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Layers of Generality and Types of Generalization in Pattern Activities

  • Autores: Luis Radford Árbol académico
  • Localización: PNA: Revista de investigación en didáctica de la matemática, ISSN-e 1887-3987, Vol. 4, Nº. 2, 2010, págs. 37-62
  • Idioma: español
  • Enlaces
  • Resumen

    • Pattern generalization is considered one of the prominent routes for introducing students to algebra. However, not all generalizations are algebraic. In the use of pattern generalization as a route to algebra, we �teachers and educators� thus have to remain vigilant in order not to confound algebraic generalizations with other forms of dealing with the general. But how to distinguish between algebraic and non-algebraic generalizations? On epistemological and semiotic grounds, in this article I suggest a characterization of algebraic generalizations. This characterization helps to bring about a typology of algebraic and arithmetic generalizations. The typology is illustrated with classroom examples.

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