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A study on pre-service mathematics teachers’ criteria of proof evaluation

Artigo2022

Tuğba ÖZTÜRK ORCID; Bülent Barış Güven ORCID

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Resumo

Proof is foundational to mathematics, and constructing proofs and establishing their validity are both important mathematical studies. Determining the validity of a proof is a part of the process of proof evaluation. Proof evaluation contributes to students’ ability to construct and revise their own proofs. The purpose of this study was to determine the criteria pre-service mathematics teachers take into account in evaluating a proof. The study was carried out with 50 first-year university students enrolled in an elementary mathematics teacher education program. The data were collected through activities relating to proving. The results of this study revealed that, when evaluating a proof, the participants regarded use of appropriate definitions, axioms, or theorems in the steps of the proof as the most important criterion with reference to justification, while in terms of mathematical language; they regarded appropriate use of symbolic language as the most important criterion. However, they tended to ignore situations where non-symbolic language was used. To address this issue, it is recommended that mathematics-learning environments include the use of non-symbolic language, as well as symbolic representations, in the definition of mathematical concepts.

Dados da obra

Tipo
Artigo
Periódico
LUMAT, v. 10, n. 1
Editora
LUMA Centre Finland
Ano
2022 (2022-05-19)
Idioma
en
Palavras-chave
Proof; Proof evaluation; Justification; Mathematical language; pre-service mathematics teachers; proof validity; symbolic language; elementary mathematics teacher education; proof construction
Temas
Formação de Professores de Matemática
DOI
10.31129/lumat.10.1.1649
ISSN
2323-7112
Licença
cc-by
Acesso
Download disponível
Fontes
DOAJ — Directory of Open Access Journals; OpenAlex
Na Biblioteca desde
01/10/2026 · verificada em 03/10/2026

Como citar

ABNT
ÖZTÜRK, Tuğba; GÜVEN, Bülent Barış. A study on pre-service mathematics teachers’ criteria of proof evaluation. LUMAT, v. 10, n. 1, 2022. DOI: https://doi.org/10.31129/lumat.10.1.1649.

APA

ÖZTÜRK, T., & Güven, B. B. (2022). A study on pre-service mathematics teachers’ criteria of proof evaluation. LUMAT, 10(1). https://doi.org/10.31129/lumat.10.1.1649

BibTeX
@article{ozturk2022,
  author = {ÖZTÜRK, Tuğba and Güven, Bülent Barış},
  title = {A study on pre-service mathematics teachers’ criteria of proof evaluation},
  year = {2022},
  journal = {LUMAT},
  volume = {10},
  number = {1},
  publisher = {LUMA Centre Finland},
  doi = {10.31129/lumat.10.1.1649},
  language = {en}
}
RIS
TY  - JOUR
AU  - ÖZTÜRK, Tuğba
AU  - Güven, Bülent Barış
TI  - A study on pre-service mathematics teachers’ criteria of proof evaluation
PY  - 2022
JO  - LUMAT
VL  - 10
IS  - 1
DO  - 10.31129/lumat.10.1.1649
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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