Developing a Framework for Evaluating Student's Understanding at Figural Pattern Generalization

• Asghary, Nasim ^[1] ; Afkhami, Robabeh ^[1] ; Medghalchi, Alireza ^[2]
  1. [1] Central Tehran Branch, Islamic Azad University, Iran
  2. [2] Kharazmi University, Iran
• Localización: PNA: Revista de investigación en didáctica de la matemática, ISSN-e 1887-3987, Vol. 18, Nº. 1, 2023, págs. 57-76
• Idioma: inglés
• DOI: 10.30827/pna.v18i1.16566
• Títulos paralelos:
  • Desenvolvimento de uma estrutura para avaliar a compreensão dos alunos sobre a generalização de padrões figurativos
  • Desarrollo de un marco para evaluar la comprensión del estudiante en la generalización de patrones figurativos
• Enlaces
  • Texto completo (pdf)
• Resumen
  • español

    Los patrones figurativos tienen una capacidad única para promover el pensamiento funcional. Este estudio tuvo como objetivo identificar las construcciones mentales de los estudiantes de 7º grado en Generalización de Patrones Figurativos (FPG) mediante el uso de la teoría de Acción, Proceso, Objeto y Esquema (APOS) para desarrollar un marco para evaluar la comprensión de la FPG. Una muestra de 220 estudiantes completó una prueba diseñada en el marco APOS y 19 estudiantes participaron en una entrevista semiestructurada. Los resultados mostraron que existen niveles de acción emergentes y parciales antes de la etapa de acción y niveles de proceso/objeto pre, emergentes y parciales antes de la etapa de proceso/objeto.

  • English

    Figural patterns have a unique capacity to promote functional thinking. This study aimed to identify the mental constructs of 7th-grade students in Figural Pattern Generalization (FPG) by using the Action, Process, Object, Schema (APOS) theory in order to develop a framework for evaluating students' understanding of FPG. A sample of 220 students completed a test designed based on the APOS framework and 19 students participated in a semi-structured interview. Results showed that there are emergent and partial action levels before the action stage and pre-emergent, and partial process/object levels before the process/object stage.

  • português

    Os padrões figurativos têm uma capacidade única de promover o pensamento funcional. Este estudo teve como objetivo identificar as construções mentais dos alunos do 7.º ano na Generalização de Padrões Figurativos (FPG), utilizando a teoria das Acçõ, Process, Object e Esquema (APOS) para desenvolver um quadro de avaliação da compreensão da FPG. Uma amostra de 220 alunos completou um teste concebido no âmbito da APOS e 19 alunos participaram numa entrevista semi-estruturada. Os resultados mostraram que existem níveis de ação emergentes e parciais antes da fase de ação e níveis de processo/objeto prévios, emergentes e parciais antes da fase de processo/objeto

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