Dynamic geometry, implication and abduction: a case study

In this paper we illustrate the role of dynamic geometry as an environment that propitiates the use of empirical explorations to favor learning to prove. This is possible thanks to abductive processes, related to the establishment of implications that university students of a plane geometry course c...

Full description

Autores:
Samper, Carmen
Camargo, Leonor
Perry, Patricia
Molina, Óscar
Tipo de recurso:
Fecha de publicación:
2012
Institución:
Universidad de los Andes
Repositorio:
Séneca: repositorio Uniandes
Idioma:
eng
OAI Identifier:
oai:repositorio.uniandes.edu.co:1992/32057
Acceso en línea:
http://hdl.handle.net/1992/32057
http://funes.uniandes.edu.co/2052/
Palabra clave:
Geometría (matemáticas superiores)
Razonamiento
Estudio de casos
Software
Educación / Licenciaturas
Rights
openAccess
License
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
id UNIANDES2_8527dca14f3354c42cc9411073514208
oai_identifier_str oai:repositorio.uniandes.edu.co:1992/32057
network_acronym_str UNIANDES2
network_name_str Séneca: repositorio Uniandes
repository_id_str
dc.title.es_CO.fl_str_mv Dynamic geometry, implication and abduction: a case study
title Dynamic geometry, implication and abduction: a case study
spellingShingle Dynamic geometry, implication and abduction: a case study
Geometría (matemáticas superiores)
Razonamiento
Estudio de casos
Software
Educación / Licenciaturas
title_short Dynamic geometry, implication and abduction: a case study
title_full Dynamic geometry, implication and abduction: a case study
title_fullStr Dynamic geometry, implication and abduction: a case study
title_full_unstemmed Dynamic geometry, implication and abduction: a case study
title_sort Dynamic geometry, implication and abduction: a case study
dc.creator.fl_str_mv Samper, Carmen
Camargo, Leonor
Perry, Patricia
Molina, Óscar
dc.contributor.author.none.fl_str_mv Samper, Carmen
Camargo, Leonor
Perry, Patricia
Molina, Óscar
dc.contributor.other.none.fl_str_mv Tso, T.Y.
dc.subject.keyword.es_CO.fl_str_mv Geometría (matemáticas superiores)
Razonamiento
Estudio de casos
Software
topic Geometría (matemáticas superiores)
Razonamiento
Estudio de casos
Software
Educación / Licenciaturas
dc.subject.themes.none.fl_str_mv Educación / Licenciaturas
description In this paper we illustrate the role of dynamic geometry as an environment that propitiates the use of empirical explorations to favor learning to prove. This is possible thanks to abductive processes, related to the establishment of implications that university students of a plane geometry course carry out when, supported by a dynamic geometry program, they solve a problem in which they must discover a geometric fact, formulate a conjecture and prove it.
publishDate 2012
dc.date.issued.none.fl_str_mv 2012
dc.date.accessioned.none.fl_str_mv 2020-06-01T16:01:36Z
dc.date.available.none.fl_str_mv 2020-06-01T16:01:36Z
dc.type.spa.fl_str_mv Documento de Conferencia
dc.type.coar.fl_str_mv http://purl.org/coar/resource_type/c_c94f
dc.type.coarversion.fl_str_mv http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.driver.spa.fl_str_mv info:eu-repo/semantics/conferenceObject
dc.type.content.spa.fl_str_mv Text
dc.identifier.citation.none.fl_str_mv Samper, Carmen; Camargo, Leonor; Perry, Patricia; Molina, Óscar (2012). Dynamic geometry, implication and abduction: a case study. En Tso, T.Y. (Ed.), Proceedings of the 36th Conference of the International Group for the Psychology of Mathematics Educatio
dc.identifier.uri.none.fl_str_mv http://hdl.handle.net/1992/32057
dc.identifier.doi.none.fl_str_mv 10.57784/1992/32057
dc.identifier.url.es_CO.fl_str_mv http://funes.uniandes.edu.co/2052/
dc.identifier.instname.spa.fl_str_mv instname:Universidad de los Andes
dc.identifier.reponame.spa.fl_str_mv reponame:Repositorio Institucional Séneca
dc.identifier.repourl.spa.fl_str_mv repourl:https://repositorio.uniandes.edu.co/
identifier_str_mv Samper, Carmen; Camargo, Leonor; Perry, Patricia; Molina, Óscar (2012). Dynamic geometry, implication and abduction: a case study. En Tso, T.Y. (Ed.), Proceedings of the 36th Conference of the International Group for the Psychology of Mathematics Educatio
10.57784/1992/32057
instname:Universidad de los Andes
reponame:Repositorio Institucional Séneca
repourl:https://repositorio.uniandes.edu.co/
url http://hdl.handle.net/1992/32057
http://funes.uniandes.edu.co/2052/
dc.language.iso.es_CO.fl_str_mv eng
language eng
dc.rights.license.spa.fl_str_mv Attribution-NonCommercial-NoDerivatives 4.0 Internacional
dc.rights.uri.*.fl_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
dc.rights.coar.spa.fl_str_mv http://purl.org/coar/access_right/c_abf2
rights_invalid_str_mv Attribution-NonCommercial-NoDerivatives 4.0 Internacional
http://creativecommons.org/licenses/by-nc-sa/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.mimetype.none.fl_str_mv application/pdf
dc.coverage.spatial.es_CO.fl_str_mv Taipei, Taiwan
dc.publisher.faculty.none.fl_str_mv Facultad de Educación
dc.source.es_CO.fl_str_mv instname:Universidad de los Andes
reponame:Repositorio Institucional Séneca
instname_str Universidad de los Andes
institution Universidad de los Andes
reponame_str Repositorio Institucional Séneca
collection Repositorio Institucional Séneca
bitstream.url.fl_str_mv https://repositorio.uniandes.edu.co/bitstreams/83b7a6cf-4a81-44fe-a089-f5ac4f979094/download
https://repositorio.uniandes.edu.co/bitstreams/b38690c7-d923-4760-be6b-68f099644e35/download
https://repositorio.uniandes.edu.co/bitstreams/3bfafee2-2fc8-4060-a017-a0ad373bc25a/download
https://repositorio.uniandes.edu.co/bitstreams/36a62fb5-ee52-4587-99ad-a2a8f6cc80a9/download
bitstream.checksum.fl_str_mv d523d5f6c3ca37db21f8786acd943ca4
d022b5f22d050de3b521012536f94071
6848d7731e7b291f8380adabe1020b85
3712501b71477eef138f931c5a7aac67
bitstream.checksumAlgorithm.fl_str_mv MD5
MD5
MD5
MD5
repository.name.fl_str_mv Repositorio institucional Séneca
repository.mail.fl_str_mv adminrepositorio@uniandes.edu.co
_version_ 1812133888271581184
spelling Attribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-sa/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Samper, Carmend353f5b1-556a-4701-b3ec-b82353072c2d600Camargo, Leonor27b9c994-272d-4362-8d4d-d62ec5397a20600Perry, Patricia677b8cea-66b0-4754-b5cf-9f3ad61d6a84500Molina, Óscarfa3a1779-391c-4b73-ac14-0d10f3595775600Tso, T.Y.Taipei, Taiwan2020-06-01T16:01:36Z2020-06-01T16:01:36Z2012Samper, Carmen; Camargo, Leonor; Perry, Patricia; Molina, Óscar (2012). Dynamic geometry, implication and abduction: a case study. En Tso, T.Y. (Ed.), Proceedings of the 36th Conference of the International Group for the Psychology of Mathematics Educatiohttp://hdl.handle.net/1992/3205710.57784/1992/32057http://funes.uniandes.edu.co/2052/instname:Universidad de los Andesreponame:Repositorio Institucional Sénecarepourl:https://repositorio.uniandes.edu.co/In this paper we illustrate the role of dynamic geometry as an environment that propitiates the use of empirical explorations to favor learning to prove. This is possible thanks to abductive processes, related to the establishment of implications that university students of a plane geometry course carry out when, supported by a dynamic geometry program, they solve a problem in which they must discover a geometric fact, formulate a conjecture and prove it.application/pdfenginstname:Universidad de los Andesreponame:Repositorio Institucional SénecaDynamic geometry, implication and abduction: a case studyDocumento de Conferenciainfo:eu-repo/semantics/conferenceObjecthttp://purl.org/coar/resource_type/c_c94fhttp://purl.org/coar/version/c_970fb48d4fbd8a85TextGeometría (matemáticas superiores)RazonamientoEstudio de casosSoftwareEducación / LicenciaturasFacultad de EducaciónPublicationTEXTDynamic-geometry.pdf.txtDynamic-geometry.pdf.txtExtracted texttext/plain19198https://repositorio.uniandes.edu.co/bitstreams/83b7a6cf-4a81-44fe-a089-f5ac4f979094/downloadd523d5f6c3ca37db21f8786acd943ca4MD53ORIGINALDynamic-geometry.pdfDynamic-geometry.pdfapplication/pdf98037https://repositorio.uniandes.edu.co/bitstreams/b38690c7-d923-4760-be6b-68f099644e35/downloadd022b5f22d050de3b521012536f94071MD52THUMBNAILDynamic-geometry.pdf.jpgDynamic-geometry.pdf.jpgIM Thumbnailimage/jpeg27410https://repositorio.uniandes.edu.co/bitstreams/3bfafee2-2fc8-4060-a017-a0ad373bc25a/download6848d7731e7b291f8380adabe1020b85MD54LICENSElicense.txtlicense.txttext/plain; charset=utf-81865https://repositorio.uniandes.edu.co/bitstreams/36a62fb5-ee52-4587-99ad-a2a8f6cc80a9/download3712501b71477eef138f931c5a7aac67MD511992/32057oai:repositorio.uniandes.edu.co:1992/320572024-09-10 11:41:16.352http://creativecommons.org/licenses/by-nc-sa/4.0/open.accesshttps://repositorio.uniandes.edu.coRepositorio institucional Sénecaadminrepositorio@uniandes.edu.coUG9yIGludGVybWVkaW8gZGVsIHByZXNlbnRlIGRvY3VtZW50byBlbiBtaSBjYWxpZGFkIGRlIGF1dG9yIG8gdGl0dWxhciBkZSBsb3MgZGVyZWNob3MgZGUgcHJvcGllZGFkIGludGVsZWN0dWFsIGRlIGxhIG9icmEgcXVlIGFkanVudG8sIGF1dG9yaXpvIGEgbGEgVW5pdmVyc2lkYWQgZGUgTG9zIEFuZGVzIHBhcmEgcXVlIHV0aWxpY2UgZW4gdG9kYXMgc3VzIGZvcm1hcywgbG9zIGRlcmVjaG9zIHBhdHJpbW9uaWFsZXMgZGUgcmVwcm9kdWNjacOzbiwgY29tdW5pY2FjacOzbiBww7pibGljYSwgdHJhbnNmb3JtYWNpw7NuIHkgZGlzdHJpYnVjacOzbiAoYWxxdWlsZXIsIHByw6lzdGFtbyBww7pibGljbyBlIGltcG9ydGFjacOzbikgcXVlIG1lIGNvcnJlc3BvbmRlbiBjb21vIGNyZWFkb3IgbyB0aXR1bGFyIGRlIGxhIG9icmEgb2JqZXRvIGRlbCBwcmVzZW50ZSBkb2N1bWVudG8uCgpMYSBwcmVzZW50ZSBhdXRvcml6YWNpw7NuIHNlIGRhIHNpbiByZXN0cmljY2nDs24gZGUgdGllbXBvIG5pIHRlcnJpdG9yaW8geSBkZSBtYW5lcmEgZ3JhdHVpdGEuIEVudGllbmRvIHF1ZSBwdWVkbyBzb2xpY2l0YXIgYSBsYSBVbml2ZXJzaWRhZCBkZSBsb3MgQW5kZXMgcmV0aXJhciBtaSBvYnJhIGVuIGN1YWxxdWllciBtb21lbnRvIHRhbnRvIGRlIGxvcyByZXBvc2l0b3Jpb3MgY29tbyBkZWwgY2F0w6Fsb2dvIHNpIGFzw60gbG8gZGVjaWRvLgoKTGEgcHJlc2VudGUgYXV0b3JpemFjacOzbiBzZSBvdG9yZ2EgZGUgbWFuZXJhIG5vIGV4Y2x1c2l2YSwgeSBsYSBtaXNtYSBubyBpbXBsaWNhIHRyYW5zZmVyZW5jaWEgZGUgbWlzIGRlcmVjaG9zIHBhdHJpbW9uaWFsZXMgZW4gZmF2b3IgZGUgbGEgVW5pdmVyc2lkYWQsIHBvciBsbyBxdWUgcG9kcsOpIHV0aWxpemFyIHkgZXhwbG90YXIgbGEgb2JyYSBkZSBsYSBtYW5lcmEgcXVlIG1lam9yIGNvbnNpZGVyZS4gTGEgcHJlc2VudGUgYXV0b3JpemFjacOzbiBubyBpbXBsaWNhIGxhIGNlc2nDs24gZGUgbG9zIGRlcmVjaG9zIG1vcmFsZXMgeSBsYSBVbml2ZXJzaWRhZCBkZSBsb3MgQW5kZXMgbG9zIHJlY29ub2NlcsOhIHkgdmVsYXLDoSBwb3IgZWwgcmVzcGV0byBhIGxvcyBtaXNtb3MuIAoKTGEgcHJlc2VudGUgYXV0b3JpemFjacOzbiBzZSBoYWNlIGV4dGVuc2l2YSBubyBzw7NsbyBhIGxhcyBmYWN1bHRhZGVzIHkgZGVyZWNob3MgZGUgdXNvIHNvYnJlIGxhIG9icmEgZW4gZm9ybWF0byBvIHNvcG9ydGUgbWF0ZXJpYWwsIHNpbm8gdGFtYmnDqW4gcGFyYSBmb3JtYXRvIGVsZWN0csOzbmljbywgeSBlbiBnZW5lcmFsIHBhcmEgY3VhbHF1aWVyIGZvcm1hdG8gY29ub2NpZG8gbyBwb3IgY29ub2Nlci4gTWFuaWZpZXN0byBxdWUgbGEgb2JyYSBvYmpldG8gZGUgbGEgcHJlc2VudGUgYXV0b3JpemFjacOzbiBlcyBvcmlnaW5hbCB5IGxhIHJlYWxpY8OpIHNpbiB2aW9sYXIgbyB1c3VycGFyIGRlcmVjaG9zIGRlIGF1dG9yIGRlIHRlcmNlcm9zLCBwb3IgbG8gdGFudG8sIGxhIG9icmEgZXMgZGUgbWkgZXhjbHVzaXZhIGF1dG9yw61hIG8gdGVuZ28gbGEgdGl0dWxhcmlkYWQgc29icmUgbGEgbWlzbWEuIAoKRW4gY2FzbyBkZSBwcmVzZW50YXJzZSBjdWFscXVpZXIgcmVjbGFtYWNpw7NuIG8gcG9yIGFjY2nDs24gcG9yIHBhcnRlIGRlIHVuIHRlcmNlcm8gZW4gY3VhbnRvIGEgbG9zIGRlcmVjaG9zIGRlIGF1dG9yIHNvYnJlIGxhIG9icmEgZW4gY3Vlc3Rpw7NuIGFzdW1pcsOpIHRvZGEgbGEgcmVzcG9uc2FiaWxpZGFkLCB5IHNhbGRyw6kgZW4gZGVmZW5zYSBkZSBsb3MgZGVyZWNob3MgYXF1w60gYXV0b3JpemFkb3MgcGFyYSB0b2RvcyBsb3MgZWZlY3RvcyBsYSBVbml2ZXJzaWRhZCBhY3TDumEgY29tbyB1biB0ZXJjZXJvIGRlIGJ1ZW5hIGZlLgo=