Levels of Sophistication in Elementary Students’ Understanding of Polygon Concept and Polygons Classes
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 childre...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-08-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/9/16/1966 |
| _version_ | 1827684887085187072 |
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| author | Melania Bernabeu Salvador Llinares Mar Moreno |
| author_facet | Melania Bernabeu Salvador Llinares Mar Moreno |
| author_sort | Melania Bernabeu |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-10T08:37:26Z |
| format | Article |
| id | doaj.art-c17ec0a1a86a4ca08e9a7092a011c2bf |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T08:37:26Z |
| publishDate | 2021-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-c17ec0a1a86a4ca08e9a7092a011c2bf2023-11-22T08:34:33ZengMDPI AGMathematics2227-73902021-08-01916196610.3390/math9161966Levels of Sophistication in Elementary Students’ Understanding of Polygon Concept and Polygons ClassesMelania Bernabeu0Salvador Llinares1Mar Moreno2Department of Innovation and Didactic Training, University of Alicante, 03690 San Vicente del Raspeig, SpainDepartment of Innovation and Didactic Training, University of Alicante, 03690 San Vicente del Raspeig, SpainDepartment of Innovation and Didactic Training, University of Alicante, 03690 San Vicente del Raspeig, SpainThis 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.https://www.mdpi.com/2227-7390/9/16/1966geometrical thinkinglevels of sophisticationpolygon conceptpolygon classeselementary education |
| spellingShingle | Melania Bernabeu Salvador Llinares Mar Moreno Levels of Sophistication in Elementary Students’ Understanding of Polygon Concept and Polygons Classes Mathematics geometrical thinking levels of sophistication polygon concept polygon classes elementary education |
| title | Levels of Sophistication in Elementary Students’ Understanding of Polygon Concept and Polygons Classes |
| title_full | Levels of Sophistication in Elementary Students’ Understanding of Polygon Concept and Polygons Classes |
| title_fullStr | Levels of Sophistication in Elementary Students’ Understanding of Polygon Concept and Polygons Classes |
| title_full_unstemmed | Levels of Sophistication in Elementary Students’ Understanding of Polygon Concept and Polygons Classes |
| title_short | Levels of Sophistication in Elementary Students’ Understanding of Polygon Concept and Polygons Classes |
| title_sort | levels of sophistication in elementary students understanding of polygon concept and polygons classes |
| topic | geometrical thinking levels of sophistication polygon concept polygon classes elementary education |
| url | https://www.mdpi.com/2227-7390/9/16/1966 |
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