Abstract
Ann Sullivan, who teaches at St. Norbert School, Paoli, PA 19301, gave the problem to her sixth-grade Advanced Math class. The students solved the problem immediately, finding how many tickets of each color were under the seats of the theater. She then asked them to find different ways to solve the problem. Their various strategies showed evidence of algebraic thinking, whether they used arithmetic or algebra. In each situation the students reasoned that the tickets had to be distributed in sets of 48 tickets, (3 + 19 + 15 + 11), resulting in 432 ÷ 48, or 9, complete sets of tickets hidden under the seats of the theater.
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