Configured-groups hypothesis: fast comparison of exact large quantities without counting.
Identifieur interne : 000F43 ( PubMed/Checkpoint ); précédent : 000F42; suivant : 000F44Configured-groups hypothesis: fast comparison of exact large quantities without counting.
Auteurs : Sébastien Miravete [France] ; André Tricot [France] ; Slava Kalyuga [Australie] ; Franck Amadieu [France]Source :
- Cognitive processing [ 1612-4790 ] ; 2017.
Abstract
Our innate number sense cannot distinguish between two large exact numbers of objects (e.g., 45 dots vs 46). Configured groups (e.g., 10 blocks, 20 frames) are traditionally used in schools to represent large numbers. Previous studies suggest that these external representations make it easier to use symbolic strategies such as counting ten by ten, enabling humans to differentiate exactly two large numbers. The main hypothesis of this work is that configured groups also allow for a differentiation of large exact numbers, even when symbolic strategies become ineffective. In experiment 1, the children from grade 3 were asked to compare two large collections of objects for 5 s. When the objects were organized in configured groups, the success rate was over .90. Without this configured grouping, the children were unable to make a successful comparison. Experiments 2 and 3 controlled for a strategy based on non-numerical parameters (areas delimited by dots or the sum areas of dots, etc.) or use symbolic strategies. These results suggest that configured grouping enables humans to distinguish between two large exact numbers of objects, even when innate number sense and symbolic strategies are ineffective. These results are consistent with what we call "the configured group hypothesis": configured groups play a fundamental role in the acquisition of exact numerical abilities.
DOI: 10.1007/s10339-017-0826-5
PubMed: 28717829
Affiliations:
- Australie, France
- Midi-Pyrénées, Nouvelle-Galles du Sud, Occitanie (région administrative)
- Sydney, Toulouse
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type="abstract" xml:lang="en">Our innate number sense cannot distinguish between two large exact numbers of objects (e.g., 45 dots vs 46). Configured groups (e.g., 10 blocks, 20 frames) are traditionally used in schools to represent large numbers. Previous studies suggest that these external representations make it easier to use symbolic strategies such as counting ten by ten, enabling humans to differentiate exactly two large numbers. The main hypothesis of this work is that configured groups also allow for a differentiation of large exact numbers, even when symbolic strategies become ineffective. In experiment 1, the children from grade 3 were asked to compare two large collections of objects for 5 s. When the objects were organized in configured groups, the success rate was over .90. Without this configured grouping, the children were unable to make a successful comparison. Experiments 2 and 3 controlled for a strategy based on non-numerical parameters (areas delimited by dots or the sum areas of dots, etc.) or use symbolic strategies. These results suggest that configured grouping enables humans to distinguish between two large exact numbers of objects, even when innate number sense and symbolic strategies are ineffective. These results are consistent with what we call "the configured group hypothesis": configured groups play a fundamental role in the acquisition of exact numerical abilities.</div></front></TEI><pubmed><MedlineCitation Status="In-Process" Owner="NLM"><PMID Version="1">28717829</PMID><DateCreated><Year>2017</Year><Month>07</Month><Day>18</Day></DateCreated><DateRevised><Year>2017</Year><Month>11</Month><Day>16</Day></DateRevised><Article PubModel="Print-Electronic"><Journal><ISSN IssnType="Electronic">1612-4790</ISSN><JournalIssue CitedMedium="Internet"><Volume>18</Volume><Issue>4</Issue><PubDate><Year>2017</Year><Month>Nov</Month></PubDate></JournalIssue><Title>Cognitive processing</Title><ISOAbbreviation>Cogn Process</ISOAbbreviation></Journal><ArticleTitle>Configured-groups hypothesis: fast comparison of exact large quantities without counting.</ArticleTitle><Pagination><MedlinePgn>447-459</MedlinePgn></Pagination><ELocationID EIdType="doi" ValidYN="Y">10.1007/s10339-017-0826-5</ELocationID><Abstract><AbstractText>Our innate number sense cannot distinguish between two large exact numbers of objects (e.g., 45 dots vs 46). Configured groups (e.g., 10 blocks, 20 frames) are traditionally used in schools to represent large numbers. Previous studies suggest that these external representations make it easier to use symbolic strategies such as counting ten by ten, enabling humans to differentiate exactly two large numbers. The main hypothesis of this work is that configured groups also allow for a differentiation of large exact numbers, even when symbolic strategies become ineffective. In experiment 1, the children from grade 3 were asked to compare two large collections of objects for 5 s. When the objects were organized in configured groups, the success rate was over .90. Without this configured grouping, the children were unable to make a successful comparison. Experiments 2 and 3 controlled for a strategy based on non-numerical parameters (areas delimited by dots or the sum areas of dots, etc.) or use symbolic strategies. These results suggest that configured grouping enables humans to distinguish between two large exact numbers of objects, even when innate number sense and symbolic strategies are ineffective. These results are consistent with what we call "the configured group hypothesis": configured groups play a fundamental role in the acquisition of exact numerical abilities.</AbstractText></Abstract><AuthorList CompleteYN="Y"><Author ValidYN="Y"><LastName>Miravete</LastName><ForeName>Sébastien</ForeName><Initials>S</Initials><AffiliationInfo><Affiliation>CLLE Institute, University of Toulouse 2, Toulouse, France. sebastien.miravete@gmail.com.</Affiliation></AffiliationInfo></Author><Author ValidYN="Y"><LastName>Tricot</LastName><ForeName>André</ForeName><Initials>A</Initials><AffiliationInfo><Affiliation>CLLE Institute, University of Toulouse 2, Toulouse, France.</Affiliation></AffiliationInfo></Author><Author ValidYN="Y"><LastName>Kalyuga</LastName><ForeName>Slava</ForeName><Initials>S</Initials><AffiliationInfo><Affiliation>School of Education, University of New South Wales, Sydney, Australia.</Affiliation></AffiliationInfo></Author><Author ValidYN="Y"><LastName>Amadieu</LastName><ForeName>Franck</ForeName><Initials>F</Initials><AffiliationInfo><Affiliation>CLLE Institute, University of Toulouse 2, Toulouse, France.</Affiliation></AffiliationInfo></Author></AuthorList><Language>eng</Language><PublicationTypeList><PublicationType UI="D016428">Journal Article</PublicationType></PublicationTypeList><ArticleDate DateType="Electronic"><Year>2017</Year><Month>07</Month><Day>17</Day></ArticleDate></Article><MedlineJournalInfo><Country>Germany</Country><MedlineTA>Cogn Process</MedlineTA><NlmUniqueID>101177984</NlmUniqueID><ISSNLinking>1612-4782</ISSNLinking></MedlineJournalInfo><KeywordList Owner="NOTNLM"><Keyword MajorTopicYN="N">Configured groups</Keyword><Keyword MajorTopicYN="N">Educational psychology</Keyword><Keyword MajorTopicYN="N">External representation</Keyword><Keyword MajorTopicYN="N">Number sense</Keyword><Keyword MajorTopicYN="N">Numerical cognition</Keyword></KeywordList></MedlineCitation><PubmedData><History><PubMedPubDate PubStatus="received"><Year>2016</Year><Month>06</Month><Day>27</Day></PubMedPubDate><PubMedPubDate PubStatus="accepted"><Year>2017</Year><Month>06</Month><Day>28</Day></PubMedPubDate><PubMedPubDate PubStatus="pubmed"><Year>2017</Year><Month>7</Month><Day>19</Day><Hour>6</Hour><Minute>0</Minute></PubMedPubDate><PubMedPubDate PubStatus="medline"><Year>2017</Year><Month>7</Month><Day>19</Day><Hour>6</Hour><Minute>0</Minute></PubMedPubDate><PubMedPubDate PubStatus="entrez"><Year>2017</Year><Month>7</Month><Day>19</Day><Hour>6</Hour><Minute>0</Minute></PubMedPubDate></History><PublicationStatus>ppublish</PublicationStatus><ArticleIdList><ArticleId IdType="pubmed">28717829</ArticleId><ArticleId IdType="doi">10.1007/s10339-017-0826-5</ArticleId><ArticleId IdType="pii">10.1007/s10339-017-0826-5</ArticleId></ArticleIdList></PubmedData></pubmed><affiliations><list><country><li>Australie</li><li>France</li></country><region><li>Midi-Pyrénées</li><li>Nouvelle-Galles du Sud</li><li>Occitanie (région administrative)</li></region><settlement><li>Sydney</li><li>Toulouse</li></settlement></list><tree><country name="France"><region name="Occitanie (région administrative)"><name sortKey="Miravete, Sebastien" sort="Miravete, Sebastien" uniqKey="Miravete S" first="Sébastien" last="Miravete">Sébastien Miravete</name></region><name sortKey="Amadieu, Franck" sort="Amadieu, Franck" uniqKey="Amadieu F" first="Franck" last="Amadieu">Franck Amadieu</name><name sortKey="Tricot, Andre" sort="Tricot, Andre" uniqKey="Tricot A" first="André" last="Tricot">André Tricot</name></country><country name="Australie"><region name="Nouvelle-Galles du Sud"><name sortKey="Kalyuga, Slava" sort="Kalyuga, Slava" uniqKey="Kalyuga S" first="Slava" last="Kalyuga">Slava Kalyuga</name></region></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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