On a Typology of Errors in Integral Calculus in Secondary School Related to Algebraic and Graphical Frames

Artigo2024

Anass El Guenyari; Mohamed Chergui; Bouazza El Wahbi

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Resumo

The present study falls into the efforts to improve practices for addressing errors produced by learners in various situations involving the calculation of integrals. We attempt to clarify as precisely as possible the types of errors that secondary school students produce when using integrals in algebraic and graphical frames. Based on the synthesis of several works dealing with errors specific to integral calculus, we have been able to outline a typology of possible errors that can be produced by students in secondary school. We determine some subcategories for the three known categories of errors: conceptual, procedural, and technical. After administering a test to a random sample of secondary school students and conducting a principal component analysis, we were able to deduce that in the algebraic frame, certain conceptual and procedural subcategories dominate, with a notable advance for errors due to failure to recognize the integrand function. In the graphical frame, errors related to technical subcategories represent a major source of the erroneous productions of the students tested.

Dados da obra

Tipo
Artigo
Periódico
Mathematics Teaching Research Journal
Ano
2024
Idioma
en
Palavras-chave
Calculus; Error Patterns; Factor Analysis; Mathematics Instruction; Taxonomy; Mathematics Tests; Secondary School Students; Mathematical Concepts; Concept Formation; Foreign Countries
Temas
Álgebra, Cálculo
Acesso
Download disponível
Fontes
ERIC — Education Resources Information Center
Na Biblioteca desde
01/10/2026 · verificada em 03/10/2026

Como citar

ABNT
GUENYARI, Anass El; CHERGUI, Mohamed; WAHBI, Bouazza El. On a Typology of Errors in Integral Calculus in Secondary School Related to Algebraic and Graphical Frames. Mathematics Teaching Research Journal, 2024. Disponível em: https://eric.ed.gov/?id=EJ1427391. Acesso em: 5 nov. 2026.

APA

Guenyari, A. E., Chergui, M., & Wahbi, B. E. (2024). On a Typology of Errors in Integral Calculus in Secondary School Related to Algebraic and Graphical Frames. Mathematics Teaching Research Journal. https://eric.ed.gov/?id=EJ1427391

BibTeX
@article{guenyari2024,
  author = {Guenyari, Anass El and Chergui, Mohamed and Wahbi, Bouazza El},
  title = {On a Typology of Errors in Integral Calculus in Secondary School Related to Algebraic and Graphical Frames},
  year = {2024},
  journal = {Mathematics Teaching Research Journal},
  url = {https://eric.ed.gov/?id=EJ1427391},
  language = {en}
}
RIS
TY  - JOUR
AU  - Guenyari, Anass El
AU  - Chergui, Mohamed
AU  - Wahbi, Bouazza El
TI  - On a Typology of Errors in Integral Calculus in Secondary School Related to Algebraic and Graphical Frames
PY  - 2024
JO  - Mathematics Teaching Research Journal
UR  - https://eric.ed.gov/?id=EJ1427391
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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