Stop Teaching Calculating, Start Learning Maths! - Conrad Wolfram

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WISE Channel

WISE Channel

10 жыл бұрын

'Stop teaching calculating, start learning maths' - Conrad Wolfram on how re-conceptualized maths in education can step up to real-world needs.
The importance of maths to jobs, society and thinking has exploded over the last few decades. Meanwhile, maths education fails to match-up. Why has this chasm opened up? Computers are central: when they do the calculating, people work on harder questions, try more concepts, and play with a multitude of new ideas. Conrad Wolfram explained why this fundamental shift is needed in education, and described the major project he's founded to build a dramatically new, problem-centric, computer-based maths curriculum. He asked which country could adopt a computer-based approach first, and leapfrog others in STEM.
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Пікірлер: 176
@Academic68
@Academic68 4 жыл бұрын
3:54 What is mathematics - Four steps: (1) pose the right question; (2) turn the question in the real world into math formulation; (3) calculate; (4) turn the mathematical answer into real world and verify it. Student should be taught to do far more steps (1), (2) and (4).
@doodelay
@doodelay 7 жыл бұрын
One needs to understand how to apply equations and operations above all. He's right, calculating is a means to an end and should be outsourced to a computer whenever possible. We should know the basics of calculation, but only awareness of application is important. When you look at a problem you should say, "This is an independent event and therefore should be multiplied." or "this is an arithmetic sequence and then I should sum to 51." Let the computer do the rest once we've identified the formula.
@Geoyce411
@Geoyce411 8 жыл бұрын
I am a curriculum development specialist currently designing curricula for STEM. This has given me an entirely different perspective on the 'M' in STEM. Thanks!
@WISEQatar
@WISEQatar 8 жыл бұрын
+Geoyce411 Thanks!
@chippope8984
@chippope8984 7 жыл бұрын
PLEASE DO NOT FOLLOW THIS MAN IF YOU ARE DEALING WITH ELEMENTARY AND MIDDLE SCHOOL STUDENTS!!!
@zbdua
@zbdua 9 жыл бұрын
The view of this man changed dramatically the way I look at mathematics. As most people posting comments I was arrogant, I wanted everyone to learn the hard way, "the basics". But then I tried to expand my knowledge in math by using a computer based approach. It was a huge change for me, it comes natural. It's like learning to speak before learning to write. The results of his approach may surprise you as well.
@AhmedKMoustafa2
@AhmedKMoustafa2 9 жыл бұрын
That is why I respect Wolfram , such a great project done by a brilliant man .
@WISEQatar
@WISEQatar 9 жыл бұрын
ahmad najeb Thank you for your comment, we are glad you like the presentation.
@joanmorgan5318
@joanmorgan5318 3 жыл бұрын
People have different ways of learning. I think his way of looking at the big picture and understanding where we're going would have helped me tremendously. For instance, when I was taking my second chemistry course, we did experiment after experiment neutralizing acids. I don't think anyone applied this concept to life. I was an adult student with understanding of how important pH is for health. The point is, the students are doing the experiment and the calculations without any concept of why.
@eddisonlewis8099
@eddisonlewis8099 6 жыл бұрын
This lecture on the proliferation of the teaching of Mathematics & Programming is exactly true and exciting as the STEM field would continue to lift the science and technology field
@edrinawarma2126
@edrinawarma2126 9 жыл бұрын
Dear Sir I saw this video. I like it. I love maths and I want to help everyone who wants to improve his or her maths, I want to help them to make maths maths there friend because math is fun.
@jamesmelendez9971
@jamesmelendez9971 2 жыл бұрын
I find that I have been thinking on these lines for a while, especially since the rise of AI, ML, and Data Science generally. My own personal experience mirrors Mr. Wolfram's thoughts precisely! For example the mind numbing effect of multiplying two matrices, the shear tedium of inverting a matrix, calculating eigen values, the list is endless! So, you just hop onto your computer, and fire up your favorite symbolic algebra system - and all these tiresome tedious boring things are performed in the blink of an eye - flawlessly - this experience sets your mind free to try things you otherwise wouldn't - you also get a far far deeper understanding of your problem and it's solution if you are freed of this tedium - you want to solve a quick side linear programming problem - bang - it's done and the result feeds right back into your actual problem - before you forget what that is whilst losing yourself in some "side problem". You need the second derivative of this crazy function - you know it will take three hours to do (and you will probably get it wrong) - bang - the computer has you covered - now we are doing Math(s)!
@robertlight5992
@robertlight5992 8 жыл бұрын
Alot of math taught at school isnt math at all and instead just plain memory based they get kids to write down multiples over and over untill it becomes automatic. Instead of telling people what the answer is they should focuse on trying to get students to understand the general principles (whats the problem is and what methods can i use to solve it). when students finish up school they will eventually forget all this BS from there memory bank and have no clue how to work out unfamiliar problems. I believe in schools they should focuse less on getting students to pass the exams and just getting them understanding how things work and why it works out this way.
@zmartkooky244
@zmartkooky244 4 жыл бұрын
I've been saying that since I was in school myself and will probably die old saying the same thing as everybody shuns me for saying it. Mostl;y everything in school is like that: memorize, don't think.
@GeneMcKenna
@GeneMcKenna Жыл бұрын
A lot of music is just plain memory based, which part of the staff corresponds to which fingering on the instrument, playing pieces over and over again until it's muscle memory. Instead of just playing a recording of the music and talking about what it means, we waste so much time teaching kids to play music. It's terrible. They make mistakes and then it doesn't sound right. And this distracts from understanding the music. It takes a while for their ears to learn what's right and what's wrong. We could just play the music on Spotify for them and then they'd know.
@varunbhai2007
@varunbhai2007 9 жыл бұрын
In India , education system still believe to calculate manually ,and in some examination calculators are not permitted . how we can change this pattern ?Because many of childrens are more busy in doing calculations instead of understanding of the problems.
@WISEQatar
@WISEQatar 9 жыл бұрын
Varun Dutt Thank you for your comment! It is surely challenging to change patterns, but let people like Conrad Wolfram inspire you to initiate change...
@aounabbas4687
@aounabbas4687 4 жыл бұрын
Same in Pakistan
@ksmyth999
@ksmyth999 8 жыл бұрын
I think he has hit the nail on the head. It was not until sometime after I graduated with a maths degree that I became resentful as to how I had been taught in school (also in some other subjects besides maths) and to some extent at University. In fact looking back now at the quality of some of my old University text books from the sixties I am surprised I managed to get my degree at all. I hope modern students are better served. The ingrained level of ignorance in the real world was aptly demonstrated by the presenter claiming 1+1=2 as a fact. To be fair I have seen the same mistake made in a university text book, so I may be raising a fairly obscure point. Conrad Wolfram was not allowed the opportunity to explain the implications. So I think if, for example, we could reach a state of getting a 10 year old to be able to write 1+1=10 as well as 1+1=2 and be able to explain the difference, maths education will be seen to have made some progress. (For Mr. Snow's benefit this means the kids start to learn to program in primary school).
@user-ix1db6si2y
@user-ix1db6si2y Жыл бұрын
ما العمل بالنسبه لطالب يا صاح
@kalopch
@kalopch 8 жыл бұрын
EXCELLENT, IT EXPLAINS THE WHY X= WHERE IS THE HOW, WE COULD LEARN FROM THAT
@kwabenakumah7134
@kwabenakumah7134 6 жыл бұрын
A very important distinction between traditional maths and modern computational maths
@bernaridho
@bernaridho Жыл бұрын
To improve math, (1) replace greek letters with names, (2) replace unnecessary short name. Replace sin with sine, f with function. I do that, and now I learned Math better.
@MathswithMuneer
@MathswithMuneer 7 жыл бұрын
I do agree with what you said about the basics of mathematics, what to learn and why ? I am a lecturer mathematics and I found your presentation highly effective But I do have some reservation about the improvement of curriculum ( its not that eas as you said).
@edrinawarma2126
@edrinawarma2126 9 жыл бұрын
Dear Sir First of all I apologies about my poor English. I saw this video. Very good and true. I was maths teacher. I have got a lot of experience although I never studied pedagogy. I taught my student first How to be friend with Maths. How to understand the questions. How to find the key answer from the question. Because I believe and know from my experience that 50% of answer is hiding inside the question and the rest 50% will be solve with their knowledge Am I right?
@finnfunmaths9577
@finnfunmaths9577 8 жыл бұрын
Maths is problem solving! Thank you!
@andrewpappas5246
@andrewpappas5246 9 жыл бұрын
So true! We don't have time to teach everything. Consider addition. We need to be good at calculating simple problems in our heads, but we have calculators for more complex problems - what we used to do by paper and pencil. I think that we should learn how to add large numbers by hand, but we don't need to be very good at it. Understanding and applying math is much more important, so we must focus on teaching problem solving.
@lukebutler7112
@lukebutler7112 8 жыл бұрын
I agree with many of the comments made but I feel that the current curricula or this newly proposed one will not bare any significance on many students around the world, or people around the world. There appears to be this push for better mathematics and science but for what? To solve problems for the rich minorities? Like creating great engineering feats or building better spaceships, all while millions, even billions, still live in poverty, and are almost slaves to the developed countries' needs. Wolfram mentions that these scientific/mathematical advances will better our economies but what percentage of people will gain from this. I know there are a lot of more meaningful applications of maths and science, like discovering cleaner energies or better farming methods, but the biggest problem is that governments don't appear to want these innovations and change. Everything is driven by greed and financial gain. What we we really need is a radical change in our politics, so that we can become a peaceful and unified world, improving our societies and the way we think, saving a ton of money (from wars/weaponry) and then putting these resources into creating a better world.
@chippope8984
@chippope8984 7 жыл бұрын
It has already passed the test of time. People who learned computing with punch cards still do quite well in whatever the changing method of computers has been. People who went to college 30 and 40 years ago are still performing exceptionally well in environments where their current tools were only an idea at the time they attended college.
@ghosthaven4135
@ghosthaven4135 8 жыл бұрын
The production of a chromatic piece of music reduces the repose which is the rhythmic result of tension in music.
@wilmer2u
@wilmer2u 8 жыл бұрын
I agree about programming being very important with helping people learn Maths. But I don't think understanding how Maths is done "manually" is a waste of time. I'm not sure what he meant about doing Maths by hand exactly. I suppose he meant to do it manually on a piece of paper. Isn't quick mental arithmetic crucial to get at least a sanity check on figures in a calculation ? Computer or not ? To verify and prepare and budget in real world situations ?
@zacklee5787
@zacklee5787 8 жыл бұрын
+Wilmer Newland yes, you need to know why it is true that when you have 1 object in 1 hand and another object in your other hand, then you are carrying 2 objects. But that doesn't mean you have to know how many objects your carrying if you have 417852965217926345972 in one hand and 358327405324078 in the other. Computers can do that without any error. You still understand the concept, but the computer does the work that would require a long time for a human to do.
@JayPatel-et4vi
@JayPatel-et4vi 6 жыл бұрын
Very true of Conrad Wolfram Some people may say that by letting computers do our calculation we are getting dependent on computers - True But why don't you program computer to do that particular calculation by doing so you will improve your concept as well as your logic Conrad Wolfram told that programming should be a part of primary mathematics education Impressed by his suggestion And BTW Ai is improving day by day so we don't need to worry about computers rather we should focus on programming
@raymeester7883
@raymeester7883 6 жыл бұрын
The point you should understand is that more jobs will require maths and other analytical subjects and people without these skills will have less and less opportunities.
@ericpham4644
@ericpham4644 3 жыл бұрын
The reformation is more needed now because of the amount of information and knowledge available is too much for the old technique of communicating to children and their times available in school
@FreeMind320
@FreeMind320 9 жыл бұрын
Well, there is some truth and some falsehood too in all that. Problem solving applied to the real world through computers is great, and I love working with Mathematica, Matlab or alike. But to do that I had to learn first the mathematical principles that govern the calculation. It is not like driving a car where one can forget about how an engine works. You won't be able to program your pc to calculate the orbit of a planet if you do not have already learned the formulas of universal gravitation and developed a feeling how an inverse square function moves along an axis, etc. And I suspect that many in the audience did not understand what Wolfram's smartphone was doing at all if they do not already have a clear concept of what the factorization of prime numbers means. Nothing against computer based math and programming, but the point is that that alone does not teach you math. You can't even do it without having learned first the more abstract and algebraic based training, and which remain for this reason inescapable.
@Bernhardrieder
@Bernhardrieder 9 жыл бұрын
You are right. I guess, what Wolfram meant is: Learn the basics (problem solvings and how math works) first. U can also calculate by hand, etc. But after you understand some principles, it is useless to make calculations by hand over and over again. For indtance: once you know how a division works, you could make a division by hand or by computer. 27864566686543,64449776 divided by 187655433,45556975443322 so... it will take a few seconds for the computer, but it will take you hours by hand. The chance of mistakes is high as well... so why bother with it ? So this is how I see it, my chocolate ice cream if you will !
@Geoyce411
@Geoyce411 8 жыл бұрын
+ALIEN BERNHARD Right. Like learning the alphabet and phonetic sounds in order to read. However, new theories in learning indicate that 21st century learns master these 'basics' in synch with technology. Actually, they're often learned with technology, especially 3D technology that allows children to manipulate objects.
@Maya_s1999
@Maya_s1999 8 жыл бұрын
+Satyavan I agree 100% with you. I think the whole speech was an advert for the Wolfram computational engine- which is a great tool - but not that great for real world problems! Take linear algebra - it can only do operations with very small matrices - I think it only allows to use something like 250 characters - so if you have fractions as matrix elements you end up not being able to compute even very small problems. So, there.
@smacl6301
@smacl6301 6 жыл бұрын
Satyavan, from my understanding of what he is saying, it is more about the order in which you learn. If you learn to program in any language that lets you declare and manipulate variables, you've just learnt basic algebra in a meaningful context. If your programming lets you plot points on the screen, you're learning and using Cartesian geometry and are well on the way to building mathematical models. I would say you could teach children how to program at this level in a far shorter space of time than you could teach them algebra manually with pen and paper. Back in the stone ages when I was learning senior cycle maths, we had log books and slide rules. The argument I'm seeing put up against Wolfram here is the same argument that was put forward against the calculator in the 80s and is essentially very weak. The notion of learning maths by rote in a bottom up style is in my opinion a waste of time and accomplishes very little. Learning to apply maths in a dynamic and meaningful fashion and gives you reason and motivation to learn the first principals.
@bushtherapy7655
@bushtherapy7655 Жыл бұрын
I love the analogy...do you have to learn how to build or service an engine to drive a car
@baldingsan457
@baldingsan457 4 жыл бұрын
People should be taught proofs!
@al9709
@al9709 3 жыл бұрын
A very helpful talk thank you - Can you recommend some maths software we should start with ?
@preenan5123
@preenan5123 3 жыл бұрын
Mathematica is invented by the speaker
@madshorn5826
@madshorn5826 3 жыл бұрын
@@preenan5123 No, his brother :-) For a more beginner friendly program I'd say GeoGebra. They have a great community.
@wackzingo
@wackzingo 9 жыл бұрын
I agree with is theory as far as K-12 is concerned. I think we could be much better off using technology to teach kids how to calculate things like mortgage payments, fuel efficiency, and other real world problems. He's not talking about simply looking up a mortgage calculator on Google and show kids how to type in numbers. I believe he was suggesting we still teach kids the theory such as how interest is calculated but we use the computer to do the actual computation once we understand the problem. As for higher education I believe it's still necessary and important for those in the STEM subjects. I still need a lot of math to finish my degree but I find a lot of the reasoning and critical thinking skills are important in many different areas of my life.
@rollandchristopherpadjoe2964
@rollandchristopherpadjoe2964 4 жыл бұрын
Thank u
@mountagadiallo6433
@mountagadiallo6433 4 жыл бұрын
I like the video... What I liked less was the fact of not showing us on the projector what the presenter is doing on his computer.
@brendawilliams8062
@brendawilliams8062 3 жыл бұрын
My u tube illustrious professor Wildberger is right. Put it to primarily teaching the basics of mathematics to the youth and give them opportunity as problem solvers.
@emilwrisberg
@emilwrisberg 7 жыл бұрын
The best way to know that you have understood a mathematical argument correctly is by applying it to a concrete example, which preferably should be simple to emphasize the concept rather than the computations. Stating that solving a quadratic equation is complex is nonsense. Most highschool students learn to apply a formula, which states that the solution to a*x^2 + b*x + c = 0 is: x = ( - b + sqrt(b^2-4*a*c) ) / 2*a and x = ( - b - sqrt(b^2-4*a*c) ) / 2*a However they don't learn how this solution arises (the problem) and never will, if they can just plug the equation into a computer program. Students should know that learning new mathematics is achieved by struggling and coming up with ideas through a creative process. Note that there were incredibly smart mathematicians way before Alan Turing (a famous mathematician) invented the computer. And they did mathematics for its intrinsic value, rather than for the sake of earning money. If you are curious how the solution of the quadratic equation can arise, I would like to give you some hints. I encourage you to stop and think/struggle for yourself along the way. We want to put the equation on a form, where we can complete the square. a*x^2 + b*x + c = 0 1. Multiply the equation by 2^2*a = 4*a (trickiest part was to get the idea) 2. Complete the square: (2*a*x + something )^2 - Something = 0 3. Add "Something" to both sides of the equation: (2*a*x + something )^2 = Something 4. Take squareroot on both sides, remember that sqrt(c^2) = +c and sqrt(c^2) = -c (there are two solutions) 5. Isolate x to get the final solution Solution to first two steps: (SPOILER ALERT) 1. 4*a^2*x^2 + 4*a*b*x + 4*a*c = 0 2. Hint: (2*a*x+b)^2 = 4*a^2*x^2 + 4*a*b*x + b^2 3. - 5. Good luck
@euyin77
@euyin77 Жыл бұрын
Math teachers teach procedures because it's easy. You don't need to know math at all to teach them. You just need to write the calculations on paper, step in front of the blackboard, write on the blackboard what's on the paper and that's all. But if you want to teach concepts, that's a different story. You need to do research, and you have to know and understand the concepts very profoundly. It takes a lot of work. You must give your students a lot of liberty in the problem-solving approach. At the same time, you have to listen to them. And if they do something wrong, is your obligation to explain why it's wrong using just basic mathematical concepts. But the most difficult and important part is to stop being an authority figure. Math is the only boss.
@jackeline-diazluna
@jackeline-diazluna 2 жыл бұрын
Huge problem... how can his be changed from early learning?
@Bernhardrieder
@Bernhardrieder 9 жыл бұрын
#4: to have the Ueber-Goal to leave the prison earth and explore the space. To gain more knowledge of our true existence and to live a life that is rich on knowledge. Unfortunately... I miss a global group, to coordinate and manage such project.
@ericpham4644
@ericpham4644 3 жыл бұрын
Efficiency of communication and exchanging data among all things is all the ultimate goal of the universe and your example of the child imagination using piece of paper representing Computer is total possibility of the best efficient computing system because the operation is the same only difference in sensitivity
@edrinawarma2126
@edrinawarma2126 9 жыл бұрын
How about answers sheets at the end of each book? They are also make students lazy and they stop thinking because they get 50% of solution for free?
@ronxanocukaj8617
@ronxanocukaj8617 7 жыл бұрын
great place to live in olymp mountain..👍
@92875005
@92875005 8 жыл бұрын
very nice lect but one thing I wana to add the language to get that to student should be change all the time realy they asking why we should do by hands not by calcu they don't get the idea about that by their language
@Jejdjejbfjf
@Jejdjejbfjf 10 жыл бұрын
I actually think students should still learn how to complete the square and solve for simultaneous equations. But we should put out more "story-like" problems instead of just an equation on the paper which does not seem to have any relevance to the real world. Especially when you get higher up you learn logarithms, differentiation and you don't know what for.
@shadoxdon2369
@shadoxdon2369 10 жыл бұрын
Creative people are able to link them to real-life problems without being given a scenario.
@MillionaireDubMind
@MillionaireDubMind 9 жыл бұрын
Shadox Don Yes but that doesn't necessarily mean they know where it's (for lack of a better word) meant to be applied.
@iart2838
@iart2838 3 жыл бұрын
As with all issues in life....everything is a hybrid of old and new.
@maxplayz9885
@maxplayz9885 6 жыл бұрын
How can I find help to learn my math being dyslexic?
@thethethesss
@thethethesss 4 жыл бұрын
you can find me , math dyslexic is called dyscalculia . a lot of ppl have this just they dont know
@ewasimon7159
@ewasimon7159 9 жыл бұрын
I agree with Wolfram's perspective apropos Mathematics education in today's society, however, it seems far too utilitarian a view to me. The elegance, the logic in the aesthetics of hand-written notation possesses truth and supreme, austere, towering beauty. It is an obscure abyss, yet sublimely pure and gives the sensation of being more than Man; absolute delight and exaltation. In order to see rise a new generation of Mathematicians, we must allow them be empowered and mesmerized by 'step 3' or the Mathematical procedure that leads them from the inquiry to the answer, from what starts as piqued curiosity to an infatuation, ignited from an admiration for the intellectual value of the Mathematical procedure!
@martpast1
@martpast1 8 жыл бұрын
what is good here for me----he speaks very clear English , better that many modern actors
@titanarmy4116
@titanarmy4116 7 жыл бұрын
because he is english
@martpast1
@martpast1 7 жыл бұрын
Titan Army many English on streets speak unclear
@tobytalks2721
@tobytalks2721 7 жыл бұрын
+martmart1 Exactly on streets. Southern English people, like myself, generally speak like him.
@martpast1
@martpast1 7 жыл бұрын
Toby Talks i live not far from London. some people speak very clear. some do so unclear that i cant repeat what they say. and they say not a poem of Shakespeare but the simplest things. and they are not youngsters with a modern slang but quite old.and they are not Irish who often can be unclear because of their accent.
@titanarmy4116
@titanarmy4116 7 жыл бұрын
martmart1 some people are smart, well educated and cultured. Others are dumb, ignorant and inbred. Guess which one you are.
@AlexAlpha23
@AlexAlpha23 10 жыл бұрын
Need to learn how to calculate and conceptual understand basic operations. Best practice for math is pen and paper not iphone. Computer use for advanced calculation for make easy life for people who know how to calculate and for them need rapid this process.
@pikapuff123
@pikapuff123 9 жыл бұрын
How are future generations supposed to engineer computers to find answers that they only know how to arrive at via computer? Mathematics is a science but it is also an art. The poetry of mathematics lies in the complete process. In finding a proof. In making connections. If we forfeit the most crucial part of the process to a machine, then we are shrouding mathematics in a sense of mystery that makes it even more unapproachable to students than it already is.
@MillionaireDubMind
@MillionaireDubMind 9 жыл бұрын
I think the argument for mathematics being divided into context according to its several uses was for the benefit to understand computational math being used for the progression in mechanics of computers - and then mental math for the benefit of everyday life. Like he says, think of the subject (as vast as it is) being taught in a way that would put the many branches of real life application into focus for students.
@karlmorrison2713
@karlmorrison2713 9 жыл бұрын
Indeed as Thomas X said, I believe you misinterpreted the his speech.
@46monkeyes
@46monkeyes 9 жыл бұрын
Michael Lavigne Michael, I agree 100% with your comment. Nicely stated.
@MillionaireDubMind
@MillionaireDubMind 9 жыл бұрын
M Stephens I offer you reiteration of my first comment as token of my willingness to de spell any contempt in the idea of misplacing the familiar forms of mathematics.
@46monkeyes
@46monkeyes 9 жыл бұрын
Thomas ™ Hi Thomas. I did not read ANY contempt with misplacing the familiar forms of math in your comment; I actually agree with what you said. One thing that I rarely hear is something that is extremely important, especially in math & the sciences -- Students NEED an excellent teacher. Someone who breaks things down and makes them fun and understandable. Someone who takes the mystique away. For example, I just got done a lecture to a class of nursing students. The course is "Basic Math and Dosage Calculations" and the first three lectures are designed to help break that wall many students have against math. I put a ratio on the board of 1:2 and told them they could put a horizontal line between the two "periods" in the ratio symbol *:* and let them see it now as "1 "divided by" 2. This means 1:2 is equal to 1 divided by 2 which equals 0.5.....Most were amazed at that! Just simple things to help increase understanding and to get them to THINK!
@babamunna1080
@babamunna1080 3 жыл бұрын
Chemistry is the matter of science,physics deals with bodies in motion, between earth and sky is chemistry and physics,Maths calculate the process ,physics moves matter,chemistry is the formula,now we have billions of objects in use,by making it,keeping volume ,temperature and pressure in command.
@berserker8884
@berserker8884 6 жыл бұрын
So many people missing the point. The point isn't that what we are learning is not important at all but rather that it is not important FOR EVERY SINGLE PERSON to learn it. I think all the basic computational algorithms MUST be learned HOWEVER highschool math is 90% calculate this and calculate that and all you are doing is turning numbers around. Every "difficult" problem is just 10 easy problems glued together so you have to use more formulas and do more drawing and know more definitions and get more numbers in the end. Math in school should mainly be solving DIFFICULT problems! Better to give 2 difficult problems and 1 VERY difficult optional problem for homework(modeling equations or proving theorems), rather than 20 similar fairly easy equations to solve. Each friday 2 hours for 2 VERY difficult problems solved by class working together(proofs of theorems, great way to introduce to a new subject) or sth, no new theory by just writing down rules, no easy problems, no teacher help unless someone is stuck on sth for more than 2 hours. That way students would learn patience, get a feel for real world problems and would understand FAAAAARRRRR more than they do now. Feynman said himself he didn't know half of classical physics or some modern physics but someone just told him the concepts and he knew his way around the subject no problem, thus he basically understood the core of physics and problem solving. We should also get rid of useless subjects like sociology, third language, ...
@ericpham4644
@ericpham4644 3 жыл бұрын
If x^3-x-10 is the answer for the question because if using ln to solve the equation after factoring out one level down. Because (x^2-1) =1/x taking natural logarithm of both sides then turn out the no solution where lnx =ln1/2x which is contradiction and so mathematic help us seeing a solution is reasonable or not before attempting to contradicting ourselves. Most of thing we do today is not needed in the first place. Habit forming society is destroying humanity for example we try to solve the millionaires needs before our own family needs by buying gasoline car for example or going to college is another example too when some 8 yearold should had PhD level of seeing things already but not certified by college board until 15 years later
@MDtanvir-pj4tf
@MDtanvir-pj4tf 9 жыл бұрын
mathematics is a addiction. you have to love it. whatever your education system is !!
@alanneville5249
@alanneville5249 3 жыл бұрын
I dont think substituting numbers into a formula and finding an answer to it makes you get addicted
@Juan-yj2nn
@Juan-yj2nn 3 жыл бұрын
@@alanneville5249 True. That is precisely Paul Lockhart's complaint.
@keke6907
@keke6907 8 жыл бұрын
great saud
@46monkeyes
@46monkeyes 9 жыл бұрын
I respectfully disagree in part. As an educator, I believe we need to emphasize the importance of using our brain for calculating as well as reasoning after calculating. I believe we have become TOO dependent on computers with respect to educating our children. They need to learn how and THEN why. BOTH are of just about of equal importance.
@joshuapittman544
@joshuapittman544 6 жыл бұрын
M Stephens if both are of equal importance, state your logic in stating why any one thing should be first to learn?
@DBDxULTIMATE
@DBDxULTIMATE 6 жыл бұрын
In anything you are learning "why" is always more important than "how". I wish my math teachers had understood that.
@Carltoncurtis1
@Carltoncurtis1 6 жыл бұрын
Joshua Pittman How many people do you know that have ‘Mathphobia’? I used to dodge math in college like a drug addict dodges random drug tests, but that’s not just me... TONS of people are like that. There are a very, very large portion of would-be scientists over in the humanities departments that don’t pick that STEM Major solely because they are _afraid_ of the math involved. I never understood where that fear came from. I just accepted that some people are “math people” and some aren’t. *The fact is that most people graduate high school without a concrete, ironclad grasp of the 4 basic operations.* Brute force mental arithmetic is same as a basic language literacy. It is absolutely essential for children to be able to do long division and multiply multi digit numbers mentally as it is for them to speak in their native tongues. Would you consider someone who had to open an English translation dictionary in very conversation with you, a native English speaker I assume, a “speaker” of English? Here, I agree with OP. However, I do agree with Wolframs point. While I am a big advocate of mental math, I’m not gonna attempt even a basic task like build a wooden table without a calculator handy. If I forget to carry a number in my head, I just wasted money and wood. The thing is though... I would never even have the nerve to attempt the project at all without the CONFIDENCE that comes with just being good with numbers in my head. To repeat, I do agree with Wolfram point, but he’s talking to people who are career scientists. They can’t afford to screw up their very important, very expensive problems by trying to be 2nd rate calculators when they can write programs to do calculations for them. But for us laymen... we could pass from cradle to grave not even imagining we could fill their very ordinary shoes without being mentally fluent at the 4 fundamental arithmetic operations first.
@tini96
@tini96 8 жыл бұрын
But why does he make a lot of his features exclusive so you have to buy them. If you care about math education, you should make it free. I get it, thats not how things work and you have to make money. But Sal Khan from Khan academy is the epitome of altruism in education.
@BrunoModigliani
@BrunoModigliani 8 жыл бұрын
+Nerian not for free, definetely. But altruism deals with care, atention, love. Being really human. It does not have to mean work for free, but anyone who truly cares about education, has a strong foundation of their character in the essences of human being, which are quite far from making money
@tini96
@tini96 7 жыл бұрын
***** Wow that is awesome that youre working on this project! I can see your passion and idea from your comment. What are you working on? Please let me know when you have finished so I can see it.
@georgelilley6185
@georgelilley6185 10 жыл бұрын
We all agree with you Conrad, but you've missed a major point, at least, here in Australia. That is that, senior years of high school are not about the things you described, rather, they are about ranking students so that the highest ranked students get a University position. How do you rank students? Well the the easiest and cheapest way is to give standardized exams which test calculating. It is really difficult to test problem solving and creativity. Until we solve this Schools will carry on like they are. By the way, Ancient Greek here in Victoria gives you a bonus to your ranking. So if you want to be a Doctor or an Aeronautical Engineer, you would have a greater chance if you completed Ancient Greek in Year 12.
@damiantorn5799
@damiantorn5799 10 жыл бұрын
What if reality is added to the discussion? Backtrack the OUTCOMES produced by people in the real world. WHO did what and how? should be asked and connected to initial rankings. I personally KNOW I was under ranked, told to be a construction laborer, but pursued my own path in acctg/finance, rooted in computer programming/problem solving/critical thinking, and am doing quite well despite NOT being a master of hand-based computations. AND I know countless number of people in finance-based jobs who calculate great but are lousy with turning data into meaningful, useful knowledge. Their spreadsheets are a mess of spaghetti logic, page & cell & range references (plugs everywhere to stop the leaks rooted in bad design, ie bad thinking), and much more. They are lightning fast on an electric desktop calculator, but blunder horribly in the creation of analyses, reports, presentations, etc. So eager are they to present their calculations that they bore the hell out of the poor minds they display their "work" to.
@lealeas5698
@lealeas5698 4 ай бұрын
Perhaps if he would write actual lesson plans and curriculum ideas... I'm sure he could improve the curriculum in some ways, but I still think the concept of calculations helps build conceptual understanding, improves brain power, and is still experiencing and understanding maths in the real world. This takes years to build this level of mathematical understanding in kids in order to be able to understand what real world questions to ask. Maybe its fear of change, but I fear it his methods may benefit the naturally logical kids, but end up dumbing down the overall population under the guise of pretending to be intelligent.
@hype-ny2tn
@hype-ny2tn 9 жыл бұрын
No, Singapore is just some hellhole you get trapped in, being put through the same processes over and over again. There is no sense to it, as teachers constantly look at maths being a sequence of steps and equations that the students must memorize. There is almost no effort, if any at all being put into enhancing the common knowledge of the importance in which math's role has been placed in our society and how it has affected our everyday applications. Neither have the teachers and MOE ever thought of changing the aspect of how we as the new generation view maths; not just a procedure of constant calculations but the beauty of knowing and finding problems in our current world and resolving them. To me, that's what maths is about.
@FunPlaynLearn
@FunPlaynLearn 9 жыл бұрын
Ryan plz I agree with you that Maths lessons WAS boring because it was a subject with endless procedures and calculations. But that was in 90s when I was a student. There has been a shift (slow but gradually) in the Singapore Maths Curriculum from rote learning to problem solving. The new curriculum focuses on process of problem solving, rather than the results. Students are exposed to activities, with aim to relate learning to real life application. Teachers are happier preparing interesting lessons too! It seems great but problem comes when assessing the child. Due to the education structure (and maybe its purpose in serving the gov agenda?), many of the 'ideal' lessons are being sacrificed to preparing students to be 'exam smart' (Like doing endless worksheets and tests). Unless the mindset of students/parents change from grades achieving to real learning, students in Singapore schools will continue to experience some of those boring Maths moments which I had before.
@edrinawarma2126
@edrinawarma2126 9 жыл бұрын
If I know what I am doing I can help others. People change professions and an engineer become a teacher, it is not bad but how we know he can teach What is teaching? Is the know exactly what is it mean? Title is not enough. I am not talking about real one.
@thethethesss
@thethethesss 4 жыл бұрын
I know how to teach this subject ...... do not learn the traditional way.... it's wrong..... not just wrong but damaging....... it stops you from thinking and in long run , people stays the same using memory and then running the wrong math system . How do you learn math if you are thinking in the wrong math system.... btw I taught students for more than 10 yrs...... they can grow, the ones who follow the traditions fail . I teach in detailed and many ways which all thinking bond together . So we will become better and smarter . I will tell the world , hope you guys believe in me . I will try .
@ericpham4644
@ericpham4644 3 жыл бұрын
Mathematic is best way to measure anger management technology in societies. The billionairs measure anger by the accounting of interest rate and the doctor measure the rate of diagnostics instrumentation of biological engineering and patients base mathematic in level of pain and God see mathematics in absolute loveliness of the way a parent seeing his children's way of learning how to walk and talk
@JULLIANOSANTOSSILVA
@JULLIANOSANTOSSILVA 6 жыл бұрын
Like a doctor deeply needs to know the human body , same way a mathematician deeply needs to know about calculus
@romeonazaire7971
@romeonazaire7971 5 жыл бұрын
not everyone dreams of becoming a mathematician
@floflo4356
@floflo4356 9 жыл бұрын
I strongly disagree, knowing the rules of calculation are so more important than the calculation itself, when you start reasoning there are no numbers to compute, just variables, rules of calculation and theorems, your computer is useless in here. And the best way to learn how some specific calculation rules work is by doing the calculation step by step by hand over and over untill it become something natural.
@omkarchavan5940
@omkarchavan5940 7 жыл бұрын
Florent Dravet, Possibly there's difference between 'Knowing' and using it 'over and over again' .
@romeonazaire7971
@romeonazaire7971 5 жыл бұрын
What wolfram was arguing is that computers and programming will take away some emphasis on procedural understanding, which is clearly practiced on schools, and give more to conceptual understanding. Practicing hand calculations surely trains students to get the feel of math but it takes away time and energy that should be spent on relating math concepts into real-life problems which is the first step in solving real problems.
@jerryb2735
@jerryb2735 7 жыл бұрын
Sounds like sale pitch for Wolfram Alpha.
@Juan-yj2nn
@Juan-yj2nn 3 жыл бұрын
The founder of Wolfram Alpha is Stephen Wolfram.
@kparag01
@kparag01 6 жыл бұрын
Wolfram alpha is not free yet.
@Salamaleikum80
@Salamaleikum80 7 жыл бұрын
Enough math for today. Gonna watch another video tomorrow.
@bucky222edwin
@bucky222edwin 6 жыл бұрын
What bothers me most is the lack of realizing where this approach is taking humankind. I ask you one question. "What are you going to do when the grid falls?" No electrical machines of any kind will function. That includes all the computerized farm machinery and the manufacturing of the computer you want to make us so dependent on. I love computers, but technology is the death nail for humankind. Whether learned by by rote or "understanding", you have the basics that will let you expand a very simple concept - 0 or 1, on or off, black or white - into this wonderful thing we call a computer. But, it's pretty sad when you have to pull out a calculator to fine out what 8 hours a day for 5 men to do a job will be in total man hours. This dependence on machines is making humankind nothing but a parasite on this beautiful planet. Look at the trash in the rivers, oceans, and even Mount Everest. If our goal is to supplant humankind with machines, I say we have a pretty good start. Maybe you can build a computer or a car or a spaceship, but can you hunt, fish, and grow your own tomatoes? Yes, let's teach how to make it easier to make the almighty dollar. After all, "He who dies with the most toys, wins." But I say, you forgot, "Screw the rest of you and the planet you live on. I got mine, and I don't care what the real cost to you, was." Is that really the goal for humankind?
@m123tank
@m123tank 8 жыл бұрын
I hate to burst the bubble everyone but math still needs to be taught as math if you want a problem solving then have more problem solving class dont touch really math class problem solving is not math they are to different things yes can they be related just like English and Science but you dont wanna clog them up with problem solving o and the hole thing about computers doing all the math well if i didnt learn to do math by hand people could have and probably lost their lives. we are putting so much reliance on computers and that will harm mankind more then help them if you dont know how to do things right on your own then you are no help in any kind of industrial plant or work shop or handyman job. So you wish to hinder the industrial jobs then labor jobs.
@AZTECMAN
@AZTECMAN 2 жыл бұрын
So Conrad W. argues for less emphasis on calculating. Okay, fair enough. But are schools (locally in the US and globally) possessed of the funding to make a computer based curriculum a reality? Access to technology is something we take for granted in this line of argument. Practicing hand calculating helps cultivate a degree of meticulousness. Also, there is the issue of students taking issue with arbitrary bits, i.e. learning times tables or whatever because they were raised in a household where that is normative to reject.
@migueldecarvalho8012
@migueldecarvalho8012 9 жыл бұрын
Nonsense! Some people like Maths and should be in a better position to learn it well at school - and later, if that's when they choose to do it. Most people don't like it and don't want to do it. Calculations are the only thing they tolerate because problems are... well, problematic. They are hard. Most students aren't attracted to challenge. They want the comfort and reassurance of something they can do well by following steps 1, 2 and 3. They hate to be confronted with their own limitations - we are not as smart as we like to think we are. There are advantages to learning Maths but there are also advantages to learning Latin and learning to play ocarina. If you want more Mathematicians and better learning of Maths, than teach well and demand a good attitude to/from those who chose to learn it. Stop shoving Maths down people's throats! If someone needs to learn it, let them seek it.
@berserker8884
@berserker8884 6 жыл бұрын
Nonsense! Nobody likes challenge because they have NO idea what challenge is. I know this from first hand experience with my ex-schoolmates(university now), where they would give up on a problem because it is BORINGGGGG or because they didn't understand everything in 5 minutes! If everyone developed a habit of deep work in primary school, everyone would appreciate the difficult problems FAR MORE than any computational stuff. It is important for everyone to know how to calculate, however examples in class should be proving theorems and showing interesting intuitions and applications with the real world, while homework could be problems like from channel Mind Your Decisions(Some are VERY difficult and super interesting). If you prove theorems and assertions, develop models for a situation(be it in geometry, analysis, linear algebra, whatever) or be presented with a real world problem and would have to find a way to solve it(physics ofc.), then you UNDERSTAND all those things and you know how to calculate easily(if I know what an integral REALLY is I can derive other integrals and I can learn methods of solving them WAY FASTER). If you only solve calculations without deep insight problems, you will be shown sth where your tools are useless and you will stop dead, while the other guy would spend hitting his head on the wall and would actually find a way, maybe invent some new math on the way(Newton for example). In the end though, I think that the current system does a great job filtering the pupils to willingly make the wast majority go into easier production fields and only some into science or humanities, which makes sure that the standards of a normal person are high and that the country GDP is high as well. Still I hate to see people being SUPER ignorant about math and physics.
@ssjn2831
@ssjn2831 6 жыл бұрын
Only a mathematician can understand what he's saying
@matthewleitch1
@matthewleitch1 3 жыл бұрын
The interviewer, Snow, has completely failed to grasp this simple talk.
@richdemanowski2575
@richdemanowski2575 6 жыл бұрын
I agree wholeheartedly with the idea that mathematics is among the greatest tools for teaching logic, critical thought, and problem solving. Which is why government schools hate mathematics. Governments fear citizentries that can think critically and problem solve, because such citizens quickly come to the conclusion that their govermnent is either the direct cause of, or actively blocking the solutions to, the vast majority of the major problems in the world. Mathematics is about the search for truth. Politics is not concerned with truth. Politics is about the exercise of dominion over others, and politicians gain their greatest benefit by obfuscating the truth. Politics is the antithesis of mathematics.
@chippope8984
@chippope8984 7 жыл бұрын
God bless the man in the light colored jacket. I find it interesting that this Mr. Wolfram keeps saying he "thinks", he "believes". Nothing concrete. He did not learn the way he is professing-And yet look at what he does know. Please do not dump this crap on elementary and secondary students. Let him show me 1000 out of at least 1200 students who approached math his way early on and lets wait them out to see how successful in MATH they become first, please!!
@UnathiGX
@UnathiGX 4 жыл бұрын
Camera Movement sucks!!
@yamaha4870
@yamaha4870 10 жыл бұрын
technology is expensive, our country try to develop system first not the technology for education. than I see, student see school like and stone age. put too much subject also can give headache to students.
@iart2838
@iart2838 3 жыл бұрын
what if there is a collapse of power worldwide??? The knowlege will be gone. Also, why paint or sculpt? One can do it digitally or by 3-D printer.
@preenan5123
@preenan5123 3 жыл бұрын
what he means is not everybody needs to learn sculpting in school when in work they will have no choice but to use designing softwares
@patsplats
@patsplats Жыл бұрын
Bruh why do British people say "maths"? We only got one math in America.
@Antox68
@Antox68 8 жыл бұрын
He's 100% right
@GauntletKI
@GauntletKI 10 жыл бұрын
Wish he would stop saying Maths and just say Mathematics, it sounds so much better.
@damiantorn5799
@damiantorn5799 10 жыл бұрын
Are you being obtuse on purpose?
@Luke-kp1px
@Luke-kp1px 9 жыл бұрын
Damian Torn hes being acute minded
@propagandaBreaker
@propagandaBreaker 12 күн бұрын
I am really really sorry to say that because it will sounds like disrespects but I am astonished at the degree of incomprehension a so called "genius" can have of the problem. I have just one humble response: "Go teach first grades math and you will see what is the nature of understanding and the slow building of math idea" you will see that you are just throwing stupidities at a staggered public.
@joeleon3866
@joeleon3866 8 жыл бұрын
So, lets forget the basics of how to add, subtract, multiply, divide... let the computer do it for us... what happens when the battery runs out? the power goes out? how do you problem solve without the basics? As an engineer, I have used computers for simulation, statistical analysis, etc... but, technology has its place. Technology cannot take away our knowledge of calculation! This reminds me of a commercial where the hiring manager is asking the candidate. Oh, I see that you have used your pc to play numerous games and you have accumulated many wins... but, do you know how to program the games? Again, basics... yes they are needed and once learned, we can move on to a computer to help us solve iterative calculations. But without knowing the basics, how can one know how to use the computer to problem solve? I guess his talk is Greek to me...
@Geoyce411
@Geoyce411 8 жыл бұрын
Your story makes a great point. One of the first thing children should learn is coding. If traditional education works why have so many of our children failed to learn? When I taught in public schools I endeavored to engage students. Give children a problem to solve and they'll learn math. Of course they need to learn numbers, just like they need to learn the alphabet. Once they've learned the only real basic, the rest is about discovery and problem-solving. For example, I used a problem from a book titled I Hate Mathematics to introduce algebra to my gifted elementary students. How many permutations of double-dipped cones can you get from 31 flavors? Although I wanted them to approach it algebraically, I allowed my students to "use their brains" to discover a way to calculate the results - it was 1979 and we had no computers. Now, I would encourage them use their laptops, tablets, or smart phones to solve the problem and figure out how. They were smart, so they collaborated and came up with an algebraic equation and each got the double-dipped cone from Baskins&Robbins I promised to the winner.
@mikeobie
@mikeobie 8 жыл бұрын
+Joe Leon This is a fundamental misunderstanding of mathematics. Once you know the theory computation is trivial. Ask anyone who has taken Real Analysis to do some integration, trivial. Why do most people know how to get the answers to any number multiplied by ten or 5? Once you understand the underlying mechanics the rest comes easy.
@Dua99999Ve
@Dua99999Ve 8 жыл бұрын
+Joe Leon Your perception on this is outdated. You do learn the basics when you learn computer programming, you can't program algebraic calculations without knowing algebra. It's when you use the computer to PUNCH IN NUMBERS ONLY. That's when you don't learn math. The computer is only "doing it for if you" when you don't UNDERSTAND HOW THE COMPUTER IS DOING IT FOR YOU. When you program the computer to HANDLE input, then you learn programming and math at THE SAME TIME.
@steelbeard151
@steelbeard151 8 жыл бұрын
+Brandon You have misunderstood Joe Leon's point. You are arguing the same thing. When you don't understand what the computer is doing, then you have no business programming it. So we cannot abandon calculation techniques in favor of programming or "new math" or whatever else. We must have both.
@Dua99999Ve
@Dua99999Ve 8 жыл бұрын
Steel Beard I disagree. I think if you learn to program derivative calculations, you will simultaneously learn derivatives. If you ONLY do derivatives on a calculator, where the program was placed in the calculator without you programming it, THEN you don't learn, and then the computer is just giving you the answer. Programming means YOU TEACH THE COMPUTER. And usually when you teach a subject you learn it better yourself.
@AlchemistOfNirnroot
@AlchemistOfNirnroot 7 жыл бұрын
Has he set a curriculum for all school years (excluding uni) which outlines how you would teach the 'other 3 parts of maths'? If not, then there's not much point complaining about something you deem a problem if you offer no solution.
@shivagamithirunavakkarasu3424
@shivagamithirunavakkarasu3424 6 жыл бұрын
Good night daughter
@davidbrand1668
@davidbrand1668 9 жыл бұрын
This man maybe a genius, but has no idea how life is so much harder without a solid grounding in maths. Believe me, I know. I'm now back learning maths via Khanacademy.com Sadly, you don't always have access to a calculator. You can be out in the bush, 500kms away from a computer, no phone reception and you have to do some semi-advance maths.... Guess what, you better know how to work it out. The issue isn't that maths is hard! It is that the way we learn and learn maths is the issue. How many teachers are so boring that you struggle to stay awake or how what you're learning is hard to relate too ? Not all things in life are equal, and not all teaching methods or teachers are equal. Enjoy learning and asking questions, enjoy seeking the knowledge to answer those questions. Be it history, science, maths, health,a 2nd language. Your brain is some second rate computer, it can relate what was previously thought as unrelated and make break through's in our understanding. I'm sorry Conrad, I respect you as a genius in your field. But not learning high school maths and above is just wrong. Lets look at what's wrong with our teaching methods so that kids learn advanced maths at a young age.
@chippope8984
@chippope8984 7 жыл бұрын
How are you supposed to do mental arithmetic if you do not know calculations well? This is the first step to destroying students. Headcases who math comes easy to projecting their brain into each and every student. In the real world, elementary students should not touch a calculator. Otherwise the results are proving that they cannot do MENTAL ARITHMETIC OR CALCULATIONS IN THEIR HEAD. The more computers are used, the less the brain is developed in that area: i.e. they cannot do it WITHOUT the computer. The more calculators are used, especially during the elementary and secondary school levels, the LESS they can do calculations in their head. FACT: A GOOD SOLID EDUCATION DOES NOT CRIPPLE. IT STRENGTHENS THE INDIVIDUAL APART FROM THE TOOLS THAT ARE AVAILABLE IN PRIVATE INDUSTRY. Even an idiot can use them!!!!
@reversemoustachecat8127
@reversemoustachecat8127 8 жыл бұрын
I feel he is not evaluating the longer term and unintended consequences of dumbing down math education. This is a slippery slope to a lower IQ society with increased logical deficiency.
@raymeester7883
@raymeester7883 6 жыл бұрын
That't not how IQ or logical deficiency work.
@keniangervo8417
@keniangervo8417 9 жыл бұрын
I think (mental) calculation is very important not only to know how to reach the result, but also because of the concept of collective evolutionary advancement of mental processing of any kind. What I mean is that if we humans develop this skill, calculation, we tend to get better at it. It's basically how evolution works. It will take time, perhaps even thousands of years, but our mental processing will become better and faster all the time. Wouldn't it be better to do the calculation already in your head when you're thinking about a problem? You'd be faster than using a computer or a calculator, using your clumsy hands/fingers to first present the problem to a computer and then seeing the result. My five cents.
@ushasharma-gh8ji
@ushasharma-gh8ji 10 жыл бұрын
Maths education is major problem in our country. most of the students are unsuccessful in maths. there is no use of current technologies in math teaching.
@traktap
@traktap 9 жыл бұрын
Which country are you talking about ... if you are talking about India.. I dont agree.
@varunbhai2007
@varunbhai2007 9 жыл бұрын
usha sharma ji i dont think that indian kids are unsuccessful in maths. Point is that Maths is mostly become a burden to kids in school time and teachers are only teaching the formulas and equations but they dont tell us where we can use these formulas in our life and in our profession.
@raymeester7883
@raymeester7883 6 жыл бұрын
I not trying to stereotype, but I have never heard of Indians bad at maths.
@romeonazaire7971
@romeonazaire7971 5 жыл бұрын
Being good at math does not really equate to being a good problem solver (real-life problems). Wolfram was talking about extending the power of math thru computers and programming. He did say that the math subject can be treated as a highly specialized subject for those who wants it but should not be the same for the whole population. Conceptual understanding and should be enough since the computers will do the calculation for real-life problems.
@tronghai55
@tronghai55 5 жыл бұрын
The computer is only the end results of human intelligence to solve case problems. Using an answer on the computer are the pre problems print of solving of math nerds. So don't plagiarize or incriminating the human factor. Of course human errors can be trace and correct in good time but computer errors often crashes the whole system. But the fast pace of computing maths are the reflection of high qualified advanced Mathematicians computing imprint and not the contrary. But the computer can do far more fast pace computing than human once the intricacies of calculus are overcome. Like the complexities of interrelationship of the modulus of mathematical functions or its mathematical shift or transmutations can only be man made. That 's the flaw of the computer cause the computer cannot have the segregation or the discrimatory evaluation of multiple functions if it' s not pre-programmed. Sorry to antagonize your wrong assessment within the power of a computer.
@edrinawarma2126
@edrinawarma2126 9 жыл бұрын
Maths become worse because of teachers how have degrees and big titles with small teaching abilities. This is teachers and systems fault.
@kaderxyz7160
@kaderxyz7160 3 жыл бұрын
Hi. This reply is a bit late due to the youtube algorithm but; as a system, I find what you have just said mildly infuriating :)
@iart2838
@iart2838 3 жыл бұрын
EXACTLY, asking the computer doesn't always work! calculating by hand grows neurons.
@Xontar02
@Xontar02 4 жыл бұрын
And another thing. People that are really smart think that everyone else can learn like they can. Fatal mistake. And I couldn't I quite finish this video because I reached my limit on cringing over hearing "maths".
@xenozodiac852
@xenozodiac852 3 жыл бұрын
What is your problem with maths? What is there to cringe about? Maths is the preferred short form of mathematics in Britain and commonwealth countries. It is just as valid as math is.
@Xontar02
@Xontar02 3 жыл бұрын
@@xenozodiac852 I guess because I don't live in Britain and we don't put an "s" on the short form of "mathematics" in the USA, it makes me cringe. it just sounds----wrong----to me.
@xenozodiac852
@xenozodiac852 3 жыл бұрын
@@Xontar02 Then it is a you problem, not the problem of the presenter.
@StoicFlame
@StoicFlame 5 жыл бұрын
this is wrong, getting to figure out results in your own expands your brain and it works as a perfect ground on how to start thinking about how to creatively solve problems this gentleman speaking here want us to skip one important step in problem solving.
@t.k.-s.4212
@t.k.-s.4212 4 жыл бұрын
He is saying this from a perspective of being completely oblivious of the current state of high school-educated kids. Sure, for trained mathematicians this stuff is boring and you are able to program the computer how to solve it. There is a natural hierarchy from linear equations to quadratic equations and if you are not able to solve them on paper you won't be able to tell the computer how to solve it for you. It's true that coding should be part of the math curriculum, but only if the kids learn to write the program themselves and NOT just clicking buttons that spit out the answer...
@chippope8984
@chippope8984 7 жыл бұрын
I would be willing to bet a little money that HE did not learn the way he is professing!! And yet, here he stands an expert! And down playing the critical aspect of mastering your calculations without a calculator. Please do not reform primary and secondary math to reflect what this hypocrite is speaking. If he wants to consider it in college-have at it! I learned accounting the old fashioned way and therefore when I began using computers, I understood what the computer was actually doing. If I had just FACILITATED my education by just using the computer to do more complex accounting-I would forever have gaps in my accounting education. YOU JUST CANNOT RUN BEFORE YOU WALK!!!
@JanPrze
@JanPrze 6 жыл бұрын
C Pope Wait, you're calling him a hypocrite because he wasn't taught in this hipothetical system he thought up?
@cerverus753
@cerverus753 9 жыл бұрын
As many of the dumb comments on here, we can conclude that we need a new curriculum for learning math. It should be structured by leading experts (or proposed and discussed), then we have to create new teaching materials. As all of us can predict, a bug in teaching material is a minor issue but an issue nonetheless. Anyway, actions must be taken. Those who can get it must be the inspiration for the effort we need to put into it, so that such morons will be no more. WISE Channel
@VTMeafoa
@VTMeafoa 8 жыл бұрын
Boring presentation, boring filming.
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