Discovery: A Squaring Pattern for Two-Digit Numbers and Beyond
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Publisher:Ohio Council of Teachers of Mathematics
Citation:Ohio Journal of School Mathematics, no. 64 (2011), 6-10.
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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