Discovery: A Squaring Pattern for Two-Digit Numbers and Beyond
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Date
2011
Authors
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Journal ISSN
Volume Title
Publisher
Ohio Council of Teachers of Mathematics
Abstract
Delving into and expanding the thinking of students is an important challenge for mathematics teachers.
This article describes the thinking of one student, Sam, about perfect square numbers. His thinking and the
probing of his teacher helped Sam develop his own pattern for mentally calculating perfect squares. Sam
writes his pattern as a formula involving digits of the original number to be squared. The article describes his
thinking process and the algebra used to verify his ideas.
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Citation
Ohio Journal of School Mathematics, no. 64 (2011), 6-10.