Research Outputs

Now showing 1 - 4 of 4
  • Publication
    Teacher leaders' noticing of argumentative orchestration
    (SPRINGER, 2025)
    Solar, Horacio
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    Gómez Zaccarelli, Florencia
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    Martínez, María Victoria
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    Arriagada, Victoria
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    Mursell, Kurt
    Teacher leaders (TLs) play a pivotal role in monitoring and fostering teacher awareness to enhance the quality of teaching practices, particularly in domains like mathematics education. Within the mathematics curriculum across various nations, this monitoring effort has been channelled towards nurturing crucial competencies such as argumentation among students. While existing literature underscores the significance of instructional support in fostering student argumentation, it’s imperative to recognize that developing a keen sense of noticing extends beyond merely understanding students’ thinking processes. It involves a multifaceted approach encompassing elements like deciphering teacher responses. In the context of a professional development initiative aimed at supporting TLs to promote argumentation within mathematics classrooms, we delved into the participation of novice TLs in a program session. Our goal was to assess their capacity to identify critical events crucial for supporting argumentation in teaching and learning scenarios related to mathematics. During the session, TLs were presented with a video depicting a student argumentation scenario, tasked with recognizing key events and interpreting them in the context of fostering argumentation through instructional support. We employed an adapted noticing scale van Es (in: Sherin MG, Jacobs V, Philipp R (eds) Mathematics teacher noticing: seeing through teachers' eyes, Routledge, Abingdon, pp 134–151, 2011) to evaluate their responses, explicitly focusing on critical events within argumentative orchestration. Findings show that TLs demonstrated an estimable level of proficiency in recognizing essential events of argumentation. Notably, a majority showed an ability to establish meaningful connections between identified critical events and a framework for argumentative orchestration. This suggests promising potential for TLs to support and facilitate argumentation within mathematics education settings effectively.
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    Publication
    Relaciones entre la argumentación y la modelación en el aula de matemáticas
    (Bolema, 2023)
    Solar, Horacio
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    Aravena, María
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    Goizueta, Manuel
    Para desarrollar una visión competencial del aprendizaje, varias investigaciones han puesto el acento en las competencias de modelación y argumentación. Si bien existe una nutrida literatura en ambas competencias matemáticas, es muy escasa en la literatura el abordaje conjunto de la argumentación y modelación. Este estudio tiene como propósito caracterizar las relaciones entre la argumentación y la modelación en el aula de matemáticas. A partir de una experiencia de desarrollo profesional docente, se presentan el análisis de dos casos de profesoras quienes diseñaron una actividad de modelación y argumentación. Los resultados de este estudio indican que se plantean tres relaciones importantes entre la argumentación y la modelación: 1) Las tareas matemáticas diseñadas favorecieron el desarrollo de la modelación y argumentación en los estudiantes; 2) los modelos actúan de manera implícita como respaldo de las garantías y refutaciones dados por los estudiantes; 3) la argumentación en el aula favorece que los estudiantes transiten por las distintas fases del ciclo de modelación.
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    Publication
    Argumentative orchestration in the mathematical modelling cycle in the classroom
    (Eurasia Journal of Mathematics, Science and Technology Education, 2022)
    Solar, Horacio
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    Arriagada, Victoria
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    Deulofeu, Jordi
    Given the importance of modelling in mathematics classrooms, and despite the extensive body of research on teacher support for promoting the mathematical modelling cycle in the classroom, authors have overlooked how teacher support for argumentation can contribute to this cycle. This study is aimed at characterizing teacher support for argumentation in the mathematical modelling cycle in the classroom. We analyzed 10 class episodes taken from the cases of two teachers, Soledad and Ángeles. The episodes were analyzed considering teacher support for argumentative orchestration (communicative strategies and pattern recognition). In the two cases studied, we found that argumentative orchestration exhibited different types of overall presence and recurrence throughout the stages of the mathematical modelling cycle, with communicative strategies being more present across the board and more recurrent in the mathematical modelling cycle than pattern recognition strategies.
  • Publication
    Teacher support for argumentation and the incorporation of contingencies in mathematics classrooms
    (Taylor & Francis, 2021) ;
    Ulloa-Sanchez, Rodrigo
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    Solar, Horacio
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    Deulofeu, Jordi
    Mathematics classrooms in which students engage in argumentation constitute a favourable context to analyse how teachers recognize and incorporate student contingencies. Through exploratory case studies, we examined three mathematics lessons in which teachers support argumentation in contingent situations triggered by student errors. Teachers’ argumentation support was defined as comprising three elements: mathematical tasks open to discussion, communicative strategies, and strategies to recognize students’ thinking. This three-strategy set is termed argumentative orchestration in contingent situations. Results show that all three strategies encourage argumentation in the mathematics classroom during contingent situations; more specifically, taking measures to recognize students’ thinking significantly fosters the incorporation of contingent situations in the mathematics classroom.