Art and Geometry of Plants: Experience in Mathematical Modelling through Projects
ABSTARCT: This article presents some results of a qualitative-case study carried out with students in last year of secondary education (15 - 17 years) into an official educational institution. The research looked at learning outcomes through the development of mathematical modelling projects related...
- Autores:
-
Zapata Grajales, Fabio Nelson
Cano Velásquez, Natalia Andrea
Villa Ochoa, Jhony Alexander
- Tipo de recurso:
- Article of investigation
- Fecha de publicación:
- 2018
- Institución:
- Universidad de Antioquia
- Repositorio:
- Repositorio UdeA
- Idioma:
- eng
- OAI Identifier:
- oai:bibliotecadigital.udea.edu.co:10495/9535
- Acceso en línea:
- http://hdl.handle.net/10495/9535
- Palabra clave:
- Geometry
Geometría
Mathematics
Matemáticas
http://vocabularies.unesco.org/thesaurus/concept11451
http://vocabularies.unesco.org/thesaurus/concept118
- Rights
- openAccess
- License
- Atribución-NoComercial-SinDerivadas 2.5 Colombia
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Art and Geometry of Plants: Experience in Mathematical Modelling through Projects |
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Art and Geometry of Plants: Experience in Mathematical Modelling through Projects |
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Art and Geometry of Plants: Experience in Mathematical Modelling through Projects Geometry Geometría Mathematics Matemáticas http://vocabularies.unesco.org/thesaurus/concept11451 http://vocabularies.unesco.org/thesaurus/concept118 |
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Art and Geometry of Plants: Experience in Mathematical Modelling through Projects |
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Art and Geometry of Plants: Experience in Mathematical Modelling through Projects |
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Art and Geometry of Plants: Experience in Mathematical Modelling through Projects |
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Art and Geometry of Plants: Experience in Mathematical Modelling through Projects |
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Art and Geometry of Plants: Experience in Mathematical Modelling through Projects |
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Zapata Grajales, Fabio Nelson Cano Velásquez, Natalia Andrea Villa Ochoa, Jhony Alexander |
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Zapata Grajales, Fabio Nelson Cano Velásquez, Natalia Andrea Villa Ochoa, Jhony Alexander |
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Geometry Geometría Mathematics Matemáticas |
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Geometry Geometría Mathematics Matemáticas http://vocabularies.unesco.org/thesaurus/concept11451 http://vocabularies.unesco.org/thesaurus/concept118 |
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ABSTARCT: This article presents some results of a qualitative-case study carried out with students in last year of secondary education (15 - 17 years) into an official educational institution. The research looked at learning outcomes through the development of mathematical modelling projects related to studying the distribution of the leaves and the growth of some plants. According to the results, when modelling projects grounded in studying the form and geometric magnitudes are carried out, students are able to find out the meaning of certain mathematical concepts and participate in activities to reach other processes such as exploration, representation, formal construction, and validation of mathematical results. Some implications for teaching and learning in classroom derive from this study, particularly, the need for students to face the project development articulating research and mathematical modelling. |
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2018-05-29T14:20:34Z |
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2018 |
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Zapata-Grajales, F. N., Cano-Velásquez, N. A. & Villa Ochoa, J. A. (2018). Art and Geometry of Plants: Experience in Mathematical Modelling through Projects. EURASIA Journal of Mathematic., Science and Technology, 14(2), 585–603. DOI: 10.12973/ejmste/76958 |
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1305-8223 |
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http://hdl.handle.net/10495/9535 |
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Zapata-Grajales, F. N., Cano-Velásquez, N. A. & Villa Ochoa, J. A. (2018). Art and Geometry of Plants: Experience in Mathematical Modelling through Projects. EURASIA Journal of Mathematic., Science and Technology, 14(2), 585–603. DOI: 10.12973/ejmste/76958 1305-8223 10.12973/ejmste/76958 |
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eng |
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eng |
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Atribución-NoComercial-SinDerivadas 2.5 Colombia |
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Zapata Grajales, Fabio NelsonCano Velásquez, Natalia AndreaVilla Ochoa, Jhony Alexander2018-05-29T14:20:34Z2018-05-29T14:20:34Z2018Zapata-Grajales, F. N., Cano-Velásquez, N. A. & Villa Ochoa, J. A. (2018). Art and Geometry of Plants: Experience in Mathematical Modelling through Projects. EURASIA Journal of Mathematic., Science and Technology, 14(2), 585–603. DOI: 10.12973/ejmste/769581305-8223http://hdl.handle.net/10495/953510.12973/ejmste/76958ABSTARCT: This article presents some results of a qualitative-case study carried out with students in last year of secondary education (15 - 17 years) into an official educational institution. The research looked at learning outcomes through the development of mathematical modelling projects related to studying the distribution of the leaves and the growth of some plants. According to the results, when modelling projects grounded in studying the form and geometric magnitudes are carried out, students are able to find out the meaning of certain mathematical concepts and participate in activities to reach other processes such as exploration, representation, formal construction, and validation of mathematical results. Some implications for teaching and learning in classroom derive from this study, particularly, the need for students to face the project development articulating research and mathematical modelling.COL005380318application/pdfengEurasia Publishing HouseMATHEMA-Formación e Investigación en Educación Matemáticainfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_2df8fbb1https://purl.org/redcol/resource_type/ARTArtículo de investigaciónhttp://purl.org/coar/version/c_970fb48d4fbd8a85Atribución-NoComercial-SinDerivadas 2.5 Colombiainfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-nd/2.5/co/http://purl.org/coar/access_right/c_abf2https://creativecommons.org/licenses/by-nc-nd/4.0/Art and Geometry of Plants: Experience in Mathematical Modelling through ProjectsGeometryGeometríaMathematicsMatemáticashttp://vocabularies.unesco.org/thesaurus/concept11451http://vocabularies.unesco.org/thesaurus/concept118EURASIA Journal of Mathematic., Science and Technology58560314-2ORIGINALZapataFabio_2018GeometryPlantsExperience.pdfZapataFabio_2018GeometryPlantsExperience.pdfArtículo de investigaciónapplication/pdf1040175https://bibliotecadigital.udea.edu.co/bitstream/10495/9535/1/ZapataFabio_2018GeometryPlantsExperience.pdfb21be5978166d2dca331dfe8e8ca04b1MD51CC-LICENSElicense_urllicense_urltext/plain; charset=utf-849https://bibliotecadigital.udea.edu.co/bitstream/10495/9535/2/license_url4afdbb8c545fd630ea7db775da747b2fMD52license_textlicense_texttext/html; charset=utf-80https://bibliotecadigital.udea.edu.co/bitstream/10495/9535/3/license_textd41d8cd98f00b204e9800998ecf8427eMD53license_rdflicense_rdfLicenciaapplication/rdf+xml; charset=utf-80https://bibliotecadigital.udea.edu.co/bitstream/10495/9535/4/license_rdfd41d8cd98f00b204e9800998ecf8427eMD54LICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://bibliotecadigital.udea.edu.co/bitstream/10495/9535/5/license.txt8a4605be74aa9ea9d79846c1fba20a33MD5510495/9535oai:bibliotecadigital.udea.edu.co:10495/95352022-06-08 16:45:10.492Repositorio Institucional Universidad de Antioquiaandres.perez@udea.edu.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 |