Visualization, language, and problem-solving: A review of research on multilingual learners in geometry
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1 University of KwaZulu-Natal, Durban, SOUTH AFRICA* Corresponding Author
Abstract
Visualization is widely recognized as a powerful support for problem-solving across disciplines such as mathematics and science. However, research on visualization has often treated it as a language-neutral cognitive tool, paying limited attention to the linguistic and cultural resources of multilingual learners (MLs). This review synthesizes empirical research on the role of visualization in problem-solving for MLs, clarifying its conceptualization, its study, and the evidence regarding its effectiveness for this population. Drawing on cognitive, cognitive-linguistic, and sociocultural perspectives, the review examines how visual representations interact with language demands, disciplinary practices, and learners’ meaning-making processes. The analysis reveals several tensions in the literature, including limited consideration of learners’ language proficiency and a predominance of monolingual research designs. The review also identifies methodological and theoretical gaps, particularly the need for integrated frameworks that account for both visual and linguistic dimensions of problem-solving. Implications for future research and instructional practice are discussed, highlighting directions for more inclusive, theoretically grounded investigations of visualization in multilingual learning contexts.
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Article Type: Literature Review
EURASIA J Math Sci Tech Ed, Volume 22, Issue 7, July 2026, Article No: em2863
https://doi.org/10.29333/ejmste/18792
Publication date: 21 Jun 2026
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Article Downloads: 36
Open Access References How to cite this articleReferences
- Achuonye, K. (2015). Predominant teaching strategies in schools: Implications for curriculum implementation in mathematics, science and technology. Educational Research and Reviews, 10(5), 2096-2103. https://doi.org/10.5897/ERR2015.2184
- Adler, J., & Ronda, E. (2015). A framework for describing mathematics discourse in instruction and interpreting differences in teaching. African Journal of Research in Mathematics, Science and Technology Education, 19(3), 237-254. https://doi.org/10.1080/10288457.2015.1089677
- Alexander, G., & Van Wyk, M. M. (2014). Does cooperative learning as a teaching approach enhances teaching and learning in integrated culturally diverse school settings? An exploratory study. Mediterranean Journal of Social Sciences, 5(2), 689-698. https://doi.org/10.5901/mjss.2014.v5n2p689
- Alibali, M. W., & Nathan, M. J. (2012). Embodiment in mathematics teaching and learning: Evidence from learners’ and teachers’ gestures. Journal of the Learning Sciences, 21(2), 247-286. https://doi.org/10.1080/10508406.2011.611446
- Aljura, A. N., Retnawati, H., Dewanti, S. R., Kassymova, G. K., Sotlikova, R., & Septiana, A. R. (2025). Mathematical reasoning and communication word problems with mathematical problem-solving orientation: A relation between the skills. Journal on Mathematics Education, 16(2), 529-558. https://doi.org/10.22342/jme.v16i2.pp529-558
- Arcavi, A. (2003). The role of visual representations in the learning of mathematics. Educational Studies in Mathematics, 52(3), 215-241. https://doi.org/10.1023/A:1024312321077
- Atanasova-Pachemska, T., Gunova, V., Koceva Lazarova, L., & Pacemska, S. (2016). Visualization of the geometry problems in primary math education–Needs and challenges. IMO–Istrazivanje Matematickog Obrazovanja, 8(15), 33-37.
- Atebe, H. U., & Schafer, M. (2010). Beyond teaching language: Towards terminological primacy in learners’ geometric conceptualisation. Pythagoras, 2010(71), 53-64. https://doi.org/10.4102/pythagoras.v0i71.7
- Azevedo, R. (2020). Reflections on the field of metacognition: Issues, challenges, and opportunities. Metacognition and Learning, 15, 91-98. https://doi.org/10.1007/s11409-020-09231-x
- Ball, D. L. (1991). Implementing the “professional standards for teaching mathematics”: What’s all this talk about “discourse”? The Arithmetic Teacher, 39(3), 44-48. https://doi.org/10.5951/AT.39.3.0044
- Bansilal, S., & Naidoo, J. (2012). Learners engaging with transformation geometry. South African Journal of Education, 32(1), 26-39. https://doi.org/10.15700/saje.v32n1a452
- Barbosa, A., & Vale, I. (2021). A visual approach for solving problems with fractions. Education Sciences, 11(11), Article 727. https://doi.org/10.3390/educsci11110727
- Baroody, A. J. (1989). One point of view: Manipulatives don’t come with guarantees. The Arithmetic Teacher, 37(2), 4-5. https://doi.org/10.5951/AT.37.2.0004
- Barquero, B., Batanero, C., Blanco, T. F., Bosch, M., Camacho-Machin, M., Canadas, M. C., Castro, E., Chamoso, J. M., Contreras, L. C., Gea, M. M., Godino, J. D., Molina, V. M., Moreno, M., & Wilhelmi, M. R. (2022). Spanish research on mathematics education. In C. Fernández, S. Llinares, Á. Gutiérrez, & N. Planas (Eds.), Proceedings of the 45th Conference of the International Group for the Psychology of Mathematics Education, 2022 (pp. 223-254). Psychology of Mathematics Education (PME).
- Barwell, R. (2014). Centripetal and centrifugal language forces in one elementary school second language mathematics classroom. ZDM Mathematics Education, 46, 911-922. https://doi.org/10.1007/s11858-014-0611-1
- Barwell, R. (2016a). Formal and informal mathematical discourses: Bakhtin and Vygotsky, dialogue and dialectic. Educational Studies in Mathematics, 92(3), 331-345. https://doi.org/10.1007/s10649-015-9641-z
- Barwell, R. (2016b). Mathematics education, language and superdiversity. In A. Halai, & P. C. Clarkson (Eds.), Teaching and learning mathematics in multilingual classrooms (pp. 25-39). Brill. https://doi.org/10.1007/978-94-6300-229-5_3
- Barwell, R. (2018). From language as a resource to sources of meaning in multilingual mathematics classrooms. The Journal of Mathematical Behavior, 50, 155-168. https://doi.org/10.1016/j.jmathb.2018.02.007
- Barwell, R. (2020). Learning mathematics in a second language: Language positive and language neutral classrooms. Journal for Research in Mathematics Education, 51(2), 150-178. https://doi.org/10.5951/jresematheduc-2020-0018
- Barwell, R. (Ed.). (2009). Multilingualism in mathematics classrooms: Global perspectives. Multilingual Matters. https://doi.org/10.21832/9781847692061
- Barwell, R., Clarkson, P., Halai, A., Kazima, M., Moschkovich, J., Planas, N., Phakeng, M., Valero, P., & Villavicencio Ubillús, M. (2016). Mathematics education and language diversity: The 21st ICMI study. Springer. https://doi.org/10.1007/978-3-319-14511-2
- Battista, M. T., & Clements, D. H. (1995). Connecting research to teaching: Geometry and proof. Mathematics Teacher, 88(1), 48-54. https://doi.org/10.5951/MT.88.1.0048
- Bautista, A., Cañadas, M. C., Brizuela, B. M., & Schliemann, A. D. (2015). Examining how teachers use graphs to teach mathematics during a professional development program. Journal of Education and Training Studies, 3(2), 91-106. https://doi.org/10.11114/jets.v3i2.676
- Bautista, F., Pacheco, A., Ayala, G. (2015). Indicadores de cambio climático con datos diarios [Climate change indicators with daily data]. Skiu.
- Behlol, M. G., Akbar, R. A., & Sehrish, H. (2018). Effectiveness of problem solving method in teaching mathematics at elementary level. Bulletin of Education and Research, 40(1), 231-244.
- Bender, W. N. (Ed.). (2009). Differentiating math instruction: Strategies that work for K-8 classrooms. Corwin Press.
- Bermejo Fernandez, C., Nurmi, P., & Hui, P. (2021). Seeing is believing? Effects of visualization on smart device privacy perceptions. In Proceedings of the 29th ACM International Conference on Multimedia (pp. 4183-4192). ACM. https://doi.org/10.1145/3474085.3475552
- Biccard, P. (2020). Distance-education student teachers’ views of teaching mathematics problem solving while on teaching practice. African Journal of Research in Mathematics, Science and Technology Education, 24(2), 205-215. https://doi.org/10.1080/18117295.2020.1812837
- Brijlall, D. (2008). Collaborative learning in a multilingual class. Pythagoras, 2008(68), 52-61. https://doi.org/10.4102/pythagoras.v0i68.67
- Bruce, C. D., & Hawes, Z. (2015). The role of 2D and 3D mental rotation in mathematics for young children: What is it? Why does it matter? And what can we do about it? ZDM Mathematics Education, 47, 331-343. https://doi.org/10.1007/s11858-014-0637-4
- Bruner, J. (1996). Modes of thought: Explorations in culture and cognition. Cambridge University Press.
- Caglayan, G. (2014). Static versus dynamic disposition: The role of GeoGebra in representing polynomial-rational inequalities and exponential-logarithmic functions. Computers in the Schools, 31(4), 339-370. https://doi.org/10.1080/07380569.2014.967632
- Cai, J., & Leikin, R. (2020). Affect in mathematical problem posing: Conceptualization, advances, and future directions for research. Educational Studies in Mathematics, 105, 287-301. https://doi.org/10.1007/s10649-020-10008-x
- Cain, C. M. (2020). Understanding the use of learner-centered teaching strategies by secondary educators [PhD thesis, Walden University].
- Carney, R. N., & Levin, J. R. (2002). Pictorial illustrations still improve students’ learning from text. Educational Psychology Review, 14(1), 5-26. https://doi.org/10.1023/A:1013176309260
- Cesaria, A., & Herman, T. (2019). Mathematical reasoning in geometry learning using information and communication technology (ICT). Journal of Physics: Conference Series, 1157, Article 042101. https://doi.org/10.1088/1742-6596/1157/4/042101
- Chen, T. M., Rui, J., Wang, Q. P., Zhao, Z. Y., Cui, J. A., & Yin, L. (2020). A mathematical model for simulating the phase-based transmissibility of a novel coronavirus. Infectious Diseases of Poverty, 9(1), Article 24. https://doi.org/10.1186/s40249-020-00640-3
- Cheng, Y. L., & Mix, K. S. (2014). Spatial training improves children’s mathematics ability. Journal of Cognition and Development, 15(1), 2-11. https://doi.org/10.1080/15248372.2012.725186
- Chimire, F., Godfrey, M., & Zvarevashe, K. (2022). Tomato leaf diseases detection with recommended prescription using deep learning. In Proceedings of the 2022 1st Zimbabwe Conference of Information and Communication Technologies (pp. 1-6). IEEE. https://doi.org/10.1109/ZCICT55726.2022.10045854
- Chirinda, B., & Barmby, P. (2017). The development of a professional development intervention for mathematical problem-solving pedagogy in a localised context. Pythagoras, 38(1), 1-11. https://doi.org/10.4102/pythagoras.v38i1.364
- Chirinda, B., & Barmby, P. (2018). South African grade 9 mathematics teachers’ views on the teaching of problem solving. African Journal of Research in Mathematics, Science and Technology Education, 22(1), 114-124. https://doi.org/10.1080/18117295.2018.1438231
- Chiu, T. K., & Churchill, D. (2015). Exploring the characteristics of an optimal design of digital materials for concept learning in mathematics: Multimedia learning and variation theory. Computers & Education, 82, 280-291. https://doi.org/10.1016/j.compedu.2014.12.001
- Chu, M., & Kita, S. (2011). The nature of gestures’ beneficial role in spatial problem solving. Journal of Experimental Psychology: General, 140(1), Article 102. https://doi.org/10.1037/a0021790
- Clarkson, P. C. (2009). Potential lessons for teaching in multilingual mathematics classrooms in Australia and Southeast Asia. Journal of Science and Mathematics Education in Southeast Asia, 32(1), 1-17.
- Clarkson, P. C., & Idris, N. (2006). Reverting to English to teach mathematics: How are Malaysian teachers and students changing in response to a new language context for learning? Journal of Science and Mathematics Education in Southeast Asia, 29(2), 69-96.
- Cohrssen, C., & Church, A. (2017). Conversation analysis: Analyzing talk-in-interaction with preschool children during play-based mathematics activities. SAGE. https://doi.org/10.4135/9781526414021
- Collett, P., & Steyn, C. (2017). Using African designs in virtual manipulatives for geometrical concept development. In Proceedings of the Bridges 2017: Mathematics, Art, Music, Architecture, Education, Culture (pp. 455-458).
- Danişman, Ş., & Erginer, E. (2017). The predictive power of fifth graders’ learning styles on their mathematical reasoning and spatial ability. Cogent Education, 4(1), Article 1266830. https://doi.org/10.1080/2331186X.2016.1266830
- Debrenti, E. (2015). Visual representations in mathematics teaching: An experiment with students. Acta Didactica Napocensia, 8(1), 19-25.
- Deliyianni, E., Monoyiou, A., Elia, I., Georgiou, C., & Zannettou, E. (2009). Pupils’ visual representations in standard and problematic problem solving in mathematics: Their role in the breach of the didactical contract. European Early Childhood Education Research Journal, 17(1), 95-110. https://doi.org/10.1080/13502930802689079
- Department of Education. (2019). Policy Guidelines on the K to 12 Basic Education Program. https://www.deped.gov.ph/wp-content/uploads/2019/08/DO_s2019_021.pdf
- Desoete, A., & De Craene, B. (2019). Metacognition and mathematics education: An overview. ZDM Mathematics Education, 51, 565-575. https://doi.org/10.1007/s11858-019-01060-w
- Diezmann, C. M. (1995). Evaluating the effectiveness of the strategy ‘draw a diagram’ as a cognitive tool for problem solving. In Proceedings of the 18th Annual Conference of Mathematics Education Research Group of Australasia (pp. 223-228).
- Diezmann, C. M. (2001). Promoting the use of diagrams as tools for thinking. The roles of representation in school mathematics. National Council of Teachers of Mathematics.
- Donaldson, T. (2015). Platitudes in mathematics. Synthese, 192, 1799-1820. https://doi.org/10.1007/s11229-014-0653-5
- Drezmann, C., & Lowries, T. (2012). Learning to think spatially. What do students “see” in numeracy test items? International Journal of Science and Mathematics Education, 10(6), 1469-1490. https://doi.org/10.1007/s10763-012-9350-3
- Duval, R. (1995). Geometrical pictures: Kinds of representation and specific processing. In R. Sutherland, & J. Mason (Eds.), Exploiting mental imagery with computers in mathematics education (pp. 142-157). Springer. https://doi.org/10.1007/978-3-642-57771-0_10
- Ebomoyi, J. I. (2020). Metacognition and peer learning strategies as predictors in problem-solving performance in microbiology. Journal of Microbiology & Biology Education, 21(1). https://doi.org/10.1128/jmbe.v21i1.1715
- Efklides, A. (2001). Metacognitive experiences in problem solving: Metacognition, motivation, and self regulation. In A. Efklides, J. Kuhl, & R. M. Sorrentino (Eds.), Trends and prospects in motivation research (pp. 297-323). Springer. https://doi.org/10.1007/0-306-47676-2_16
- Enrique-Romero, J., Rimola, A., Ceccarelli, C., & Balucani, N. (2016). The (impossible?) formation of acetaldehyde on the grain surfaces: Insights from quantum chemical calculations. Monthly Notices of the Royal Astronomical Society: Letters, 459(1), L6-L10. https://doi.org/10.1093/mnrasl/slw031
- Erbaş, A. K., & Okur, S. (2012). Researching students’ strategies, episodes, and metacognitions in mathematical problem solving. Quality & Quantity, 46, 89-102. https://doi.org/10.1007/s11135-010-9329-5
- Ernest, P. (1989). The impact of beliefs on the teaching of mathematics. Mathematics Teaching: The State of the Art, 249, Article 254.
- Essien, A. A. (2013). Preparing pre-service mathematics teachers to teach in multilingual classrooms: A community of practice perspective [PhD thesis, University of the Witwatersrand].
- Fadhilatullathifi, Z. N., Ardiyanto, B., Rahayu, D. D., Almukholani, T., Rinayah, I., & Rahmawati, F. (2020, August). Four-tier diagnostic test method to identify conceptual understanding in calculus. In Journal of Physics: Conference Series (Vol. 1613, No. 1, 012075). IOP Publishing. https://doi.org/10.1088/1742-6596/1613/1/012075
- Flood, M., & Banks, J. (2021). Universal design for learning: Is it gaining momentum in Irish education? Education Sciences, 11(7), Article 341. https://doi.org/10.3390/educsci11070341
- Flood, V. J. (2021). The secret multimodal life of IREs: Looking more closely at representational gestures in a familiar questioning sequence. Linguistics and Education, 63, Article 100913. https://doi.org/10.1016/j.linged.2021.100913
- Franceschini, R. (2009). The genesis and development of research in multilingualism. In L. Aronin, & B. Hufeisen (Eds.), The exploration of multilingualism (pp. 27-60). John Benjamins Publishing Company. https://doi.org/10.1075/aals.6.03ch3
- Fujita, K., Inoue, A., Kuzuya, M., Uno, C., Huang, C. H., Umegaki, H., & Onishi, J. (2020). Mental health status of the older adults in Japan during the COVID-19 pandemic. Journal of the American Medical Directors Association, 22(1), Article 220. https://doi.org/10.1016/j.jamda.2020.11.023
- Furner, J. M., & Worrell, N. L. (2017). The importance of using manipulatives in teaching math today. Transformations, 3(1), Article 2.
- Garofalo, J., & Lester, F. K. (1985). Metacognition, cognitive monitoring, and mathematical performance. Journal for Research in Mathematics Education, 16(3), 163-176. https://doi.org/10.2307/748391
- Gcasamba, L. C. (2014). A discursive analysis of learners’ mathematical thinking: The case of functions [PhD thesis, University of the Witwatersrand].
- Gohel, M. S., Barwell, J. R., Taylor, M., Chant, T., Foy, C., Earnshaw, J. J., Heather, D. C., Whyman, M. R., & Poskitt, K. R. (2007). Long term results of compression therapy alone versus compression plus surgery in chronic venous ulceration (ESCHAR): Randomised controlled trial. BMJ, 335(7610), Article 83. https://doi.org/10.1136/bmj.39216.542442.BE
- Golafshani, N. (2013). Teachers’ beliefs and teaching mathematics with manipulatives. Canadian Journal of Education, 36(3), 137-159.
- Govender, L. (2015). An exploration of pre-service science and mathematics teachers’ use of visualisation in a problem solving context: A case study at a South African university [PhD thesis, University of KwaZulu-Natal].
- Halmos, P. R. (1980). The heart of mathematics. The American Mathematical Monthly, 87(7), 519-524. https://doi.org/10.1080/00029890.1980.11995081
- Hanegem, J. V. (2017). Promoting students’ problem-solving skills in secondary mathematics education [Master’s thesis, Utrecht University].
- Hanna, G. (2007). Visualization, explanation and reasoning styles in mathematics. Springer.
- Harris, C., Rossi, R. A., Malik, S., Hoffswell, J., Du, F., Lee, T. Y., Koh, E., & Zhao, H. (2023). Visual insight recommendation: From ranking insight visualizations to insight types. In Proceedings of the 2023 IEEE International Conference on Big Data (pp. 1716-1725). IEEE. https://doi.org/10.1109/BigData59044.2023.10386099
- Hawes, Z., Moss, J., Caswell, B., Naqvi, S., & MacKinnon, S. (2017). Enhancing children’s spatial and numerical skills through a dynamic spatial approach to early geometry instruction: Effects of a 32-week intervention. Cognition and Instruction, 35(3), 236-264. https://doi.org/10.1080/07370008.2017.1323902
- 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), Article em2662. https://doi.org/10.29333/ejmste/16564
- Hossain, A., & Rezal, M. (2018). Integration of structured cooperative learning in mathematics classrooms. International Journal of Psychology and Educational Studies, 5(1), 23-29. https://doi.org/10.17220/ijpes.2018.01.004
- Hudojo, H. (2005). Pengembangan kurikulum dan pembelajaran matematika [Curriculum development and mathematics learning]. UM Press.
- Hughes, C. A., Morris, J. R., Therrien, W. J., & Benson, S. K. (2017). Explicit instruction: Historical and contemporary contexts. Learning Disabilities Research & Practice, 32(3), 140-148. https://doi.org/10.1111/ldrp.12142
- Hunter, J. S. (2011). The effects of graphing calculator use on high-school students’ reasoning in integral calculus [PhD thesis, University of New Orleans].
- Jackson, D. (2023). Designing and expanding maths and science support for optimal student learning experiences in a changing environment. In Proceedings of The Australian Conference on Science and Mathematics Education (pp. 40-40).
- Johnson, D. W., Johnson, R. T., & Holubec, E. J. (1994). The new circles of learning: Cooperation in the classroom and school. ASCD.
- Jones, A. (2007). Multiplicities or manna from heaven? Critical thinking and the disciplinary context. Australian journal of Education, 51(1), 84-103. https://doi.org/10.1177/000494410705100107
- Jones, K. (2013). Diagrams in the teaching and learning of geometry: Some results and ideas for future research. Proceedings of the British Society for research into Learning Mathematics, 33(2), 37-42.
- Kahiya, A., & Brijlall, D. (2021a). Mathematics lecturers and students views on the role of language in a multilingual classroom at TVET college level. PONTE International Journal of Science and Research, 77(9). https://doi.org/10.21506/j.ponte.2021.9.1
- Kahiya, A., & Brijlall, D. (2021b). What are the strategies for teaching and learning mathematics that can be used effectively in a multilingual classroom. Technology Reports of Kansai University, 63(5).
- Karadeniz, I., & Thompson, D. R. (2018). Precalculus teachers’ perspectives on using graphing calculators: an example from one curriculum. International Journal of Mathematical Education in Science and Technology, 49(1), 1-14. https://doi.org/10.1080/0020739X.2017.1334968
- Karali, Y., & Aydemir, H. (2018). The effect of cooperative learning on the academic achievement and attitude of students in mathematics class. Educational Research and Reviews, 13(21), 712-722. https://doi.org/10.5897/ERR2018.3636
- Kemp, C. (2009). Defining multilingualism. In L. Aronin, & B. Hufeisen (Eds.), The exploration of multilingualism (pp. 11-26). John Benjamins Publishing Company. https://doi.org/10.1075/aals.6.02ch2
- Kilpatrick, J. (1987). Formulating the problem: Where do good problems come from? In A. H. Schoenfeld (Ed.), Cognitive science and mathematics education (pp. 123-147). Lawrence Erlbaum Associates.
- Klein, S., & Leikin, R. (2020). Opening mathematical problems for posing open mathematical tasks: What do teachers do and feel? Educational Studies in Mathematics, 105(3), 349-365. https://doi.org/10.1007/s10649-020-09983-y
- Kosslyn, S. M. (1996). Image and brain: The resolution of the imagery debate. MIT Press.
- Kuzle, A. (2018). Assessing metacognition of grade 2 and grade 4 students using an adaptation of multi method interview approach during mathematics problem-solving. Mathematics Education Research Journal, 30(2), 185-207. https://doi.org/10.1007/s13394-017-0227-1
- Lazakidou, G., & Retalis, S. (2010). Using computer supported collaborative learning strategies for helping students acquire self-regulated problem-solving skills in mathematics. Computers & Education, 54(1), 3-13. https://doi.org/10.1016/j.compedu.2009.02.020
- Leavy, A., & Hourigan, M. (2020). Posing mathematically worthwhile problems: Developing the problem-posing skills of prospective teachers. Journal of Mathematics Teacher Education, 23(4), 341-361. https://doi.org/10.1007/s10857-018-09425-w
- Lester, F. K. (1994). Musings about mathematical problem-solving research: 1970-1994. Journal for Research in Mathematics Education, 25(6), 660-675. https://doi.org/10.2307/749578
- Lester, F. K., Garofalo, J., & Kroll, D. (1989). The role of metacognition in mathematical problem solving: A study of two grade seven classes. NSF.
- Lipovec, A., & Podgoršek, M. (2016). Risba kot orodje za vpogled v matematično razumevanje [Drawing as a tool for insight mathematical understanding]. Psihološka Obzorja, 25(1), 156–166. https://doi.org/10.20419/2016.25.452
- Lois, A., & Milevicich, L. (2010). The impact of technological tools in the teaching and learning of integral calculus. In Proceedings of CERME 6.
- Lowrie, T., Logan, T., & Hegarty, M. (2019). The influence of spatial visualization training on students’ spatial reasoning and mathematics performance. Journal of Cognition and Development, 20(5), 729-751. https://doi.org/10.1080/15248372.2019.1653298
- Luneta, K. (2014). Foundation phase teachers’(limited) knowledge of geometry. South African Journal of Childhood Education, 4(3), 71-86. https://doi.org/10.4102/sajce.v4i3.228
- Luneta, K. (2015). Understanding students’ misconceptions: An analysis of final grade 12 examination questions in geometry. Pythagoras, 36(1), 1-11. https://doi.org/10.4102/pythagoras.v36i1.261
- Mahlaba, S. C. (2021). Exploring the discourses of preservice mathematics teachers when solving geometry problems [Doctoral dissertation, University of KwaZulu-Natal, Edgewood].
- Maluleke, R. (2019). A pedagogy for technology education: An indigenous perspective [PhD thesis, University of South Africa].
- Maries, A., & Singh, C. (2018a). Case of two electrostatics problems: Can providing a diagram adversely impact introductory physics students’ problem solving performance? Physical Review Physics Education Research, 14, Article 010114. https://doi.org/10.1103/PhysRevPhysEducRes.14.010114
- Maries, A., & Singh, C. (2018b). Do students benefit from drawing productive diagrams themselves while solving introductory physics problems? The case of two electrostatics problems. European Journal of Physics, 39(1), Article 015703. https://doi.org/10.1088/1361-6404/aa9038
- Marlewski, A., & Zarzycki, P. (2004). Infinitely many positive solutions of the diophantine equation x2- kxy+ y2 + x = 0. Computers & Mathematics with Applications, 47(1), 115-121. https://doi.org/10.1016/S0898-1221(04)90010-7
- Mesaros, L., & Weinkopf, C. (2012). Wirkungen der Mindestlohnregelungen im Objektkundengeschäft [Effects of minimum wage regulations in the commercial customer business]. Journal for Labour Market Research, 45(3), 279-302. https://doi.org/10.1007/s12651-012-0116-8
- Mnguni, L. E. (2014). The theoretical cognitive process of visualization for science education. SpringerPlus, 3, 1-9. https://doi.org/10.1186/2193-1801-3-184
- Moleka, P. (2021). The notion of Ubuntu and its implications for sustainable cities in Africa. The case of Kinshasa. OSF Preprints. https://doi.org/10.31219/osf.io/j63ye
- Moleko, M. M. (2021). Teachers’ perspectives on addressing linguistic factors affecting visualization of mathematics word problems. Eurasia Journal of Mathematics, Science and Technology Education, 17(11), Article em2029. https://doi.org/10.29333/ejmste/11248
- Morgan, P. L., Farkas, G., Hillemeier, M. M., Hammer, C. S., & Maczuga, S. (2015). 24-month-old children with larger oral vocabularies display greater academic and behavioral functioning at kindergarten entry. Child Development, 86(5), 1351-1370. https://doi.org/10.1111/cdev.12398
- Moru, E. K., Malebanye, M., Morobe, N., & George, M. J. (2021). A van Hiele theory analysis for teaching volume of three dimensional geometric shapes. Journal of Research and Advances in Mathematics Education, 6(1), 17-31. https://doi.org/10.23917/jramathedu.v6i1.11744
- Moschkovich, J. N. (2002). A situated and sociocultural perspective on bilingual mathematics learners. Mathematical Thinking and Learning, 4(2-3), 189-212. https://doi.org/10.1207/S15327833MTL04023_5
- Moschkovich, J. N. (2007). Examining mathematical discourse practices. For the Learning of Mathematics, 27(1), 24-30.
- Moschkovich, J. N. (2012). Mathematics, the common core, and language. Teachers College Record, 96(3), 418-431.
- Moschkovich, J. N. (2013). Issues regarding the concept of mathematical practices. In Y. Li, & J. N. Moschkovich (Eds.), Proficiency and beliefs in learning and teaching mathematics: Learning from Alan Schoenfeld and Günter Toerner (pp. 257-275). Sense Publishers. https://doi.org/10.1007/978-94-6209-299-0_15
- Moschkovich, J. N. (2015a). Academic literacy in mathematics for English learners. The Journal of Mathematical Behavior, 40, 43-62. https://doi.org/10.1016/j.jmathb.2015.01.005
- Moschkovich, J. N. (2015b). Scaffolding student participation in mathematical practices. ZDM Mathematics Education, 47, 1067-1078. https://doi.org/10.1007/s11858-015-0730-3
- Moschkovich, J. N. (2017). Revisiting early research on early language and number names. Eurasia Journal of Mathematics Science and Technology Education, 13(7b), 4143-4156. https://doi.org/10.12973/eurasia.2017.00802a
- Moschkovich, J. N. (2018). Talking to learn mathematics with understanding: Supporting academic literacy in mathematics for English learners. In A. L. Bailey, C. A. Maher, & L. C. Wilkinson (Eds.), Language, literacy, and learning in the STEM disciplines (pp. 13-34). Routledge. https://doi.org/10.4324/9781315269610-2
- Moschkovich, J. N. (2019). Codeswitching and mathematics learners: How hybrid language practices provide resources for student participation in mathematical practices. In J. MacSwan, & C. J. Faltis (Eds.), Codeswitching in the classroom (pp. 88-113). Routledge. https://doi.org/10.4324/9781315401102-4
- Mudaly, V. (2012). Diagrams in mathematics: To draw or not to draw? Perspectives in Education, 30(2), 22-31. https://doi.org/10.38140/pie.v30i2.1756
- Mudaly, V. (2016). Pre-service teachers’ understanding of the concept of proof. International Scientific Researches Journal, 72(5), 137-158. https://doi.org/10.21506/j.ponte.2016.5.15
- Mudaly, V. (2021). Visualizing as a means of understanding in the fourth industrial revolution environment. Teaching and Learning in the 21st Century: Embracing the Fourth Industrial Revolution, 6, Article 53. https://doi.org/10.1163/9789004460386_004
- Mudaly, V., & Narriadoo, D. (2023). Solving word problems by visualising. African Journal of Research in Mathematics, Science and Technology Education, 27(1), 47-59. https://doi.org/10.1080/18117295.2023.2183612
- Mudaly, V., & Rampersad, R. (2010). The role of visualisation in learners’ conceptual understanding of graphical functional relationships. African Journal of Research in Mathematics, Science and Technology Education, 14(1), 36-48. https://doi.org/10.1080/10288457.2010.10740671
- Mudhefi, F., Mabotja, K., & Muthelo, D. (2024). The use of van Hiele’s geometric thinking model to interpret grade 12 learners’ learning difficulties in Euclidean geometry. Perspectives in Education, 42(2), 162-175. https://doi.org/10.38140/pie.v42i2.8350
- Muflihatusubriyah, U., Utomo, R. B., & Saputra, N. N. (2021). Analisis kemampuan pemecahan masalah matematis siswa berdasarkan disposisi matematis [Analysis of students’ mathematical problem-solving ability based on mathematical disposition]. AlphaMath : Journal of Mathematics Education, 7(1), 49-56. https://doi.org/10.30595/alphamath.v7i1.9936
- Mukuka, A., & Alex, J. K. (2024). Foundational mathematical knowledge of prospective teachers: Evidence from a professional development training. Pythagoras, 45(1), Article 764. https://doi.org/10.4102/PYTHAGORAS.v45i1.764
- Naidoo, J. (2011). Scaffolding the teaching and learning of mathematics. In Proceedings of the 17th National Congress of the Association for Mathematics Education of South Africa (pp. 124-134).
- Naroth, C., & Luneta, K. (2015). Implementing the Singapore mathematics curriculum in South Africa: Experiences of foundation phase teachers. African Journal of Research in Mathematics, Science and Technology Education, 19(3), 267-277. https://doi.org/10.1080/10288457.2015.1089675
- National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. National Council of Teachers of Mathematics.
- Ng, B. L., Liu, W. C., & Wang, J. C. (2016). Student motivation and learning in mathematics and science: A cluster analysis. International Journal of Science and Mathematics Education, 14(7), 1359-1376. https://doi.org/10.1007/s10763-015-9654-1
- Ngirishi, H. (2015). An exploration of FET mathematics learners’ understanding of geometry [Doctoral dissertation, University of KwaZulu-Natal, Edgewood].
- Orhani, S. (2025). From stated knowledge to certainty of thought: A study on four-level tests in mathematics teaching. Journal of Education for Sustainable Development Studies, 2(2), 156-174. https://doi.org/10.70232/jesds.v2i2.53
- Ozkaya, M., Ocal, M. F., & Konyalioglu, A. C. (2016). Visualization in solving inequality questions: Case of pre-Service mathematics teachers. Journal of Education and Human Development, 5(4), 119-137. https://doi.org/10.15640/jehd.v5n4a12
- Ozturk, T., & Guven, B. (2016). Evaluating students’ beliefs in problem solving process: A case study. Eurasia Journal of Mathematics Science and Technology Education, 12(3), 411-429. https://doi.org/10.12973/eurasia.2016.1208a
- Pambudi, D. S., Budayasa, I. K., & Lukito, A. (2018). Mathematical connection profile of junior high school students in solving mathematical problems based on gender difference. International Journal of Scientific Research and Management, 6(8), 73-78. https://doi.org/10.18535/ijsrm/v6i8.m01
- Pambudi, D. S., Budayasa, I. K., & Lukito, A. (2020). The role of mathematical connections in mathematical problem solving. Jurnal Pendidikan Matematika, 14(2), 129-144. https://doi.org/10.22342/jpm.14.2.10985.129-144
- Pedersen, S. A., Mancosu, P., & Jorgensen, K. F. (2005). Visualization, explanation and reasoning styles in mathematics. Springer.
- Pereira, A. F., & Smith, L. B. (2009). Developmental changes in visual object recognition between 18 and 24 months of age. Developmental Science, 12(1), 67-80. https://doi.org/10.1111/j.1467-7687.2008.00747.x
- Planas, N. (2018). Language as resource: A key notion for understanding the complexity of mathematics learning. Educational Studies in Mathematics, 98(3), 215-229. https://doi.org/10.1007/s10649-018-9810-y
- Planas, N., & Chronaki, A. (2021). Multilingual mathematics learning from a dialogic-translanguaging perspective. In N. Planas, C. Morgan, & M. Schütte (Eds.), Classroom research on mathematics and language (pp. 151-166). Routledge. https://doi.org/10.4324/9780429260889-11
- Planas, N., & Setati-Phakeng, M. (2014). On the process of gaining language as a resource in mathematics education. ZDM Mathematics Education, 46, 883-893. https://doi.org/10.1007/s11858-014-0610-2
- Polya, G. (1945). How to solve it: A new aspect of mathematical method. Princeton University Press. https://doi.org/10.1515/9781400828678
- Prediger, S. (2019). Investigating and promoting teachers’ expertise for language-responsive mathematics teaching. Mathematics Education Research Journal, 31(4), 367-392. https://doi.org/10.1007/s13394-019-00258-1
- Presmeg, N. (2006). Research on visualization in learning and teaching mathematics. In Á. Gutiérrez, & P. Boero (Eds.), Handbook of research on the psychology of mathematics education (pp. 205-235). Brill. https://doi.org/10.1163/9789087901127_009
- Presmeg, N. (2014). Contemplating visualization as an epistemological learning tool in mathematics. ZDM, 46(1), 151-157. https://doi.org/10.1007/s11858-013-0561-z
- Rahman, A., & Ahmar, A. (2016). Exploration of mathematics problem solving process based on the thinking level of students in junior high school. International Journal of Environmental and Science Education, 11(14).
- Rathour, L., Obradovic, D., Tiwari, S. K., Mishra, L. N., & Mishra, V. N. (2022). Visualization method in mathematics classes. Computational Algorithms and Numerical Dimensions, 1(4), 141-146.
- Robertson, S. A., & Graven, M. (2019). Exploratory mathematics talk in a second language: A sociolinguistic perspective. Educational Studies in Mathematics, 101(2), 215-232. https://doi.org/10.1007/s10649-018-9840-5
- Romberg, T. A. (1994). World class standards: The mathematical sciences education perspective.
- Rösken, B., & Rolka, K. (2006). A picture is worth a 1000 words–The role of visualization in mathematics learning. In Proceedings of the 30th Conference of the International Group for the Psychology of Mathematics Education (vol. 4, pp. 457-464). Charles University.
- Ryan, U., & Parra, A. (2019). Epistemological aspects of multilingualism in mathematics education: An inferentialist approach. Research in Mathematics Education, 21(2), 152-167. https://doi.org/10.1080/14794802.2019.1608290
- Sack, J., & van Niekerk, R. (2009). Developing the spatial operational capacity of young children using wooden cubes and dynamic simulation software. Understanding geometry for a changing world: Seventy-first yearbook (pp. 141-154).
- Sack, J., & Vazquez, I. (2016a). A 3D visualization teaching-learning trajectory for elementary grades children. Springer. https://doi.org/10.1007/978-3-319-29799-6
- Sack, J., & Vazquez, I. (2016b). Introductory activities. In J. Sack , & I. Vazquez (Eds.), A 3D visualization teaching-learning trajectory for elementary grades children (pp. 13-18). Springer. https://doi.org/10.1007/978-3-319-29799-6_3
- Samosa, R. C. (2021). Mobile virtual laboratory as innovative strategy to improve learners’ achievement, attitudes, and learning environment in teaching chemistry. International Journal of Multidisciplinary: Applied Business and Education Research, 2(5), 398-400. https://doi.org/10.11594/ijmaber.02.05.04
- Sanders, J. R. (1994). The program evaluation standards: How to assess evaluations of educational programs. SAGE.
- Schnotz, W. (2002). Commentary: Towards an integrated view of learning from text and visual displays. Educational Psychology Review, 14(1), 101-120. https://doi.org/10.1023/A:1013136727916
- Schoenfeld, A. H. (1983). Beyond the purely cognitive: Belief systems, social cognitions, and metacognitions as driving forces in intellectual performance. Cognitive Science, 7(4), 329-363. https://doi.org/10.1207/s15516709cog0704_3
- Schoenfeld, A. H. (1987). Pólya, problem solving, and education. Mathematics Magazine, 60(5), 283-291. https://doi.org/10.2307/2690409
- Schoenfeld, A. H. (1992). On paradigms and methods: What do you do when the ones you know don’t do what you want them to? Issues in the analysis of data in the form of videotapes. The Journal of the Learning Sciences, 2(2), 179-214. https://doi.org/10.1207/s15327809jls0202_3
- Schoenherr, J., Strohmaier, A. R., & Schukajlow, S. (2024). Learning with visualizations helps: A meta analysis of visualization interventions in mathematics education. Educational Research Review, 45(10), 100639. https://doi.org/10.1016/j.edurev.2024.100639
- Setati, M., & Barwell, R. (2006). Discursive practices in two multilingual mathematics classrooms: An international comparison. African Journal of Research in Mathematics, Science and Technology Education, 10(2), 27-38. https://doi.org/10.1080/10288457.2006.10740602
- Setati, M., & Barwell, R. (2008). Making mathematics accessible for multilingual learners: Guest editorial. Pythagoras, 2008(1), 2-4. https://doi.org/10.4102/pythagoras.v0i67.68
- Sfard, A. (2008). Thinking as communicating: Human development, the growth of discourses, and mathematizing. Cambridge University Press. https://doi.org/10.1017/CBO9780511499944
- Sharma, S., & Sharma, S. (2023). Successful teaching practices for English language learners in multilingual mathematics classrooms: A meta-analysis. Mathematics Education Research Journal, 35(4), 821-848. https://doi.org/10.1007/s13394-022-00414-0
- Shilo, A., & Kramarski, B. (2019). Mathematical-metacognitive discourse: How can it be developed among teachers and their students? Empirical evidence from a videotaped lesson and two case studies. ZDM Mathematics Education, 51, 625-640. https://doi.org/10.1007/s11858-018-01016-6
- Shoba, B., Jeyanthi, J., & Vairam, S. (2020). Synthesis, characterization of cellulose acetate membrane and application for the treatment of oily wastewater. Environmental Technology, 41(12), 1590-1605. https://doi.org/10.1080/09593330.2018.1543353
- Silver, E. A. (1994). On mathematical problem posing. For the Learning of Mathematics, 14(1), 19-28.
- Sinclair, N., & Bruce, C. D. (2015). New opportunities in geometry education at the primary school. ZDM Mathematics Education, 47, 319-329. https://doi.org/10.1007/s11858-015-0693-4
- Sintonen, S. (2024). Stones, situated writing and education. Educational Philosophy and Theory, 56(14), 1366-1377. https://doi.org/10.1080/00131857.2024.2393424
- Slavin, R. E. (1996). Research on cooperative learning and achievement: What we know, what we need to know. Contemporary Educational Psychology, 21(1), 43-69. https://doi.org/10.1006/ceps.1996.0004
- South African National Research Council. (2001). Educating teachers of science, mathematics, and technology: New practices for the new millennium. National Academies Press.
- Sparks, W. B., Germer, T. A., & Sparks, R. M. (2019). Classical polarimetry with a twist: A compact, geometric approach. Publications of the Astronomical Society of the Pacific, 131(1001), Article 075002. https://doi.org/10.1088/1538-3873/ab1933
- Stylianou, D. A. (2002). On the interaction of visualization and analysis: The negotiation of a visual representation in expert problem solving. The Journal of Mathematical Behavior, 21(3), 303-317. https://doi.org/10.1016/S0732-3123(02)00131-1
- Stylianou, D. A., & Silver, E. A. (2004). The role of visual representations in advanced mathematical problem solving: An examination of expert-novice similarities and differences. Mathematical Thinking and Learning, 6(4), 353-387. https://doi.org/10.1207/s15327833mtl0604_1
- Sundari, E., & Prabawati, M. N. (2019). Analysis of visual thinking ability in solving PISA problem domain. Journal of Authentic Research on Mathematics Education, 1(2), 131-138.
- Surya, E., Sabandar, J., & Kusumah, Y. S. (2013). Improving of junior high school visual thinking representation ability in mathematical problem solving by CTL. Indonesian Mathematical Society Journal on Mathematics Education, 4(1), 113-126. https://doi.org/10.22342/jme.4.1.568.113-126
- Sutch, D. (2010). Education futures, teachers and technology. NFER.
- Swanson, E., Wanzek, J., Petscher, Y., Vaughn, S., Heckert, J., Cavanaugh, C., Kraft, G., & Tackett, K. (2011). A synthesis of read-aloud interventions on early reading outcomes among preschool through third graders at risk for reading difficulties. Journal of Learning Disabilities, 44(3), 258-275. https://doi.org/10.1177/0022219410378444
- Tachie, S. A. (2020). Teachers’ attitudes towards lesson study as a viable strategy to improve the teaching and learning of mathematics. Universal Journal of Educational Research, 8(6), 2326-2334. https://doi.org/10.13189/ujer.2020.080616
- Takeuchi, H., Taki, Y., Hashizume, H., Asano, K., Asano, M., Sassa, Y., Yokota, S., Kotozaki, Y., Nouchi, R., & Kawashima, R. (2016). Impact of videogame play on the brain’s microstructural properties: Cross-sectional and longitudinal analyses. Molecular Psychiatry, 21(12), 1781-1789. https://doi.org/10.1038/mp.2015.193
- Tan, C. K. (2012). Effects of the application of graphing calculator on students’ probability achievement. Computers & Education, 58(4), 1117-1126. https://doi.org/10.1016/j.compedu.2011.11.023
- Teahen, R. J. (2015). Exploring visualisation as a strategy for improving year 4 & 5 student achievement on mathematics word problems [PhD thesis, University of Wellington].
- Tindale, R. S., Talbot, M., & Martinez, R. (2012). Decision making. In Group processes (pp. 165-192). Psychology Press.
- Tiwari, S., Shah, B., & Muthiah, A. (2024). A global overview of SVA—Spatial-visual ability. Applied System Innovation, 7(3), Article 48. https://doi.org/10.3390/asi7030048
- van Garderen, D., Scheuermann, A., & Poch, A. (2014). Challenges students identified with a learning disability and as high-achieving experience when using diagrams as a visualization tool to solve mathematics word problems. ZDM Mathematics Education, 46, 135-149. https://doi.org/10.1007/s11858-013-0519-1
- van Hiele, P. M. (1957). The child’s thought and geometry. Classics in mathematics education research. National Council of Teachers of Mathematics.
- van Hiele, P. M. (1959). The child’s thought and geometry. In D. Fuys, D. Geddes, & R. Tischler (Eds.), English translation of selected writings of Dina van Hiele-Geldof and Pierre M. van Hiele (pp. 243-252). National Science Foundation.
- Verschaffel, L., Schukajlow, S., Star, J., & Van Dooren, W. (2020). Word problems in mathematics education: A survey. ZDM Mathematics Education, 52, 1-16. https://doi.org/10.1007/s11858-020-01130-4
- Volk, M., Cotič, M., Zajc, M., & Starcic, A. I. (2017). Tablet-based cross-curricular maths vs. traditional maths classroom practice for higher-order learning outcomes. Computers & Education, 114, 1-23. https://doi.org/10.1016/j.compedu.2017.06.004
- Wang, H. (2016). From mathematics to philosophy (Routledge revivals). Routledge. https://doi.org/10.4324/9781315542164
- Warger, C. (2018). Use visualization strategies to help students solve math word problems. Exceptional Innovations.
- West African Examinations Council (WAEC). (2018). Summary of candidates’ performance in Biology (Kwara State). WAEC Office.
- West African Examinations Council (WAEC). (2023). Chief examiner’s report. WAEC.
- West African Examinations Council (WAEC). (2024). Chief examiners’ reports (2019 to 2023). WAEC e-Learning. Retrieved October 16, 2024, from https://www.waeconline.org.ng/e-learning/Biology/Biomain.html
- Wijaya, A., van den Heuvel-Panhuizen, M., & Doorman, M. (2015). Opportunity-to-learn context-based tasks provided by mathematics textbooks. Educational Studies in Mathematics, 89, 41-65. https://doi.org/10.1007/s10649-015-9595-1
- Winn, W. (1991). Learning from maps and diagrams. Educational Psychology Review, 3, 211-247. https://doi.org/10.1007/BF01320077
- Wiryawan, K. G., Marianeni, S., & Sriasih, M. (2014). Probiotics or mixed herbs as alternatives to antibiotics for meat chicken. In Proceedings of the 16th AAAP Animal Science Congress.
- Wright, V., & Smith, K. (2017). Children’s schemes for anticipating the validity of nets for solids. Mathematics Education Research Journal, 29(3), 369-394. https://doi.org/10.1007/s13394-017-0219-1
- Yilmaz, R., & Argun, Z. (2018). Role of visualization in mathematical abstraction: The case of congruence concept. International Journal of Education in Mathematics, Science and Technology, 6(1), 41-57. https://doi.org/10.18404/ijemst.328337
- Yin, L. (2010). Integrating 3D visualization and GIS in planning education. Journal of Geography in Higher Education, 34(3), 419-438. https://doi.org/10.1080/03098260903556030
- Zahn-Waxler, C., Klimes-Dougan, B., & Kendziora, K. T. (1998). The study of emotion socialization: Conceptual, methodological, and developmental considerations. Psychological Inquiry, 9(4), 313-316. https://doi.org/10.1207/s15327965pli0904_16
- Zhao, N., Teng, X., Li, W., Li, Y., Wang, S., Wen, H., & Yi, M. (2019). A path model for metacognition and its relation to problem-solving strategies and achievement for different tasks. ZDM Mathematics Education, 51, 641 653. https://doi.org/10.1007/s11858-019-01067-3
- Zimmermann, W., & Cunningham, S. (1991). Editor’s introduction: What is mathematical visualization. Visualization in Teaching and Learning Mathematics, 1(8).
- Zulu, M. W., & Mudaly, V. (2023). Unveiling problem-solving strategies of pre-service mathematics teachers: A visual and discursive exploration. Eurasia Journal of Mathematics, Science and Technology Education, 19(7), Article em2299. https://doi.org/10.29333/ejmste/13344
How to cite this article
APA
Hlongwana, P., Mudaly, V., & Zulu, M. W. (2026). Visualization, language, and problem-solving: A review of research on multilingual learners in geometry. Eurasia Journal of Mathematics, Science and Technology Education, 22(7), em2863. https://doi.org/10.29333/ejmste/18792
Vancouver
Hlongwana P, Mudaly V, Zulu MW. Visualization, language, and problem-solving: A review of research on multilingual learners in geometry. EURASIA J Math Sci Tech Ed. 2026;22(7):em2863. https://doi.org/10.29333/ejmste/18792
AMA
Hlongwana P, Mudaly V, Zulu MW. Visualization, language, and problem-solving: A review of research on multilingual learners in geometry. EURASIA J Math Sci Tech Ed. 2026;22(7), em2863. https://doi.org/10.29333/ejmste/18792
Chicago
Hlongwana, Phumlani, Vimolan Mudaly, and Mzwandile Wiseman Zulu. "Visualization, language, and problem-solving: A review of research on multilingual learners in geometry". Eurasia Journal of Mathematics, Science and Technology Education 2026 22 no. 7 (2026): em2863. https://doi.org/10.29333/ejmste/18792
Harvard
Hlongwana, P., Mudaly, V., and Zulu, M. W. (2026). Visualization, language, and problem-solving: A review of research on multilingual learners in geometry. Eurasia Journal of Mathematics, Science and Technology Education, 22(7), em2863. https://doi.org/10.29333/ejmste/18792
MLA
Hlongwana, Phumlani et al. "Visualization, language, and problem-solving: A review of research on multilingual learners in geometry". Eurasia Journal of Mathematics, Science and Technology Education, vol. 22, no. 7, 2026, em2863. https://doi.org/10.29333/ejmste/18792