Analysis and comparison of students' conceptual understanding of symmetry arguments in Gauss's and Ampere's laws
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Fecha
2023-01
Profesor/a Guía
Facultad/escuela
Idioma
en
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Editor
American Physical Society
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Licencia CC
Attribution 4.0 International Deed (CC BY 4.0)
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https://creativecommons.org/licenses/by/4.0/
Resumen
Identifying students' difficulties in understanding Gauss's and Ampere's laws is important for developing educational strategies that promote an expertlike understanding of the field concept and Maxwell's equations of electromagnetic phenomena. This study aims to analyze and compare students' understanding of symmetry when applying Gauss's and Ampere's laws to calculate the electric or magnetic field. We conducted a study to analyze how students reason regarding the symmetry conditions necessary to apply Gauss's or Ampere's laws to calculate the electric or magnetic field in three inverse problems. We applied two open-ended questionnaires with parallel surface features, one for Gauss's law and the other for Ampere's law, to 322 engineering students. The three inverse problems present different scenarios with the common characteristic that there is no sufficient symmetry to solve the electric or magnetic field from its corresponding equation. We analyzed students' answers with a phenomenographic approach, focusing on students' answers to a yes or no question and their reasoning. The main findings of the study are the descriptive categories of understanding and the comparison of the categories between contexts (outcome space). The correct reasoning is identifying the necessary symmetry to apply Gauss's or Ampere's law. The other categories refer to the surface features of each scenario to explain students' answers, applying Gauss's or Ampere's law in an oversimplified way and thinking that it would be possible but more complicated in these scenarios. The descriptive categories are related to some of the difficulties previously reported in the literature with standard problems involving Gauss's and Ampere's laws. However, inverse problems elicited variations in the types of reasoning related to the surface features of the scenarios and their parallel representations. The comparative analysis between the electricity and magnetism contexts allowed for identifying that analyzing currents can be more challenging for students than analyzing point charges. This study's findings can guide introductory and intermediate electricity and magnetism instructors to redirect their approach to Gauss's and Ampere's laws by introducing the analysis of inverse problems. © 2023 authors. Published by the American Physical Society.
Notas
Indexación: Scopus
Palabras clave
Conceptual understanding, Gauss’s and Ampere’s laws, Educational Strategies, Students’, Engineering Students, Symmetry Arguments
Citación
Physical Review Physics Education Research. Volume 19, Issue 1. January 2023. Article number 010103
DOI
10.1103/PhysRevPhysEducRes.19.010103