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Developing flexible-adaptive reasoning and computing

2015Journal article Open access
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dc.contributor.authorBrocardo, Joana
dc.contributor.authorKraemer, Jean-Marie
dc.contributor.authorMendes, Fátima
dc.contributor.authorDelgado, Catarina
dc.date.accessioned2018-04-09T13:51:41Z
dc.date.available2018-04-09T13:51:41Z
dc.date.issued2015
dc.description.abstractThe project ‘Numerical thinking and flexible calculation: critical issues’ aims to study students’ conceptual knowledge associated with the understanding of the different levels of learning numbers and operations. We follow the idea proposed by several authors that flexibility refers to the ability to manipulate numbers as mathematical objects which can be decomposed and recomposed in multiple ways using different symbolisms for the same objet (Gravemeijer, 2004; Gray &Tall, 1994;). The project plan is based on a qualitative and interpretative methodology (Denzin & Lincoln, 2005) with a design research approach (Gravemeijer & Cobb, 2006). This article focus the preparation of a teaching experience centered in the flexible learning of multiplication. It describes the analysis of a clinical interview where Pedro (9 years) solves the task 'Prawn skewers'. It illustrates how we identify and describe Pedro’s conceptual knowledge associated with the different levels of understanding of numbers and multiplication/division and analyzes if and how this knowledge facilitates adaptive thinking and flexible calculation.en
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.issn2183-2234
dc.identifier.urihttp://hdl.handle.net/10400.26/22222
dc.language.isoengen
dc.peerreviewedyesen
dc.publisherInstituto Politécnico de Viana do Castelo, Escola Superior de Educaçãopt_PT
dc.relation.publisherversionhttp://www.jeten-online.org/index.php/jeten/article/view/69/pdfpt_PT
dc.subjectMultiplicative reasoningen
dc.subjectFlexible calculationen
dc.subjectMathematical tasksen
dc.titleDeveloping flexible-adaptive reasoning and computingen
dc.title.alternativePedro's understanding of the task "Prawn Skewers"en
dc.typejournal article
dspace.entity.typePublication
oaire.citation.conferencePlaceViana do Castelopt_PT
oaire.citation.endPage100pt_PT
oaire.citation.startPage86pt_PT
oaire.citation.titleJETEN - Journal of the European Teacher Education Networken
oaire.citation.volume10pt_PT
person.familyNameBrocardo
person.familyNamePISTA CALADO MENDES
person.familyNameSantana Coutinho Alves Delgado
person.givenNameJoana
person.givenNameMARIA DE FÁTIMA
person.givenNameCatarina Raquel
person.identifier.ciencia-id6F1B-36A7-BE1D
person.identifier.ciencia-id2018-BA37-C0DD
person.identifier.ciencia-idB317-C822-B31A
person.identifier.orcid0000-0002-0526-7332
person.identifier.orcid0000-0002-7112-9034
person.identifier.orcid0000-0001-8146-1236
rcaap.rightsopenAccessen
rcaap.typearticleen
relation.isAuthorOfPublication280de74f-ed5a-446f-b32d-0da206694181
relation.isAuthorOfPublication00ab5820-2469-4ddb-8c2d-4e3e28e9002a
relation.isAuthorOfPublication81295b2d-49fc-4d37-8f5d-bfe5565ae4a3
relation.isAuthorOfPublication.latestForDiscovery00ab5820-2469-4ddb-8c2d-4e3e28e9002a

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