{"title":"Developing a Framework for Evaluating Student's Understanding at Figural Pattern Generalization","authors":"Nasim Asghary, Robabeh Afkhami, Alireza Medghalchi","doi":"10.30827/pna.v18i1.16566","DOIUrl":null,"url":null,"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.","PeriodicalId":43402,"journal":{"name":"PNA-Revista de Investigacion en Didactica de la Matematica","volume":"55 2","pages":"0"},"PeriodicalIF":0.8000,"publicationDate":"2023-10-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"PNA-Revista de Investigacion en Didactica de la Matematica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.30827/pna.v18i1.16566","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"EDUCATION, SCIENTIFIC DISCIPLINES","Score":null,"Total":0}
引用次数: 0
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.