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@article{faucris.317619549,
abstract = {Abstract algebra is an important part of mathematics teacher education
as it provides the rigorous mathematical foundations for many
mathematics topics covered in school classrooms. Throughout their
academic career, many secondary mathematics teachers even enroll in more
advanced algebra courses, which often culminate in Galois theory.
However, very little is known about educational aspects of Galois theory
and respective mathematics education research is scarce. We contribute
to closing this gap by reporting on the results of an exploratory
questionnaire study with a sample of n=39 pre-service mathematics
teachers, inquiring about the raison d’être of incorporating Galois
theory into teacher education: Is Galois theory viewed as useful for
their later profession and which connections are drawn to the secondary
mathematics classroom? On the one hand, the results of our study
indicate that a vast majority of pre-service teachers do not perceive
studying Galois theory as meaningful and struggle to exemplify
connections between Galois theory and secondary school mathematics. On
the other hand, a small share of the participants experienced Galois
theory as an important part of mathematics that elegantly connects a
variety of algebraic and geometric notions.},
author = {Bitzenbauer, Philipp and Veith, Joaquin Marc and Girnat, Boris and Winkler, Bianca and Becker, Eleonore and Becher, Richard},
doi = {10.29333/ejmste/14120},
faupublication = {yes},
journal = {Eurasia Journal of Mathematics, Science and Technology Education},
month = {Jan},
peerreviewed = {Yes},
title = {{How} do pre-service teachers view {Galois} theory? {A} questionnaire study},
volume = {20},
year = {2024}
}