Resumo

LOPEZ-ACOSTA, Luis Alberto; APARICIO LANDA, Eddie de Jesús  e  SOSA MOGUEL, Landy Elena. Procedures of high school graduates when solving an analytic geometry problema. Educ. mat. [online]. 2024, vol.36, n.1, pp.90-118.  Epub 08-Nov-2024. ISSN 2448-8089.  https://doi.org/10.24844/em3601.04.

Abstract: We report the procedures that high school graduates show when they solve a not typically school analytic geometry problem related to the geometric locus of ellipse. The study was conducted with 95 students (55 males and 40 females) who participated in an institutional contest of high school mathematical knowledge. The data were analyzed using the thematic analysis method to obtain categories of common elements and to distinguish resolution patterns in terms of procedures. The categories obtained were analyzed in relation to the establishment of geometric relations, the construction of a semiotic reference system and the construction of the formula of an ellipse. These considerations derive from previous historical-epistemological studies as a theoretical support. The results suggest a lack of knowledge of the participants about the process of construction of the ellipse, particularly, and in general, a lack of connection between conceptual and procedural knowledge of analytic geometric learned at school.

Palavras-chave : analytic geometry; student procedures; geometric locus; baccalaure-ate; historical epistemology; high school graduates.

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