Abstract

STELZER, Florencia et al. Relationships between conceptual and procedural knowledge in fractions learning. Cuad. Investig. Educ. [online]. 2016, vol.7, n.1, pp.13-27. ISSN 1510-2432.

The aim of this study was to analyze the relationship between conceptual knowledge and procedural knowledge of fractions during learning. For this propose, a literature search was conducted in the databases of ERIC, PsycINFO, Scielo and Redalyc, using the following terms in English and their equivalent word in Spanish: Fractions (fracciones), conceptual knowledge (conocimiento conceptual), procedural knowledge (conocimiento procedimental) and children (niños). The terms were combined in different ways using the Boolean operator AND. The results of this search produced fifteen empirical articles that can be classified into four research groups: those that indicate a bidirectional relationship, those that suggest unidirectional relationship, those that showed some independence or restrictions on their relationship and those stating that relationships vary according to subjects. This lack of agreement could be explained by some methodological differences among studies, for example, differences in the consolidation degree of fraction knowledge of the participants, the conceptual sense or procedural ability studied, the type of mathematical education received, etc. Therefore, so as to deepen the understanding of the relationship between conceptual and procedural knowledge of fractions, we suggest that such methodological aspects should be controlled.

Keywords : mathematical learning; fractions; conceptual knowledge; procedural knowledge; children.

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