Guía metodológica basada en el arte lúdico para mejorar el aprendizaje de la Matemática
URL: https://www.investigarmqr.com/ojs/index.php/mqr/article/view/1704/5376
| Autores: | , , |
|---|---|
| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2024 |
| País: | Ecuador |
| Recursos: | Universidad Bolivariana del Ecuador |
| Repositorio: | Repositorio Universidad Bolivariana del Ecuador |
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| Palavra-chave: | SOCIAL SCIENCES::Social sciences::Education INTERDISCIPLINARY RESEARCH AREAS::Caring sciences::Social welfare/social pedagogics |
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Guía metodológica basada en el arte lúdico para mejorar el aprendizaje de la Matemática |
| dc.title.alternative.none.fl_str_mv |
Methodological guide based on playful art to improve mathematics learning |
| title |
Guía metodológica basada en el arte lúdico para mejorar el aprendizaje de la Matemática |
| spellingShingle |
Guía metodológica basada en el arte lúdico para mejorar el aprendizaje de la Matemática Lozano Guallpa, María Carmen SOCIAL SCIENCES::Social sciences::Education INTERDISCIPLINARY RESEARCH AREAS::Caring sciences::Social welfare/social pedagogics |
| title_short |
Guía metodológica basada en el arte lúdico para mejorar el aprendizaje de la Matemática |
| title_full |
Guía metodológica basada en el arte lúdico para mejorar el aprendizaje de la Matemática |
| title_fullStr |
Guía metodológica basada en el arte lúdico para mejorar el aprendizaje de la Matemática |
| title_full_unstemmed |
Guía metodológica basada en el arte lúdico para mejorar el aprendizaje de la Matemática |
| title_sort |
Guía metodológica basada en el arte lúdico para mejorar el aprendizaje de la Matemática |
| dc.creator.none.fl_str_mv |
Lozano Guallpa, María Carmen Cajamarca Guartazaca, Byron Gabriel Echeverría Guzmán, Angel Yasmil |
| author |
Lozano Guallpa, María Carmen |
| author_facet |
Lozano Guallpa, María Carmen Cajamarca Guartazaca, Byron Gabriel Echeverría Guzmán, Angel Yasmil |
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author |
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Cajamarca Guartazaca, Byron Gabriel Echeverría Guzmán, Angel Yasmil |
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author author |
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SOCIAL SCIENCES::Social sciences::Education INTERDISCIPLINARY RESEARCH AREAS::Caring sciences::Social welfare/social pedagogics |
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SOCIAL SCIENCES::Social sciences::Education INTERDISCIPLINARY RESEARCH AREAS::Caring sciences::Social welfare/social pedagogics |
| description |
URL: https://www.investigarmqr.com/ojs/index.php/mqr/article/view/1704/5376 |
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2024 |
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2024-09-03 |
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2026-01-15T18:24:40Z |
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2026-01-15T18:24:40Z |
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Lozano-Guallpa, M. C., Cajamarca-Guartazaca, B. G., & Echeverría-Guzmán, A. Y. (2024). Guía metodológica basada en el arte lúdico para mejorar el aprendizaje de la Matemática. MQRInvestigar, 8(3), 4749–4763. https://doi.org/10.56048/MQR20225.8.3.2024.4749-4763 |
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2588-0659 |
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https://dspace.ube.edu.ec/handle/123456789/2763 |
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Lozano-Guallpa, M. C., Cajamarca-Guartazaca, B. G., & Echeverría-Guzmán, A. Y. (2024). Guía metodológica basada en el arte lúdico para mejorar el aprendizaje de la Matemática. MQRInvestigar, 8(3), 4749–4763. https://doi.org/10.56048/MQR20225.8.3.2024.4749-4763 2588-0659 |
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2026-01-15T18:24:40Z2026-01-15T18:24:40Z2024-09-03Lozano-Guallpa, M. C., Cajamarca-Guartazaca, B. G., & Echeverría-Guzmán, A. Y. (2024). Guía metodológica basada en el arte lúdico para mejorar el aprendizaje de la Matemática. MQRInvestigar, 8(3), 4749–4763. https://doi.org/10.56048/MQR20225.8.3.2024.4749-47632588-0659https://dspace.ube.edu.ec/handle/123456789/2763URL: https://www.investigarmqr.com/ojs/index.php/mqr/article/view/1704/5376La enseñanza de las Matemáticas ha sido históricamente un desafío considerable para los docentes tutores, pues ella implica un proceso mecánico, donde va más allá de eso, un proceso de razonamiento lógico, y su didáctica debe estar en función de las necesidades propias de los estudiantes, por lo cual, el presente estudio tiene como propósito evaluar la implementación de una guía metodológica basada en el arte lúdico, permitido para mejorar el aprendizaje de Matemáticas en estudiantes de octavo grado en la Unidad Educativa Sinaí, Morona Santiago. Para alcanzar tal fin, la investigación se empleó desde un enfoque cuantitativo, con un diseño no experimental y de corte transversal. Se usó la técnica de la encuesta para la muestra sujeta a estudio, de 30 estudiantes, a la misma se le aplicó un instrumento dicotómico contentivo de 15 ítems, Sirvió para medir el conocimiento y percepción respecto a las metodologías empleadas para la enseñanza y aprendizaje de las matemáticas. Los resultados muestran una percepción positiva hacia las actividades lúdicas y su impacto en la comprensión de conceptos matemáticos complejos, si bien persisten desafíos en la diversificación de recursos didácticos. Se concluye: el arte lúdico facilita el aprendizaje y mejora el rendimiento académico.Universidad Bolivariana del EcuadoresMQRInvestigarPM-PFTP-B23-01P1-20; 0104073861http://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessSOCIAL SCIENCES::Social sciences::EducationINTERDISCIPLINARY RESEARCH AREAS::Caring sciences::Social welfare/social pedagogicsGuía metodológica basada en el arte lúdico para mejorar el aprendizaje de la MatemáticaMethodological guide based on playful art to improve mathematics learninginfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlereponame:Repositorio Universidad Bolivariana del Ecuadorinstname:Universidad Bolivariana del Ecuadorinstacron:UBELozano Guallpa, María CarmenCajamarca Guartazaca, Byron GabrielEcheverría Guzmán, Angel YasmilORIGINALGuia metodologica basada en el arte ludico para mejorar el aprendizaje.pdfGuia metodologica basada en el arte ludico para mejorar el 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 |
| score |
15,228081 |