Evolution of Non-Institutional Representations in a Modeling Process of Teaching (ACODESA)

Artigo2026

Fernando Hitt Espinoza ORCID; Samantha Quiroz Rivera ORCID

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Resumo

The purpose of the study is to analyze the process of mathematical knowledge co-construction from a sociocultural perspective. Using a qualitative methodology, we present the results of implementing five research situations and how these results relate to the covariation between variables, this as a prelude to the concept of function. Using a multiple case study design, we present the results for four high school students aged 14 to 15. The results focus on the production process of functional-spontaneous representations and their evolution towards Socially constructed representations. This evolution process is determined by the discussion of ideas across the five stages of the ACODESA method. We also discuss the concept of habitus in the mathematics classroom. The study concludes that Socially constructed representations in mathematics classrooms are both constructed and transformed through a process of communication and objectification of signs or concepts.

Dados da obra

Tipo: Artigo
Periódico: Avances de Investigación en Educación Matemática, n. 29
Editora: Sociedad Española de Investigación en Educación Matemática
Ano: 2026
Idioma: en
Palavras-chave: Conceptual Imagery; Mathematical model; Teaching method; Social learning; Secondary education
DOI: 10.35763/aiem29.6690
ISSN: 2254-4313
Acesso: Acesso aberto
Fontes: DOAJ — Directory of Open Access Journals
Na Biblioteca desde: 01/10/2026 · verificada em 03/10/2026

Como citar

ABNT
ESPINOZA, Fernando Hitt; RIVERA, Samantha Quiroz. Evolution of Non-Institutional Representations in a Modeling Process of Teaching (ACODESA). Avances de Investigación en Educación Matemática, n. 29, 2026. DOI: https://doi.org/10.35763/aiem29.6690.

APA

Espinoza, F. H., & Rivera, S. Q. (2026). Evolution of Non-Institutional Representations in a Modeling Process of Teaching (ACODESA). Avances de Investigación en Educación Matemática. https://doi.org/10.35763/aiem29.6690

BibTeX

@article{espinoza2026,
  author = {Espinoza, Fernando Hitt and Rivera, Samantha Quiroz},
  title = {Evolution of Non-Institutional Representations in a Modeling Process of Teaching (ACODESA)},
  year = {2026},
  journal = {Avances de Investigación en Educación Matemática},
  number = {29},
  publisher = {Sociedad Española de Investigación en Educación Matemática},
  doi = {10.35763/aiem29.6690},
  language = {en}
}

RIS

TY  - JOUR
AU  - Espinoza, Fernando Hitt
AU  - Rivera, Samantha Quiroz
TI  - Evolution of Non-Institutional Representations in a Modeling Process of Teaching (ACODESA)
PY  - 2026
JO  - Avances de Investigación en Educación Matemática
IS  - 29
DO  - 10.35763/aiem29.6690
LA  - en
ER  -

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