The Evolution
of a Math Problem
1950:
A lumberjack sells a truckload of lumber for $100. His cost of production is 4/5 of this price.
* What is his profit?
A lumberjack sells a truckload of lumber for $100. His cost of production is 4/5 of this price.
* What is his profit?
1960 (traditional math):
A lumberjack sells a truckload of lumber for $100. His cost of production is 4/5 of this price, or in other words $80.
* What is his profit?
A lumberjack sells a truckload of lumber for $100. His cost of production is 4/5 of this price, or in other words $80.
* What is his profit?
1970 (new math):
A lumberjack exchanges a set L of lumber for a set M of money. The cardinality of set M is 100, and each element is worth $1. Make 100 dots representing the elements of set M. The set C is a subset of set M, of cardinality 80.
* What is the cardinality of the set P of profits, if P is the difference set MC?
A lumberjack exchanges a set L of lumber for a set M of money. The cardinality of set M is 100, and each element is worth $1. Make 100 dots representing the elements of set M. The set C is a subset of set M, of cardinality 80.
* What is the cardinality of the set P of profits, if P is the difference set MC?
1980 (equal opportunity math):
A lumberjack sells a truckload of wood for $100. His or her cost of production is $80, and his or her profit is $20.
* Your assignment: Underline the number 20.
A lumberjack sells a truckload of wood for $100. His or her cost of production is $80, and his or her profit is $20.
* Your assignment: Underline the number 20.
1990 (outcome based education):
By cutting down beautiful forest trees, a lumber-person makes $20. What do you think of his way of making a living?
* In your group, discuss how the forest birds and squirrels feel, and write an essay about it.
By cutting down beautiful forest trees, a lumber-person makes $20. What do you think of his way of making a living?
* In your group, discuss how the forest birds and squirrels feel, and write an essay about it.
1995 (entrepreneurial math):
By laying off 402 of its lumberjacks, a company improves its stock price from $80 to $100.
* How much capital gain per share does the CEO make by exercising his stock options at $80? Assume capital gains are no longer taxed, because this encourages investment.
By laying off 402 of its lumberjacks, a company improves its stock price from $80 to $100.
* How much capital gain per share does the CEO make by exercising his stock options at $80? Assume capital gains are no longer taxed, because this encourages investment.
1998 (motivational math):
A logging company exports its wood-finishing jobs to its Indonesian subsidiary and lays off the corresponding half of its US workers (the higher-paid half). It clear-cuts 95% of the forest, leaving the rest for the spotted owl, and lays off all its remaining US workers. It tells the workers that the spotted owl is responsible for the absence of fellable trees and lobbies Congress for exemption from the Endangered Species Act. Congress instead exempts the company from all federal regulation.
* What is the return on investment of the lobbying?
A logging company exports its wood-finishing jobs to its Indonesian subsidiary and lays off the corresponding half of its US workers (the higher-paid half). It clear-cuts 95% of the forest, leaving the rest for the spotted owl, and lays off all its remaining US workers. It tells the workers that the spotted owl is responsible for the absence of fellable trees and lobbies Congress for exemption from the Endangered Species Act. Congress instead exempts the company from all federal regulation.
* What is the return on investment of the lobbying?
You Might Be a Schoolteacher if...
- You want to slap the next person who says, "Must be nice to work from 8 to 3 and have your summers free!"
- You have no time for a life from August to June.
- when out in public you feel the urge to talk to strange children and correct their behavior.
- You refer to adults as "boys and girls."
- You encourage your spouse by telling them they are a "good helper."
- You've ever had your profession slammed by someone who would never dream of doing your job.
- Meeting a child's parents instantly answers the question, "Why is this kid like this?"
- You believe "extremely annoying" should have its own box on the report card.
- You know hundred good reasons for being late.
- You don't want children of your own because there isn't a name you can hear that wouldn't elevate your blood pressure.
ART
The teacher brings a statue of Venus into class and asks, "What do you like best about it, class? Let's start with you, Robert."
"The artwork," says Robert.
"Very good. And you, Peter?"
"Her tits!" says Peter.
"Peter, get out! Go stand in the hall," responds the teacher with disgust. "And you, Johnny?"
"I'm leaving, teacher, I'm leaving..."
"The artwork," says Robert.
"Very good. And you, Peter?"
"Her tits!" says Peter.
"Peter, get out! Go stand in the hall," responds the teacher with disgust. "And you, Johnny?"
"I'm leaving, teacher, I'm leaving..."
*
*
8 Tips For Teachers
1. Don’t tell the student “slow down” or “ just relax.”
2. Don’t complete words for the student or talk for him or her.
3.
Help all members of the class learn to take turns talking and
listening. All students — and especially those who stutter — find it
much easier to talk when there are few interruptions and they have the listener’s attention.
4. Expect the same quality and quantity of work from the student who stutters as the one who doesn’t.
5. Speak with the student in an unhurried way, pausing frequently.
6. Convey that you are listening to the content of the message, not how it is said.
7.
Have a one-on-one conversation with the student who stutters about
needed accommodations in the classroom. Respect the student’s needs, but
do not be enabling.
8. Don’t make stuttering something to be ashamed of. Talk about stuttering just like any other matter.
Compiled by Lisa Scott, Ph.D., The Florida State University
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