Jun. 7th, 2009

nancylebov: (green leaves)


Wonderful version.

Link thanks to [livejournal.com profile] browngirl.

For more horror and business, see Resume with Monsters, in which Lovecraftian monsters aren't as scary as a bad job.

I was going to ask "Whatever happened to William Browning Spencer?", a mildly amusing thing to ask about a horror writer, but it turns out he's been writing quite a bit I hadn't heard about.
nancylebov: blue moon (Default)


Wonderful version.

Link thanks to [livejournal.com profile] browngirl.

For more horror and business, see Resume with Monsters, in which Lovecraftian monsters aren't as scary as a bad job.

I was going to ask "Whatever happened to William Browning Spencer?", a mildly amusing thing to ask about a horror writer, but it turns out he's been writing quite a bit I hadn't heard about.
nancylebov: blue moon (Default)
http://www.maa.org/devlin/LockhartsLament.pdf
The main problem with school mathematics is that there are no problems. Oh, I know what
passes for problems in math classes, these insipid “exercises.” “Here is a type of problem. Here
is how to solve it. Yes it will be on the test. Do exercises 1-35 odd for homework.” What a sad
way to learn mathematics: to be a trained chimpanzee.
But a problem, a genuine honest-to-goodness natural human question— that’s another thing.
How long is the diagonal of a cube? Do prime numbers keep going on forever? Is infinity a
number? How many ways can I symmetrically tile a surface? The history of mathematics is the
history of mankind’s engagement with questions like these, not the mindless regurgitation of
formulas and algorithms (together with contrived exercises designed to make use of them).
A good problem is something you don’t know how to solve. That’s what makes it a good
puzzle, and a good opportunity. A good problem does not just sit there in isolation, but serves as
a springboard to other interesting questions. A triangle takes up half its box. What about a
pyramid inside its three-dimensional box? Can we handle this problem in a similar way?
I can understand the idea of training students to master certain techniques— I do that too.
But not as an end in itself. Technique in mathematics, as in any art, should be learned in context.
The great problems, their history, the creative process— that is the proper setting. Give your
students a good problem, let them struggle and get frustrated. See what they come up with.
Wait until they are dying for an idea, then give them some technique. But not too much.

Link thanks to [livejournal.com profile] andrewducker.
nancylebov: blue moon (Default)
http://www.maa.org/devlin/LockhartsLament.pdf
The main problem with school mathematics is that there are no problems. Oh, I know what
passes for problems in math classes, these insipid “exercises.” “Here is a type of problem. Here
is how to solve it. Yes it will be on the test. Do exercises 1-35 odd for homework.” What a sad
way to learn mathematics: to be a trained chimpanzee.
But a problem, a genuine honest-to-goodness natural human question— that’s another thing.
How long is the diagonal of a cube? Do prime numbers keep going on forever? Is infinity a
number? How many ways can I symmetrically tile a surface? The history of mathematics is the
history of mankind’s engagement with questions like these, not the mindless regurgitation of
formulas and algorithms (together with contrived exercises designed to make use of them).
A good problem is something you don’t know how to solve. That’s what makes it a good
puzzle, and a good opportunity. A good problem does not just sit there in isolation, but serves as
a springboard to other interesting questions. A triangle takes up half its box. What about a
pyramid inside its three-dimensional box? Can we handle this problem in a similar way?
I can understand the idea of training students to master certain techniques— I do that too.
But not as an end in itself. Technique in mathematics, as in any art, should be learned in context.
The great problems, their history, the creative process— that is the proper setting. Give your
students a good problem, let them struggle and get frustrated. See what they come up with.
Wait until they are dying for an idea, then give them some technique. But not too much.

Link thanks to [livejournal.com profile] andrewducker.
nancylebov: blue moon (Default)
[livejournal.com profile] rinku wrote about games which appeal to male instincts of hunting and fighting vs. games which appeal to female instincts of nurturing. This leaves out a large category of games like tetris, minesweeper, and Ring Pass Not that appeal to the desire to get things to match neatly. [1]

I think this is an instinct, or else those games wouldn't be such timesucks. I don't know of any animals that show signs of sharing it, and I suspect civilization would be impossible without it.

[1] I believe tetris also appeals to the desire to drop things from a height. Dropping things and having them slot neatly into place is a pleasure that ordinary life just does not offer.
nancylebov: blue moon (Default)
[livejournal.com profile] rinku wrote about games which appeal to male instincts of hunting and fighting vs. games which appeal to female instincts of nurturing. This leaves out a large category of games like tetris, minesweeper, and Ring Pass Not that appeal to the desire to get things to match neatly. [1]

I think this is an instinct, or else those games wouldn't be such timesucks. I don't know of any animals that show signs of sharing it, and I suspect civilization would be impossible without it.

[1] I believe tetris also appeals to the desire to drop things from a height. Dropping things and having them slot neatly into place is a pleasure that ordinary life just does not offer.

May 2025

S M T W T F S
    123
45678910
11 121314151617
18192021222324
25262728293031

Most Popular Tags

Style Credit

Expand Cut Tags

No cut tags
Page generated Jul. 8th, 2025 05:32 pm
Powered by Dreamwidth Studios