Integration of Universal Design for Learning in Mathematics Learning Situations in the Initial Training of Basic Education Teachers

Authors

DOI:

https://doi.org/10.5902/1984686X93582

Keywords:

Universal Design for Learning, Learning Situations, Mathematics Education

Abstract

The consideration of Universal Design for Learning (UDL) from the early stages of instructional planning helps to eliminate or minimize barriers in the teaching–learning process. This study analyzes the different forms of engagement, representation, and action and expression considered in the design of learning situations for Mathematics Education. The research, which followed a qualitative approach, was based on the documentary analysis of proposals developed by students from a third-year group of the Degree in Primary Education at the University of Granada. The results show that, although the formal concept of UDL is relatively new to the students, the informal understanding of the term is naturally assimilated and accepted. However, while its principles are integrated into the general planning methodology, their implementation in mathematical tasks across class sessions is inconsistent. It is concluded that incorporating UDL principles into Mathematics Education creates new opportunities to overcome the limitations traditionally associated with learning in this discipline.

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Author Biographies

Elena Molina Portillo, Universidad de Granada

PhD. Elena Molina-Portillo, Professora Contratada Doutora, Departamento de Didáctica da Matemática da Universidade de Granada.

Formação acadêmica: Doutorado em Educação, Doutorado em Matemática e Estatística, Especialista em Epidemiologia e Saúde Pública, Mestrado Oficial em Estatística Aplicada, Certificado de Aptidão Pedagógica, Licenciatura em Ciências em Matemática e Licenciatura em Ciências em Estatística

Especializações: elaboração e desenvolvimento curricular no ensino fundamental, análise didática, formação de professores, didática da estatística, análise e visualização de dados, metodologia de pesquisa, pesquisa aplicada em epidemiologia e saúde pública, gerenciamento de grandes bancos de dados, linguagens de programação

Algumas das minhas publicações recentes incluem:
Compreendendo a desigualdade educacional na Espanha: fatores que influenciam a baixa e a alta competência matemática.
Relevância e identificação de vieses em gráficos estatísticos por futuros professores do ensino fundamental.
Visualização de dados na educação: ferramentas para o desenvolvimento da competência digital (monografia, coordenadora editorial).
Explorando a visualização de dados.
Visualização de dados com CODAP.
Visualização de dados com Tuva.

José Miguel Contreras García, Universidad de Granada

José Miguel Contreras García is a full professor in the Department of Mathematics Didactics at the University of Granada and a member of the Data, Education, and Society (SEJ-622) research group. His academic and scientific career is characterized by a solid background in mathematics, statistics, and teaching, as well as by outstanding research work in the field of statistical education and data literacy.
His initial training includes bachelor's degrees in Mathematical Sciences (specializing in Statistics and Operations Research, 2006) and in Statistical Sciences and Techniques (2007). He subsequently expanded his studies with a Diploma of Advanced Studies in Statistics and Operations Research (2009) and various specialized master's degrees, including a Master's Degree in Mathematics Didactics (2009), a Master's Degree in Applied Statistics (2010), and a Master's Degree in Data Science and Computer Engineering with a specialization in Data Science and Smart Technologies (2021). Her research profile was consolidated with the completion of two doctorates: the first in Mathematics Didactics (2011) and the second in Mathematics and Statistics (2014). In recent years, she has complemented her training with studies in applied sports science and sports analytics, taught by institutions such as SportCoach Academy and the Barça Innovation Hub, demonstrating the transversality of her work between mathematics education and data analysis in real-life contexts.
In the teaching field, Contreras teaches courses at various university levels. In the Bachelor's Degree in Primary Education and the Double Degree in Primary Education and English Studies, she teaches the subject "Mathematical Foundations in Primary Education," contributing to the mathematical training of future teachers. She also participates in the practical training of students through Practicum II. In the Master's Degree in Mathematics Didactics, she teaches subjects related to statistics teaching, while in the Master's Degree for Secondary Education Teachers (MAES), she is responsible for specialized modules in statistics education and the teaching of probability and inference.
Her research focuses on statistical and probabilistic literacy, particularly the analysis of learning difficulties, the training of future teachers, and transnumeration as evidence of statistical understanding. Among her most relevant contributions are recent articles such as:
Mathematical objects linked to the random variable and their applications in teacher training (2023).
Development of a guide to problem situations on random variables for future teachers (2023).
Analysis of transnumeration as evidence of statistical literacy in student teachers (2023).
Level of graphic reading of future teachers and its relationship with statistical literacy (2021).
He has also published manuals and monographs aimed at both research and teaching, including titles such as Introduction to Statistical Programming with R for Teachers (2010) and Assessment of Knowledge and Teaching Resources in Teacher Training on Conditional Probability (2011).
Contreras García has also extensively supervised doctoral theses focused on statistical literacy and the graphic culture of future teachers. His recent doctoral students include Valeria Bizet (2024), Francisco Martínez Ortiz (2023), and Felipe Ruz (2021), who have worked on topics such as understanding distributions, transnumeration, and the critical reading of statistical information.
In terms of scientific outreach, his work has been widely recognized and cited in the international mathematics education community. His Google Scholar profile reflects more than 6,800 citations, consolidating his position as a reference in the field of statistics education. In addition, it is registered in ORCID (0000-0001-6821-0563) and on academic platforms such as ResearchGate, where it actively disseminates its research.

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Published

2025-12-22

How to Cite

Portillo, E. M., & García, J. M. C. (2025). Integration of Universal Design for Learning in Mathematics Learning Situations in the Initial Training of Basic Education Teachers. Special Education Magazine, 38(1), e95/01–19. https://doi.org/10.5902/1984686X93582

Issue

Section

Dossiê – Desenho universal para aprendizagem (DUA): da teoria à prática em múltiplos contextos