Sheaves in Elementary Mathematics: The case of positive integer numbers

TL;DR

This paper explores using sheaf theory to connect elementary mathematics with advanced mathematical ideas, aiming to enhance students' understanding by providing a deeper conceptual framework.

Contribution

It introduces a novel approach applying sheaf theory to elementary number theory, bridging simple concepts with modern mathematical structures.

Findings

Sheaf-theoretic framework links elementary integers to advanced concepts.

Potential for improved mathematical education through deeper conceptual understanding.

Establishes foundational ideas for further research in mathematical pedagogy.

Abstract

We aim to use the concept of sheaf to establish a link between certain aspects of the set of positive integers numbers, a topic corresponding to the elementary mathematics, and some fundamental ideas of contemporary mathematics. We hope that this type of approach helps the school students to restate some problems of elementary mathematics in an environment deeper and suitable for its study.