Configural reasoning as coordination of visualisation process
<p>This study identifies visualisation processes in student primary teachers when they solve geometry problems requiring mathematical proof, in a pencil-and-paper environment. The results reveal the importance of the initial diagrams that accompany the problems, as well as subsequent modificat...
| Main Authors: | , , |
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| Format: | Article |
| Language: | Spanish |
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Universitat Autònoma de Barcelona
2011-04-01
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| Series: | Enseñanza de las Ciencias |
| Subjects: | |
| Online Access: | https://ensciencias.uab.es/article/view/187 |
| _version_ | 1827841758600364032 |
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| author | Germán Torregrosa-Gironés H. Quesada Vilella M.C. Penalva Martínez |
| author_facet | Germán Torregrosa-Gironés H. Quesada Vilella M.C. Penalva Martínez |
| author_sort | Germán Torregrosa-Gironés |
| collection | DOAJ |
| description | <p>This study identifies visualisation processes in student primary teachers when they solve geometry problems requiring mathematical proof, in a pencil-and-paper environment. The results reveal the importance of the initial diagrams that accompany the problems, as well as subsequent modifications of these diagrams in the development of discursive and operative apprehension, constituting as they do links between mathematical reasoning processes and the visualisation of geometry-problem solving in a paper-and-pencil context. Finally, we identify the possible causes of those limitations that hinder the development of such apprehension.</p> |
| first_indexed | 2024-03-12T07:57:08Z |
| format | Article |
| id | doaj.art-b7999bffdfda43569bb39945206f7d16 |
| institution | Directory Open Access Journal |
| issn | 0212-4521 2174-6486 |
| language | Spanish |
| last_indexed | 2024-03-12T07:57:08Z |
| publishDate | 2011-04-01 |
| publisher | Universitat Autònoma de Barcelona |
| record_format | Article |
| series | Enseñanza de las Ciencias |
| spelling | doaj.art-b7999bffdfda43569bb39945206f7d162023-09-02T20:08:00ZspaUniversitat Autònoma de BarcelonaEnseñanza de las Ciencias0212-45212174-64862011-04-0128332734010.5565/rev/ec/v28n3.18738Configural reasoning as coordination of visualisation processGermán Torregrosa-GironésH. Quesada VilellaM.C. Penalva Martínez<p>This study identifies visualisation processes in student primary teachers when they solve geometry problems requiring mathematical proof, in a pencil-and-paper environment. The results reveal the importance of the initial diagrams that accompany the problems, as well as subsequent modifications of these diagrams in the development of discursive and operative apprehension, constituting as they do links between mathematical reasoning processes and the visualisation of geometry-problem solving in a paper-and-pencil context. Finally, we identify the possible causes of those limitations that hinder the development of such apprehension.</p>https://ensciencias.uab.es/article/view/187visualisationapprehensionconfigural reasoningproblem solvingmathematical proof |
| spellingShingle | Germán Torregrosa-Gironés H. Quesada Vilella M.C. Penalva Martínez Configural reasoning as coordination of visualisation process Enseñanza de las Ciencias visualisation apprehension configural reasoning problem solving mathematical proof |
| title | Configural reasoning as coordination of visualisation process |
| title_full | Configural reasoning as coordination of visualisation process |
| title_fullStr | Configural reasoning as coordination of visualisation process |
| title_full_unstemmed | Configural reasoning as coordination of visualisation process |
| title_short | Configural reasoning as coordination of visualisation process |
| title_sort | configural reasoning as coordination of visualisation process |
| topic | visualisation apprehension configural reasoning problem solving mathematical proof |
| url | https://ensciencias.uab.es/article/view/187 |
| work_keys_str_mv | AT germantorregrosagirones configuralreasoningascoordinationofvisualisationprocess AT hquesadavilella configuralreasoningascoordinationofvisualisationprocess AT mcpenalvamartinez configuralreasoningascoordinationofvisualisationprocess |