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La modelización como vehículo para el desarrollo del razonamiento covariacional...

Moreno Sandoval, Selene; Alvarado-Monroy, Angelina

Este artículo describe cómo se favorece el desarrollo del razonamiento covariacional en 18 alumnos (14 años), a través de actividades de modelización, apoyadas con simulaciones participativas para abordar el problema del escaso acceso a la atención médica en los pueblos indígenas mexicanos, situando a los estudiantes de secundaria en diferentes escenarios presentes en la propagación de una enfermedad. Se sigue ...


Teaching for mathematical competence: the different foci of modelling competenc...

Højgaard, Tomas

In this article, I argue that it is opportune to work with students’ (mathematical) modelling competency and (mathematical) problem solving competency as two essentially different learning objectives. Such a distinction can be used to facilitate communication when establishing a general agenda in and around the classroom, and especially when developing and/or selecting suitable challenges for students. I begin ...


Students’ modelling processes when working with math trails

Buchholtz, Nils

On math trails, students can make direct connections between real objects and mathemat­ical ideas. In these extracurricular learning arrangements, which are in the form of a rally, students visit places and objects in the city or around the school to solve mathematical tasks. The tasks com­prise measuring or estimating relevant sizes and quantities and placing them in a respective mathematical model. One indica...


Technology and mathematical modelling: addressing challenges, opening doors

Galbraith, Peter; Fisher, Diana

In terms of achieving educational goals, technology impacts on the nature of mathematical accomplishment with respect to both scope and purpose. We review the use of technology, actual and potential, within mathematical modelling viewed as real-world problem solving. We consider its role within the total modelling process, as well as its manner of use within individual problem contexts, illustrating ways in whi...


On the influence of knowledge about the ideal-typical modelling processes on in...

Schneider, Lisa; Borromeo Ferri, Rita; Ruzika, Stefan

Working on mathematical modelling tasks is challenging for students. Several studies have shown that knowledge of mathematical modelling on a meta-level has a positive effect on the modelling process. Nevertheless, students mostly do not knowingly and consciously use solution strategies when working on modelling tasks. Within the framework of our study, we investigated whether and to what extent knowledge about...


Mathematical modelling routes supported by technology in the learning of linear...

, Guillermo Ramírez-Montes; , Susana Carreira; Henriques, Ana

Mathematical modelling is a significant and productive context for teaching linear algebra, favoring students’ learning of concepts and modelling competencies, often neglected in undergraduate mathematics. This study aims to characterize the modelling routes performed and the competencies put into practice by Costa Rican undergraduate students in a linear algebra course, when solving a mathematical modelling ta...


The nature and the aim of the examples used by a teacher in his interventions i...

Araújo, Jussara; Lima, Fernando

This article presents the results of a study whose objective is to investigate how an experienced teacher uses examples in modelling projects, by analysing the nature and the aim of this kind of teacher intervention. Based on mathematical modelling perspectives described in mathematics education literature, in the principle of exemplarity and in a qualitative research approach, we will analyse critical episodes...


Relação entre desempenho aritmético e desempenho na resolução de problemas de a...

Kniphoff Jandrey Holzmann, Kamila; Peres Nogues, Camila; Magalhães Lima, Elielson; Vargas Dorneles, Beatriz

O objetivo deste estudo é analisar e relacionar o desempenho aritmético e o desempenho na resolução de problemas de 127 alunos de 3.º e 4.º anos do Ensino Fundamental de duas escolas públicas brasileiras, com idades entre 8 e 11 anos. Os participantes foram avaliados por meio de duas tarefas: o Subteste de Aritmética do Teste de Desempenho Escolar (TDE) e uma tarefa de resolução de problemas. Foram utilizados o...


What makes a modelling problem interesting? Sources of situational interest in ...

Schulze Elfringhoff, Mareike; Schukajlow, Stanislaw

Prior studies have shown that many students have poor modelling competencies. One reason for these results could be a lack of interest in solving modelling problems. Because not much is known about the sources of interest in modelling problems, we designed a qualitative study to investigate sources of students’ situational interest in solving modelling problems. The research questions were: (1) What sources do ...


Teaching and learning combinatorics in secondary school: a modelling approach b...

Vásquez, Susana; Barquero, Berta; Bosch, Marianna

This paper focuses on the role of combinatorics as a modelling tool to inquire about different situations involving counting and simulation with real objects. Based on the Anthropological Theory of the Didactic, our research presents the design and implementation of a Study and Research Path (SRP) for compulsory secondary education in the area of combinatorics. The SRP starts from a generating question about di...


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