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Semiotic Representations in The Learning of Rational Numbers by 2nd Grade Portuguese Students

dc.contributor.authorViseu, Floriano
dc.contributor.authorPires, Ana Luísa
dc.contributor.authorMenezes, Luís
dc.contributor.authorCosta, Ana Maria
dc.date.accessioned2021-07-19T09:50:39Z
dc.date.available2021-07-19T09:50:39Z
dc.date.issued2021-06
dc.description.abstractThe use of different registers to represent mathematical concepts enhances understanding. For example, rational numbers can assume pictorial, symbolic and natural language representations and this kind of change improves learning. Based on these assumptions, a teaching experiment for the learning of rational numbers by 2nd grade students was conducted, so as to allow for an understanding of how semiotic representations contribute to the learning of rational numbers, particularly with concern to unit fractions. Using a qualitative methodology and a content analysis of the students' written productions, the study shows a greater use of the pictorial representation register compared to the other types. Students' main difficulties in learning rational numbers are related to the pictorial representation of unit fractions and to an understanding of the concept of fraction itself. Some of these difficulties result from errors such as the misrepresentation of unit fractions in the case of the pictorial register, the association of the concept "half" with multiple unit fractions, the absence of the fraction bar when it comes to the symbolic register, the use of everyday terms to represent fractions when students rely on the natural language register, and the misrepresentation of rational numbers when the graphic register is used.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationViseu, F, Pires, A. L., Menezes, L., & Costa, A. M. (2021). Semiotic Representations in The Learning of Rational Numbers by 2nd Grade Portuguese Students. International Electronic Journal of Elementary Education, 13(5), 611-624.pt_PT
dc.identifier.doi10.26822/iejee.2021.216pt_PT
dc.identifier.urihttp://hdl.handle.net/10400.19/6783
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherKUBApt_PT
dc.subjectRegisters of Semiotic Representationpt_PT
dc.subjectMathematicspt_PT
dc.subjectLearning Rational Numberspt_PT
dc.subjectUnit Fractionpt_PT
dc.subjectPrimary Schoolpt_PT
dc.titleSemiotic Representations in The Learning of Rational Numbers by 2nd Grade Portuguese Studentspt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage624pt_PT
oaire.citation.issue5pt_PT
oaire.citation.startPage611pt_PT
oaire.citation.titleInternational Electronic Journal of Elementary Educationpt_PT
oaire.citation.volume33pt_PT
person.familyNameMenezes
person.givenNameLuís
person.identifier.orcid0000-0002-8978-8900
rcaap.rightsopenAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublication3a32117a-c737-4465-8f56-5e98a30728db
relation.isAuthorOfPublication.latestForDiscovery3a32117a-c737-4465-8f56-5e98a30728db

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