Conrad Wolfram - Making Maths Beautiful
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- Опубликовано: 16 окт 2024
- Conrad Wolfram, Mathematician Founder, Wolfram Research Europe. The importance of math to jobs, society and thinking has exploded over the last few decades. Meanwhile, math education has gotten stuck or has even slipped backward. Why has this chasm opened up? It's all about computers: when they do the calculating, people can work on harder questions, try more concepts, and play with a multitude of new ideas. Conrad Wolfram discusses a new project to build a completely new math curriculum with computer-based computation at its heart - alongside a campaign to refocus math education away from historical hand-calculating techniques and toward relevant and conceptually interesting topics.
Presented at the Learning Without Frontiers Conference, January 25th 2012, London
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I find watching these lectures easier than Maths lessons. Honestly, without RUclips I would fail! :)
Symbolic calculators should be the norm in education. We got to use one in our last year of highschool and I can tell you I learnt a lot more maths that year than in the years before.
Starting university this year I noticed I have quite an advantage over other students.
That's what the IB program does, they give harder questions because we use a CAS and that has pushed the students further.
I used to be the best mathematician in my school in my first year of high school... I was an absolute prodigy... And I was soooooo passionate... Then I took a break, went back to it and I burnt out... :(
This video is totally worth viewing if just for his response to question of learning your times table to solve quadratic equations. Teach students to use computers to do real maths, don't use computers/calculators to teach students how to calculate.
Mathematics improve logic. I love Maths it's fun. Be friend with maths.
I agree, partially. I would not take anything out of my A-level maths book. Everything I learned there is still useful to me as an engineer. However honing my skills to be be able to do manual computation quickly in an exam situation was a waste of time, as it is an ability I have now lost. So I say, don´t take anything out of the textbook, but make the assesment a programming assignment instead of an exam. And give marks for a program that is computationally efficient.
As an example, many times I have seen programs to draw a semicircle as: FOR N=0 TO 180 PLOT [R SIN(N), R COS (N)] but this is a slow way of doing it. A faster running program uses Pythagoras: FOR N = -R TO R PLOT [N, SQRT( R^2 - N^2)] This can run even faster if the program is done in such way that it avoids the square root. And faster still if it calculates the squares by succesive summing instead of multiplying, by using the formula (n+1)^2 = n^2 + 2n + 1 thus: 1+3=4, 4+5=9, 9+7=16, 16+9=25, 25+11=36, 36+13=49 etc.
This is a pretty closed example. A more open, real world example would be to write a program which quickly finds the best (or almost the best) solution to the travelling salesman problem.
How make Maths beautiful.
Maths is already beautiful. When I teach someone maths, my first lesson is about it.( I had five pound I spend three pound, now I have two pound. £5 - £2 = £3). It looks very simple but it has big meaning and it is the first step to make maths beautiful.
we can combine these two ideas to make education of mathematics better.
In "A Mathematician's Apology," G.H. Hardy also suggested that there were two mathematics: One for inferior applications and another for the true artists. So I ask, why would we ever want to teach students dull applications at the expense of an otherwise fascinating subject meant only to exercise their minds? If anything, applications should follow the mathematics--not the other way around. We are trying to inspire real artists: The kind that are not entirely reliant on a computer to do math.
strongly agree your words
Um,.. Albert Einstein, Stephen Hawking, both people that were only able to ASK QUESTIONS in mathematics due to their deep understanding in maths. Thus deep understanding was only caused by learning maths. How else is someone meant to learn maths. We must be able to tackle completely theoretical problems before we are good enough to tackle real life problems
He didn't say people shouldn't learn how to compute; he said they should learn to program. Writing a low-level computer program to carry out the same tasks requires *at least* as much knowledge as pencil-and-paper computation, but is far more engaging and real-world relevant, far less error-prone, and lacks pointless repetition. The fact that he uses WolframAlpha for demonstration is incidental and no reason to dismiss this as an advertisement. You totally missed the point if you believe that.
So are you saying that applied maths should be taught at schools? Well, applied maths is basically engineering, computer science, actuarial studies, etc. which are specialized fields and more suitable to be studied at university. If you teach applied maths to student, they won't have the skills to do the problems. I believe that maths at school should be pure maths with an emphasis on rigor, problem solving and understanding so students can make use of the maths in university.
Conrad is right. Maths is about problem solving equations but the proven logic of innovative equations belong to the man innovative science mathematics not computers. But once the programming of the logic solving is done, computer give us more speed input and output for sure. The world of mathematics is changing by the shift shaping 3 D mathematics that force engineers to think spatial overall mathematics. An 2 D mathematics is linear on one plane but a 3 D mathematics you will have angular momentum visiography shift. So the problem solving has to be paired to computers. Still the computers cannot invent graphic constant ou constant index unless it is mathematical create by man before programming. So Mr Conrad we cannot separate a new way of doing maths and the creativity of computer imaging which force mathematics to be more creative in problems solving and typing.
Woahhh i did not know that.... KOOL thnks man ! #
So they understand the logic of maths, the magic of maths.
I score high on IQ tests for maths but it bores me to tears. The only way I find it worth my time learning is when connected with quantum mechanics. QM is so freaky and bizarre it's very entertaining for me. But moving x's and y's around gets boring fast. Saying that, I have a little stimulus/response conditioning technique to add enjoyment to anything. But I prefer writing as I can go in any direction I want and even make up new words. It's freedom of expression. Yet I hated English in School.
My dream is to work on your company, and will make Mathematica be the best statistical programming software.
How's it going so far? Reduce, Axiom and Maxima are worth looking at.
Please send this to EVERYONE who sends their kids to Kumon!
I wish he was my professor at college.
I have to disagree quite strongly with his arguments around the 7 minute mark...
Yes you are right. (One clever brain make modern technology block 10000.... s brain). Not only around using computer and maths, children because of modern technology stopped to be be creative every thing they have ready. Students just copy from internet and doing homework without any revision and understanding what they are chopping. The know the word homework but they don't know the real meaning of it poor children. It's not there fault (what we are planting grows)
He really rings true about assessment, it is so laughable. Incredible that it has stayed in its dumbed down 'we set the answers or better yet multiple choice' form for so long is an insult to students.
I LOVE MINECRAFT
SOO what does it do in maths?
Funny how this guy wants a world dependent upon his computer program? And wants to remove from schools any chance of someone knowing how to compute mathematics to make a computer program to rival this. I am a math degree student and I watched this because I truly love the subject. This however is a 25 minute advertising campaign. Beautiful mathematics is eulers formula and the bernoulli spiral. Just saying
This is repeat lecture of ruclips.net/video/xYONRn3EbYY/видео.html
He’s himself rotting.
boring
STILL HATE MATHS!!