Mathematics for diversity: a historical, epistemological, and cognitive study of a perimeter and area concepts

This article is a product of a completed and founded research by the Universidad del Quindío and aims to identify historical, epistemological, didactical, and cognitive elements that are involved in learning the concepts of perimeter and area. The study was conducted in the year 2014 with students f...

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Main Authors: Aldana-Bermúdez, Eliécer, López-Mesa, Jorge Hernán
Format: Online
Language:spa
Published: Universidad Pedagógica y Tecnológica de Colombia 2016
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Online Access:https://revistas.uptc.edu.co/index.php/investigacion_duitama/article/view/5602
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author Aldana-Bermúdez, Eliécer
López-Mesa, Jorge Hernán
author_facet Aldana-Bermúdez, Eliécer
López-Mesa, Jorge Hernán
author_sort Aldana-Bermúdez, Eliécer
collection OJS
description This article is a product of a completed and founded research by the Universidad del Quindío and aims to identify historical, epistemological, didactical, and cognitive elements that are involved in learning the concepts of perimeter and area. The study was conducted in the year 2014 with students from the “Fundación Quindiana de Atención Integral” of comprehensive care in Armenia city, Colombia, who have cognitive difficulties or Down syndrome. Theoretical framework of didactic situations by Brousseau was used, and as a methodology the didactic engineering was implemented. This was accomplished by means of the design and application of didactic sequences as support for the inclusion of disabled people to the educational system from an interactive mediation of learning and teaching of mathematics. The results demonstrate that people with Down syndrome also manage to learn mathematical concepts and notions at a different rhythm.
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institution Revista de Investigación, Desarrollo e Innovación (RIDI)
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publishDate 2016
publisher Universidad Pedagógica y Tecnológica de Colombia
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spelling oai:oai.revistas.uptc.edu.co:article-56022022-06-15T15:52:12Z Mathematics for diversity: a historical, epistemological, and cognitive study of a perimeter and area concepts Matemáticas para la diversidad: un estudio histórico, epistemológico, didáctico y cognitivo sobre perímetro y área Aldana-Bermúdez, Eliécer López-Mesa, Jorge Hernán perimeter and area Down syndrome didactic teaching sequences teaching engineering. perímetro y área Síndrome de Down secuencias didácticas de enseñanza ingeniería didáctica. This article is a product of a completed and founded research by the Universidad del Quindío and aims to identify historical, epistemological, didactical, and cognitive elements that are involved in learning the concepts of perimeter and area. The study was conducted in the year 2014 with students from the “Fundación Quindiana de Atención Integral” of comprehensive care in Armenia city, Colombia, who have cognitive difficulties or Down syndrome. Theoretical framework of didactic situations by Brousseau was used, and as a methodology the didactic engineering was implemented. This was accomplished by means of the design and application of didactic sequences as support for the inclusion of disabled people to the educational system from an interactive mediation of learning and teaching of mathematics. The results demonstrate that people with Down syndrome also manage to learn mathematical concepts and notions at a different rhythm. Este artículo es producto de una investigación concluida y financiada por la universidad del Quindío y tuvo como objetivo identificar elementos históricos, epistemológicos, didácticos y cognitivos que intervienen en el aprendizaje del concepto de perímetro y de área; el estudio se realizó durante el año 2014 con estudiantes de la Fundación Quindiana de Atención Integral en la ciudad de Armenia Colombia, que presentan dificultades cognitivas o Síndrome Down. Para ello, se utilizó el marco teórico de las situaciones didácticas de Brousseau y como metodología la ingeniería didáctica, mediante el diseño y aplicación de secuencias didácticas como apoyo a la inclusión en el sistema educativo desde una mediación interactiva del aprendizaje y la enseñanza de la matemática. Los resultados demuestran que las personas con Síndrome Down también logran aprender a un ritmo diferente las nociones y conceptos matemáticos. Universidad Pedagógica y Tecnológica de Colombia 2016-07-07 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion application/pdf https://revistas.uptc.edu.co/index.php/investigacion_duitama/article/view/5602 10.19053/20278306.v7.n1.2016.5602 Revista de Investigación, Desarrollo e Innovación; Vol. 7 No. 1 (2016): Julio-Diciembre; 77-92 Revista de Investigación, Desarrollo e Innovación; Vol. 7 Núm. 1 (2016): Julio-Diciembre; 77-92 2389-9417 2027-8306 spa https://revistas.uptc.edu.co/index.php/investigacion_duitama/article/view/5602/4845 Derechos de autor 2016 REVISTA DE INVESTIGACIÓN, DESARROLLO E INNOVACIÓN
spellingShingle perimeter and area
Down syndrome
didactic teaching sequences
teaching engineering.
perímetro y área
Síndrome de Down
secuencias didácticas de enseñanza
ingeniería didáctica.
Aldana-Bermúdez, Eliécer
López-Mesa, Jorge Hernán
Mathematics for diversity: a historical, epistemological, and cognitive study of a perimeter and area concepts
title Mathematics for diversity: a historical, epistemological, and cognitive study of a perimeter and area concepts
title_alt Matemáticas para la diversidad: un estudio histórico, epistemológico, didáctico y cognitivo sobre perímetro y área
title_full Mathematics for diversity: a historical, epistemological, and cognitive study of a perimeter and area concepts
title_fullStr Mathematics for diversity: a historical, epistemological, and cognitive study of a perimeter and area concepts
title_full_unstemmed Mathematics for diversity: a historical, epistemological, and cognitive study of a perimeter and area concepts
title_short Mathematics for diversity: a historical, epistemological, and cognitive study of a perimeter and area concepts
title_sort mathematics for diversity a historical epistemological and cognitive study of a perimeter and area concepts
topic perimeter and area
Down syndrome
didactic teaching sequences
teaching engineering.
perímetro y área
Síndrome de Down
secuencias didácticas de enseñanza
ingeniería didáctica.
topic_facet perimeter and area
Down syndrome
didactic teaching sequences
teaching engineering.
perímetro y área
Síndrome de Down
secuencias didácticas de enseñanza
ingeniería didáctica.
url https://revistas.uptc.edu.co/index.php/investigacion_duitama/article/view/5602
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AT lopezmesajorgehernan mathematicsfordiversityahistoricalepistemologicalandcognitivestudyofaperimeterandareaconcepts
AT aldanabermudezeliecer matematicasparaladiversidadunestudiohistoricoepistemologicodidacticoycognitivosobreperimetroyarea
AT lopezmesajorgehernan matematicasparaladiversidadunestudiohistoricoepistemologicodidacticoycognitivosobreperimetroyarea