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Collage de problemas matemáticos ilustrados: Cortes agenciales enredados en la producción de conocimiento matemático [Collaging illustrated mathematical word problems: Agential cuts in entangled mathematical knowledge production] [Colagem de problemas matemáticos ilustrados: Cortes agenciais emaranhado na produção de conhecimento matemático]
Stockholm University, Faculty of Humanities, Department of Teaching and Learning.ORCID iD: 0000-0003-0112-5465
Stockholm University, Faculty of Humanities, Department of Teaching and Learning.ORCID iD: 0000-0002-6099-7426
Stockholm University, Faculty of Humanities, Department of Teaching and Learning.ORCID iD: 0000-0002-5736-7562
2024 (Spanish)In: Prometeica, E-ISSN 1852-9488, Vol. 31, p. 336-346Article in journal (Refereed) Published
Abstract [en]

In a mathematical educational context, mathematical word problems are an established practice with the aim to connect to students’ everyday life. Drawing on Neo-material perspectives and art-based research methods we explore collage as a way to critically engage with illustrated mathematical word problems. We challenge the view of mathematical knowledge production as an objective, value-neutral and disembodied process by performing agential cuts with(in) illustrated mathematical word problems from two Swedish mathematical textbooks. The perspectives and methods mobilize sensibilities that advance new points of views. Hence, contributing to broaden the range of qualitative research methods and paradigms studying mathematical word problems. 

Abstract [pt]

Em um contexto educacional matemático, os problemas matemáticos com palavras são uma prática estabelecida com o objetivo de se conectar à vida cotidiana dos alunos. Com base nas perspectivas neomateriais e nos métodos de pesquisa baseados em arte, exploramos a colagem como uma forma de nos envolvermos criticamente com problemas matemáticos ilustrados. Desafiamos a visão da produção de conhecimento matemático como um processo objetivo, neutro em termos de valor e sem corpo, realizando cortes agenciais com problemas matemáticos ilustrados de dois livros didáticos de matemática suecos. As perspectivas e os métodos mobilizam sensibilidades que promovem novos pontos de vista. Assim, contribuindo para ampliar a gama de métodos e paradigmas de pesquisa qualitativa que estudam problemas matemáticos com palavras. 

Abstract [es]

En un contexto educativo matemático, los problemas de palabra son una práctica establecida y con el objetivo de conectar con la vida cotidiana de los estudiantes. Basándonos en perspectivas de nuevos materialismos y métodos de investigación basados en el arte, exploramos el collage como una forma de participar críticamente con problemas de palabras matemáticos ilustrados. Cuestionamos la visión de la producción de conocimiento matemático como un proceso objetivo, de valor neutral e incorpóreo, mediante el uso de cortes agenciales con(en) problemas de palabras matemáticos ilustrados de dos libros matemáticos de Suecia. Las perspectivas y métodos movilizan sensibilidades para ver nuevos puntos de vista. Por lo tanto, contribuye a ampliar la gama de métodos y paradigmas de investigación cualitativa que estudian los problemas de palabras matemáticos. 

Place, publisher, year, edition, pages
2024. Vol. 31, p. 336-346
Keywords [en]
mathematical education, illustrated mathematical word problems, neo-material perspectives, collage as critical engagement
Keywords [pt]
educação matemática, problemas matemáticos ilustrados, perspectivas neomateriais, colagem como engajamento crítico
Keywords [es]
educación matemática, problemas matemáticos ilustrados, perspectivas neomateriales, el collage como compromiso crítico
National Category
Didactics
Research subject
Mathematics Education
Identifiers
URN: urn:nbn:se:su:diva-236653DOI: 10.34024/prometeica.2024.31.16413ISI: 001378218600028Scopus ID: 2-s2.0-85215256159OAI: oai:DiVA.org:su-236653DiVA, id: diva2:1917903
Available from: 2024-12-03 Created: 2024-12-03 Last updated: 2025-10-26Bibliographically approved
In thesis
1. What’s the Problem with Illustrated Mathematical Word Problems?: Exploring Their Complexity Through Sociocultural and New Materialist Paradigms
Open this publication in new window or tab >>What’s the Problem with Illustrated Mathematical Word Problems?: Exploring Their Complexity Through Sociocultural and New Materialist Paradigms
2025 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

Illustrated mathematical word problems (IMWPs) have long been a central element in mathematics education. Multiple research traditions have examined their constitution and functioning, and their effects on teaching and learning, revealing many of the challenges they pose in practice. Yet, IMWPs continue to cause difficulties—particularly for multilingual students. To engage with these recurring issues, without reducing them to a single explanation, I define a research problematique that attends to the multiple ways in which IMWPs have been studied and understood. Theory, method, and ethics are kept in continuous conversation rather than in fixed alignment. IMWPs are approached as complex and dynamic entities within mathematics education, tracing how they emerge across historical, educational, and research contexts. IMWPs are treated not as static tasks but as relational and agential participants in teaching, learning, and research—shaping how representations through text and image act  within classroom practice.

The thesis has two parts, each with distinct theoretical and methodological approaches. The first examines the difficulties multilingual students encounter when reading and solving IMWPs and the strategies teachers use to scaffold their proficiency. Drawing on sociocultural theories of learning and a four-fold framework of social praxis, and deploying qualitative methods—including think-aloud interviews and classroom observations in multilingual classrooms—two empirical studies explore the social, cultural, and linguistic experiences that multilingual students mobilize and create when working with IMWPs. The studies reveal how IMWPs continuously mobilize forms of exclusion.

The second part shifts toward new materialist and post qualitative approaches, attending to the agency of IMWPs themselves as well as human interaction. IMWPs are treated as active participants in classrooms, shaping what can occur, what can be said and imagined. Three investigations are conducted: a literature intra-view that traces how IMWPs act, with whom they engage, and how they move across past, present, and possible futures; a speculative fabulation that reimagines IMWPs otherwise, exploring both the promises and limits of imagining and performing them differently; and a collage that follows small visual and linguistic changes to see how they reconfigure what counts as mathematical, cultural, or social difference.

Together, these explorations show how IMWPs can reinforce dominant cultural narratives and implicit norms that shape who is recognized as a valued learner, while also demonstrating how alternative research methods can surface the often unseen or normalized assumptions embedded in educational materials.

Across the thesis, IMWPs emerge not as neutral tasks but as relational, agential, and culturally situated artifacts that enact particular ways of knowing, participating, and becoming—especially in multilingual classrooms. By moving between sociocultural and new materialist perspectives, the work reimagines how IMWPs, and mathematics education more broadly, can be studied and thought-with. Knowledge, ethics, and didactics are inseparable—continuously moving, responsive, and entangled—and this highlights the tensions, possibilities, and responsibilities that IMWPs bring to educational research and practice.

Place, publisher, year, edition, pages
Stockholm: Department of Teaching and Learning, Stockholm University, 2025. p. 256 (4)
Keywords
multilingual mathematics classrooms, social praxis, new materialist theory, post qualitative methodology, situated knowledge
National Category
Didactics
Research subject
Mathematics Education
Identifiers
urn:nbn:se:su:diva-248523 (URN)978-91-8107-430-7 (ISBN)978-91-8107-431-4 (ISBN)
Public defence
2025-12-19, G-salen (hörsal), Arrhenius hus F, Svante Arrhenius väg 20 C and online via Zoom: https://stockholmuniversity.zoom.us/j/69985707169, Stockholm, 13:00 (English)
Opponent
Supervisors
Available from: 2025-11-26 Created: 2025-10-26 Last updated: 2025-11-21Bibliographically approved

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Caligari, Norén & Valero, 2024(504 kB)127 downloads
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Caligari, LauraNorén, EvaValero, Paola

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