A Visual Approach for Solving Problems with Fractions

This article discusses the importance of visual models in problem solving, in the scope of rational numbers. We seek to highlight the potential of this approach, as a structuring theme in the mathematical development of students in elementary education and the connections it allows to establish. In...

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Autores principales:	Ana Barbosa, Isabel Vale
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	problem solving rational numbers fractions visual strategies pre-service teacher training Education L
Acceso en línea:	https://doaj.org/article/7cbcf1d7ff7b4a79b9d13d9ec94fc006
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id	oai:doaj.org-article:7cbcf1d7ff7b4a79b9d13d9ec94fc006
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spelling	oai:doaj.org-article:7cbcf1d7ff7b4a79b9d13d9ec94fc0062021-11-25T17:23:43ZA Visual Approach for Solving Problems with Fractions10.3390/educsci111107272227-7102https://doaj.org/article/7cbcf1d7ff7b4a79b9d13d9ec94fc0062021-11-01T00:00:00Zhttps://www.mdpi.com/2227-7102/11/11/727https://doaj.org/toc/2227-7102This article discusses the importance of visual models in problem solving, in the scope of rational numbers. We seek to highlight the potential of this approach, as a structuring theme in the mathematical development of students in elementary education and the connections it allows to establish. In order for students to be mathematically competent and creative, they must be able not only to solve traditional computational problems but also to use models/visual representations when solving all types of mathematical problems, including those in which the visual component is not evident. We developed a qualitative study based on a didactical experience involving 14 future teachers who were attending a Didactics of Mathematics unit course that included a module about problem solving with emphasizes in visual approaches. The main purpose of the study was to identify the strategies used by the future teachers when solving problems with multiple solutions, before and after that module. Data was collected through observation and the written productions of the participants. It was possible to conclude that they tended to privilege analytical approaches before the intervention and, after the teaching experience, they started to value visual approaches, which generated an increase of the productions involving this type of solutions.Ana BarbosaIsabel ValeMDPI AGarticleproblem solvingrational numbersfractionsvisual strategiespre-service teacher trainingEducationLENEducation Sciences, Vol 11, Iss 727, p 727 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	problem solving rational numbers fractions visual strategies pre-service teacher training Education L
spellingShingle	problem solving rational numbers fractions visual strategies pre-service teacher training Education L Ana Barbosa Isabel Vale A Visual Approach for Solving Problems with Fractions
description	This article discusses the importance of visual models in problem solving, in the scope of rational numbers. We seek to highlight the potential of this approach, as a structuring theme in the mathematical development of students in elementary education and the connections it allows to establish. In order for students to be mathematically competent and creative, they must be able not only to solve traditional computational problems but also to use models/visual representations when solving all types of mathematical problems, including those in which the visual component is not evident. We developed a qualitative study based on a didactical experience involving 14 future teachers who were attending a Didactics of Mathematics unit course that included a module about problem solving with emphasizes in visual approaches. The main purpose of the study was to identify the strategies used by the future teachers when solving problems with multiple solutions, before and after that module. Data was collected through observation and the written productions of the participants. It was possible to conclude that they tended to privilege analytical approaches before the intervention and, after the teaching experience, they started to value visual approaches, which generated an increase of the productions involving this type of solutions.
format	article
author	Ana Barbosa Isabel Vale
author_facet	Ana Barbosa Isabel Vale
author_sort	Ana Barbosa
title	A Visual Approach for Solving Problems with Fractions
title_short	A Visual Approach for Solving Problems with Fractions
title_full	A Visual Approach for Solving Problems with Fractions
title_fullStr	A Visual Approach for Solving Problems with Fractions
title_full_unstemmed	A Visual Approach for Solving Problems with Fractions
title_sort	visual approach for solving problems with fractions
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/7cbcf1d7ff7b4a79b9d13d9ec94fc006
work_keys_str_mv	AT anabarbosa avisualapproachforsolvingproblemswithfractions AT isabelvale avisualapproachforsolvingproblemswithfractions AT anabarbosa visualapproachforsolvingproblemswithfractions AT isabelvale visualapproachforsolvingproblemswithfractions
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A Visual Approach for Solving Problems with Fractions

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