Razonamientos de estudiantes en tareas de comparación, ordenación y representación de fracciones y números decimales

• González-Forte, Juan Manuel ^[1] ; Fernández, Ceneida ^[1]
  1. [1] Universitat d'Alacant

     Universitat d'Alacant

     Alicante, España

     
• Localización: PNA: Revista de investigación en didáctica de la matemática, ISSN-e 1887-3987, Vol. 18, Nº. 2, 2024 (Ejemplar dedicado a: (January, 2024)), págs. 131-160
• Idioma: español
• DOI: 10.30827/pna.v18i2.27218
• Títulos paralelos:
  • Raciocínios dos estudantes em tarefas de comparação, ordenação e representação de frações e números decimais
  • Students’ reasoning in comparison, ordering and representation of fractions and decimal numbers tasks
• Enlaces
  • Texto completo (pdf)
• Resumen
  • español

    Se ha llevado a cabo un estudio transversal desde 5º de Educación Primaria hasta 4º de Educación Secundaria (ESO), en el que se analiza los niveles de éxito y razonamientos de los estudiantes en tareas de comparación de fracciones, comparación y ordenación de números decimales, y de representación en la recta numérica de fracciones y números decimales. Nuestro estudio aporta evidencias del uso de diferentes razonamientos incorrectos inferidos en estudios cuantitativos y, además, aporta información sobre su evolución. Los resultados muestran que, aunque disminuyó el razonamiento centrado en el uso del conocimiento del número natural, aparecen otros razonamientos incorrectos en este tipo de actividades.

  • English

    A cross-sectional study from 5th to 10th grade has been performed to analyse the levels of success and students’ reasoning in fraction and decimal number comparison tasks, and tasks of representing fractions and decimal numbers in the number line. Our study provides evidence of the use of different incorrect reasonings inferred in previous quantitative studies and also provides information on how these reasonings are used along grades. Results show that, although the natural number-based reasoning decreased, other incorrect reasoning appears in these types of tasks.

  • português

    Realizou-se um estudo transversal desde o 5º ano do Ensino Básico ao 4º ano do Ensino Secundário, no qual se analisam os níveis de sucesso e raciocínios dos alunos em tarefas de comparação de frações, comparação de números decimais e representação de frações e decimais na reta numérica. Nosso estudo fornece evidências do uso de diferentes incorretos raciocínios inferidos em estudos quantitativos e fornece informações sobre como eles evoluem. Os resultados mostram que, embora o raciocínio focado no uso do conhecimento do número natural tenha diminuído, outros raciocínios incorretos aparecem nesse tipo de atividade.

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