Sunday, August 28, 2011

What It Means to Know and Do Mathematics

Consider the following task and respond to these questions on the discussion board:
• What features of “doing mathematics” does it have?
• To what extent does it lead students to develop a relational understanding?
• To what extent does it develop mathematical proficiency?
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The Sole D’Italia Pizzeria sells small, medium, and large pizzas,  The small pie is 9 inches in diameter, the medium is 12 inches in diameter and the large is 15 inches in diameter.  For a small plain cheese pizza, the price is $6; for a medium it charges $9 and for a large, $12.
• Which measures should be most closely related to the prices charged- circumference, area, radius, or diameter.  Why?
• Use your results to write a report on the fairness of Sole D’Italia’s pizza prices.
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