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Generating Problems from Problems and Solutions from Solutions

Abraham Arcavi, Zippora Resnick 

August 2008, Volume 102, Issue 1, Page 10

Abstract:
A geometric solution to a problem that is usually solved analytically as an example of how alternative solutions may enrich the teaching and learning of mathematics. The problem discussed is the "Reaper Problem."  This problem could be posed to students to solve algebraically or geometrically, or to be used to show the connection between the two subjects.

Keywords:
Article
Cross-Content (Math Only) Connections
Area
Grades 9-12
Teacher
Problems
Quadratics
Problem Solving / Problem Posing
Reasoning and Proof