Abstract

RECALDE, Luis Cornelio  and  HENAO, Sara Marcela. EPISTEMOLOGICAL OBSTACLES IN THE HISTORICAL DEVELOPMENT OF ORDINARY DIFFERENTIAL EQUATIONS. Rev.EIA.Esc.Ing.Antioq [online]. 2018, vol.15, n.29, pp.59-70. ISSN 1794-1237.  https://doi.org/10.24050/reia.v15i29.1140.

The proposite of this article is to present some historical and epistemological reflections that emerge as a result of a research developed around the historical constitution of the ordinary differential equations. As units of analysis were taken the volume 22 of the Opera Omnia and Acta Eruditorum, between the end of the 17th century and the mid-eighteenth century. It is shown that ordinary differential equations arise as a product of two events; The first related to some problems of physics that were modeled by ordinary differential equations, and the second related to the various analytical methods derived from the calculation. The historical analysis, made it possible to identify some epistemological obstacles, which were taken as reference for conclude with a didactic reflection.

Keywords : Ordinary differential equations; history; epistemological obstacle; calculation.

        · abstract in Spanish | Portuguese     · text in Spanish     · Spanish ( pdf )