Resumen

GALLARDO ROMERO, Jesús  y  QUINTANILLA BATALLANOS, Verónica Aurora. The hermeneutic circle of understanding in mathematics: an integrative proposal for the evaluation in the classroom. Relime [online]. 2019, vol.22, n.1, pp.97-122.  Epub 23-Abr-2021. ISSN 2007-6819.  https://doi.org/10.12802/relime.19.2214.

The mathematical activity in school takes place in interpretive complex environments which they are conditioned by the understanding of its protagonists. To clarify the processes involved in such environments, in this work we explore different principal issues related to the interpretation of the understanding in mathematics. In this path, we find the reasons to suggest an integrative proposal to access from an operative way to the mathematical understanding of the students. We support this proposal by setting the theoretical and methodological bases of what we call the hermeneutic circle of understanding in mathematics. We also show the methodological potential of this interpretative circle, by applying it in a case study in the field of the divisibility of the natural numbers. In this episode, we obtain favourable results to recognize that the hermeneutic circle can be useful in practice to clarify the understanding involved in the mathematical activity of the students.

Palabras llave : Understanding; Divisibility; Assessment; Interpretation; Number thinking.

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