Levels of Sophistication in Elementary Students’ Understanding of Polygon Concept and Polygons Classes
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http://hdl.handle.net/10045/117229
Título: | Levels of Sophistication in Elementary Students’ Understanding of Polygon Concept and Polygons Classes |
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Autor/es: | Bernabeu-Martínez, Melania | Llinares, Salvador | Moreno, Mar |
Grupo/s de investigación o GITE: | Investigación y Formación Didáctica |
Centro, Departamento o Servicio: | Universidad de Alicante. Departamento de Innovación y Formación Didáctica |
Palabras clave: | Geometrical thinking | Levels of sophistication | Polygon concept | Polygon classes | Elementary education |
Área/s de conocimiento: | Didáctica de la Matemática |
Fecha de publicación: | 17-ago-2021 |
Editor: | MDPI |
Cita bibliográfica: | Bernabeu M, Llinares S, Moreno M. Levels of Sophistication in Elementary Students’ Understanding of Polygon Concept and Polygons Classes. Mathematics. 2021; 9(16):1966. https://doi.org/10.3390/math9161966 |
Resumen: | This paper reports sophistication levels in third grade children’s understanding of polygon concept and polygon classes. We consider how children endow mathematical meaning to parts of figures and reason to identify relationships between polygons. We describe four levels of sophistication in children’s thinking as they consider a figure as an example of a polygon class through spatial structuring (the mental operation of building an organization for a set of figures). These levels are: (i) partial structuring of polygon concept; (ii) global structuring of polygon concept; (iii) partial structuring of polygon classes; and (iv) global structuring of polygon classes. These levels detail how cognitive apprehensions, dimensional deconstruction, and the use of mathematical language intervene in the mental process of spatial structuring in the understanding of the classes of polygons. |
Patrocinador/es: | This research was supported in part by the project PROMETEO/2017/135 of the Generalitat Valenciana (Spain) and by the University of Alicante (FPU2017-014). |
URI: | http://hdl.handle.net/10045/117229 |
ISSN: | 2227-7390 |
DOI: | 10.3390/math9161966 |
Idioma: | eng |
Tipo: | info:eu-repo/semantics/article |
Derechos: | © 2021 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). |
Revisión científica: | si |
Versión del editor: | https://doi.org/10.3390/math9161966 |
Aparece en las colecciones: | INV - IFD-DM - Artículos de Revistas |
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Bernabeu_etal_2021_Mathematics.pdf | 4,81 MB | Adobe PDF | Abrir Vista previa | |
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