A2 Refereed review article in a scientific journal

Roles of mathematics in physics education: A systematic review




AuthorsPalmgren, Elina; Kokkonen, Tommi; Bruun, Jesper

PublisherAmerican Physical Society

Publication year2025

Journal:Physical Review Physics Education Research

Article number020602

Volume21

eISSN2469-9896

DOIhttps://doi.org/10.1103/wwww-gwp8

Web address https://doi.org/10.1103/wwww-gwp8

Self-archived copy’s web addresshttps://research.utu.fi/converis/portal/detail/Publication/504929987


Abstract
Mathematics plays many roles in physics and physics education. While these roles have previously been extensively discussed in the physics education research community, no systematic picture of the multifaceted considerations has yet been formed. To gain a comprehensive overview of the previous studies on the topic, we conducted a systematic literature review on 122 journal articles published between 2000 and 2023 that examine the role of mathematics in physics and physics learning. In the reviewed articles, we employed qualitative content analysis, coded each article for its characteristics, and used network maps for visualization. We identified eight thematic article categories, highlighting the complex integration of mathematics in, for example, physical reasoning, problem solving, modeling, and experiments. Additionally, the review examines theoretical frameworks and contexts, revealing an overemphasis on problem solving in mechanics and a limited exploration of advanced physics topics like quantum mechanics. A detailed inductive analysis further identified six overarching roles that mathematics plays in physics and physics education: (i) supporting learning and achievement, (ii) enabling mathematical manipulations, (iii) guiding reasoning and sensemaking, (iv) facilitating experiments and modeling, (v) serving as a language, and (vi) providing a structural foundation for physics as a science. Based on the analysis, we discuss how the roles assigned to mathematics have been conceptualized in the reviewed articles and provide an overall picture of the types and features of the reviewed corpus. Our findings suggest opportunities for future research, including deeper explorations of underrepresented physics contexts and targeted investigations into specific roles of mathematics in teaching and learning.

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Funding information in the publication
The work of E. P. was supported by The Magnus Ehrnrooth Foundation. Open access funded by Helsinki University Library.


Last updated on 2025-23-10 at 12:57