Abstract

SANCHEZ SANTIESTEBAN, José Luis; CRUZ RAMIREZ, Miguel; CABRERA MARTINEZ, Abel  and  SIGARRETA ALMIRA, José María. The meaning of the slope concept from the university perspective. Universidad y Sociedad [online]. 2022, vol.14, n.4, pp. 156-171.  Epub Aug 30, 2022. ISSN 2218-3620.

This research identifies and analyzes the level at which the meanings that university mathematics teachers have about the concept of slope are manifested. In this direction, the identification was based on four types of meanings: analytical, algebraic, geometric, and contextual. For the study, a survey was applied to 15 experts of different nationalities in order to assess the meanings present in the solutions proposed by the teachers. It should be noted that the four types of meanings are evident in the research carried out. The geometric meaning had a greater presence than the other meanings, fundamentally, through representations such as: the geometric ratio, the tangent of the angle of inclination, the ratio between the lengths of the legs of a right triangle formed by the straight line, the x-axis an the parallel to the y-axis.

Keywords : Mathematical meaning; concept of slope; expert criteria; mathematical education; higher mathematics.

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