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Establecimiento de analogías durante el planteo de problemas matemáticos: reflexiones para el contexto escolar

  • Autores: Osvaldo Rojas Velázquez, Miguel Cruz Ramírez, Beatriz Avelina Villarraga Baquero
  • Localización: Unión: revista iberoamericana de educación matemática, ISSN-e 1815-0640, Nº. 59, 2020, págs. 180-203
  • Idioma: español
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  • Resumen
    • español

      Este estudio imbrica dos aspectos importantes que caracterizan el pensamiento matemático: el planteo de nuevos problemas y el uso de analogías. Se parte de una estrategia que explica el proceso de planteo de problemas, estructurada por seis etapas que se interconectan en el plano cognitivo. Mediante un análisis epistémico se explora la naturaleza y la forma en que se establecen analogías durante el proceso de planteo de problemas matemáticos nuevos e interesantes. Los elementos teóricos se ejemplifican con ayuda de paquetes computacionales, y luego se reflexiona acerca de la incidencia del planteo de problemas matemáticos y del razonamiento analógico en el contexto escolar.

    • English

      This study involves two important aspects that characterize mathematical thinking: posing new problems and using analogies. It is based on a strategy that explains the mathematical problems posing process, structured by six stages that are interconnected in the cognitive plane. Through an epistemic analysis we explore the nature and the way in which analogies are established during the process of posing new and interesting mathematical problems. The theoretical elements are exemplified with the help of computer packages, and then it thinks over the incidence of mathematical problem posing and analogical reasoning in the school context.

    • português

      Este estudo envolve dois aspectos importantes que caracterizam o pensamento matemático: a formulação de novos problemas e o uso de analogias. Baseia-se numa estratégia que explica o processo de formulação de problemas, estruturado por seis etapas interligadas no plano cognitivo. Por meio de uma análise epistêmica são explorados a natureza e o modo como as analogias são estabelecidas durante o processo de apresentar problemas matemáticos novos e interessantes. Os elementos teóricos são exemplificados com o auxílio de pacotes computacionais e, então, refletimos sobre a incidência da criação de problemas matemáticos e do raciocínio analógico no contexto escolar.

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