Mathematical modeling with digital technological tools for interpretation of contextual situations
This article has the goal of proposing physical contextual situations modeling as a way to interpret mathematical representations that are produced by digital technological tools. Thus, there is an experimental situation-problem about a physical phenomenon that is modeled through video analysis and...
- Autores:
-
Martínez, A
Villamizar, F
Cuevas, C
Espinosa-Castro, J
- Tipo de recurso:
- Fecha de publicación:
- 2020
- Institución:
- Universidad Simón Bolívar
- Repositorio:
- Repositorio Digital USB
- Idioma:
- eng
- OAI Identifier:
- oai:bonga.unisimon.edu.co:20.500.12442/6361
- Acceso en línea:
- https://hdl.handle.net/20.500.12442/6361
https://iopscience.iop.org/article/10.1088/1742-6596/1514/1/012003/pdf
- Palabra clave:
- Mathematical representations
Digital technological tools
Dynamic geometry software
- Rights
- openAccess
- License
- Attribution-NonCommercial-NoDerivatives 4.0 Internacional
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Mathematical modeling with digital technological tools for interpretation of contextual situations |
| title |
Mathematical modeling with digital technological tools for interpretation of contextual situations |
| spellingShingle |
Mathematical modeling with digital technological tools for interpretation of contextual situations Mathematical representations Digital technological tools Dynamic geometry software |
| title_short |
Mathematical modeling with digital technological tools for interpretation of contextual situations |
| title_full |
Mathematical modeling with digital technological tools for interpretation of contextual situations |
| title_fullStr |
Mathematical modeling with digital technological tools for interpretation of contextual situations |
| title_full_unstemmed |
Mathematical modeling with digital technological tools for interpretation of contextual situations |
| title_sort |
Mathematical modeling with digital technological tools for interpretation of contextual situations |
| dc.creator.fl_str_mv |
Martínez, A Villamizar, F Cuevas, C Espinosa-Castro, J |
| dc.contributor.author.none.fl_str_mv |
Martínez, A Villamizar, F Cuevas, C Espinosa-Castro, J |
| dc.subject.eng.fl_str_mv |
Mathematical representations Digital technological tools Dynamic geometry software |
| topic |
Mathematical representations Digital technological tools Dynamic geometry software |
| description |
This article has the goal of proposing physical contextual situations modeling as a way to interpret mathematical representations that are produced by digital technological tools. Thus, there is an experimental situation-problem about a physical phenomenon that is modeled through video analysis and dynamic geometry software; the methodological model Cuvima conducts the experimental activity. Pre-testing and post-testing measuring instruments were designed to obtain the information and previous conceptions of ten graduate students in Mathematical Education, which showed a conceptual change. Similarly, results prove that digital technology, from a didactical sequence, supports and strengthens experimental work simplifying modeling processes of a physical phenomenon, promoting the use of mathematical representations to solve a situation-problem. |
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2020 |
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2020-08-26T23:01:55Z |
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2020-08-26T23:01:55Z |
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2020 |
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http://purl.org/coar/version/c_970fb48d4fbd8a85 |
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Artículo científico |
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17426596 |
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https://hdl.handle.net/20.500.12442/6361 |
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https://iopscience.iop.org/article/10.1088/1742-6596/1514/1/012003/pdf |
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17426596 |
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https://hdl.handle.net/20.500.12442/6361 https://iopscience.iop.org/article/10.1088/1742-6596/1514/1/012003/pdf |
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eng |
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eng |
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Attribution-NonCommercial-NoDerivatives 4.0 Internacional |
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openAccess |
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pdf |
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IOP Publishing |
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Journal of Physics: Conference Series |
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Vol. 1514 No. 1 (2020) |
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Universidad Simón Bolívar |
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Martínez, A00b3b129-3d1f-413f-8c2a-7fd002230697Villamizar, F58039ba4-4412-4405-bf51-436306256c95Cuevas, C703ddd01-af2c-48f8-a4af-42a2f3aa577aEspinosa-Castro, J1d51d75f-7cda-493c-b295-bc6ec3448f962020-08-26T23:01:55Z2020-08-26T23:01:55Z202017426596https://hdl.handle.net/20.500.12442/6361https://iopscience.iop.org/article/10.1088/1742-6596/1514/1/012003/pdfThis article has the goal of proposing physical contextual situations modeling as a way to interpret mathematical representations that are produced by digital technological tools. Thus, there is an experimental situation-problem about a physical phenomenon that is modeled through video analysis and dynamic geometry software; the methodological model Cuvima conducts the experimental activity. Pre-testing and post-testing measuring instruments were designed to obtain the information and previous conceptions of ten graduate students in Mathematical Education, which showed a conceptual change. Similarly, results prove that digital technology, from a didactical sequence, supports and strengthens experimental work simplifying modeling processes of a physical phenomenon, promoting the use of mathematical representations to solve a situation-problem.pdfengIOP PublishingAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Journal of Physics: Conference SeriesVol. 1514 No. 1 (2020)Mathematical representationsDigital technological toolsDynamic geometry softwareMathematical modeling with digital technological tools for interpretation of contextual situationsinfo:eu-repo/semantics/articleArtículo científicohttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_2df8fbb1Gingras Y 2001 What did mathematics do to physics? History of Science 39(4) 383Karam R 2015 Introduction of the Thematic issue on the interplay of physics and mathematics Science & Education 24(5) 487Kjeldsen T H, Lützen J 2015 Interactions between mathematics and physics: The History of the concept of function teaching with and about nature of mathematics Science & Education 24(5) 543Kline M 1981 Mathematics and the Physical World (New York: Dover)Poincaré H 1907 The Value of Science (New York: The Science Press)Tuminaro J, Redish EF 2007 Elements of a cognitive model of physics problem solving: Epistemic games Physical Review Special Topics-Physics Education Research 3(2) 020101-1Uhden O Karam R, Pietrocola M and Pospiech G 2012 Modelling mathematical reasoning in physics education Science & Education 20(4) 485Hierrezuelo J, Montero A 2006 La Ciencia de los Alumnos. Su Utilización en la Didáctica de la Física y la Química (México: Fontamara)Viennot L 1979 Le Raisonnement Spontané en Dynamique Élemetaire (París: Hermann)Cirillo M, Pelesko J A, Felton-Koestler M D, Rubel L 2016 Perspectives on modeling in school mathematics Annual Perspectives in Mathematics Education 2016: Mathematical Modeling and Modeling Mathematics (Electronic materials vol 1) ed Hirsch C and McDuffie A (Sweden: National Council of Teachers of Mathematics) chapter 1 p 3Drake S 1975 The role of music in Galileo´s experiments Scientific American 232(6) 98Cuevas C A Villamizar F Y, Martínez A 2017 Aplicaciones de la tecnología digital para actividades didácticas que promuevan una mejor comprensión del tono como cualidad del sonido para cursos tradicionales de física en el nivel básico Enseñanza de las Ciencias 35(3) 129Ausubel D, Novak J, Hanesian H 2012 Psicología educativa: Un punto de vista cognoscitivo (México: Trillas)Espinosa-Castro J F 2018 Software: Aplicaciones de ecuaciones diferenciales de primer orden Investigación y Praxis en la Enseñanza de las Matemáticas ed Salazar Torres J P, Contreras Santander Y L, Espinosa-Castro J F (Barranquilla: Ediciones Universidad Simón Bolívar)Villamizar F Y 2018 Modelo metodológico para promover conceptos físicos y matemáticos: hacia la orquestación de actividades didácticas con tecnologías digitales (México: Centro de Investigación y de Estudios Avanzados del Instituo Politécnico Nacional)Kaiser G, Sriraman B 2006 A Global Survey of international perspectives on modeling in mathematics education ZDM Mathematics Education 38(3) 302Rodríguez R, Quiroz S 2016 El papel de la tecnología en el proceso de modelación matemática para la enseñanza de las ecuaciones diferenciales Revista Latinoamericana de Investigación en Matemática Educativa 19(1) 99Boyer C 1986 Historia de la Matemática (Madrid: Alianza Universidad Textos)Goldstein H 1986 Mecánica Clásica (Barcelona: Reverté)Cuevas Vallejo C A, Pluvinage F, Dorier J-L, Hitt F, Tall D, Madrid H, Dufour S, Flores A, Moreno L, Martinez M, Cantoral R, Soto J, Parraguez M 2013 Una Aproximación Sensible al Cálculo La Enseñanza del Calculo Diferencial e Integral: Compendio de Investigaciones y Reflexiones para Profesores, Formadores e Investigadores en Matemética Educativa (Ciudad de México: Pearson) capitulo 6 p 127ORIGINALPDF.pdfPDF.pdfPDFapplication/pdf1927625https://bonga.unisimon.edu.co/bitstreams/d2b65004-4806-4fd9-9ba7-5c2a0825e4c0/download32e5a18d137e00c5dd7b264808128973MD51CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8805https://bonga.unisimon.edu.co/bitstreams/e700c623-ddb6-46d1-8a16-48d879ce235e/download4460e5956bc1d1639be9ae6146a50347MD52LICENSElicense.txtlicense.txttext/plain; charset=utf-8381https://bonga.unisimon.edu.co/bitstreams/800b266f-b29e-4d40-9a3a-7a2963dd45d8/download733bec43a0bf5ade4d97db708e29b185MD53TEXTPDF.pdf.txtPDF.pdf.txtExtracted texttext/plain17993https://bonga.unisimon.edu.co/bitstreams/a1634b81-120e-4296-8cf5-ceb51f378ffa/download279dcf43539db641928fc31feec017e6MD54THUMBNAILPDF.pdf.jpgPDF.pdf.jpgGenerated Thumbnailimage/jpeg1404https://bonga.unisimon.edu.co/bitstreams/42e2a4e1-261d-4bef-bd27-5ceb6969e1fb/download6b4dbd365452bf61e768118e2a454ef1MD5520.500.12442/6361oai:bonga.unisimon.edu.co:20.500.12442/63612024-08-14 21:53:12.734http://creativecommons.org/licenses/by-nc-nd/4.0/Attribution-NonCommercial-NoDerivatives 4.0 Internacionalopen.accesshttps://bonga.unisimon.edu.coRepositorio Digital Universidad Simón Bolívarrepositorio.digital@unisimon.edu.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 |