Meaning of the part-whole relation and the concept of fraction for primary teachers
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2012
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The part-whole relation is complex and raises questions that affect different disciplines. Researchers have proposed different interpretations of the notions of fraction and rational number (e.g., Behr, Lesh, Post & Silver, 1983; Kieren, 1976). We highlight three kinds of relations in the study of rational numbers¿the part whole-relation, the part-part relation, and the functional relation¿through which we organize the different subconstructs of rational number. We claim that the meaning of fractions should be understood through three components: their mathematical structure, their representations and their senses.
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Castro-Rodríguez, Elena; Rico, Luis; Gómez, Pedro (2012). Meaning of the part-whole relation and the concept of fraction for primary teachers. En Tso, Y. T. (Ed.), Proceedings of the 36th Conference of the International Group for the Psychology of Mathema