Teaching geometry in high school: Didactic materials to favor the study of geometric figures or solids
High school students knew about the mathematical concepts in different ways during their school trajectory. And, if they do not have the possibility of facing challenging problems in order not only to decide which of those concepts to use to solve them, but also to remedy the mistakes that appear in...
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Unión Matemática Argentina - Facultad de Matemática, Astronomía, Física y Computación
2021
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| Acceso en línea: | https://revistas.unc.edu.ar/index.php/REM/article/view/34268 |
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I10-R366-article-34268 |
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I10-R366-article-342682021-08-19T16:10:30Z Teaching geometry in high school: Didactic materials to favor the study of geometric figures or solids La enseñanza de la geometría en la escuela secundaria: materiales didácticos para favorecer el estudio de figuras o cuerpos geométricos Giarrizzo, Alicia Mirta Geometría Proporcionalidad Semejanza Material didáctico Geometry Proportionality Similarity Didactic material High school students knew about the mathematical concepts in different ways during their school trajectory. And, if they do not have the possibility of facing challenging problems in order not only to decide which of those concepts to use to solve them, but also to remedy the mistakes that appear in their productions, it is very likely that they may have difficulty making sense of them. One of the most frequent errors that appear in the resolution of geometric problems is related to the application of direct proportionality to calculate perimeters and areas of geometric figures or areas and volumes of geometric objects when one or more of their linear dimensions vary. Considering the aforementioned, this work tries to share teaching situations that were proposed to high school students. They are based on the construction of geometric figures and geometric shapes of different sizes and forms in order to favor, though their use as didactic material, the learning of contents related to proportionality and similarity. Los estudiantes de secundario conocen los conceptos matemáticos de diferentes maneras durante sus trayectorias escolares. Y, si no tienen la posibilidad de enfrentarse a problemas desafiantes a fin de no solo decidir a cuáles de esos conceptos recurrir para resolverlos, sino también remediar los errores que aparecen en sus producciones, es muy probable que puedan tener dificultades para otorgarles sentido. Uno de los errores más frecuentes que se manifiestan en la resolución de problemas geométricos, se vincula con la aplicación de la proporcionalidad directa para calcular perímetros y áreas de figuras geométricas o áreas y volúmenes de cuerpos geométricos cuando varían una o más de sus dimensiones lineales. Considerando lo antes mencionado, con este trabajo se intenta compartir situaciones de enseñanza que fueron propuestas a estudiantes de un tercer año de secundario. Las mismas se basan en la construcción de figuras geométricas y de cuerpos geométricos de diferentes tamaños y formas para favorecer, a partir de su uso como material didáctico, el aprendizaje de contenidos relacionados con la proporcionalidad y la semejanza. Unión Matemática Argentina - Facultad de Matemática, Astronomía, Física y Computación 2021-07-30 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Artículo evaluado por pares application/pdf https://revistas.unc.edu.ar/index.php/REM/article/view/34268 10.33044/revem.34268 Revista de Educación Matemática; Vol. 36 Núm. 2 (2021); 47-66 1852-2890 0326-8780 spa https://revistas.unc.edu.ar/index.php/REM/article/view/34268/34701 https://creativecommons.org/licenses/by-sa/4.0/ |
| institution |
Universidad Nacional de Córdoba |
| institution_str |
I-10 |
| repository_str |
R-366 |
| container_title_str |
Revista de Educación Matemática |
| language |
Español |
| format |
Artículo revista |
| topic |
Geometría Proporcionalidad Semejanza Material didáctico Geometry Proportionality Similarity Didactic material |
| spellingShingle |
Geometría Proporcionalidad Semejanza Material didáctico Geometry Proportionality Similarity Didactic material Giarrizzo, Alicia Mirta Teaching geometry in high school: Didactic materials to favor the study of geometric figures or solids |
| topic_facet |
Geometría Proporcionalidad Semejanza Material didáctico Geometry Proportionality Similarity Didactic material |
| author |
Giarrizzo, Alicia Mirta |
| author_facet |
Giarrizzo, Alicia Mirta |
| author_sort |
Giarrizzo, Alicia Mirta |
| title |
Teaching geometry in high school: Didactic materials to favor the study of geometric figures or solids |
| title_short |
Teaching geometry in high school: Didactic materials to favor the study of geometric figures or solids |
| title_full |
Teaching geometry in high school: Didactic materials to favor the study of geometric figures or solids |
| title_fullStr |
Teaching geometry in high school: Didactic materials to favor the study of geometric figures or solids |
| title_full_unstemmed |
Teaching geometry in high school: Didactic materials to favor the study of geometric figures or solids |
| title_sort |
teaching geometry in high school: didactic materials to favor the study of geometric figures or solids |
| description |
High school students knew about the mathematical concepts in different ways during their school trajectory. And, if they do not have the possibility of facing challenging problems in order not only to decide which of those concepts to use to solve them, but also to remedy the mistakes that appear in their productions, it is very likely that they may have difficulty making sense of them. One of the most frequent errors that appear in the resolution of geometric problems is related to the application of direct proportionality to calculate perimeters and areas of geometric figures or areas and volumes of geometric objects when one or more of their linear dimensions vary. Considering the aforementioned, this work tries to share teaching situations that were proposed to high school students. They are based on the construction of geometric figures and geometric shapes of different sizes and forms in order to favor, though their use as didactic material, the learning of contents related to proportionality and similarity. |
| publisher |
Unión Matemática Argentina - Facultad de Matemática, Astronomía, Física y Computación |
| publishDate |
2021 |
| url |
https://revistas.unc.edu.ar/index.php/REM/article/view/34268 |
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2024-09-03T22:36:50Z |
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