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Two Challenging Concepts in Mathematics Education: Subject-Specific Thoughts on the Complex Unit and Angles

Artigo2021

Joaquin Marc Veith ORCID; Philipp Bitzenbauer ORCID

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Resumo

In this paper, we focus on two particularly problematic concepts in teaching mathematics: the complex unit i and angles. These concepts are naturally linked via De Moivre's theorem but are independently misused in numerous contexts. We present definitions, notations, and ways of speaking about these terms from mathematics education that are not valid from a subject-specific point of view. We justify how these incorrectly used definitions, notations, and ways of speaking convey a false picture of the mathematical content and present options for introducing these concepts in classroom practice in a correct way.

Dados da obra

Tipo
Artigo
Periódico
European Journal of Science and Mathematics Education, v. 9, n. 4, p. 244-251
Ano
2021 (2021-10-05)
Idioma
en
Palavras-chave
Geometric Concepts; Number Concepts; Algebra; Concept Formation; Misconceptions; Difficulty Level; College Mathematics; Mathematics Education; Undergraduate Students; imaginary unit i; complex numbers; angles; De Moivre's theorem; mathematical definitions; mathematical notation
Temas
Álgebra, Geometria, Práticas Pedagógicas
DOI
10.30935/scimath/11251
ISSN
2301-251X
Licença
cc-by
Acesso
Download disponível
Fontes
ERIC — Education Resources Information Center; OpenAlex
Na Biblioteca desde
01/10/2026 · verificada em 03/10/2026

Como citar

ABNT
VEITH, Joaquin Marc; BITZENBAUER, Philipp. Two Challenging Concepts in Mathematics Education: Subject-Specific Thoughts on the Complex Unit and Angles. European Journal of Science and Mathematics Education, v. 9, n. 4, p. 244-251, 2021. DOI: https://doi.org/10.30935/scimath/11251.

APA

Veith, J. M., & Bitzenbauer, P. (2021). Two Challenging Concepts in Mathematics Education: Subject-Specific Thoughts on the Complex Unit and Angles. European Journal of Science and Mathematics Education, 9(4), 244-251. https://doi.org/10.30935/scimath/11251

BibTeX
@article{veith2021,
  author = {Veith, Joaquin Marc and Bitzenbauer, Philipp},
  title = {Two Challenging Concepts in Mathematics Education: Subject-Specific Thoughts on the Complex Unit and Angles},
  year = {2021},
  journal = {European Journal of Science and Mathematics Education},
  volume = {9},
  number = {4},
  pages = {244-251},
  doi = {10.30935/scimath/11251},
  language = {en}
}
RIS
TY  - JOUR
AU  - Veith, Joaquin Marc
AU  - Bitzenbauer, Philipp
TI  - Two Challenging Concepts in Mathematics Education: Subject-Specific Thoughts on the Complex Unit and Angles
PY  - 2021
JO  - European Journal of Science and Mathematics Education
VL  - 9
IS  - 4
SP  - 244
EP  - 251
DO  - 10.30935/scimath/11251
LA  - en
ER  -

Referência gerada automaticamente a partir dos metadados das fontes; confira com o documento original. Baixar BibTeX · Baixar RIS

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