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The Discovery of a Generalization: An Example in Problem Solving

by Hugh Ouellette

Award: George Pólya

Year of Award: 1980

Publication Information: The College Mathematics Journal, Vol. 10, No. 2, (1979), pp. 100-106

Summary: Outlines a problem-solving approach for transforming to algebraic forms and for algebraic manipulations.  Also indicates how a student might develop a conjecture and then verify it.

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About the Authors: (from The College Mathematics Journal, Vol. 10, No. 2, (1979)) Hugh Ouellette is associate professor of mathematical science at Winona State University, Winona, Minnesota. He earned the Ed.D. in mathematics education at the University of Northern Colorado in 1972. His special interests are teacher preparation and problem solving.

Gordon Bennett is assistant professor of mathematics at Western Montana College at Dillon. He has worked with the Madison Project (St. Louis). His particular interests are teacher preparation and geometry.


Subject classification(s): Algebra | Algebraic Manipulation | Geometry and Topology | Algebraic Geometry | Index
Publication Date: 
Sunday, July 20, 2008