Developmental perspectives of numerical thinking for the interpretation of physical quantities
This research reveals the perspectives in the teaching of numerical thinking through a documentary review. The representation of physical elements such as functions, vectors and operators, and their subsequent interpretation through numerical thinking gives meaning to the physical quantities that su...
- Autores:
-
Valbuena, O
Salazar-Torres, J
Díaz, J A
Rincón-Leal, O
Bravo, A
- Tipo de recurso:
- Fecha de publicación:
- 2020
- Institución:
- Universidad Simón Bolívar
- Repositorio:
- Repositorio Digital USB
- Idioma:
- eng
- OAI Identifier:
- oai:bonga.unisimon.edu.co:20.500.12442/6925
- Acceso en línea:
- https://hdl.handle.net/20.500.12442/6925
https://iopscience.iop.org/article/10.1088/1742-6596/1672/1/012014
- Palabra clave:
- Numerical Thinking
Sources
Curricular perspective
- Rights
- openAccess
- License
- Attribution-NonCommercial-NoDerivatives 4.0 Internacional
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Developmental perspectives of numerical thinking for the interpretation of physical quantities |
| title |
Developmental perspectives of numerical thinking for the interpretation of physical quantities |
| spellingShingle |
Developmental perspectives of numerical thinking for the interpretation of physical quantities Numerical Thinking Sources Curricular perspective |
| title_short |
Developmental perspectives of numerical thinking for the interpretation of physical quantities |
| title_full |
Developmental perspectives of numerical thinking for the interpretation of physical quantities |
| title_fullStr |
Developmental perspectives of numerical thinking for the interpretation of physical quantities |
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Developmental perspectives of numerical thinking for the interpretation of physical quantities |
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Developmental perspectives of numerical thinking for the interpretation of physical quantities |
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Valbuena, O Salazar-Torres, J Díaz, J A Rincón-Leal, O Bravo, A |
| dc.contributor.author.none.fl_str_mv |
Valbuena, O Salazar-Torres, J Díaz, J A Rincón-Leal, O Bravo, A |
| dc.subject.eng.fl_str_mv |
Numerical Thinking Sources Curricular perspective |
| topic |
Numerical Thinking Sources Curricular perspective |
| description |
This research reveals the perspectives in the teaching of numerical thinking through a documentary review. The representation of physical elements such as functions, vectors and operators, and their subsequent interpretation through numerical thinking gives meaning to the physical quantities that such elements represent. A documentary sample integrated for 40 sources on numerical thinking such as articles published in indexed journals, postgraduate dissertations, and books is considered. A qualitative content analysis method is used. First, an encoding procedure is applied for tagging the extracted information from the source documents. Then, a split and merge procedure is considered in order to establish from the tags the dimensions and categories that allow determining the conceptual relationships that support the developmental perspectives of numerical thinking. The method reveals that the numerical thinking can be developed in the global context from four perspectives, namely, historical, theoretical, curricular, and social perspectives. From these results, an incorporation of the such perspectives can be institutionalized for promoting curricular, didactic and evaluative new proposals for numerical thinking teaching. |
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2020 |
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2020-12-17T15:10:15Z |
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2020-12-17T15:10:15Z |
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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/20.500.12442/6925 |
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doi:10.1088/1742-6596/1672/1/012014 |
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https://iopscience.iop.org/article/10.1088/1742-6596/1672/1/012014 |
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17426596 doi:10.1088/1742-6596/1672/1/012014 |
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https://hdl.handle.net/20.500.12442/6925 https://iopscience.iop.org/article/10.1088/1742-6596/1672/1/012014 |
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eng |
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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. 1672 (2020) |
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Valbuena, O4286f2e0-ce46-49ce-a106-bd00c21a76e9Salazar-Torres, J40a2a6c9-3e39-4994-9b5a-1c6112bd8000Díaz, J Afd9c2d9c-e670-41e8-9a99-61fc642950e9Rincón-Leal, Obbaf1133-5dce-4ff4-aad0-d8d411c6a815Bravo, A3e2b5f23-22e5-41e6-a979-50e352e3d4be2020-12-17T15:10:15Z2020-12-17T15:10:15Z202017426596https://hdl.handle.net/20.500.12442/6925doi:10.1088/1742-6596/1672/1/012014https://iopscience.iop.org/article/10.1088/1742-6596/1672/1/012014This research reveals the perspectives in the teaching of numerical thinking through a documentary review. The representation of physical elements such as functions, vectors and operators, and their subsequent interpretation through numerical thinking gives meaning to the physical quantities that such elements represent. A documentary sample integrated for 40 sources on numerical thinking such as articles published in indexed journals, postgraduate dissertations, and books is considered. A qualitative content analysis method is used. First, an encoding procedure is applied for tagging the extracted information from the source documents. Then, a split and merge procedure is considered in order to establish from the tags the dimensions and categories that allow determining the conceptual relationships that support the developmental perspectives of numerical thinking. The method reveals that the numerical thinking can be developed in the global context from four perspectives, namely, historical, theoretical, curricular, and social perspectives. From these results, an incorporation of the such perspectives can be institutionalized for promoting curricular, didactic and evaluative new proposals for numerical thinking teaching.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. 1672 (2020)Numerical ThinkingSourcesCurricular perspectiveDevelopmental perspectives of numerical thinking for the interpretation of physical quantitiesinfo:eu-repo/semantics/articleArtículo científicohttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_2df8fbb1Holton D 2001 The Teaching and Learning of Mathematics at University Level (Boston: Springer)Biza I, Giraldo V, Hochmuth R, Khakbaz A and Rasmussen C 2016 Research on Teaching and Learning Mathematics at the Tertiary Level: State-of-the-art and Looking Ahead (Switzerland: Springer International Publishing)Gravemeijer K, Stephan M, Julie C, Lin F L and Ohtani M 2017 International Journal of Science and Mathematics Education volume 14 105Geary D, Berch D, Ochsendorf R and Koepke K 2017 Acquisition of Complex Arithmetic Skills and Higher-order Mathematics Concepts (San Diego: Academic Press)Ernest P 1999 Educational Studies in Mathematics 38 67Cuoco A, Paul Goldenberg E and Mark J 1996 The Journal of Mathematical BehaviorMason J, Burton L and Stacey K 2011 Thinking Mathematically (London: Addison Wesley)Johnston-Wilder S and Lee C 2008 Proceedings for the British Society for Research into Learning Mathematics 28 54Burton L 1984 Journal for Research in Mathematics Education 15 35Verschaffel L, Greer B and De Corte E 2010 International Encyclopedia of Education (Oxford: Elsevier)Wu B 2011 Consumption and Management (Oxford: Chandos Publishing)Klose O M 1966 The Number Systems and Operations of Arithmetic (Oxford: Pergamon)Patton M Q 1990 Qualitative Evaluation and Research Methods (London: SAGE Publications)Corbin J and Strauss A 2007 Basics of Qualitative Research: Techniques and Procedures for Developing Grounded Theory (Thousand Oaks: SAGE Pulications)Freudenthal H 1968 Educational Studies in Mathematics 1 3Boaler J 1993 For the Learning of Mathematics 13 12Loase J F 1987 Mathematical Modelling 8 175Buldt B, Löwe B and Müller T 2008 Erkenntnis (1975-) 68 309Robinson A 1975 Proceedings of the Logic Colloquium 80 41Segal J 1999 The Journal of Mathematical Behavior 18 191Villarroel J 2009 Electronic Journal of Research in Educational Psychology 7 555Bashirov A 2014 Mathematical Analysis Fundamentals (Boston: Elsevier)Pitta-Pantazi D 2014 Encyclopedia of Mathematics Education (Dordrecht: Springer Netherlands)Verschaffel L, Depaepe F and De Corte E 2015 International Encyclopedia of the Social & Behavioral Sciences (Oxford: Elsevier)Nowakowska M 1980 International Journal of Man-Machine Studies 13 223Leibovich T, Katzin N, Harel M and Henik A 2017 Behavioral and Brain Sciences 40 el64Micheli J and Ernst C 1997 Journal of Mathematical Psychology 41 345Malet A 2006 Historia Mathematica 33 63Sfard A 1991 Educational Studies in Mathematics 2 1Chesney M and Hazari B 1998 Journal of Mathematical Economics 29 1Cooney J B 1991 Learning and Individual Differences 3 83Cantlon J F 2015 Evolutionary Origins and Early Development of Number Processing (London: Elsevier)DeWolf M, Bassok M and Holyoak K J 2017 Acquisition of Complex Arithmetic Skills and Higher-rder Mathematics Concepts (San Diego: Academic Press)Yanuschik O V, Batbold M and Ustyuzhanina A K 2015 Procedia - Social and Behavioral Sciences 215 202Marwiang M, Junpeng P and Nakorn N N 2014 Procedia - Social and Behavioral Sciences 143 764Hadar L L 2017 Studies in Educational Evaluation 55 153de Abreu G 1998 Learning and Instruction 8 567Xolocotzin Eligio U 2017 Understanding Emotions in Mathematical Thinking and Learning (San Diego: Academic Press)Trouche L, Gitirana V, Miyakawa T, Pepin B and Wang C 2019 International Journal of Educational Research 93 53Cárdenas-Soler R, Piamonte-Contreras S and Gordillo-Catellanos P 2017 Pensamiento y Acción 23 31Nunes T 1993 Significant Influences on Children’s Learning of Mathematics (Paris: UNESCO)Cobb P 1994 Learning Mathematics. Constructivist and Interactionist Theories of Mathematical Development (Netherlands: Kluwer)2005 Estándares Básicos de Competencias Matemáticas (Colombia: Ministerio de Educación Nacional) Ministerio de Educación NacionalBaena G 1986 Manual para Elaborar Trabajos de Investigación Documental (Mexico: Editores Mexicanos Unidos)Miguélez M M 2007 Ciencia y Arte en la Metodologia Cualitativa (Mexico: Trillas)Posada M E 2005 Interpretación e Implementación de los Estándares Básicos de Matemáticas (Medellìn: Gobernación de Antioquia)Céspedes E 2018 Cinta de Moebio 63 323Rodrìguez M E 2016 Revista Eleuthera 15 34ORIGINALPDF.pdfPDF.pdfPDFapplication/pdf907146https://bonga.unisimon.edu.co/bitstreams/43a1f2b2-9b03-4c93-9b52-32fd7aa69350/download4e44ef9c88736eeb8dd5ec8ba09ad6f8MD51CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8805https://bonga.unisimon.edu.co/bitstreams/d5d0318d-e8f9-4ca4-86b2-769a326fdf1c/download4460e5956bc1d1639be9ae6146a50347MD52LICENSElicense.txtlicense.txttext/plain; charset=utf-8381https://bonga.unisimon.edu.co/bitstreams/6576aa50-ca71-42eb-96c5-c7bf43c7cd05/download733bec43a0bf5ade4d97db708e29b185MD53TEXTDevelopmental_perspective-of-numerical_thinking.pdf.txtDevelopmental_perspective-of-numerical_thinking.pdf.txtExtracted texttext/plain23185https://bonga.unisimon.edu.co/bitstreams/373380e8-53b2-49a2-9fdd-e16d690b374d/download00c7b32fafaa2d7725490b6d4cf385b1MD54PDF.pdf.txtPDF.pdf.txtExtracted texttext/plain23705https://bonga.unisimon.edu.co/bitstreams/81d49030-2e8a-4e00-8c64-b9ca456231f4/downloada85a349f8d94fa5252d17646b227d3cbMD56THUMBNAILDevelopmental_perspective-of-numerical_thinking.pdf.jpgDevelopmental_perspective-of-numerical_thinking.pdf.jpgGenerated Thumbnailimage/jpeg1396https://bonga.unisimon.edu.co/bitstreams/ad65786f-007f-44f7-9aa4-ca16ce98b584/download32ef184200511a2f97ab683cacb015eeMD55PDF.pdf.jpgPDF.pdf.jpgGenerated Thumbnailimage/jpeg3673https://bonga.unisimon.edu.co/bitstreams/d670fa64-73b8-44c2-a091-7906b1571d85/downloadf6a8840aa23c84e90970047f48d76151MD5720.500.12442/6925oai:bonga.unisimon.edu.co:20.500.12442/69252024-08-14 21:54:40.723http://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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 |