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Tracing proof schemes: some patterns and newperspectives

Artigo2022

Yasemin Yılmaz Akkurt; Soner Durmuş

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Resumo

The aim of this paper is to review some studies conducted withdifferentlearning areas in which the schemes of different participants emerge. Alsoit is about to show how mathematical proofs are handled in these studiesby considering Harel and Sowder's classification of proof schemes withspecific examples. As a result, it was seen that the examined studies wereaddressed in the learning areas of Analysis, Geometry, Algebra, LinearAlgebra, Elementary Number Theory, Probability, Combinatorics, andMIX. Students in early grades tend more towards external and empirical proof schemes. On the other hand, the characteristics of theproof schemes become more sophisticated as the participants' profiles changeto pre-service teachers or as they become more specializinginmathematics. Some results are as follows: the academic achievementlevels, genders, and grade levels of the participants in the studiesexamined in this paper have indicated that they have similar traces withthe schemes they use. In addition, it has been determined that newperspectives such as examining Harel and Sowder's classificationwithnew lenses, revealing the overlooked roles of some dynamics inproof, orimproving the framework provide an important research area intermsof revealing students' potentials.

Dados da obra

Tipo
Artigo
Periódico
Journal of Research and Advances in Mathematics Education, p. 1-16
Editora
Universitas Muhammadiyah Surakarta
Ano
2022 (2022-01)
Idioma
en
Palavras-chave
proof; proving process; proof schemes; learning areas
Temas
Álgebra, Geometria, Probabilidade
DOI
10.23917/jramathedu.v7i1.15740
ISSN
2503-3697
Acesso
Acesso aberto
Fontes
DOAJ — Directory of Open Access Journals
Na Biblioteca desde
01/10/2026 · verificada em 03/10/2026

Como citar

ABNT
AKKURT, Yasemin Yılmaz; DURMUŞ, Soner. Tracing proof schemes: some patterns and newperspectives. Journal of Research and Advances in Mathematics Education, p. 1-16, 2022. DOI: https://doi.org/10.23917/jramathedu.v7i1.15740.

APA

Akkurt, Y. Y., & Durmuş, S. (2022). Tracing proof schemes: some patterns and newperspectives. Journal of Research and Advances in Mathematics Education, 1-16. https://doi.org/10.23917/jramathedu.v7i1.15740

BibTeX
@article{akkurt2022,
  author = {Akkurt, Yasemin Yılmaz and Durmuş, Soner},
  title = {Tracing proof schemes: some patterns and newperspectives},
  year = {2022},
  journal = {Journal of Research and Advances in Mathematics Education},
  pages = {1-16},
  publisher = {Universitas Muhammadiyah Surakarta},
  doi = {10.23917/jramathedu.v7i1.15740},
  language = {en}
}
RIS
TY  - JOUR
AU  - Akkurt, Yasemin Yılmaz
AU  - Durmuş, Soner
TI  - Tracing proof schemes: some patterns and newperspectives
PY  - 2022
JO  - Journal of Research and Advances in Mathematics Education
SP  - 1
EP  - 16
DO  - 10.23917/jramathedu.v7i1.15740
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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