Epistemological study of standard deviation
DOI:
https://doi.org/10.23925/1983-3156.2024v26i1p523-538Keywords:
Standard deviation, Epistemological study, Interpretation, StatisticsAbstract
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.
References
Armatte, M. (2004). La théorie des erreurs (1750-1820) : enjeux, problématiques, résultats. Dans E. Barbin, & J.-P. Lamarche, Histoires de probabilités et de statistiques (pp. 141-160).
Armatte, M. (2010). Statut de la Dispersion : de l'erreur à la variabilité. Journal électronique d’Histoire des Probabilités et de la Statistique, 6(1).
Bru, B. (2006). La courbe de Gauss ou le théorème de Bernouilli raconté aux enfants. Math. Sci. hum, Mathematics and Social Sciences(175), 5-23.
Dodge, Y. (2010). Statistique. Dictionnaire encyclopédique. Paris, France: Springer-Verlag.
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.
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