Analysis of a Mathematical Model. Opportunities for the Training of Food Engineering Students
ABSTRACT: International research has revealed different roles of mathematics in the practices of engineers and some implications of mathematics teaching for engineering students. Modeling and mathematical models have proven to be valuable tools for their professional work and for their teaching proc...
- Autores:
-
Sepúlveda, Edwin
González Gómez, Difariney
Villa Ochoa, Jhony Alexander
- Tipo de recurso:
- Article of investigation
- Fecha de publicación:
- 2020
- Institución:
- Universidad de Antioquia
- Repositorio:
- Repositorio UdeA
- Idioma:
- eng
- OAI Identifier:
- oai:bibliotecadigital.udea.edu.co:10495/29613
- Acceso en línea:
- http://hdl.handle.net/10495/29613
- Palabra clave:
- Matemáticas
Mathematics
Modelos matemáticos
Educación matemática
Matemáticas para ingenieros
http://vocabularies.unesco.org/thesaurus/concept118
- Rights
- openAccess
- License
- Atribución-NoComercial-SinDerivadas 2.5 Colombia
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Analysis of a Mathematical Model. Opportunities for the Training of Food Engineering Students |
| title |
Analysis of a Mathematical Model. Opportunities for the Training of Food Engineering Students |
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Analysis of a Mathematical Model. Opportunities for the Training of Food Engineering Students Matemáticas Mathematics Modelos matemáticos Educación matemática Matemáticas para ingenieros http://vocabularies.unesco.org/thesaurus/concept118 |
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Analysis of a Mathematical Model. Opportunities for the Training of Food Engineering Students |
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Analysis of a Mathematical Model. Opportunities for the Training of Food Engineering Students |
| title_fullStr |
Analysis of a Mathematical Model. Opportunities for the Training of Food Engineering Students |
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Analysis of a Mathematical Model. Opportunities for the Training of Food Engineering Students |
| title_sort |
Analysis of a Mathematical Model. Opportunities for the Training of Food Engineering Students |
| dc.creator.fl_str_mv |
Sepúlveda, Edwin González Gómez, Difariney Villa Ochoa, Jhony Alexander |
| dc.contributor.author.none.fl_str_mv |
Sepúlveda, Edwin González Gómez, Difariney Villa Ochoa, Jhony Alexander |
| dc.subject.unesco.none.fl_str_mv |
Matemáticas Mathematics |
| topic |
Matemáticas Mathematics Modelos matemáticos Educación matemática Matemáticas para ingenieros http://vocabularies.unesco.org/thesaurus/concept118 |
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Modelos matemáticos |
| dc.subject.proposal.spa.fl_str_mv |
Educación matemática Matemáticas para ingenieros |
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http://vocabularies.unesco.org/thesaurus/concept118 |
| description |
ABSTRACT: International research has revealed different roles of mathematics in the practices of engineers and some implications of mathematics teaching for engineering students. Modeling and mathematical models have proven to be valuable tools for their professional work and for their teaching process. This study identifies opportunities offered by a process of analysis of a mathematical model in the training of engineers. For this analysis, an interpretation of mathematical models as an object–user–representation triad was used; mathematical models were also considered a pedagogical approach to mathematics teaching. Based on this approach, a qualitative study was developed. A teaching experiment was designed, in which, through a set of tasks, the analysis of a model describing the percentage of moisture removed in a radial airflow food dryer is considered. Results show that students evidenced a comprehension of the model function as a covariation relationship and implemented strategies for understanding it through the graphs in the model. The situated character of students’ reasoning and their experience with professional practices of engineers are also highlighted. |
| publishDate |
2020 |
| dc.date.issued.none.fl_str_mv |
2020 |
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2022-07-08T14:48:25Z |
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2022-07-08T14:48:25Z |
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info:eu-repo/semantics/article |
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Artículo de investigación |
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2227-7390 |
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http://hdl.handle.net/10495/29613 |
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http://hdl.handle.net/10495/29613 |
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eng |
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eng |
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openAccess |
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MATHEMA-Formación e Investigación en Educación Matemática |
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Barcelona, España |
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Sepúlveda, EdwinGonzález Gómez, DifarineyVilla Ochoa, Jhony Alexander2022-07-08T14:48:25Z2022-07-08T14:48:25Z20202227-7390http://hdl.handle.net/10495/29613ABSTRACT: International research has revealed different roles of mathematics in the practices of engineers and some implications of mathematics teaching for engineering students. Modeling and mathematical models have proven to be valuable tools for their professional work and for their teaching process. This study identifies opportunities offered by a process of analysis of a mathematical model in the training of engineers. For this analysis, an interpretation of mathematical models as an object–user–representation triad was used; mathematical models were also considered a pedagogical approach to mathematics teaching. Based on this approach, a qualitative study was developed. A teaching experiment was designed, in which, through a set of tasks, the analysis of a model describing the percentage of moisture removed in a radial airflow food dryer is considered. Results show that students evidenced a comprehension of the model function as a covariation relationship and implemented strategies for understanding it through the graphs in the model. The situated character of students’ reasoning and their experience with professional practices of engineers are also highlighted.14Application/pdfengMDPIMATHEMA-Formación e Investigación en Educación MatemáticaBarcelona, Españainfo: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_970fb48d4fbd8a85info:eu-repo/semantics/openAccessAtribución-NoComercial-SinDerivadas 2.5 Colombiahttp://creativecommons.org/licenses/by-nc-nd/2.5/co/http://purl.org/coar/access_right/c_abf2https://creativecommons.org/licenses/by-nc-sa/4.0/Analysis of a Mathematical Model. Opportunities for the Training of Food Engineering StudentsMatemáticasMathematicsModelos matemáticosEducación matemáticaMatemáticas para ingenieroshttp://vocabularies.unesco.org/thesaurus/concept118Mathematics2168ORIGINALSepulvedaEdwin_2020_MathematiclModelEngineering.pdfSepulvedaEdwin_2020_MathematiclModelEngineering.pdfArtículo de revistaapplication/pdf1787173https://bibliotecadigital.udea.edu.co/bitstream/10495/29613/1/SepulvedaEdwin_2020_MathematiclModelEngineering.pdf69c46534e44133ad83e96a1c604b1890MD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://bibliotecadigital.udea.edu.co/bitstream/10495/29613/3/license.txt8a4605be74aa9ea9d79846c1fba20a33MD53CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8823https://bibliotecadigital.udea.edu.co/bitstream/10495/29613/2/license_rdfb88b088d9957e670ce3b3fbe2eedbc13MD5210495/29613oai:bibliotecadigital.udea.edu.co:10495/296132022-07-08 09:48:25.544Repositorio Institucional Universidad de Antioquiaandres.perez@udea.edu.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 |