Very nice article. Reminds me of how they learn stuff in The Matrix.

--Venkat

http://www.theatlantic.com/technology/print/2011/06/how-i-failed-failed-and-finally-succeeded-at-learning-how-to-code/239855/

By James Somers

The programming website Project Euler provides a plan for how to learn
anything in fun, discrete steps

SomersCode-Post.jpg

When Colin Hughes was about eleven years old his parents brought home a
rather strange toy. It wasn't colorful or cartoonish; it didn't seem to
have any lasers or wheels or flashing lights; the box it came in was
decorated, not with the bust of a supervillain or gleaming protagonist,
but bulleted text and a picture of a QWERTY keyboard. It called itself
the "ORIC-1 Micro Computer." The package included two cassette tapes, a
few cords and a 130-page programming manual.

On the whole it looked like a pretty crappy gift for a young boy. But
his parents insisted he take it for a spin, not least because they had
just bought the thing for more than £129. And so he did. And so, he
says, "I was sucked into a hole from which I would never escape."

It's not hard to see why. Although this was 1983, and the ORIC-1 had
about the same raw computing power as a modern alarm clock, there was
something oddly compelling about it. When you turned it on all you saw
was the word "Ready," and beneath that, a blinking cursor. It was an
open invitation: type something, see what happens.

In less than an hour, the ORIC-1 manual took you from printing the word
"hello" to writing short programs in BASIC -- the Beginner's All-Purpose
Symbolic Instruction Code -- that played digital music and drew wildly
interesting pictures on the screen. Just when you got the urge to try
something more complicated, the manual showed you how.

In a way, the ORIC-1 was so mesmerizing because it stripped computing
down to its most basic form: you typed some instructions; it did
something cool. This was the computer's essential magic laid bare.
Somehow ten or twenty lines of code became shapes and sounds; somehow
the machine breathed life into a block of text.

No wonder Colin got hooked. The ORIC-1 wasn't really a toy, but a toy
maker. All it asked for was a special kind of blueprint.

Once he learned the language, it wasn't long before he was writing his
own simple computer games, and, soon after, teaching himself
trigonometry, calculus and Newtonian mechanics to make them better. He
learned how to model gravity, friction and viscosity. He learned how to
make intelligent enemies.

More than all that, though, he learned how to teach. Without quite
knowing it, Colin had absorbed from his early days with the ORIC-1 and
other such microcomputers a sense for how the right mix of accessibility
and complexity, of constraints and open-endedness, could take a student
from total ignorance to near mastery quicker than anyone -- including
his own teachers -- thought possible.

It was a sense that would come in handy, years later, when he gave birth
to Project Euler, a peculiar website that has trained tens of thousands
of new programmers, and that is in its own modest way the emblem of a
nascent revolution in education.

oric-1 screenshot.png

* * *

Sometime between middle and high school, in the early 2000s, I got a
hankering to write code. It was very much a "monkey see, monkey do" sort
of impulse. I had been watching a lot of TechTV -- an obscure but
much-loved cable channel focused on computing, gadgets, gaming and the
Web -- and Hackers, the 1995 cult classic starring Angelina Jolie in
which teenaged computer whizzes, accused of cybercrimes they didn't
commit, have to hack their way to the truth.

I wanted in. So I did what you might expect an over-enthusiastic
suburban nitwit to do, and asked my mom to drive me to the mall to buy
Ivor Horton's 1,181-page, 4.6-pound Beginning Visual C++ 6. I imagined
myself working montage-like through the book, smoothly accruing
expertise one chapter at a time.

What happened instead is that I burned out after a week. The text itself
was dense and unsmiling; the exercises were difficult. It was quite
possibly the least fun I've ever had with a book, or, for that matter,
with anything at all. I dropped it as quickly as I had picked it up.

Remarkably I went through this cycle several times: I saw people
programming and thought it looked cool, resolved myself to learn, sought
out a book and crashed the moment it got hard.

For a while I thought I didn't have the right kind of brain for
programming. Maybe I needed to be better at math. Maybe I needed to be
smarter.

But it turns out that the people trying to teach me were just doing a
bad job. Those books that dragged me through a series of structured
principles were just bad books. I should have ignored them. I should
have just played.

Nobody misses that fact more egregiously than the American College
Board, the folks responsible for setting the AP Computer Science high
school curriculum. The AP curriculum ought to be a model for how to
teach people to program. Instead it's an example of how something
intrinsically amusing can be made into a lifeless slog.

ap curriculum outline.png

I imagine that the College Board approached the problem from the top
down. I imagine a group of people sat in a room somewhere and asked
themselves, "What should students know by the time they finish this
course?"; listed some concepts, vocabulary terms, snippets of code and
provisional test questions; arranged them into "modules," swaths of
exposition followed by exercises; then handed off the course,
ready-made, to teachers who had no choice but to follow it to the letter.

Whatever the process, the product is a nightmare described eloquently by
Paul Lockhart, a high school mathematics teacher, in his short booklet,
A Mathematician's Lament, about the sorry state of high school
mathematics. His argument applies almost beat for beat to computer
programming.

Lockhart illustrates our system's sickness by imagining a fun problem,
then showing how it might be gutted by educators trying to "cover" more
"material."

Take a look at this picture:

lockhart's triangle.png

It's sort of neat to wonder, How much of the box does the triangle take
up? Two-thirds, maybe? Take a moment and try to figure it out.

If you're having trouble, it could be because you don't have much
training in real math, that is, in solving open-ended problems about
simple shapes and objects. It's hard work. But it's also kind of fun --
it requires patience, creativity, an insight here and there. It feels
more like working on a puzzle than one of those tedious drills at the
back of a textbook.

If you struggle for long enough you might strike upon the rather clever
idea of chopping your rectangle into two pieces like so:

lockhart's triangle with vertical.png

Now you have two rectangles, each cut diagonally in half by a leg of the
triangle. So there is exactly as much space inside the triangle as
outside, which means the triangle must take up exactly half the box!

    This is what a piece of mathematics looks and feels like. That
little narrative is an example of the mathematician's art: asking simple
and elegant questions about our imaginary creations, and crafting
satisfying and beautiful explanations. There is really nothing else
quite like this realm of pure idea; it's fascinating, it's fun, and it's
free!

But this is not what math feels like in school. The creative process is
inverted, vitiated:

    This is why it is so heartbreaking to see what is being done to
mathematics in school. This rich and fascinating adventure of the
imagination has been reduced to a sterile set of "facts" to be memorized
and procedures to be followed. In place of a simple and natural question
about shapes, and a creative and rewarding process of invention and
discovery, students are treated to this:

    triangle area formula picture.png

    "The area of a triangle is equal to one-half its base times its
height." Students are asked to memorize this formula and then "apply" it
over and over in the "exercises." Gone is the thrill, the joy, even the
pain and frustration of the creative act. There is not even a problem
anymore. The question has been asked and answered at the same time --
there is nothing left for the student to do.

* * *

My struggle to become a hacker finally saw a breakthrough late in my
freshman year of college, when I stumbled on a simple question:

    If we list all the natural numbers below 10 that are multiples of 3
or 5, we get 3, 5, 6 and 9. The sum of these multiples is 23.

    Find the sum of all the multiples of 3 or 5 below 1000.

This was the puzzle that turned me into a programmer. This was Project
Euler problem #1, written in 2001 by a then much older Colin Hughes,
that student of the ORIC-1 who had gone on to become a math teacher at a
small British grammar school and, not long after, the unseen professor
to tens of thousands of fledglings like myself.

The problem itself is a lot like Lockhart's triangle question -- simple
enough to entice the freshest beginner, sufficiently complicated to
require some thought.

What's especially neat about it is that someone who has never programmed
-- someone who doesn't even know what a program is -- can learn to write
code that solves this problem in less than three hours. I've seen it
happen. All it takes is a little hunger. You just have to want the answer.

That's the pedagological ballgame: get your student to want to find
something out. All that's left after that is to make yourself available
for hints and questions. "That student is taught the best who is told
the least."

It's like sitting a kid down at the ORIC-1. Kids are naturally curious.
They love blank slates: a sandbox, a bag of LEGOs. Once you show them a
little of what the machine can do they'll clamor for more. They'll want
to know how to make that circle a little smaller or how to make that
song go a little faster. They'll imagine a game in their head and then
relentlessly fight to build it.

Along the way, of course, they'll start to pick up all the concepts you
wanted to teach them in the first place. And those concepts will stick
because they learned them not in a vacuum, but in the service of a
problem they were itching to solve.

Project Euler, named for the Swiss mathematician Leonhard Euler, is
popular (more than 150,000 users have submitted 2,630,835 solutions)
precisely because Colin Hughes -- and later, a team of eight or nine
hand-picked helpers -- crafted problems that lots of people get the itch
to solve. And it's an effective teacher because those problems are
arranged like the programs in the ORIC-1's manual, in what Hughes calls
an "inductive chain":

The problems range in difficulty and for many the experience is
inductive chain learning. That is, by solving one problem it will expose
you to a new concept that allows you to undertake a previously
inaccessible problem. So the determined participant will slowly but
surely work his/her way through every problem.

This is an idea that's long been familiar to video game designers, who
know that players have the most fun when they're pushed always to the
edge of their ability. The trick is to craft a ladder of increasingly
difficult levels, each one building on the last. New skills are
introduced with an easier version of a challenge -- a quick
demonstration that's hard to screw up -- and certified with a harder
version, the idea being to only let players move on when they've shown
that they're ready. The result is a gradual ratcheting up the learning
curve.

Project Euler is engaging in part because it's set up like a video game,
with 340 fun, very carefully ordered problems. Each has its own page,
like this one that asks you to discover the three most popular squares
in a game of Monopoly played with 4-sided (instead of 6-sided) dice. At
the bottom of the puzzle description is a box where you can enter your
answer, usually just a whole number. The only "rule" is that the program
you use to solve the problem should take no more than one minute of
computer time to run.

On top of this there is one brilliant feature: once you get the right
answer you're given access to a forum where successful solvers share
their approaches. It's the ideal time to pick up new ideas -- after
you've wrapped your head around a problem enough to solve it.

This is also why a lot of experienced programmers use Project Euler to
learn a new language. Each problem's forum is a kind of Rosetta stone.
For a single simple problem you might find annotated solutions in
Python, C, Assembler, BASIC, Ruby, Java, J and FORTRAN.

Even if you're not a programmer, it's worth solving a Project Euler
problem just to see what happens in these forums. What you'll find there
is something that educators, technologists and journalists have been
talking about for decades. And for nine years it's been quietly thriving
on this site. It's the global, distributed classroom, a nurturing
community of self-motivated learners -- old, young, from more than two
hundred countries -- all sharing in the pleasure of finding things out.

* * *

It's tempting to generalize: If programming is best learned in this
playful, bottom-up way, why not everything else? Could there be a
Project Euler for English or Biology?

Maybe. But I think it helps to recognize that programming is actually a
very unusual activity. Two features in particular stick out.

The first is that it's naturally addictive. Computers are really fast;
even in the '80s they were really fast. What that means is there is
almost no time between changing your program and seeing the results.
That short feedback loop is mentally very powerful. Every few minutes
you get a little payoff -- perhaps a small hit of dopamine -- as you
hack and tweak, hack and tweak, and see that your program is a little
bit better, a little bit closer to what you had in mind.

It's important because learning is all about solving hard problems, and
solving hard problems is all about not giving up. So a machine that
triggers hours-long bouts of frantic obsessive excitement is a pretty
nifty learning tool.

The second feature, by contrast, is something that at first glance looks
totally immaterial. It's the simple fact that code is text.

Let's say that your sink is broken, maybe clogged, and you're feeling
bold -- instead of calling a plumber you decide to fix it yourself. It
would be nice if you could take a picture of your pipes, plug it into
Google, and instantly find a page where five or six other people
explained in detail how they dealt with the same problem. It would be
especially nice if once you found a solution you liked, you could
somehow immediately apply it to your sink.

Unfortunately that's not going to happen. You can't just copy and paste
a Bob Villa video to fix your garage door.

But the really crazy thing is that this is what programmers do all day,
and the reason they can do it is because code is text.

I think that goes a long way toward explaining why so many programmers
are self-taught. Sharing solutions to programming problems is easy,
perhaps easier than sharing solutions to anything else, because the
medium of information exchange -- text -- is the medium of action. Code
is its own description. There's no translation involved in making it go.

Programmers take advantage of that fact every day. The Web is teeming
with code because code is text and text is cheap, portable and
searchable. Copying is encouraged, not frowned upon. The neophyte
programmer never has to learn alone.

* * *

Garry Kasparov, a chess grandmaster who was famously bested by IBM's
Deep Blue supercomputer, notes how machines have changed the way the
game is learned:

    There have been many unintended consequences, both positive and
negative, of the rapid proliferation of powerful chess software. Kids
love computers and take to them naturally, so it's no surprise that the
same is true of the combination of chess and computers. With the
introduction of super-powerful software it became possible for a
youngster to have a top- level opponent at home instead of needing a
professional trainer from an early age. Countries with little by way of
chess tradition and few available coaches can now produce prodigies.

A student can now download a free program that plays better than any
living human. He can use it as a sparring partner, a coach, an
encyclopedia of important games and openings, or a highly technical
analyst of individual positions. He can become an expert without ever
leaving the house.

Take that thought to its logical end. Imagine a future in which the best
way to learn how to do something -- how to write prose, how to solve
differential equations, how to fly a plane -- is to download software,
not unlike today's chess engines, that takes you from zero to sixty by
way of a delightfully addictive inductive chain.

If the idea sounds far-fetched, consider that I was taught to program by
a program whose programmer, more than twenty-five years earlier, was
taught to program by a program.

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