Incorrect theorems and proofs: An analysis of pre-service mathematics teachers proof evaluation skills

Resumo

Proof facilitates conceptual and meaningful learning in mathematics education rather than rote memorization. In this study, incorrect theorems and proofs are used to assess secondary school pre-service mathematics teachers’ proof assessing skills. Using the case study method, the study is conducted on pre-service mathematics teachers studying at the Department of Mathematics Education. There were eight pre-service mathematics teachers selected from each grade, resulting in 32 participants in total. A semi-structured proof form containing 13 questions was used to collect data, which was analyzed using content analysis. As the analysis reveals, pre-service mathematics teachers are highly likely to make incorrect decisions regarding theorems and proofs, and the margin of error is unaffected by grade level. Moreover, pre-service mathematics teachers tend to use proving terms incorrectly and, at times, are unable to differentiate between terms that are commonly used in proving. The pre-service mathematics teachers are believed to have learned proofs by rote rather than understanding how proofs work. With the help of interviews and tests created for different proof methods, it has been suggested that pre-service mathematics teachers should be tested on their proof evaluation skills in more detail.

Dados da obra

Tipo

Artigo

Periódico

Journal of Pedagogical Research

Ano

2023 (2023-06-30)

Idioma

en

Palavras-chave

pre-service mathematics teachers; proof assessment; proof understanding; proof techniques; high school mathematics

Temas

Avaliação

DOI

10.33902/jpr.202318840

ISSN

2602-3717

Licença

cc-by

Acesso

Download disponível

Fontes

OpenAlex

Na Biblioteca desde

01/10/2026 · verificada em 03/10/2026