Including the Brügner Tangram in an Undergraduate Mathematics education course: Systematic search for solutions and graphs
Arnal-Bailera, Alberto (Universidad de Zaragoza)
Resumen: This article presents a reflection on a teaching experience involving the use of the Brügner tangram, an interesting but little-known manipulative material. It details an activity conducted as part of an undergraduate mathematics education course for prospective primary school teachers. The main objective of this paper is to present the implementation of a sequence of activities designed to convey to future teachers the importance of systematically solving problems that involve searching for or constructing different cases. Specifically, participants are provided with the three pieces of the Brügner’s tangram and assigned the task of identifying all possible convex polygons that can be constructed. Moreover, they are required to elucidate the methodological approach underpinning their exploratory process, with an emphasis on establishing relationships between the polygons. Graphs are introduced as one of the possible approaches for modelling the problem, offering a graphical representation that aids in the systematic search for solutions. This paper describes different activities involving the Brügner’s tangram which has demonstrated its adaptability as an instructional resource. The teaching sequence adheres to the five-phase structure proposed within the framework of the van Hiele model, which is also part of the course.
Idioma: Inglés
DOI: 10.1080/10511970.2024.2379383
Año: 2024
Publicado en: PRIMUS 34, 8 (2024), 855-872
ISSN: 1051-1970
Financiación: info:eu-repo/grantAgreement/ES/DGA/S60-23R
Financiación: info:eu-repo/grantAgreement/ES/MICINN/PID2019-104964GB-I00
Tipo y forma: Article (PostPrint)
Área (Departamento): Área Didáctica Matemática (Dpto. Matemáticas)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not use the material for commercial purposes.
Fecha de embargo : 2025-07-31
Exportado de SIDERAL (2024-10-03-08:56:03)
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Idioma: Inglés
DOI: 10.1080/10511970.2024.2379383
Año: 2024
Publicado en: PRIMUS 34, 8 (2024), 855-872
ISSN: 1051-1970
Financiación: info:eu-repo/grantAgreement/ES/DGA/S60-23R
Financiación: info:eu-repo/grantAgreement/ES/MICINN/PID2019-104964GB-I00
Tipo y forma: Article (PostPrint)
Área (Departamento): Área Didáctica Matemática (Dpto. Matemáticas)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not use the material for commercial purposes. Fecha de embargo : 2025-07-31
Exportado de SIDERAL (2024-10-03-08:56:03)
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Articles > Artículos por área > Didáctica de la Matemática
Record created 2024-10-03, last modified 2024-10-03