Resumen de Concept of finite limit of a function at a point: meanings and specific terms

José Antonio Fernández-Plaza , Luis Rico Romero , Juan Francisco Ruiz Hidalgo

• In this paper, we present some results of an exploratory study performed with students aged 16-17. We investigate the different uses that these students make of terms such as �to approach�, �to tend�, �to reach�, �to exceed� and �limit� that describe the basic notions related to the concept of the finite limit of a function at a point. We use the interpretive framework of conceptual analysis to infer the meanings that students associate with these specific terms in connection with the effective use of terms in their answers.