Epistemological study of standard deviation

Authors

  • Khadidiatou Gueye Cheikh Anta Diop University of Dakar - Sénégal
  • Moustapha Sokhna Cheikh Anta Diop University of Dakar - Senegal
  • Sounkharou Diarra Cheikh Anta Diop University of Dakar - Senegal

DOI:

https://doi.org/10.23925/1983-3156.2024v26i1p523-538

Keywords:

Standard deviation, Epistemological study, Interpretation, Statistics

Abstract

Since ancient times, mathematics has displayed a high level of creativity and impressive dynamism. However, in teaching/learning programs, they appear as relics to be displayed within the walls of the school. To break with this archaism, Statistics has emerged as the part of mathematics that can shed light on its dynamism and societal roots. Here, too, computational, and theoretical aspects have left little room for a clear understanding of the concepts studied. The aim of this article is to show, through the epistemological study of the notion of standard deviation, how the study of the evolution of concepts can help us understand their meaning and serve as a resource for their teaching.

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Author Biographies

Khadidiatou Gueye, Cheikh Anta Diop University of Dakar - Sénégal

PHD in Didactics of Mathematics

Moustapha Sokhna, Cheikh Anta Diop University of Dakar - Senegal

PhD in Science Education

Sounkharou Diarra, Cheikh Anta Diop University of Dakar - Senegal

PhD in Didactics of Mathematics

References

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Dorier, J. (1997). Recherches en Histoire et en Didactique des mathématiques sur l'Algèbre linéaire—Perspective théorique sur leurs interactions. domain_other. Université Joseph-Fourier. - Grenoble I, ⟨tel-00338400⟩. https://theses.hal.science/tel-00338400

Droesbeke, J.-J., & Tassi, P. (1990). Histoire de la Statistique (éd. 2e édition). Paris: Les Éditions de la Chenelière inc.

Fourez, G. et Larochelle, M. (2002). Apprivoiser l’épistémologie. https://doi.org/10.3917/dbu.foure.2002.01

Gauss, C.-F. (1855). Méthode des moindres carrés. Mémoire sur la combinaison des observations. Paris: Traduit par Joseph Bertrand, Mallet-Bachelier.

Noel, G., & Tilleuil, P. (2005). D'où sort la méthode des moindres carrés? Mathématiques et Pédagogie(151), 17-44.

Published

2024-04-30

How to Cite

GUEYE, K.; SOKHNA, M.; DIARRA, S. Epistemological study of standard deviation. Educação Matemática Pesquisa, São Paulo, v. 26, n. 1, p. 523–538, 2024. DOI: 10.23925/1983-3156.2024v26i1p523-538. Disponível em: https://revistas.pucsp.br/index.php/emp/article/view/66234. Acesso em: 22 nov. 2024.