Cabri's role in the task of proving within the activity of building part of an axiomatic system
We want to show how we use the software Cabri, in a Geometry class for preservice mathematics teachers, in the process of building part of an axiomatic system of Euclidean Geometry. We will illustrate the type of tasks that engage students to discover the relationship between the steps of a geometri...
- Autores:
-
Camargo, Leonor
Samper, Carmen
Perry, Patricia
- Tipo de recurso:
- Fecha de publicación:
- 2007
- Institución:
- Universidad de los Andes
- Repositorio:
- Séneca: repositorio Uniandes
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.uniandes.edu.co:1992/32032
- Acceso en línea:
- http://hdl.handle.net/1992/32032
http://funes.uniandes.edu.co/927/
- Palabra clave:
- Geometría (matemáticas superiores)
Software
Educación / Licenciaturas
- Rights
- openAccess
- License
- Attribution-NonCommercial-NoDerivatives 4.0 Internacional
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Cabri's role in the task of proving within the activity of building part of an axiomatic system |
| title |
Cabri's role in the task of proving within the activity of building part of an axiomatic system |
| spellingShingle |
Cabri's role in the task of proving within the activity of building part of an axiomatic system Geometría (matemáticas superiores) Software Educación / Licenciaturas |
| title_short |
Cabri's role in the task of proving within the activity of building part of an axiomatic system |
| title_full |
Cabri's role in the task of proving within the activity of building part of an axiomatic system |
| title_fullStr |
Cabri's role in the task of proving within the activity of building part of an axiomatic system |
| title_full_unstemmed |
Cabri's role in the task of proving within the activity of building part of an axiomatic system |
| title_sort |
Cabri's role in the task of proving within the activity of building part of an axiomatic system |
| dc.creator.fl_str_mv |
Camargo, Leonor Samper, Carmen Perry, Patricia |
| dc.contributor.author.none.fl_str_mv |
Camargo, Leonor Samper, Carmen Perry, Patricia |
| dc.contributor.other.none.fl_str_mv |
Pitta-Pantazi, Demetra Philippou, George |
| dc.subject.keyword.es_CO.fl_str_mv |
Geometría (matemáticas superiores) Software |
| topic |
Geometría (matemáticas superiores) Software Educación / Licenciaturas |
| dc.subject.themes.none.fl_str_mv |
Educación / Licenciaturas |
| description |
We want to show how we use the software Cabri, in a Geometry class for preservice mathematics teachers, in the process of building part of an axiomatic system of Euclidean Geometry. We will illustrate the type of tasks that engage students to discover the relationship between the steps of a geometric construction and the steps of a formal justification of the related geometric fact to understand the logical development of a proof; understand dependency relationships between properties; generate ideas that can be useful for a proof; produce conjectures that correspond to theorems of the system; and participate in the deductive organization of a set of statements obtained as solution to open-ended problems. |
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2007 |
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2007 |
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2020-06-01T20:37:02Z |
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2020-06-01T20:37:02Z |
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Documento de Conferencia |
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http://purl.org/coar/resource_type/c_c94f |
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Camargo, Leonor; Samper, Carmen; Perry, Patricia (2007). Cabri's role in the task of proving within the activity of building part of an axiomatic system. En Pitta-Pantazi, Demetra; Philippou, George (Eds.), Proceedings of the Fifth Congress of the Europea |
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http://hdl.handle.net/1992/32032 |
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10.57784/1992/32032 |
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http://funes.uniandes.edu.co/927/ |
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Camargo, Leonor; Samper, Carmen; Perry, Patricia (2007). Cabri's role in the task of proving within the activity of building part of an axiomatic system. En Pitta-Pantazi, Demetra; Philippou, George (Eds.), Proceedings of the Fifth Congress of the Europea 10.57784/1992/32032 instname:Universidad de los Andes reponame:Repositorio Institucional Séneca repourl:https://repositorio.uniandes.edu.co/ |
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http://hdl.handle.net/1992/32032 http://funes.uniandes.edu.co/927/ |
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eng |
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eng |
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Attribution-NonCommercial-NoDerivatives 4.0 Internacional |
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http://creativecommons.org/licenses/by-nc-sa/4.0/ |
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openAccess |
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Larnaca, Chipre |
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Facultad de Educación |
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En Pitta-Pantazi, Demetra; Philippou, George (Eds.), Proceedings of the Fifth Congress of the Europeahttp://hdl.handle.net/1992/3203210.57784/1992/32032http://funes.uniandes.edu.co/927/instname:Universidad de los Andesreponame:Repositorio Institucional Sénecarepourl:https://repositorio.uniandes.edu.co/We want to show how we use the software Cabri, in a Geometry class for preservice mathematics teachers, in the process of building part of an axiomatic system of Euclidean Geometry. We will illustrate the type of tasks that engage students to discover the relationship between the steps of a geometric construction and the steps of a formal justification of the related geometric fact to understand the logical development of a proof; understand dependency relationships between properties; generate ideas that can be useful for a proof; produce conjectures that correspond to theorems of the system; and participate in the deductive organization of a set of statements obtained as solution to open-ended problems.application/pdfenginstname:Universidad de los Andesreponame:Repositorio Institucional SénecaCabri's role in the task of proving within the activity of building part of an axiomatic systemDocumento de Conferenciainfo:eu-repo/semantics/conferenceObjecthttp://purl.org/coar/resource_type/c_c94fhttp://purl.org/coar/version/c_970fb48d4fbd8a85TextGeometría (matemáticas superiores)SoftwareEducación / LicenciaturasFacultad de EducaciónPublicationTHUMBNAILCabris-role.pdf.jpgCabris-role.pdf.jpgIM Thumbnailimage/jpeg26422https://repositorio.uniandes.edu.co/bitstreams/c5d1d6a8-094c-4c38-9c76-5826ebb8e5eb/download2c70430dcdf6b7b1340f3e2bc186db39MD54TEXTCabris-role.pdf.txtCabris-role.pdf.txtExtracted texttext/plain27174https://repositorio.uniandes.edu.co/bitstreams/f116658b-2dae-436b-b0e4-3db0c35f9664/downloadd1cc6b67c57f13ae6467d7ee2006cb93MD53ORIGINALCabris-role.pdfCabris-role.pdfapplication/pdf334183https://repositorio.uniandes.edu.co/bitstreams/2ae8c3c3-6257-4c62-b124-afe7b7cdf00e/download12dd731e3a453a27e19cc6d10ce465d8MD52LICENSElicense.txtlicense.txttext/plain; charset=utf-81865https://repositorio.uniandes.edu.co/bitstreams/41e5c485-2ecc-421a-9066-09a6800c8995/download3712501b71477eef138f931c5a7aac67MD511992/32032oai:repositorio.uniandes.edu.co:1992/320322024-09-10 11:43:51.381http://creativecommons.org/licenses/by-nc-sa/4.0/open.accesshttps://repositorio.uniandes.edu.coRepositorio institucional Sénecaadminrepositorio@uniandes.edu.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 |