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The Story of a "Theorem": From Mistakes to New Mathematics

Artigo2025

Michael Aristidou

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Resumo

In this article, we look at the exploratory aspects of student projects. We discuss a specific project from a course on quaternions and see how incorrect theorems, student omissions, etc., led to some new mathematical results. In particularly, the fact that H/Zₚ was not just another division algebra but simply a ring with zero-divisors opened new questions to be explored, such as finding non-trivial idempotents, tripotents, and exploring extensions to larger rings such as O/Zₚ. This serves as a reminder that student projects occasionally could also have academic benefits for the students or the instructors. These are outcomes that could enhance the students' or the instructors' academic and professional development.

Dados da obra

Tipo
Artigo
Periódico
Mathematics Teaching Research Journal
Ano
2025
Idioma
en
Palavras-chave
Student Projects; Numbers; College Mathematics; College Students; Algebra; Mathematics Instruction
Temas
Álgebra, Formação de Professores de Matemática
Acesso
Download disponível
Fontes
ERIC — Education Resources Information Center
Na Biblioteca desde
01/10/2026 · verificada em 03/10/2026

Como citar

ABNT
ARISTIDOU, Michael. The Story of a "Theorem": From Mistakes to New Mathematics. Mathematics Teaching Research Journal, 2025. Disponível em: https://eric.ed.gov/?id=EJ1507683. Acesso em: 5 nov. 2026.

APA

Aristidou, M. (2025). The Story of a "Theorem": From Mistakes to New Mathematics. Mathematics Teaching Research Journal. https://eric.ed.gov/?id=EJ1507683

BibTeX
@article{aristidou2025,
  author = {Aristidou, Michael},
  title = {The Story of a "Theorem": From Mistakes to New Mathematics},
  year = {2025},
  journal = {Mathematics Teaching Research Journal},
  url = {https://eric.ed.gov/?id=EJ1507683},
  language = {en}
}
RIS
TY  - JOUR
AU  - Aristidou, Michael
TI  - The Story of a "Theorem": From Mistakes to New Mathematics
PY  - 2025
JO  - Mathematics Teaching Research Journal
UR  - https://eric.ed.gov/?id=EJ1507683
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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