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The Mathematics Enthusiast

Authors

Amir H. Asghari

Volume

22

Issue

3

Abstract

This paper originated as a talk for school teachers, aimed at demonstrating that the multiplication table is more than a simple memory aid. Instead, it is a powerful tool for exploring mathematical patterns and plays an essential role in both the discovery and teaching of mathematics. The initial goal was to illustrate how the table could act as a bridge between arithmetic, algebra, and proof. However, as the author delved into the table, its intricate structure began to unfold, with each idea seamlessly leading to the next. This evolution transformed the table’s utility far beyond its initial educational purpose. This paper chronicles that journey—from its beginnings to its culmination in Faulhaber’s formula and Bernoulli numbers. Rather than immediately diving into symbolic mathematics, the paper lets the multiplication table gradually reveal its potential as a gateway to advanced mathematical concepts.

First Page

375

Last Page

396

Digital Object Identifier (DOI)

10.54870/1551-3440.1675

Publisher

University of Montana, Maureen and Mike Mansfield Library

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