Enhancing geometry problem-solving through visualization for multilingual learners

Phumlani Hlongwana; Vimolan Mudaly; Mzwandile Wiseman Zulu

doi:10.29333/ejmste/16564

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Phumlani Hlongwana ¹ ^* , Vimolan Mudaly ¹ , Mzwandile Wiseman Zulu ¹

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¹ University of KwaZulu-Natal, Durban, SOUTH AFRICA^* Corresponding Author

Abstract

Visualization is key in developing learners’ problem-solving skills and mathematical reasoning, yet many South African Grade 11 multilingual learners (MLs) struggle with geometry. This qualitative study, informed by the commognitive framework, explores how visual aids and language influence their understanding. Eighteen MLs participated in task-based interviews and focus group discussions. Findings revealed two main challenges: limited understanding of geometry terms like “arc,” “bisect,” and “subtend,” and difficulty visualizing concepts without a clear vocabulary. However, when visual representations supported instruction, learners showed improved comprehension, identified misconceptions, and communicated their reasoning more effectively. The study concludes that combining visual aids with explicit language support enhances MLs’ geometry learning. Multilingual classrooms should incorporate annotated diagrams, drawing tasks, and vocabulary-focused prompts to strengthen visualization and conceptual understanding.

Keywords

mathematics problem-solving
visualization in geometry
multilingual learning in mathematics education
commognition in geometry thinking

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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Article Type: Research Article

EURASIA J Math Sci Tech Ed, Volume 21, Issue 7, July 2025, Article No: em2662

https://doi.org/10.29333/ejmste/16564

Publication date: 04 Jul 2025

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APA

Hlongwana, P., Mudaly, V., & Zulu, M. W. (2025). Enhancing geometry problem-solving through visualization for multilingual learners. Eurasia Journal of Mathematics, Science and Technology Education, 21(7), em2662. https://doi.org/10.29333/ejmste/16564

Vancouver

Hlongwana P, Mudaly V, Zulu MW. Enhancing geometry problem-solving through visualization for multilingual learners. EURASIA J Math Sci Tech Ed. 2025;21(7):em2662. https://doi.org/10.29333/ejmste/16564

AMA

Hlongwana P, Mudaly V, Zulu MW. Enhancing geometry problem-solving through visualization for multilingual learners. EURASIA J Math Sci Tech Ed. 2025;21(7), em2662. https://doi.org/10.29333/ejmste/16564

Chicago

Hlongwana, Phumlani, Vimolan Mudaly, and Mzwandile Wiseman Zulu. "Enhancing geometry problem-solving through visualization for multilingual learners". Eurasia Journal of Mathematics, Science and Technology Education 2025 21 no. 7 (2025): em2662. https://doi.org/10.29333/ejmste/16564

Harvard

Hlongwana, P., Mudaly, V., and Zulu, M. W. (2025). Enhancing geometry problem-solving through visualization for multilingual learners. Eurasia Journal of Mathematics, Science and Technology Education, 21(7), em2662. https://doi.org/10.29333/ejmste/16564

MLA

Hlongwana, Phumlani et al. "Enhancing geometry problem-solving through visualization for multilingual learners". Eurasia Journal of Mathematics, Science and Technology Education, vol. 21, no. 7, 2025, em2662. https://doi.org/10.29333/ejmste/16564