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Teaching Math Through the Decades


In 1950:  A logger sells a truckload of lumber for $100.  His cost of production is four-fifths of the price.  What is his profit?

In 1960:  A logger sells a truckload of lumber for $100.  His cost of production is four-fifths of the price, or $80.  What is his profit?

In 1970 (new math):  A logger exchanges a set L of lumber for a set M of money.  The cardinality of set M is 100, and each element is worth $1.00.  Make 100 dots representing the elements of the set M.  The set C of the costs of production contains 20 fewer points than set M.  Represent the set C as a subset of M, and answer the following question:  What is the cardinality of the set P of profits?

In 1980:  A logger sells a truckload of lumber for $100.  His cost of production is $80 and his profit is $20.  Your assignment:  Underline the number 20.

In 1990 (outcome-based education):  By cutting down beautiful forest trees, a logger makes $20.  What do you think of this way of making a living?  (Topic for class participation:  How did the forest birds and squirrels feel?)

In 1996  By laying off 40% of its loggers, 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.

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Last updated 2004-04-11