Description: Teaching Math Through the Decades
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
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.