Knowledge and Beliefs on Mathematical Modelling Inferred in the Argumentation of a Prospective Teacher When Reflecting on the Incorporation of This Process in His Lessons

Mathematical modelling enjoys affirmed relevance in educational curricula worldwide, and teacher education programs consider that this process should also be experienced during educational internships. The interest of this study focuses on the argumentation of a prospective teacher to justify the in...

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Main Authors: Carlos Ledezma, Telesforo Sol, Gemma Sala-Sebastià, Vicenç Font
Format: Article
Language:English
Published: MDPI AG 2022-09-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/10/18/3339
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author Carlos Ledezma
Telesforo Sol
Gemma Sala-Sebastià
Vicenç Font
author_facet Carlos Ledezma
Telesforo Sol
Gemma Sala-Sebastià
Vicenç Font
author_sort Carlos Ledezma
collection DOAJ
description Mathematical modelling enjoys affirmed relevance in educational curricula worldwide, and teacher education programs consider that this process should also be experienced during educational internships. The interest of this study focuses on the argumentation of a prospective teacher to justify the incorporation (or not) of mathematical modelling in his lessons. To do this, we analyzed the reflection of a prospective mathematics teacher on the design of a modelling task during his educational internship. Methodologically, it is a case study in which, based on the didactic suitability criteria tool, the study subject structured the reflection on his educational internship in his master’s degree final project (MFP), whose central axis was modelling. We collected data from video recordings of group reflection sessions with the study subject and other prospective teachers of a professionalizing master’s program, and from the analysis of his MFP. The results evidenced the prospective teacher’s arguments to justify the design of a modelling task, his knowledge, and his beliefs about this process, among other aspects. We conclude that the specialized knowledge that is inferred from this argumentation is of different types and is part of a conglomerate formed, in addition, by values, beliefs, and guidelines for action.
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spelling doaj.art-fe881172c3a047e682ac732a80c979942023-11-23T17:37:00ZengMDPI AGMathematics2227-73902022-09-011018333910.3390/math10183339Knowledge and Beliefs on Mathematical Modelling Inferred in the Argumentation of a Prospective Teacher When Reflecting on the Incorporation of This Process in His LessonsCarlos Ledezma0Telesforo Sol1Gemma Sala-Sebastià2Vicenç Font3Departament d’Educació Lingüística i Literària i de Didàctica de les Ciències Experimentals i de la Matemàtica, Facultat d’Educació, Campus Mundet, Universitat de Barcelona, Passeig de la Vall d’Hebron, 171, 08035 Barcelona, SpainDepartament d’Educació Lingüística i Literària i de Didàctica de les Ciències Experimentals i de la Matemàtica, Facultat d’Educació, Campus Mundet, Universitat de Barcelona, Passeig de la Vall d’Hebron, 171, 08035 Barcelona, SpainDepartament d’Educació Lingüística i Literària i de Didàctica de les Ciències Experimentals i de la Matemàtica, Facultat d’Educació, Campus Mundet, Universitat de Barcelona, Passeig de la Vall d’Hebron, 171, 08035 Barcelona, SpainDepartament d’Educació Lingüística i Literària i de Didàctica de les Ciències Experimentals i de la Matemàtica, Facultat d’Educació, Campus Mundet, Universitat de Barcelona, Passeig de la Vall d’Hebron, 171, 08035 Barcelona, SpainMathematical modelling enjoys affirmed relevance in educational curricula worldwide, and teacher education programs consider that this process should also be experienced during educational internships. The interest of this study focuses on the argumentation of a prospective teacher to justify the incorporation (or not) of mathematical modelling in his lessons. To do this, we analyzed the reflection of a prospective mathematics teacher on the design of a modelling task during his educational internship. Methodologically, it is a case study in which, based on the didactic suitability criteria tool, the study subject structured the reflection on his educational internship in his master’s degree final project (MFP), whose central axis was modelling. We collected data from video recordings of group reflection sessions with the study subject and other prospective teachers of a professionalizing master’s program, and from the analysis of his MFP. The results evidenced the prospective teacher’s arguments to justify the design of a modelling task, his knowledge, and his beliefs about this process, among other aspects. We conclude that the specialized knowledge that is inferred from this argumentation is of different types and is part of a conglomerate formed, in addition, by values, beliefs, and guidelines for action.https://www.mdpi.com/2227-7390/10/18/3339argumentationdidactic suitability criteriamaster’s degree final projectmathematical modelling
spellingShingle Carlos Ledezma
Telesforo Sol
Gemma Sala-Sebastià
Vicenç Font
Knowledge and Beliefs on Mathematical Modelling Inferred in the Argumentation of a Prospective Teacher When Reflecting on the Incorporation of This Process in His Lessons
Mathematics
argumentation
didactic suitability criteria
master’s degree final project
mathematical modelling
title Knowledge and Beliefs on Mathematical Modelling Inferred in the Argumentation of a Prospective Teacher When Reflecting on the Incorporation of This Process in His Lessons
title_full Knowledge and Beliefs on Mathematical Modelling Inferred in the Argumentation of a Prospective Teacher When Reflecting on the Incorporation of This Process in His Lessons
title_fullStr Knowledge and Beliefs on Mathematical Modelling Inferred in the Argumentation of a Prospective Teacher When Reflecting on the Incorporation of This Process in His Lessons
title_full_unstemmed Knowledge and Beliefs on Mathematical Modelling Inferred in the Argumentation of a Prospective Teacher When Reflecting on the Incorporation of This Process in His Lessons
title_short Knowledge and Beliefs on Mathematical Modelling Inferred in the Argumentation of a Prospective Teacher When Reflecting on the Incorporation of This Process in His Lessons
title_sort knowledge and beliefs on mathematical modelling inferred in the argumentation of a prospective teacher when reflecting on the incorporation of this process in his lessons
topic argumentation
didactic suitability criteria
master’s degree final project
mathematical modelling
url https://www.mdpi.com/2227-7390/10/18/3339
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