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The Evolution of Math Teaching |
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- 1960s: A peasant sells a bag of potatoes for $10. His costs amount to 4/5 of his selling price. What is his profit?
- 1970s: 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?
- 1970s (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 big 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 give the answer to the question:
What is the cardinality of the set of profits?
- 1980s: A farmer sells a bag of potatoes for $10. His production
costs are $8, and his profit is $2. Underline the word "potatoes" and
discuss with your classmates.
- 1990s: A farmer sells a bag of potatoes for $10. His or her
production costs are 0.80 of his or her revenue. On your calculator,
graph revenue vs. costs. Run the POTATO program to determine the
profit. Discuss the result with students in your group. Write a brief
essay that analyzes this example in the real world of economics.
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