THE TEACHING OF MATHEMATICS

THE TEACHING OF MATHEMATICS
Teaching abstract algebra through programming
Natalia Saealle and Lauri Tart and Indrek Zolk

Abstract

This note presents some programming exercise examples usable in a first course of abstract algebra. The topics include detecting properties of an algebraic operation in a finite set, implementing the Euclidean algorithm in different Euclidean rings, long division of polynomials over a finite field, finding all low-degree irreducible polynomials over a finite field.

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Keywords: Teaching math through coding; algebraic operations; Euclidean rings; Polynomials over a field.

Pages:  53$-$59     

Volume  XXV ,  Issue  1 ,  2022