ABOUT THE SPEAKER
Arthur Benjamin - Mathemagician
Using daring displays of algorithmic trickery, lightning calculator and number wizard Arthur Benjamin mesmerizes audiences with mathematical mystery and beauty.

Why you should listen

Arthur Benjamin makes numbers dance. In his day job, he's a professor of math at Harvey Mudd College; in his other day job, he's a "Mathemagician," taking the stage in his tuxedo to perform high-speed mental calculations, memorizations and other astounding math stunts. It's part of his drive to teach math and mental agility in interesting ways, following in the footsteps of such heroes as Martin Gardner.

Benjamin is the co-author, with Michael Shermer, of Secrets of Mental Math (which shares his secrets for rapid mental calculation), as well as the co-author of the MAA award-winning Proofs That Really Count: The Art of Combinatorial Proof. For a glimpse of his broad approach to math, see the list of research talks on his website, which seesaws between high-level math (such as his "Vandermonde's Determinant and Fibonacci SAWs," presented at MIT in 2004) and engaging math talks for the rest of us ("An Amazing Mathematical Card Trick").

More profile about the speaker
Arthur Benjamin | Speaker | TED.com
TED2009

Arthur Benjamin: Teach statistics before calculus!

Arthur Benjamin: Ensinem estatística antes de cálculo.

Filmed:
2,496,213 views

Alguém sempre pergunta ao professor de matemática, "Vou usar cálculo na vida real?" E para a maioria de nós, diz Arthur Benjamin, a resposta é não. Ele oferece uma proposta ousada sobre como fazer com que o ensino da matemática seja relevante na era digital.
- Mathemagician
Using daring displays of algorithmic trickery, lightning calculator and number wizard Arthur Benjamin mesmerizes audiences with mathematical mystery and beauty. Full bio

Double-click the English transcript below to play the video.

00:12
Now, if President Obama
0
0
3000
Agora, se o presidente Obama
00:15
invited me to be the next Czar of Mathematics,
1
3000
4000
me convidasse para ser
o próximo "Czar" da matemática
00:19
then I would have a suggestion for him
2
7000
3000
eu teria uma sugestão
00:22
that I think would vastly improve
3
10000
2000
a qual imagino que melhoraria em muito
00:24
the mathematics education in this country.
4
12000
3000
o ensino da matemática neste país.
00:27
And it would be easy to implement
5
15000
2000
E seria fácil de implementar
00:29
and inexpensive.
6
17000
2000
e de baixo custo.
00:31
The mathematics curriculum that we have
7
19000
2000
Nosso atual currículo escolar de matemática
00:33
is based on a foundation of arithmetic and algebra.
8
21000
4000
é baseado nos fundamentos
da aritmética e álgebra.
00:37
And everything we learn after that
9
25000
2000
E tudo que aprendemos a partir deste ponto
00:39
is building up towards one subject.
10
27000
3000
é direcionado a um assunto.
00:42
And at top of that pyramid, it's calculus.
11
30000
4000
E no topo desta pirâmide, está o cálculo.
00:46
And I'm here to say
12
34000
2000
E estou aqui para dizer
00:48
that I think that that is the wrong summit of the pyramid ...
13
36000
4000
que acho que este é
o pico errado da pirâmide...
00:52
that the correct summit -- that all of our students,
14
40000
2000
que o pico correto --
que todos nossos estudantes,
00:54
every high school graduate should know --
15
42000
2000
todos formados no ensino médio
deveriam saber --
00:56
should be statistics:
16
44000
3000
deveria ser estatística:
00:59
probability and statistics.
17
47000
2000
probabilidade e estatística.
01:01
(Applause)
18
49000
2000
(Aplausos)
01:03
I mean, don't get me wrong. Calculus is an important subject.
19
51000
4000
Quero dizer, não me interpretem mal.
Cálculo é uma disciplina importante.
É um dos grandes produtos da mente humana.
01:07
It's one of the great products of the human mind.
20
55000
2000
01:09
The laws of nature are written in the language of calculus.
21
57000
4000
As leis da natureza estão escritas
na linguagem do cálculo.
01:13
And every student who studies math, science, engineering, economics,
22
61000
4000
E todo estudante que estuda matemática,
ciências, engenharia, economia,
01:17
they should definitely learn calculus
23
65000
2000
deveria definitivamente aprender cálculo
01:19
by the end of their freshman year of college.
24
67000
2000
ao final do primeiro ano de faculdade.
01:21
But I'm here to say, as a professor of mathematics,
25
69000
3000
Mas estou aqui para dizer,
como um professor em matemática,
01:24
that very few people actually use calculus
26
72000
4000
que poucas pessoas
realmente utilizam cálculo
01:28
in a conscious, meaningful way, in their day-to-day lives.
27
76000
3000
de forma consciente
e significativa em seu dia a dia.
01:31
On the other hand,
28
79000
2000
Por outro lado,
01:33
statistics -- that's a subject that you could,
29
81000
3000
estatística -- esta é uma disciplina
que você poderia,
01:36
and should, use on daily basis. Right?
30
84000
3000
e deveria, utilizar no dia a dia. Certo?
01:39
It's risk. It's reward. It's randomness.
31
87000
3000
É risco. É recompensa. É aleatoriedade.
01:42
It's understanding data.
32
90000
2000
É entender dados.
01:44
I think if our students, if our high school students --
33
92000
2000
Imagino que se nossos alunos,
se nossos alunos do curso secundário --
01:46
if all of the American citizens --
34
94000
2000
se todos cidadãos americanos --
01:48
knew about probability and statistics,
35
96000
3000
conhecessem probabilidade e estatística,
01:51
we wouldn't be in the economic mess that we're in today. (Laughter) (Applause)
36
99000
3000
não estaríamos na "bagunça"
econômica em que estamos hoje.
01:54
Not only -- thank you -- not only that ...
37
102000
3000
Não somente -- obrigado --
não somente isto....
01:57
but if it's taught properly, it can be a lot of fun.
38
105000
3000
mas se ensinada apropriadamente,
pode ser bastante divertida.
02:00
I mean, probability and statistics,
39
108000
2000
Digo, probabilidade e estatística,
02:02
it's the mathematics of games and gambling.
40
110000
4000
é a matemática de jogos e apostas.
02:06
It's analyzing trends. It's predicting the future.
41
114000
4000
É analisar tendências. É prever o futuro.
02:10
Look, the world has changed
42
118000
2000
Vejam, o mundo mudou
02:12
from analog to digital.
43
120000
3000
de analógico para digital.
02:15
And it's time for our mathematics curriculum to change
44
123000
3000
E é hora de nosso currículo
de matemática mudar
02:18
from analog to digital,
45
126000
2000
de analógico para digital.
02:20
from the more classical, continuous mathematics,
46
128000
4000
De uma matemática mais clássica e contínua,
02:24
to the more modern, discrete mathematics --
47
132000
3000
para uma matemática
mais moderna e discreta.
02:27
the mathematics of uncertainty,
48
135000
2000
A matemática da incerteza,
02:29
of randomness, of data --
49
137000
2000
da aleatoriedade, dos dados --
02:31
that being probability and statistics.
50
139000
3000
ou seja, probabilidade e estatística.
02:34
In summary, instead of our students
51
142000
2000
Resumindo, ao invés de nossos estudantes
02:36
learning about the techniques of calculus,
52
144000
3000
aprenderem sobre as técnicas de cálculo,
02:39
I think it would be far more significant
53
147000
3000
eu acho que seria bem mais significativo
02:42
if all of them knew what two standard deviations
54
150000
3000
se todos eles soubessem
o que dois desvios padrão
02:45
from the mean means. And I mean it.
55
153000
3000
da média significa. E falo sério.
02:48
Thank you very much.
56
156000
2000
Muito obrigado
02:50
(Applause)
57
158000
3000
(Aplausos)

▲Back to top

ABOUT THE SPEAKER
Arthur Benjamin - Mathemagician
Using daring displays of algorithmic trickery, lightning calculator and number wizard Arthur Benjamin mesmerizes audiences with mathematical mystery and beauty.

Why you should listen

Arthur Benjamin makes numbers dance. In his day job, he's a professor of math at Harvey Mudd College; in his other day job, he's a "Mathemagician," taking the stage in his tuxedo to perform high-speed mental calculations, memorizations and other astounding math stunts. It's part of his drive to teach math and mental agility in interesting ways, following in the footsteps of such heroes as Martin Gardner.

Benjamin is the co-author, with Michael Shermer, of Secrets of Mental Math (which shares his secrets for rapid mental calculation), as well as the co-author of the MAA award-winning Proofs That Really Count: The Art of Combinatorial Proof. For a glimpse of his broad approach to math, see the list of research talks on his website, which seesaws between high-level math (such as his "Vandermonde's Determinant and Fibonacci SAWs," presented at MIT in 2004) and engaging math talks for the rest of us ("An Amazing Mathematical Card Trick").

More profile about the speaker
Arthur Benjamin | Speaker | TED.com