Generating Problems from Problems and Solutions from Solutions
Abraham Arcavi, Zippora Resnick · Mathematics Teacher Learning and Teaching PK-12 · 2008
Many mathematical problems can be completely solved analytically. Usually, when we reach a solution, we tend to be satisfied and consider the task finished. In this article, we illustrate the practice of reexamining the result of a full analytic solution, an approach that leads to the search for an alternative geometrical solution and thus enhances our understanding of both solutions.