# The Evolution of Math Teaching

А кстати, все знают эту шутку:

The Evolution of Math Teaching

1960's: "A farmer sells a bag of potatoes for \$10. His costs amount to 4/5 of his selling price. What is his profit?"

1970's: "A farmer sells a bag of potatoes for \$10. His costs amount to 4/5 of his selling price, that is \$8. What is his profit?"

1970's (new math): "A farmer exchanges a set P of potatoes with set M of money. The cardinality of the set M is equal to 10, and each element of M is worth \$1. Draw ten dots representing the elements of M. The set C of production costs is composed of two big dots less than the set M. Represent C as a subset of M and find its complement, the set of profits. What is the cardinality of the set of profits?"

1980's: "A farmer sells a bag of potatoes for \$10. His costs are \$8 and his profit is \$2. Underline the profit and discuss the fairness of this amount with your classmates."

1990's: "A farmer sells a bag of potatoes for \$10. His or her production costs are 0.80 of revenue. On your calculator, graph revenue vs. costs. Run the POTATO program to determine the profit. Write a brief essay that analyzes this example in the context of the real world of economics."

(Anon. Adapted from the American Mathematical Monthly, Vol 101, No.5 May,
1994)
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