Publication:
Exponential distributions in the syntactic structure of written numerals: A linguistic model

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col.comunidadvinculadaComunidad académica de Colombiaes_CO
col.contrato0637-2008es_CO
col.date.proyecto2011-04
col.programa.colcienciasPrograma de ciencias y tecnologías de la educaciónes_CO
col.tipo.espGeneración de contenidos impresos, radiales, audiovisuales, multimedia, virtuales y Creative Commonses_CO
dc.audienceProfesoreses_CO
dc.coverage.spatialValle del Caucaes_CO
dc.coverage.spatialBogotáes_CO
dc.creatorHurtado, Rafael Germán
dc.creatorQuimbay Herrera, Carlos José
dc.creatorSantos, Alex
dc.creatorOrozco Hormaza, Mariela
dc.creatorGuerrero López, Diego Fernando
dc.creatorOtálora Sevilla, Yenny
dc.creator.corporativoCorporación de apoyo al Centro de Investigaciones en Psicologíaes_CO
dc.creator.corporativoUniversidad Nacional de Colombia, UNALes_CO
dc.creator.corporativoUniversidad del Valle, Univallees_CO
dc.creator.corporativoUniversidad Antonio Nariño, UANes_CO
dc.creator.mailrghurtadoh@unal.edu.coes_CO
dc.date.accessioned2018-09-27T15:09:29Z
dc.date.available2018-09-27T15:09:29Z
dc.date.embargoEndinfo:eu-repo/date/embargoEnd/2024-01-31es_CO
dc.date.issued2014-04
dc.description.abstractThe linguistic structure of numbers supports the grammar that children have to learn to write Arabic numerals The main linguistic components for the base-10 number of primitive number concepts and sum and product relations. Any com numerical expression can be reduced to primitive concepts by applying in successive times both relations. The grammar contains the set of rules that children have to master to produce well-formed numerical expressions. These rules or procedures are the operations that the subject has to perform and their acquisition corresponds to a learning process. Children production when learning numerals contain both well-formed and ill-formed numerical expressions with syntactic structures coming from the sequence of rules that used to write each numeral We analyze the data from two experiments with children from 6 to 8 years old transcoding oral verbal numerals to the Arabic format under dictation. The first experiment makes measurements in short period of time between successive tests, one week, and the second uses periods of two months. The analysis relates to the syntactic structure of written Arabic numerals with the linguistic structure of the dictated number and measures of their frequency distributions in children's production. The results indicate that these distributions fit exponential functions and we calculate the scale parameter associated to temperature in the description of some economic and social systems. Temperature and Shannon's entropy decrease as children learn describing an ordering process. Finally we find that heterogeneous groups of children produce neat distributions with exponential behavior.es_CO
dc.description.isprojectnoes_CO
dc.description.projectid1106-452-21365es_CO
dc.description.projectnamePrueba piloto a escala real para la evaluación del aprendizaje de la escritura de los numerales en comunidades escolareses_CO
dc.description.sponsorshipDepartamento Administrativo de Ciencia, Tecnología e Innovación [CO] Colcienciases_CO
dc.formatpdfes_CO
dc.format.extent4 páginases_CO
dc.identifier.urihttps://repositorio.minciencias.gov.co/handle/20.500.14143/21979
dc.language.isoenges_CO
dc.relation.ispartofPrueba piloto a escala real para la evaluación del aprendizaje de la escritura de los numerales en comunidades escolares. La publicación completa está disponible en : <a href="http://repositorio.colciencias.gov.co:80/handle/11146/21976" target="blank">http://repositorio.colciencias.gov.co:80/handle/11146/21976</a>
dc.rightsinfo:eu-repo/semantics/embargoedAccesses_CO
dc.subject.lembMatemáticas -- Enseñanzaes_CO
dc.subject.lembEducación primariaes_CO
dc.subject.lembEducación de niñoses_CO
dc.subject.spinesSociología de la educaciónes_CO
dc.subject.spinesAnálisis (matemáticas)es_CO
dc.subject.spinesPruebas de rendimiento -- Matemáticases_CO
dc.titleExponential distributions in the syntactic structure of written numerals: A linguistic modeles_CO
dc.typeOtroses_CO
dc.type.driverinfo:eu-repo/semantics/other.generacióndecontenidoses_CO
dc.type.hasversioninfo:eu-repo/semantics/acceptedVersiones_CO
dspace.entity.typePublication

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