A Variation on a Very Familiar Algorithm

Abstract

This manuscript is dedicated to the memory of Celia LaGrange, a mathematics teacher for more than twenty-five years. She approached her teaching with enthusiasm and creativity and was an inspiration to her students. We would also like to acknowledge the assistance of John NerT in the preparation of this manuscript. ord it as (1, 7). In this ?ght the standard multip?cation table can be redrafted (table 1). One-digit numbers may also be thought of as ordered pairs, for example,