Resumen

PINO-FAN, Luis R; CASTRO, Walter F; GODINO, Juan D  y  FONT, Vicenç. Epistemic suitability of the derivative meaning in the high school curriculum. Paradígma [online]. 2013, vol.34, n.2, pp.129-150. ISSN 1011-2251.

In this paper we report a synthesis of a reconstruction of the derivative holistic meaning carry out using some theoretical notions of the onto-semiotic approach. We characterize the intended high school curricular meaning about the derivative, based on the mathematical practices proposed in both the core curriculum and in the textbooks. The comparison between the global and curricular meanings allows assessing the “epistemic suitability of curricular meaning”, intended for the high school curriculum. The methodology of the didactical analysis, applied to the case of the derivative in the Mexican curriculum and textbook can be extended to other contents and contexts. The information provided may be useful for high school mathematics teacher because we reveal some biases in the meanings of the derivative privileged by the curriculum that could be avoided to improve the teaching of the derivative.

Palabras clave : derivative; holistic meaning; mathematics curriculum; teacher knowledge; onto-semiotic approach.

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