The role of problem context familiarity in modelling first-order ordinary differential equations
Based on the unpredictable effect of context familiarity when students solve real-world problems, this work aims to analyse how certain contexts can be used by pre-service mathematics teachers in the representation and real-world verification of a first-order mathematical model in the classroom in t...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Sriwijaya University
2022-08-01
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| Series: | Journal on Mathematics Education |
| Subjects: | |
| Online Access: | http://jme.ejournal.unsri.ac.id/index.php/jme/article/view/32 |
| _version_ | 1828044982998532096 |
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| author | Pilar Johnson Felipe Almuna Marta Silva |
| author_facet | Pilar Johnson Felipe Almuna Marta Silva |
| author_sort | Pilar Johnson |
| collection | DOAJ |
| description | Based on the unpredictable effect of context familiarity when students solve real-world problems, this work aims to analyse how certain contexts can be used by pre-service mathematics teachers in the representation and real-world verification of a first-order mathematical model in the classroom in the subject of Ordinary Differential Equations. Specifically, this paper reports a classroom experience in which pre-service mathematics teachers compared the solution of a first-order ordinary differential equations (ODE) with a real-world experimental model. Using documentary records (i.e., students´ hand-written solutions and field notes) and a questionnaire on students´ perceptions on this classroom experience, qualitative results indicated that the pre-service mathematics teachers’ familiarity with an authentic context was a fundamental factor they chose a real-world model to represent the solution of a first-order ODE. Our analysis of the results highlights the importance of integrating familiar real-world contexts for pre-service mathematics teachers to model a first-order ODE, which is one of the fundamental principles of STEM disciplines. |
| first_indexed | 2024-04-10T18:04:19Z |
| format | Article |
| id | doaj.art-e0d1511b877846448d05efd8592f72bd |
| institution | Directory Open Access Journal |
| issn | 2087-8885 |
| language | English |
| last_indexed | 2024-04-10T18:04:19Z |
| publishDate | 2022-08-01 |
| publisher | Sriwijaya University |
| record_format | Article |
| series | Journal on Mathematics Education |
| spelling | doaj.art-e0d1511b877846448d05efd8592f72bd2023-02-02T14:21:55ZengSriwijaya UniversityJournal on Mathematics Education2087-88852022-08-0113232333610.22342/jme.v13i2.pp323-33632The role of problem context familiarity in modelling first-order ordinary differential equationsPilar Johnson0https://orcid.org/0000-0002-8624-9354Felipe Almuna1https://orcid.org/0000-0002-2003-8466Marta Silva2https://orcid.org/0000-0002-8323-3314Centro de Docencia Superior en Ciencias Básicas Universidad Austral de Chile, Puerto Montt, ChileInstituto de Especialidades Pedagógicas, Universidad Austral de Chile, Puerto Montt, ChileInstituto de Ciencias de la Educación, Universidad Austral de Chile, Valdivia, ChileBased on the unpredictable effect of context familiarity when students solve real-world problems, this work aims to analyse how certain contexts can be used by pre-service mathematics teachers in the representation and real-world verification of a first-order mathematical model in the classroom in the subject of Ordinary Differential Equations. Specifically, this paper reports a classroom experience in which pre-service mathematics teachers compared the solution of a first-order ordinary differential equations (ODE) with a real-world experimental model. Using documentary records (i.e., students´ hand-written solutions and field notes) and a questionnaire on students´ perceptions on this classroom experience, qualitative results indicated that the pre-service mathematics teachers’ familiarity with an authentic context was a fundamental factor they chose a real-world model to represent the solution of a first-order ODE. Our analysis of the results highlights the importance of integrating familiar real-world contexts for pre-service mathematics teachers to model a first-order ODE, which is one of the fundamental principles of STEM disciplines.http://jme.ejournal.unsri.ac.id/index.php/jme/article/view/32first-order ordinary differential equationspre-service teachers’ problem context familiarityreal-world context |
| spellingShingle | Pilar Johnson Felipe Almuna Marta Silva The role of problem context familiarity in modelling first-order ordinary differential equations Journal on Mathematics Education first-order ordinary differential equations pre-service teachers’ problem context familiarity real-world context |
| title | The role of problem context familiarity in modelling first-order ordinary differential equations |
| title_full | The role of problem context familiarity in modelling first-order ordinary differential equations |
| title_fullStr | The role of problem context familiarity in modelling first-order ordinary differential equations |
| title_full_unstemmed | The role of problem context familiarity in modelling first-order ordinary differential equations |
| title_short | The role of problem context familiarity in modelling first-order ordinary differential equations |
| title_sort | role of problem context familiarity in modelling first order ordinary differential equations |
| topic | first-order ordinary differential equations pre-service teachers’ problem context familiarity real-world context |
| url | http://jme.ejournal.unsri.ac.id/index.php/jme/article/view/32 |
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