Modelos concretos en educación infantil: primeros pasos para avanzar hacia la modelización matemática = Concrete models in early childhood education: first steps towards mathematical modelling

The characteristics of the models that 5-6 year old children create during a mathematical modelling process are analysed in order to find creative and effective solutions to real problems. To this end, a mathematical modelling activity has been implemented based on the phases of comprehension, struc...

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Authors: Alsina, Àngel; Salgado Somoza, María
Format: Article
Status:Published version
Publication date:2025
Country:España
Institution:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repository:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:10256/27168
Online Access:http://hdl.handle.net/10256/27168
Access Level:Open access
Keyword:Matemàtica -- Ensenyament -- Educació infantil (Primer cicle)
Mathematics -- Education (Early childhood)
Didàctica -- Educació infantil (Primer cicle)
Teaching -- Education (Early childhood)
Professors de matemàtica
Mathematics teachers
Desenvolupament professional
Career development
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author Alsina, Àngel
author2 Salgado Somoza, María
author2_role author
author_browse Alsina, Àngel
Salgado Somoza, María
author_facet Alsina, Àngel
Salgado Somoza, María
author_role author
collection Recercat. Dipósit de la Recerca de Catalunya
description The characteristics of the models that 5-6 year old children create during a mathematical modelling process are analysed in order to find creative and effective solutions to real problems. To this end, a mathematical modelling activity has been implemented based on the phases of comprehension, structuring, mathematization, mathematical work, interpretation, validation and exhibition/presentation. To identify how they construct the first models, we used the early childhood education indicators of the Rubric for Evaluating Mathematical Modelling Processes (REMMP) instrument that are most directly related to the creation of models (end of the mathematical work phase onwards). The main findings show that, with a teaching aid based on knowledge of early mathematical modelling (MMT), children are able to work mathematically, interpret, validate and present concrete models with the following characteristics: on the one hand, they rely on diagrammatic and narrative arguments; on the other hand, they rely on concrete, pictorial and symbolic representations. It is concluded that it is necessary to continue investigating the professional development of teachers so that they can progressively incorporate the professional competences required to design, implement and evaluate EMM practices in early childhood education
eu_rights_str_mv openAccess
format article
id ES_3106ddcf8d771db2b7503f790a3cd0ce
institution Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
instname_str Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
network_acronym_str ES
network_name_str España
oai_identifier_str oai:recercat.cat:10256/27168
publishDate 2025
publishDateSort 2025
publisher Universitat Politècnica de València
publisherStr Universitat Politècnica de València
reponame_str Recercat. Dipósit de la Recerca de Catalunya
spelling Modelos concretos en educación infantil: primeros pasos para avanzar hacia la modelización matemática = Concrete models in early childhood education: first steps towards mathematical modelling Alsina, Àngel Salgado Somoza, María Matemàtica -- Ensenyament -- Educació infantil (Primer cicle) Mathematics -- Education (Early childhood) Didàctica -- Educació infantil (Primer cicle) Teaching -- Education (Early childhood) Professors de matemàtica Mathematics teachers Desenvolupament professional Career development The characteristics of the models that 5-6 year old children create during a mathematical modelling process are analysed in order to find creative and effective solutions to real problems. To this end, a mathematical modelling activity has been implemented based on the phases of comprehension, structuring, mathematization, mathematical work, interpretation, validation and exhibition/presentation. To identify how they construct the first models, we used the early childhood education indicators of the Rubric for Evaluating Mathematical Modelling Processes (REMMP) instrument that are most directly related to the creation of models (end of the mathematical work phase onwards). The main findings show that, with a teaching aid based on knowledge of early mathematical modelling (MMT), children are able to work mathematically, interpret, validate and present concrete models with the following characteristics: on the one hand, they rely on diagrammatic and narrative arguments; on the other hand, they rely on concrete, pictorial and symbolic representations. It is concluded that it is necessary to continue investigating the professional development of teachers so that they can progressively incorporate the professional competences required to design, implement and evaluate EMM practices in early childhood education Se analizan las características de los modelos que crean niños de 5-6 años durante un proceso de modelización matemática, para encontrar soluciones creativas y eficaces a problemas reales. Para ello, se ha implementado una actividad de modelización matemática a partir de las fases de comprensión, estructuración, matematización, trabajo matemático, interpretación, validación y exposición/presentación. Para identificar cómo construyen los primeros modelos, se han utilizado los indicadores de educación infantil del instrumento Rubric for Evaluating Mathematical Modelling Processes (REMMP) que están más directamente relacionados con la creación de modelos (final de la fase de trabajo matemático en adelante). Los principales resultados muestran que, con una ayuda docente fundamentada en conocimientos sobre modelización matemática temprana (MMT), los niños son capaces de trabajar matemáticamente, interpretar, validar y presentar modelos concretos que reúnen las siguientes características: por un lado, se apoyan en argumentos diagramáticos y narrativos; y, por otro lado, en representaciones concretas, pictóricas y simbólicas. Se concluye que es necesario seguir investigando en torno al desarrollo profesional del profesorado para que, progresivamente, incorpore las competencias profesionales imprescindibles para diseñar, implementar y evaluar prácticas de MMT en educación infantil Universitat Politècnica de València http://hdl.handle.net/10256/27168
spellingShingle Modelos concretos en educación infantil: primeros pasos para avanzar hacia la modelización matemática = Concrete models in early childhood education: first steps towards mathematical modelling
Alsina, Àngel
Matemàtica -- Ensenyament -- Educació infantil (Primer cicle)
Mathematics -- Education (Early childhood)
Didàctica -- Educació infantil (Primer cicle)
Teaching -- Education (Early childhood)
Professors de matemàtica
Mathematics teachers
Desenvolupament professional
Career development
status_str publishedVersion
title Modelos concretos en educación infantil: primeros pasos para avanzar hacia la modelización matemática = Concrete models in early childhood education: first steps towards mathematical modelling
title_full Modelos concretos en educación infantil: primeros pasos para avanzar hacia la modelización matemática = Concrete models in early childhood education: first steps towards mathematical modelling
title_fullStr Modelos concretos en educación infantil: primeros pasos para avanzar hacia la modelización matemática = Concrete models in early childhood education: first steps towards mathematical modelling
title_full_unstemmed Modelos concretos en educación infantil: primeros pasos para avanzar hacia la modelización matemática = Concrete models in early childhood education: first steps towards mathematical modelling
title_short Modelos concretos en educación infantil: primeros pasos para avanzar hacia la modelización matemática = Concrete models in early childhood education: first steps towards mathematical modelling
title_sort Modelos concretos en educación infantil: primeros pasos para avanzar hacia la modelización matemática = Concrete models in early childhood education: first steps towards mathematical modelling
topic Matemàtica -- Ensenyament -- Educació infantil (Primer cicle)
Mathematics -- Education (Early childhood)
Didàctica -- Educació infantil (Primer cicle)
Teaching -- Education (Early childhood)
Professors de matemàtica
Mathematics teachers
Desenvolupament professional
Career development
topic_facet Matemàtica -- Ensenyament -- Educació infantil (Primer cicle)
Mathematics -- Education (Early childhood)
Didàctica -- Educació infantil (Primer cicle)
Teaching -- Education (Early childhood)
Professors de matemàtica
Mathematics teachers
Desenvolupament professional
Career development
url http://hdl.handle.net/10256/27168