Levels of geometric reasoning in students of a rural school with multigrade classrooms in the municipality of Hualañé

This research focuses on the analysis of the levels of mathematical reasoning, according to Van Hiele Model, and the degrees of acquisition obtained by the fifth and sixth grade students of a rural school with multigrade classrooms, in the development of a didactic unit of perimeter and area of quad...

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Detalles Bibliográficos
Autor: Bustamante-Valdés, Matías Nicolás
Tipo de recurso: tesis de maestría
Estado:Versión publicada
Fecha de publicación:2018
País:Chile
OAI Identifier:oai:repositorio.anid.cl:10533/220506
Acceso en línea:https://hdl.handle.net/10533/220506
Access Level:acceso abierto
Palabra clave:Humanidades
Otras Humanidades
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dc.title.es_CL.fl_str_mv Levels of geometric reasoning in students of a rural school with multigrade classrooms in the municipality of Hualañé
Niveles de razonamiento geométrico en estudiantes de una escuela rural con aulas multigrado de la comuna de Hualañé
dc.title.none.fl_str_mv Levels of geometric reasoning in students of a rural school with multigrade classrooms in the municipality of hualañé
niveles de razonamiento geométrico en estudiantes de una escuela rural con aulas multigrado de la comuna de hualañé
title Levels of geometric reasoning in students of a rural school with multigrade classrooms in the municipality of Hualañé
spellingShingle Levels of geometric reasoning in students of a rural school with multigrade classrooms in the municipality of Hualañé
Bustamante-Valdés, Matías Nicolás
Humanidades
Otras Humanidades
title_short Levels of geometric reasoning in students of a rural school with multigrade classrooms in the municipality of Hualañé
title_full Levels of geometric reasoning in students of a rural school with multigrade classrooms in the municipality of Hualañé
title_fullStr Levels of geometric reasoning in students of a rural school with multigrade classrooms in the municipality of Hualañé
title_full_unstemmed Levels of geometric reasoning in students of a rural school with multigrade classrooms in the municipality of Hualañé
title_sort Levels of geometric reasoning in students of a rural school with multigrade classrooms in the municipality of Hualañé
dc.creator.none.fl_str_mv Bustamante-Valdés, Matías Nicolás
author Bustamante-Valdés, Matías Nicolás
author_facet Bustamante-Valdés, Matías Nicolás
author_role author
dc.contributor.advisor.none.fl_str_mv Lodhi, Atif
Caamaño-Espinoza, Carlos León
dc.contributor.institution.es_CL.fl_str_mv UNIVERSIDAD CATOLICA DEL MAULE
dc.subject.oecd1n.es_CL.fl_str_mv Humanidades
topic Humanidades
Otras Humanidades
dc.subject.oecd2n.es_CL.fl_str_mv Otras Humanidades
description This research focuses on the analysis of the levels of mathematical reasoning, according to Van Hiele Model, and the degrees of acquisition obtained by the fifth and sixth grade students of a rural school with multigrade classrooms, in the development of a didactic unit of perimeter and area of quadrilaterals. The methodology of this research is quantitative with qualitative aspect, having a pre- experimental design, and using pre and post-test. This study is based on the premise that has emerged from various studies conducted by Gutiérrez (2009), who point out that in the fifth and sixth basic year courses (with students who are at a level of development and an adequate performance) there is a transition’s period between level 1 and beginnings of level 2 of geometric reasoning, which are the levels considered in this study. This topic has not been investigated with multigrade classroom students yet. The results of the attributes before and after the didactic unit of each student are described, and also, according to their educational level and multigrade course, positive results are observed, generating significant learning in the students, that comes from the geometric reasoning, acquisition levels that match their educational level.
publishDate 2018
dc.date.accessioned.none.fl_str_mv 2018-09-14T17:53:31Z
2022-08-16T20:59:21Z
dc.date.available.none.fl_str_mv 2018-09-14T17:53:31Z
2022-08-16T20:59:21Z
dc.date.issued.es_CL.fl_str_mv 2018
dc.type.none.fl_str_mv Tesis Magíster
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dc.type.openaire.none.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.tesis.none.fl_str_mv Tesis
format masterThesis
status_str publishedVersion
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identifier_str_mv 50160088
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spelling UNIVERSIDAD CATOLICA DEL MAULEBustamante-Valdés, Matías Nicolás2018https://hdl.handle.net/10533/220506http://purl.org/coar/access_right/c_abf2Otras HumanidadesHumanidadesLevels of geometric reasoning in students of a rural school with multigrade classrooms in the municipality of HualañéLodhi, AtifCaamaño-Espinoza, Carlos LeónUNIVERSIDAD CATOLICA DEL MAULEChileBustamante-Valdés, Matías Nicolás2018-09-14T17:53:31Z2022-08-16T20:59:21Z2018-09-14T17:53:31Z2022-08-16T20:59:21Z2018This research focuses on the analysis of the levels of mathematical reasoning, according to Van Hiele Model, and the degrees of acquisition obtained by the fifth and sixth grade students of a rural school with multigrade classrooms, in the development of a didactic unit of perimeter and area of quadrilaterals. The methodology of this research is quantitative with qualitative aspect, having a pre- experimental design, and using pre and post-test. This study is based on the premise that has emerged from various studies conducted by Gutiérrez (2009), who point out that in the fifth and sixth basic year courses (with students who are at a level of development and an adequate performance) there is a transition’s period between level 1 and beginnings of level 2 of geometric reasoning, which are the levels considered in this study. This topic has not been investigated with multigrade classroom students yet. The results of the attributes before and after the didactic unit of each student are described, and also, according to their educational level and multigrade course, positive results are observed, generating significant learning in the students, that comes from the geometric reasoning, acquisition levels that match their educational level.Esta investigación se centra en el análisis de los niveles de razonamiento matemático, de acuerdo al Modelo de Van Hiele, y de los grados de adquisición que obtienen los estudiantes de quinto y sexto básico de una escuela rural con aulas multigrado, en el desarrollo de una unidad didáctica de perímetro y área de cuadriláteros. La metodología de esta investigación es cuantitativa con aspecto cualitativo, con un diseño pre-experimental, y usando pre y post-test. Este estudio se basa en las premisas que han surgido a partir de las diversas investigaciones de Gutiérrez (2009), que señalan que en los cursos de quinto y sexto año básico (con estudiantes que están en un nivel de desarrollo y un rendimiento adecuado) hay un periodo de transición entre el nivel 1 e inicios del nivel 2 de razonamiento geométrico, que son los considerados en este estudio. Este tema no ha sido investigado con estudiantes de aula de multigrado. Se describen resultados de los atributos antes y después de la unidad didáctica de cada estudiante, y también, de acuerdo a su nivel educacional y curso multigrado. Se observan resultados positivos, se generan aprendizajes significativos en los estudiantes a partir del razonamiento geométrico, y se logra alcanzar grados de adquisición acordes a su nivel educacional.PFCHA-BecasPFCHA-Becas50160088https://hdl.handle.net/10533/220506instname: Conicytreponame: Repositorio Digital RI2.0info:eu-repo/grantAgreement//50160088info:eu-repo/semantics/dataset/hdl.handle.net/10533/93488info:eu-repo/semantics/openAccessAttribution-NonCommercial-NoDerivs 3.0 Chilehttp://creativecommons.org/licenses/by-nc-nd/3.0/cl/HumanidadesOtras HumanidadesLevels of geometric reasoning in students of a rural school with multigrade classrooms in the municipality of HualañéNiveles de razonamiento geométrico en estudiantes de una escuela rural con aulas multigrado de la comuna de HualañéLevels of geometric reasoning in students of a rural school with multigrade classrooms in the municipality of hualañéniveles de razonamiento geométrico en estudiantes de una escuela rural con aulas multigrado de la comuna de hualañéTesis Magísterinfo:eu-repo/semantics/masterThesisinfo:eu-repo/semantics/publishedVersionTesisTesishttps://hdl.handle.net/10533/220506PFCHA-Becasc0e6d8bc-42a6-407f-ad08-7c15ad44bd32virtual::57346-1c0e6d8bc-42a6-407f-ad08-7c15ad44bd32virtual::57346-1ORIGINALTesis final.pdfapplication/pdf9203863https://repositorio.anid.cl/bitstreams/35c448ff-4c1a-49b0-8702-191723ce5aed/downloadbc2a838f43a3fb26fe4098da7baf58d4MD51CC-LICENSElicense_rdfapplication/octet-stream1232https://repositorio.anid.cl/bitstreams/e27d6401-018b-439d-847e-04c2dd574064/downloadf97bcfdf58f3e17b5cec231112dab5b1MD52LICENSElicense.txttext/plain1779https://repositorio.anid.cl/bitstreams/cc37f510-6d91-4376-965a-8f256371d7fd/download593a6e7305c66c56041a9f9e15a649c1MD53TEXTTesis final.pdf.txtExtracted texttext/plain236807https://repositorio.anid.cl/bitstreams/181714b8-4153-450a-80ba-9d1bd792ae77/download88117a13c5c891e34a31276c0d5287ceMD54THUMBNAILTesis final.pdf.jpgIM Thumbnailimage/jpeg1779https://repositorio.anid.cl/bitstreams/b65b6fbd-0f82-4123-8d9a-7ee47005643a/downloaddd56644f78f7992bd66886ddc82bf09aMD5510533/220506oai:repositorio.anid.cl:10533/2205062023-07-24 17:18:21.756http://creativecommons.org/licenses/by-nc-nd/3.0/cl/info:eu-repo/semantics/openAccesshttps://repositorio.anid.clRepositorio ANIDaletelier@anid.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