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The role of representations in promoting the quantitative reasoning

2017Book part Open access
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dc.contributor.authorSerrazina, Maria De Lurdes
dc.contributor.authorRodrigues, Margarida
dc.date.accessioned2018-12-18T09:45:14Z
dc.date.available2018-12-18T09:45:14Z
dc.date.issued2017
dc.description.abstractIn this communication, we discuss the role of representations in the development of conceptual knowledge of 2nd grade students involved in additive quantitative reasoning through the analysis of the resolutions of two tasks that present transformation problems. Starting to discuss what is meant by additive quantitative reasoning and mathematical representation, we present after some empirical results in the context of a teaching experiment developed in a public school. The results show the difficulties with the inverse reasoning present in both situations proposed to students. Most students preferably use the symbolic representation, using also the written language as a way to express the meaning attributed to its resolution. The iconic representation was used only by a pair of students. Representations have assumed a dual role, that of being the means of understanding the students' thinking, and also supporting the development of their mathematical thinking.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationSerrazina, L., & Rodrigues, M. (2017). The role of representations in promoting the quantitative reasoning. In T. Dooley, & G. Gueudet (Eds.), Proceedings of the Tenth Congress of the European Society for Research in Mathematics Education (pp. 4016–4023). Dublin, Ireland: DCU Institute of Education & ERME.pt_PT
dc.identifier.urihttp://hdl.handle.net/10400.21/9177
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherDCU Institute of Education & ERMEpt_PT
dc.relationIPL/2016/FLEC_RAQ_ESELxpt_PT
dc.relation.publisherversionhttps://hal.archives-ouvertes.fr/hal-01950535pt_PT
dc.subjectMathematical representationspt_PT
dc.subjectTransformation problemspt_PT
dc.subjectAdditive quantitative reasoningpt_PT
dc.subjectInversionpt_PT
dc.subjectIPL/2016/FLEC_RAQ_ESELxpt_PT
dc.titleThe role of representations in promoting the quantitative reasoningpt_PT
dc.typebook part
dspace.entity.typePublication
oaire.citation.endPage4023pt_PT
oaire.citation.startPage4016pt_PT
person.familyNameSerrazina
person.familyNameRodrigues
person.givenNameMaria de Lurdes
person.givenNameMargarida
person.identifier1782812
person.identifier.ciencia-idD91D-9562-DA46
person.identifier.ciencia-id1B1C-88B5-75C4
person.identifier.orcid0000-0003-3781-8108
person.identifier.orcid0000-0003-4658-6281
person.identifier.scopus-author-id55849544400
person.identifier.scopus-author-id57202834296
rcaap.rightsopenAccesspt_PT
rcaap.typebookPartpt_PT
relation.isAuthorOfPublicationfb0825ea-cc97-4358-9328-3c204e7b0904
relation.isAuthorOfPublication0c89e4a7-44b2-4315-a6ad-449015581c06
relation.isAuthorOfPublication.latestForDiscovery0c89e4a7-44b2-4315-a6ad-449015581c06

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