The overgeneralization of linear models among university students´ mathematical productions: a long-term study

Autores
Esteley, Cristina Beatriz; Villarreal, Monica Ester; Alagia, Humberto Raul
Año de publicación
2010
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Over the last several years, we have been exploring and researching on a phenomenon that occurs among undergraduate students which we called extension of linear models to non-linear contexts or overgeneralization of linear models. This phenomenon appears when some students use linear representations in situations that are non-linear. In a first phase, we recognized and characterized the overgeneralization among agronomy majors while working with different kind of problems. This process let us raise some conjectures about the statement of the problems that were studied in a second phase. In a third phase we conducted some interviews in order to deep our understanding. The study allowed us to discuss: a) the robustness and broadness of the linear models as tacit models among university students, b) the emergence of a tension between unrealistic tasks posed by the teacher/researcher and the students? realistic interpretation of it, and c) some considerations about the teaching environment at university level.
Fil: Esteley, Cristina Beatriz. Universidad Nacional de Villa María; Argentina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física. Grupo de Enseñanza de la Ciencia y la Tecnología; Argentina
Fil: Villarreal, Monica Ester. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física. Grupo de Enseñanza de la Ciencia y la Tecnología; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba; Argentina
Fil: Alagia, Humberto Raul. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física. Grupo de Enseñanza de la Ciencia y la Tecnología; Argentina
Materia
MATHEMATICAL MODELING
ILLUSION OF LINEARITY
STUDENTS' PRODUCTIONS
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/111816
Acceder
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repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling The overgeneralization of linear models among university students´ mathematical productions: a long-term studyEsteley, Cristina BeatrizVillarreal, Monica EsterAlagia, Humberto RaulMATHEMATICAL MODELINGILLUSION OF LINEARITYSTUDENTS' PRODUCTIONShttps://purl.org/becyt/ford/5.3https://purl.org/becyt/ford/5Over the last several years, we have been exploring and researching on a phenomenon that occurs among undergraduate students which we called extension of linear models to non-linear contexts or overgeneralization of linear models. This phenomenon appears when some students use linear representations in situations that are non-linear. In a first phase, we recognized and characterized the overgeneralization among agronomy majors while working with different kind of problems. This process let us raise some conjectures about the statement of the problems that were studied in a second phase. In a third phase we conducted some interviews in order to deep our understanding. The study allowed us to discuss: a) the robustness and broadness of the linear models as tacit models among university students, b) the emergence of a tension between unrealistic tasks posed by the teacher/researcher and the students? realistic interpretation of it, and c) some considerations about the teaching environment at university level.Fil: Esteley, Cristina Beatriz. Universidad Nacional de Villa María; Argentina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física. Grupo de Enseñanza de la Ciencia y la Tecnología; ArgentinaFil: Villarreal, Monica Ester. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física. Grupo de Enseñanza de la Ciencia y la Tecnología; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba; ArgentinaFil: Alagia, Humberto Raul. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física. Grupo de Enseñanza de la Ciencia y la Tecnología; ArgentinaPublisher Routledge Taylor and Francis Group2010-01-21info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/111816Esteley, Cristina Beatriz; Villarreal, Monica Ester; Alagia, Humberto Raul; The overgeneralization of linear models among university students´ mathematical productions: a long-term study; Publisher Routledge Taylor and Francis Group; Mathematical Thinking and Learning; 12; 1; 21-1-2010; 86-1081098-60651532-7833CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.tandfonline.com/doi/abs/10.1080/10986060903465988info:eu-repo/semantics/altIdentifier/doi/10.1080/10986060903465988info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:53:23Zoai:ri.conicet.gov.ar:11336/111816instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 09:53:23.379CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv The overgeneralization of linear models among university students´ mathematical productions: a long-term study
title The overgeneralization of linear models among university students´ mathematical productions: a long-term study
spellingShingle The overgeneralization of linear models among university students´ mathematical productions: a long-term study
Esteley, Cristina Beatriz
MATHEMATICAL MODELING
ILLUSION OF LINEARITY
STUDENTS' PRODUCTIONS
title_short The overgeneralization of linear models among university students´ mathematical productions: a long-term study
title_full The overgeneralization of linear models among university students´ mathematical productions: a long-term study
title_fullStr The overgeneralization of linear models among university students´ mathematical productions: a long-term study
title_full_unstemmed The overgeneralization of linear models among university students´ mathematical productions: a long-term study
title_sort The overgeneralization of linear models among university students´ mathematical productions: a long-term study
dc.creator.none.fl_str_mv Esteley, Cristina Beatriz
Villarreal, Monica Ester
Alagia, Humberto Raul
author Esteley, Cristina Beatriz
author_facet Esteley, Cristina Beatriz
Villarreal, Monica Ester
Alagia, Humberto Raul
author_role author
author2 Villarreal, Monica Ester
Alagia, Humberto Raul
author2_role author
author
dc.subject.none.fl_str_mv MATHEMATICAL MODELING
ILLUSION OF LINEARITY
STUDENTS' PRODUCTIONS
topic MATHEMATICAL MODELING
ILLUSION OF LINEARITY
STUDENTS' PRODUCTIONS
purl_subject.fl_str_mv https://purl.org/becyt/ford/5.3
https://purl.org/becyt/ford/5
dc.description.none.fl_txt_mv Over the last several years, we have been exploring and researching on a phenomenon that occurs among undergraduate students which we called extension of linear models to non-linear contexts or overgeneralization of linear models. This phenomenon appears when some students use linear representations in situations that are non-linear. In a first phase, we recognized and characterized the overgeneralization among agronomy majors while working with different kind of problems. This process let us raise some conjectures about the statement of the problems that were studied in a second phase. In a third phase we conducted some interviews in order to deep our understanding. The study allowed us to discuss: a) the robustness and broadness of the linear models as tacit models among university students, b) the emergence of a tension between unrealistic tasks posed by the teacher/researcher and the students? realistic interpretation of it, and c) some considerations about the teaching environment at university level.
Fil: Esteley, Cristina Beatriz. Universidad Nacional de Villa María; Argentina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física. Grupo de Enseñanza de la Ciencia y la Tecnología; Argentina
Fil: Villarreal, Monica Ester. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física. Grupo de Enseñanza de la Ciencia y la Tecnología; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba; Argentina
Fil: Alagia, Humberto Raul. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física. Grupo de Enseñanza de la Ciencia y la Tecnología; Argentina
description Over the last several years, we have been exploring and researching on a phenomenon that occurs among undergraduate students which we called extension of linear models to non-linear contexts or overgeneralization of linear models. This phenomenon appears when some students use linear representations in situations that are non-linear. In a first phase, we recognized and characterized the overgeneralization among agronomy majors while working with different kind of problems. This process let us raise some conjectures about the statement of the problems that were studied in a second phase. In a third phase we conducted some interviews in order to deep our understanding. The study allowed us to discuss: a) the robustness and broadness of the linear models as tacit models among university students, b) the emergence of a tension between unrealistic tasks posed by the teacher/researcher and the students? realistic interpretation of it, and c) some considerations about the teaching environment at university level.
publishDate 2010
dc.date.none.fl_str_mv 2010-01-21
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/111816
Esteley, Cristina Beatriz; Villarreal, Monica Ester; Alagia, Humberto Raul; The overgeneralization of linear models among university students´ mathematical productions: a long-term study; Publisher Routledge Taylor and Francis Group; Mathematical Thinking and Learning; 12; 1; 21-1-2010; 86-108
1098-6065
1532-7833
CONICET Digital
CONICET
url http://hdl.handle.net/11336/111816
identifier_str_mv Esteley, Cristina Beatriz; Villarreal, Monica Ester; Alagia, Humberto Raul; The overgeneralization of linear models among university students´ mathematical productions: a long-term study; Publisher Routledge Taylor and Francis Group; Mathematical Thinking and Learning; 12; 1; 21-1-2010; 86-108
1098-6065
1532-7833
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://www.tandfonline.com/doi/abs/10.1080/10986060903465988
info:eu-repo/semantics/altIdentifier/doi/10.1080/10986060903465988
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Publisher Routledge Taylor and Francis Group
publisher.none.fl_str_mv Publisher Routledge Taylor and Francis Group
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.070432

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