Word Problems by Reed Stephen K

Author:Reed, Stephen K.
Language: eng
Format: epub
Tags: Education
Publisher: Taylor & Francis Ltd
Published: 1998-11-30T16:00:00+00:00

Selecting Helpful Solutions

The question was raised in the introduction of whether a solution to a simpler problem or a solution to a more complex problem would be more helpful in solving a similar problem. Unlike some questions, the answer to this one doesn’t seem intuitively obvious so I tried to find the answer in a study published by Reed, Ackinclose, and Voss (1990).

In this study students had to first decide, for each of six problems, which of two examples they would prefer to use as an analogous problem to solve a test problem. Consider the following three problems of increasing complexity (inclusiveness):

1. A group of people paid $238 to purchase tickets to a play. How many people were in the group if the tickets cost $14 each.

2. A group of people paid $306 to purchase theater tickets. When 7 more people joined the group, the total cost was $425. How many people were in the original group if all tickets had the same price?

3. A group of people paid $70 to watch a basketball game. When 8 more people joined the group, the total cost was $120. How many people were in the original group if the larger group received a 20% discount?

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