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

Nasim Asghary; Robabeh Afkhami; Alireza Medghalchi

doi:10.30827/pna.v18i1.16566

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Published: Oct 23, 2023

Authors

Nasim Asghary Central Tehran Branch, Islamic Azad University, Iran
Robabeh Afkhami Central Tehran Branch, Islamic Azad University, Iran https://orcid.org/0000-0001-8275-767X
Alireza Medghalchi Kharazmi University, Iran https://orcid.org/0000-0003-3600-1825

Vol. 18 No. 1 (2023): (October, 2023), Articles, pages 57-76

DOI: https://doi.org/10.30827/pna.v18i1.16566

Submitted: Nov 4, 2020 Accepted: Jun 22, 2022 Published: Oct 23, 2023

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Abstract

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.