Towards understanding the error analysis thinking of prospective mathematics teachers

Artigo2025

Zoltán Paulovics ORCID; Csaba Csapodi ORCID

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Resumo

High school teachers often encounter incorrect solutions from students, especially when teaching combinatorics. This study investigates the ability of prospective mathematics teachers to assess the correctness of solutions to combinatorial problems and to falsify incorrect ones. 39 second-year prospective teachers participated in the experiment, analysing both correct and incorrect solutions to combinatorial tasks. They were asked not only to judge the correctness but also to identify the cause of procedural or conceptual errors. The results indicate that for incorrect solutions, 44.16% of the error identifications were accurate, and only 36.36% of cases could be successfully falsified. Furthermore, when evaluating correct solutions, 57.1% of the correct solutions were mistakenly judged as incorrect. Overall, 31 out of the 39 participants were unable to accurately determine the correctness of the solutions, despite their advanced mathematical background. These findings highlight the need to foster error-detection skills and thorough reasoning in teacher training programs.

Dados da obra

Tipo
Artigo
Periódico
International Electronic Journal of Mathematics Education, v. 20, n. 4, p. em0848
Ano
2025 (2025-07-29)
Palavras-chave
error analysis; pre-service mathematics teachers; combinatorics; error identification; teacher professional development
Temas
Formação de Professores de Matemática, Probabilidade
DOI
10.29333/iejme/16678
ISSN
1306-3030
Acesso
Acesso aberto
Fontes
OpenAlex
Na Biblioteca desde
01/10/2026 · verificada em 03/10/2026

Como citar

ABNT
PAULOVICS, Zoltán; CSAPODI, Csaba. Towards understanding the error analysis thinking of prospective mathematics teachers. International Electronic Journal of Mathematics Education, v. 20, n. 4, p. em0848, 2025. DOI: https://doi.org/10.29333/iejme/16678.

APA

Paulovics, Z., & Csapodi, C. (2025). Towards understanding the error analysis thinking of prospective mathematics teachers. International Electronic Journal of Mathematics Education, 20(4), em0848. https://doi.org/10.29333/iejme/16678

BibTeX
@article{paulovics2025,
  author = {Paulovics, Zoltán and Csapodi, Csaba},
  title = {Towards understanding the error analysis thinking of prospective mathematics teachers},
  year = {2025},
  journal = {International Electronic Journal of Mathematics Education},
  volume = {20},
  number = {4},
  pages = {em0848},
  doi = {10.29333/iejme/16678}
}
RIS
TY  - JOUR
AU  - Paulovics, Zoltán
AU  - Csapodi, Csaba
TI  - Towards understanding the error analysis thinking of prospective mathematics teachers
PY  - 2025
JO  - International Electronic Journal of Mathematics Education
VL  - 20
IS  - 4
SP  - em0848
DO  - 10.29333/iejme/16678
ER  - 

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

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