A Hypothesis Framework for Students' Difficulties with Proof by Contradiction

Artigo2022

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Resumo

In mathematics education, the research on proof by contradiction (PBC) often claims that this activity is more difficult for students than direct proof, or simply difficult in general. Many hypotheses have been offered to support or explain this belief, yet they span a disorientingly wide swath of journal articles, conference papers, dissertations, book chapters, etc. In addition, few attempts have been made to organize these hypotheses or carefully test them. In this paper, we conduct a thorough literature review on PBC, organize existing hypotheses about challenges with PBC into a Hypothesis Framework for (Students' Difficulty with) Proof By Contradiction (HFPBC), discuss the state of research related to each hypothesis, and offer thoughts on the future study of these hypotheses.

Dados da obra

Tipo: Artigo
Periódico: International Journal of Research in Undergraduate Mathematics Education
Ano: 2022
Idioma: en
Palavras-chave: Mathematics Education; Mathematical Logic; Validity; Difficulty Level; Literature Reviews; College Students
ISSN: 2198-9745
Acesso: Metadados apenas
Fontes: ERIC — Education Resources Information Center
Na Biblioteca desde: 01/10/2026 · verificada em 03/10/2026

Como citar

ABNT
QUARFOOT, David; RABIN, Jeffrey M.. A Hypothesis Framework for Students' Difficulties with Proof by Contradiction. International Journal of Research in Undergraduate Mathematics Education, 2022. Disponível em: http://dx.doi.org/10.1007/s40753-021-00150-z. Acesso em: 5 nov. 2026.

APA

Quarfoot, D., & Rabin, J. M. (2022). A Hypothesis Framework for Students' Difficulties with Proof by Contradiction. International Journal of Research in Undergraduate Mathematics Education. http://dx.doi.org/10.1007/s40753-021-00150-z

BibTeX

@article{quarfoot2022,
  author = {Quarfoot, David and Rabin, Jeffrey M.},
  title = {A Hypothesis Framework for Students' Difficulties with Proof by Contradiction},
  year = {2022},
  journal = {International Journal of Research in Undergraduate Mathematics Education},
  url = {http://dx.doi.org/10.1007/s40753-021-00150-z},
  language = {en}
}

RIS

TY  - JOUR
AU  - Quarfoot, David
AU  - Rabin, Jeffrey M.
TI  - A Hypothesis Framework for Students' Difficulties with Proof by Contradiction
PY  - 2022
JO  - International Journal of Research in Undergraduate Mathematics Education
UR  - http://dx.doi.org/10.1007/s40753-021-00150-z
LA  - en
ER  -

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