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Venues for analytical reasoning problems: how children produce deductive reasoning

dc.contributor.authorCarreira, Susana
dc.contributor.authorAmado, Nélia
dc.contributor.authorJacinto, Hélia
dc.date.accessioned2020-09-11T08:40:40Z
dc.date.available2020-09-11T08:40:40Z
dc.date.issued2020
dc.description.abstractThe research on deductive reasoning in mathematics education has been predominantly associated with the study of proof; consequently, there is a lack of studies on logical reasoning per se, especially with young children. Analytical reasoning problems are adequate tasks to engage the solver in deductive reasoning, as they require rule checking and option elimination, for which chains of inferences based on premises and rules are accomplished. Focusing on the solutions of children aged 10–12 to an analytical reasoning problem proposed in two separate settings—a web-based problem-solving competition and mathematics classes—this study aims to find out what forms of deductive reasoning they undertake and how they express that reasoning. This was done through a qualitative content analysis encompassing 384 solutions by children participating in a beyond-school competition and 102 solutions given by students in their mathematics classes. The results showed that four di erent types of deductive reasoning models were produced in the two venues. Moreover, several representational resources were found in the children’s solutions. Overall, it may be concluded that moderately complex analytical reasoning tasks can be taken into regular mathematics classes to support and nurture young children’s diverse deductive reasoning models.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.doi10.3390/educsci10060169pt_PT
dc.identifier.issn2227-7102
dc.identifier.urihttp://hdl.handle.net/10400.1/14711
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherMDPIpt_PT
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/pt_PT
dc.subjectDeductive reasoningpt_PT
dc.subjectmathematics classpt_PT
dc.subjectAnalytical reasoning problempt_PT
dc.subjectReasoning modelspt_PT
dc.subjectYoung studentspt_PT
dc.subjectExpression of reasoningpt_PT
dc.subjectBeyond-school mathematics competitionpt_PT
dc.titleVenues for analytical reasoning problems: how children produce deductive reasoningpt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.citation.issue6pt_PT
oaire.citation.startPage169pt_PT
oaire.citation.titleEducation Sciencespt_PT
oaire.citation.volume10pt_PT
person.familyNameCarreira
person.familyNameAmado
person.givenNameSusana
person.givenNameNélia Maria
person.identifier.ciencia-id471D-177C-9C31
person.identifier.ciencia-id0513-03EB-CEDF
person.identifier.orcid0000-0002-0746-7258
person.identifier.orcid0000-0002-5768-9633
person.identifier.ridA-8872-2014
person.identifier.scopus-author-id55092828800
person.identifier.scopus-author-idID:55086472100
rcaap.rightsopenAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublication11243a2f-8ebd-41ff-a343-d48fdc2e58dc
relation.isAuthorOfPublicationdba39ad4-fa0b-4a97-976d-7e5b77f89540
relation.isAuthorOfPublication.latestForDiscovery11243a2f-8ebd-41ff-a343-d48fdc2e58dc

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