could easily come up with ways that teach Math in fun and educational way instead of telling you stuff and making you memorize it.
Loved it & shared on Facebook! I totally believe in this strategy for learning. Awesome job...what is the app called, for an iPad?
+mindresearch Can it be on Android phone Sir? I have a ADD problem, and I have trouble learning math and I want to improve my IQ.
It's in the description.
till today i never knew math can be taught this easy way .
Where can I get that learning game
This is very fascinating and would have helped me in school, but I'm curious about something: If somebody went through this program all the way through algebra, can they solve word problems? I mean word problems are also found outside of the classroom and in the business world, right? Or am I wrong? I'm just asking out of curiosity.
I think there's more going on here than getting rid of words. A large component of adding visualization in math in this way is making these abstract ideas become real and concrete. For example, in the algebra example presented here, you are making some geometric connection that is very powerful.
What would be great is to give students these exercises and then have a discussion of how to interpret its meaning at the end of the class, that is, go from abstract to concrete and not the other way.
What method was used to give these students the assessments? Didn't they have to read the questions?
How can I buy it for myself? How much does it cost?
amazing
Interesting.
for x^2 + 5x + 6, I think they are factoring. The answer then would be (x + 2)(x + 3). Here is my assumption of the game. The rectangles represent the number values (here 2 and 3) which are supposed to add up to 5 but multiply to 6. If you notice, the rectangles are arranged so that the 6 balls fit neatly into the missing "chunk". What happens next with the buckets is beyond me and I don't know what they are doing but perhaps that might explain the factoring portion.
Very interesting. And you could extend it to teaching grammar. The best book I ever read on grammar was Thornton's Legislative Drafting, 2nd ed. Although it used words, Thornton explained grammar in terms that I, a visual, could understand. I intend to use it with my students. So I suppose what I am doing is starting from language and then going into maths. After all, maths is a subset of language.
This proves the power of computerized instruction. Computers CAN give individual attention to each student. My sister, the university professor, claims that individual attention is SO important, and ONLY teachers can give it. She hates computerized instruction. Totally NOT my experience in high school or college. I doubt I got an hour of individual attention in a semester. Then, I was a "B" student. Not good enough to delight the teacher with my brilliance, or slow enough to demand remedial attention. Computers can give me an hour of individual attention in one hour. In terms of lean technology, the examples clearly showed jidoka (autonomation or stopping immediately when a failure occurs). The computer can immediately correct the problem. In a classroom the teacher doesn't know the student is failing until the next homework assignment or weekly test. Batch processing versus one piece flow. The computer can easily keep statistics of problem areas that need improvement. Failback software and an integrated textbook is a major investment. Mass (production) instruction is still done like the Model T days. Mass customization is the new thing.
It may be a optional to learn math, but education is training students improving their ability in a whole. Reading is a very important part even in learning math. Otherwise, when they move to higher math they will have trouble.
Super teaching
@cotccot x^2 + 5x + 6 can be factored into (x+3)(x+2)... that is what the visual is representing. think of x^2 as a square that is x by x, and 5x as five rectangles x by 1... and 6 as six blobs... now that you have the square, the rectangles, and the blobs, can you arrange them into some sort of rectangle? yes, you can. That is what the visual represented.
Where can I get the links to the learning games he mentioned 🤔
Hi there! You are able to play sample puzzles from the new ST Math for free on our play page. You can see them here: www.stmath.com/play
x^2 + 5x + 6 = x^2 + 3x + 2x + 2*3 = (x+2)(x+3)
You're looking for a pair of numbers whose sum is 5, and product is 6. The sum is represented by the thing being bent in half; you choose where to bend it to split it into 5+0 or 4+1 or 3+2, and then you can see the product represented as the area of the rectangle produced (or the number of balls which fit in it).
(1 square of sides x and x) + (5 rectangles of sides x and 1) + (six little squares, or balls, of sides 1 and 1)
Any reason why it is not open for home schooling? Because i find my daughter's school to be so bad that they will probably never even come across it. From the UK. Please explain.
Is there much difference between the school curriculum and the BigSeed app? I would love to use this with my homeschooled kids.
+mindresearch thank you so much! I'm so glad you have responded to the request from homeschooling families! We will certainly be checking this out.
The examples of algebraic concepts were confusing and I wonder what percentage of students would understand them. The one that illustrated a quadratic equation using a pipeline and blocks was particularly bizarre and incomprehensible, and I note that it never made any link at all between the weird graphics and a traditional mathematical formulation. Assuming that a student understood the cartoon illustration, how would he or she use that insight to solve a different equation, and what format would they express the solution in if they had not learned how to read and write a traditional equation?
That is a very good point you raise! The traditional mathematics that you and I were taught has a reliance on language and memorization (especially in the US' education system *cough* *cough*). However, have you thought about how this approach would impact a developing mind?
Humans are inherently good at using our 'monkey brains' to solve solve problems using our senses. In light of that, mathematics (especially in the field of physics) allows us to grapple with abstract concepts that our brains couldn't possibly comprehend and work with visually; in cases such as quantum physics, maths is our only tangible way of understanding the universe at that scale. How can you possibly visualize the scale of subatomic interactions? Moreover, how do you visualize the mass of a star, and how much that warps the fabric of SPACE AND TIME?
On the contrary, Einstein's genius wasn't mathematical, by any means; he had a way of visualizing abstract concepts that is utterly mind blowing (I really think you should read up on his thought experiments, if you are unfamiliar with his work. He truly was a phenomenal thinker). His remarkable, visual understanding of the universe was what allowed him to define the equations that predicted, what now is the most accurate picture of our universe on a large scale. I.e. His visual abilities were what fuelled his mathematical abilities.
So wouldn't you think it to be interesting to see what happens when we teach a generation of students how to visualize their maths? I'm genuinely curious to know what you think! :)
Probably for us, the old stool method, but it could be not for the now generations with new method of approches and explanation. As for my personal opinion, it all started for the Teacher/Tutor how intersting they impart the knowledge and their method of apporches. Honestly I took a turbo nap during my maths class in collage and feel fresh for my other subjects.
It is tricky to truly develop these ideas out in detail during a 7 minute TEDx talk! At best its an opportunity to engage someone's interest! Just as an FYI, Students play approximately 4,000 puzzles to get through a year's worth of school content in ST Math and there is explicit connection between the visual manipulatives (games) and the symbolic mathematics. To get a more in depth look at some of the visual puzzles - and to actually play some visit www.stmath.com/play?hsCtaTracking=7f1520d8-f082-47f4-a5f9-88d711c907ea%7C9dd5c07f-5d95-4c41-b6dc-424dee48a330
My main thought is, the wordy word problems were too much to start with.. They made a problem where there did not need to be one. Then, going down to zero words, it's the same problem in reverse == a lack of judgment. You do what the kids need. A few words would work best.
The illustration of the quadratic equation was showing the area of a rectangle with dimensions x+2 and x+3. This area model is commonly used to help with early understanding of multiplication, especially of 2- and 3-digit numbers. By the time kids are multiplying binomials, of course, they're well acquainted with finding the area of a rectangle. I doubt this man wants to leave all written math out of the classroom. I think he's just saying the written form won't provide kids with deep understanding, and he's right about that. I always trotted right along with the math teacher, but now that I am one, I have few students who don't need a some other path to understanding.
You said explicitly it covers "all" maths, OK, and how do you deal with advanced maths ? Maths for engineers ? Maths you can't visualize ? Maths in infinite dimensions? Topology? PDE's ?
At some stage you can't do anything without a language... the pinguin animation becomes inefficient when entering university.. and even before.
If a human being can think about it, it can be visualized in some way. The Einstein example should serve in this case.
how to get this qpp for ipad
your website is not working !!!
I think it is good to have students learn things as many different ways as possible. However, if students always feel that they are not getting concepts because they are not being taught "according to their learning style", in my opinion, I don't think that is always helpful. Part of learning is developing determination and grit, and trying to understand as much as you can via different explanations, including using standard mathematical language.
The video was posted 8 years ago. How come this type of math education is not the standard today?
Please where can I find this game ? My daughter is failing in mathematics and she is now in grade 9 ?
Hello Ash. Our homeschool math program, available for parents to purchase covers math from K-8. It doesn't cover high school, but covers grades K-8. You can find more about it here: www.stmath.com/homeschool-math .
Here is a link to our helpful, parent resource page: www.stmath.com/parent-math-resources
One free, K-12 math resource we would recommend is YouCubed, from Stanford University's Graduate School of Education. Here is a link to their grade 9-12 resources: www.nea.org/tools/BrowseAllLessons.html?opt1=&opt2=9-12
We also recommend to check with your student's school, as they may have additional resources.
We're rooting for your student! 💛🐧
To the negative comments. This doesn't have to be a new idea. Words are important to learn with. But the visual might be the "ah" factor for many to understand math. Were all created just a little different. None of us will ever learn exactly the same way. So I see this as a great tool. To the comment that this is old news and the Greeks used similar ways. Explain to all of us what is really new? Every discovery is actually right there just waiting for one of us to understand. God opens the door to all our thoughts and dreams. We haven't come close to our true potential
Why haven't they done it for linear algebra?
If the "5x" translated into a line 5 units long and the "6" translated into 6 points, it would make more sense. You could even have x^3 be a cube and x^4 be a tesseract and so on!
Yeah. It's great. Too bad I have no access to it.
What is the website ?
Hello there! Thank you for watching this video. To learn more about ST Math, visit: www.stmath.com. To learn more about the non-profit who created ST Math, visit: www.mindresearch.org.
In the words of Jack black "math is a beautiful thing "
jj coolj lmao
I love it... where can I buy it for my children?
It's in the description
I teach Algebra to struggling students and this sounds like a tool to help. I thought the argument about "words" was a straw man argument however. He eventually learned to read, then gained knowledge from words that Einstein had written using words to impart his wisdom. Also the software is not free.
It's kinds like a lessen
Give me the program!!! Take my money!!!! 😊
Can i get this for calculus?
CALCULUS IS EASIER