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Asghari, A (2025) Wonders of Multiplication Table. The Mathematics Enthusiast, 22 (3). pp. 375-396. ISSN 1551-3440
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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.
| Item Type: | Article |
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| Uncontrolled Keywords: | Bernoulli numbers, Faulhaber’s formula, Multiplication Table; 1302 Curriculum and Pedagogy; 1303 Specialist Studies in Education |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Computer Science and Mathematics |
| Publisher: | University of Montana |
| Related URLs: | |
| SWORD Depositor: | A Symplectic |
| Date Deposited: | 15 Jan 2025 09:47 |
| Last Modified: | 15 Jan 2025 10:00 |
| DOI or ID number: | 10.54870/1551-3440.1675 |
| URI: | https://researchonline.ljmu.ac.uk/id/eprint/25268 |
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