Comparison as a Social Practice in the Analysis of Chaotic Phenomena: The Case of the Double Pendulum

Artigo2024

Jesús E. Hernández-Zavaleta; Armando Paulino Preciado Babb; Ricardo Cantoral

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Resumo

While scholars have proposed incorporating the study of complex phenomena such as chaotic systems in high school and undergraduate-level curricula, the literature on this topic is scant and has focused mostly on the analysis of mathematical models--and often only on certain populations, such as gifted students. We report in this manuscript an exploratory study involving 16 high school students engaged in a task-based interview. Consistent with the socio-epistemological theory in mathematics education, the task was informed by an analysis of the social practices around the historical development of the study of chaotic phenomena. An analysis of students' descriptions and justifications revealed key features of "comparison" as a mathematical type of practice involved in the study of chaotic behavior, which differs from common school mathematical practices. We conclude with implications relevant to socio-epistemological theory in mathematics education and suggestions to incorporate the study of chaotic phenomena and dynamic systems in formal education.

Dados da obra

Tipo: Artigo
Periódico: International Journal of Science and Mathematics Education
Ano: 2024
Idioma: en
Palavras-chave: High School Students; Mathematics Education; Task Analysis; Knowledge Level; Social Influences; Student Participation
ISSN: 1571-0068
Acesso: Metadados apenas
Fontes: ERIC — Education Resources Information Center
Na Biblioteca desde: 01/10/2026 · verificada em 03/10/2026

Como citar

ABNT
HERNÁNDEZ-ZAVALETA, Jesús E.; BABB, Armando Paulino Preciado; CANTORAL, Ricardo. Comparison as a Social Practice in the Analysis of Chaotic Phenomena: The Case of the Double Pendulum. International Journal of Science and Mathematics Education, 2024. Disponível em: http://dx.doi.org/10.1007/s10763-023-10363-0. Acesso em: 5 nov. 2026.

APA

Hernández-Zavaleta, J. E., Babb, A. P. P., & Cantoral, R. (2024). Comparison as a Social Practice in the Analysis of Chaotic Phenomena: The Case of the Double Pendulum. International Journal of Science and Mathematics Education. http://dx.doi.org/10.1007/s10763-023-10363-0

BibTeX

@article{hernandezzavaleta2024,
  author = {Hernández-Zavaleta, Jesús E. and Babb, Armando Paulino Preciado and Cantoral, Ricardo},
  title = {Comparison as a Social Practice in the Analysis of Chaotic Phenomena: The Case of the Double Pendulum},
  year = {2024},
  journal = {International Journal of Science and Mathematics Education},
  url = {http://dx.doi.org/10.1007/s10763-023-10363-0},
  language = {en}
}

RIS

TY  - JOUR
AU  - Hernández-Zavaleta, Jesús E.
AU  - Babb, Armando Paulino Preciado
AU  - Cantoral, Ricardo
TI  - Comparison as a Social Practice in the Analysis of Chaotic Phenomena: The Case of the Double Pendulum
PY  - 2024
JO  - International Journal of Science and Mathematics Education
UR  - http://dx.doi.org/10.1007/s10763-023-10363-0
LA  - en
ER  -

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