Exploring Mathematization Processes through Role-Playing Games
DOI:
https://doi.org/10.5294/edu.2026.29.1.8Keywords:
Role-playing, educational games, mathematical models, problem-solving, mathematics educationAbstract
Storytelling in role-playing games offers players the opportunity to create and immerse themselves in fictitious worlds. These worlds might include situations, objects, and environments that resemble reality. This study explores how 13 research works that utilized role-playing games to integrate mathematization processes provide learning environments for mathematical modeling. The analysis focuses on the deductive and inductive categories of mathematical statements, student and teacher interventions, and the research conclusions, contributing to the identification of patterns, regularities, and relations. These categories formed the basis for themes revealed by three insights: first, the mechanics, creation, and evolution of characters, scenarios, and narratives in role-playing games offer various possibilities for integrating mathematization processes; second, these processes can be explained by how students and teachers select the models, strategies, and procedures for problem- solving; third, the validation or interpretation of results by players and teachers is crucial for achieving a logical progression of the narrative.
Downloads
References
Albino, H. H. (2020). Gênios do Cálculo RPG: Uma ferramenta para o ensino de matemática [Master’s thesis, Universidade Federal de Juiz de Fora]. https://repositorio.ufscar.br/handle/ufscar/13620?show=full
Azevedo, K. de L. (2017). Jogo de tabuleiro com elementos de RPG “aventura de um livro mágico”: contribuições para a educação matemática [Master’s thesis, Universidade Federal de Pernambuco]. https://repositorio.ufpe.br/handle/123456789/25198
Bernier, J., & Zandieh, M. (2024). Comparing student strategies in a game-based and pen-and-paper task for linear algebra. The Journal of Mathematical Behavior, 73, 1-16. https://doi.org/10.1016/j.jmathb.2023.101105
Bernstein, B. (1999). Vertical and horizontal discourse: An essay. British Journal of Sociology of Education, 20(2), 157-173. https://doi.org/10.1080/01425699995380
Bressan, R. (2014). RPG como estratégia no ensino das operações elementares em matemática [Master’s thesis, Universidade Cruzeiro do Sul]. https://ptdocz.com/doc/1339335/artigo-completo---universidad
Bright, G. W., Harvey, J. G., & Wheeler, M. M. (1985). Learning and mathematics games. Journal for Research in Mathematics Education. Monograph, 1, i. https://doi.org/10.2307/749987
Çakıroğlu, Ü., Güler, M., Dündar, M., & Coşkun, F. (2023). Virtual Reality in Realistic Mathematics Education to Develop Mathematical Literacy Skills. International Journal of Human-Computer Interaction, 1-13. https://doi.org/10.1080/10447318.2023.2219960
Cano, N. A. (2014). Juegos de rol y análisis de modelos: El contexto del puente de la madre Laura Montoya Upegui [Master’s thesis, Universidad Nacional de Colombia]. https://repositorio.unal.edu.co/handle/unal/51912
Da Silva, F. Q. (2014). Usando RPG no ensino da matemática [Master’s thesis, Universidade Federal de Juiz de Fora]. https://repositorio.ufjf.br/jspui/handle/ufjf/746
Dalla Vecchia, R., & Maltempi, M. V. (2014). O Modelo na Modelagem Matemática na Realidade do Mundo Cibernético. Acta Scientiae, 16(4), 199-213. http://www.periodicos.ulbra.br/index.php/acta/article/view/1271
Dan, N. N., Trung, L. T., Nga, N. T., & Dung, T. M. (2024). Digital game-based learning in mathematics education at primary school level: A systematic literature review. Eurasia Journal of Mathematics, Science and Technology Education, 20(4), em2423. https://doi.org/10.29333/ejmste/14377
Devlin, K. (2011). Mathematics Education for a New Era: Video Games as a Medium for Learning. A. K. Peters. https://doi.org/10.1201/b10816
Dowling, P. (1998). The sociology of mathematics education: Mathematical myths/pedagogical texts. Falmer Press.
Ernest, P. (1986). Games. A Rationale for Their Use in the Teaching of Mathematics in School. Mathematics in School, 15(1), 2-5. https://doi.org/10.1093/teamat/5.3.97
Feijó, R. O. (2014). O uso de role playing games como recurso pedagógico nas aulas de matemática [Master’s thesis, Universidade Federal de Rio Grande do Sul]. https://lume.ufrgs.br/handle/10183/108424
Freudenthal, H. (2002). Revisiting Mathematics Education (Vol. 9). Kluwer Academic Publishers. https://doi.org/10.1007/0-306-47202-3
Gallego, A., Gallego, R., & Pérez, R. (2006). ¿Qué versión de ciencia se enseña en el aula? Sobre los modelos científicos y la didáctica de la modelación. Educación y Educadores, 9(1), 105-116. https://educacionyeducadores.unisabana.edu.co/index.php/eye/article/view/650
Gee, J. P. (2004). What video games have to teach us about learning and literacy (1st ed.). Palgrave Macmillan. https://doi.org/10.1145/950566.950595
Gellert, U., & Jablonka, E. (2009). “I am not talking about reality”: Word problems and the intricacies of producing legitimate text. In L. Verschaffel, B. Greer, W. van Dooren, & S. Mukhopadhyay (Orgs.), Words and worlds: Modelling verbal descriptions of situations (pp. 39-53). Brill. https://doi.org/10.1163/9789087909383_004
Gerofsky, S. (2009). Genre, simulacra, impossible exchange, and the real: How postmodern theory problematises word problems. In L. Verschaffel, B. Greer, W. van Dooren, & S. Mukhopadhyay (Orgs.), Words and worlds: Modelling verbal descriptions of situations (pp. 21-38). Brill. https://doi.org/10.1163/9789087909383_003
Gros, B. (2000). La dimensión socioeducativa de los videojuegos. Edutec. Revista Electrónica de Tecnología Educativa, 12. https://doi.org/10.21556/edutec.2000.12.557
Habgood, M. P. J., & Ainsworth, S. E. (2011). Motivating Children to Learn Effectively: Exploring the Value of Intrinsic Integration in Educational Games. Journal of the Learning Sciences, 20(2), 169-206. https://doi.org/10.1080/10508406.2010.508029
Hammer, J., Beltrán, W., Walton, J., & Turkington, M. (2018). Power and control in role-playing games. In J. P. Zagal & S. Deterding (Orgs.), Role-playing game studies: transmedia foundations (pp. 448-467). Routledge. https://doi.org/10.4324/9781315637532-27
Honorio, B. G. (2015). Observar com sentido: um experimento com estudantes de licenciatura em matemática envolvendo a utilização do RPG [Master’s thesis, Universidade Luterana do Brasil]. http://www.ppgecim.ulbra.br/teses/index.php/ppgecim/article/view/220/212
Hui, H. B., & Mahmud, M. S. (2023). Influence of game-based learning in mathematics education on the students’ cognitive and affective domain: A systematic review. Frontiers of Psychology, 14,1105806. https://doi.org/10.3389/fpsyg.2023.1105806
Ishibashi, I., & Uegatani, Y. (2022). Cultural relevance of validation during mathematical modeling and word problem-solving: Reconceptualizing validation as an integration of possible fictional worlds. The Journal of Mathematical Behavior, 66, 1-19. https://doi.org/10.1016/j.jmathb.2022.100934
Jablonka, E. (1996). Meta-analyse von zugänger zur mathematischen modellbildung und konsequenzen für den unterricht [Doctoral dissertation, Technischen Universität Berlin]. https://doi.org/10.1007/BF03338842
Jablonka, E., & Gellert, U. (2007). Mathematisation - Demathematisation. In E. Jablonka & U. Gellert (Orgs.), Mathematisation and Demathematisation: Social, Philosophical and Educational Ramifications (pp. 1-18). Sense Publishers. https://doi.org/10.1163/9789460911439_002
Jablonka, E., & Gellert, U. (2011). Equity Concerns About Mathematical Modelling. In B. Atweh, M. Graven, W. Secada, & P. Valero (Orgs.), Mapping Equity and Quality in Mathematics Education (pp. 223-236). Springer Netherlands. https://doi.org/10.1007/978-90-481-9803-0_16
Kaiser, G. (2020). Mathematical Modelling and Applications in Education. In S. Lerman, B. Sriraman, E. Jablonka, Y. Shimizu, M. Artigue, R. Even, & M. Graven (Orgs.), Encyclopedia of Mathematics Education (pp. 553-561). Springer International Publishing. https://doi.org/10.1007/978-3-030-15789-0_101
Kaiser, G., & Sriraman, B. (2006). A global survey of international perspectives on modelling in mathematics education. ZDM, 38(3), 302-310. https://doi.org/10.1007/BF02652813
Karimov, A., Saarela, M., & Kärkkäinen, T. (2024). Serious games in science and mathematics education: a scoping umbrella review. International Journal of Serious Games, 11(4). https://doi.org/10.17083/ijsg.v11i3.765
Leitão, L. N. P. (2020). Role-playing game (RPG) na aprendizagem das quatro operações aritméticas: uma interlocução winnicottiana [Bachelor’s thesis, Universidade Federal da Paraíba]. https://repositorio.ufpb.br/jspui/handle/123456789/17951?locale=pt_BR
Machado, S. R. A., Coqueiro, V. dos S., & Hermann, W. (2013). Os desafios de se ensinar matemática por meio de jogos de interpretação de personagem em sextos anos do ensino fundamental de uma escola da rede pública. Revista NUPEM, 5(8). https://doi.org/10.33871/nupem.v5i8.193
Marins, P. N. de. (2020). O RPG de mesa como estratégia para o ensino de matemática: Alguns exemplos de uso. Revista Mais Dados, 10(1), 18-30.
Mayring, P. (2000). Qualitative content analysis. Forum Qualitative Social Research Forum: Qualitative Social Research, 1(2). https://www.researchgate.net/publication/215666096_Qualitative_Content_Analysis
McFeetors, P. J., & Palfy, K. (2018). Educative experiences in a games context: Supporting emerging reasoning in elementary school mathematics. The Journal of Mathematical Behavior, 50, 103-125. https://doi.org/10.1016/j.jmathb.2018.02.003
Mousoulides, N., & Sriraman, B. (2020). Mathematical Games in Learning and Teaching. In Encyclopedia of Mathematics Education (pp. 538-540). Springer International Publishing. https://doi.org/10.1007/978-3-030-15789-0_97
Muniz, C. A. (2021a). Bases conceituais: conceito de jogo como fonte de aprendizagem matemática. In C. A. Muniz (Org.), Aprendizagem matemática em jogo (pp. 14-24). Rede pedagógica.
Muniz, C. A. (2021b). Educação lúdica da matemática, educação matemática lúdica. In C. A. Muniz (Org.), Aprendizagem matemática em jogo (pp. 316-337). Rede Pedagógica.
Nishizawa, H, & Yoshioka, T. (2008). A proposal to teach 3d vector operations in a role-playing game. In Proceedings of the 13th Asian Technology Conference in Mathematics (ATCM 2008) (pp. 364-369). Bangkok, Thailand. https://atcm.mathandtech.org/ep2008/papers_full/2412008_15294.pdf
Niss, M., & Blum, W. (2020). The learning and teaching of mathematical modelling. Routledge. https://doi.org/10.4324/9781315189314
Nunokawa, K. (2005). Mathematical problem solving and learning mathematics: What we expect students to obtain. The Journal of Mathematical Behavior, 24(3-4), 325-340. https://doi.org/10.1016/j.jmathb.2005.09.002
Rosa, M. (2004). Role Playing Game Eletrônico: uma tecnologia lúdica para aprender e ensinar matemática [Master’s thesis, Universidade Estadual Paulista]. http://hdl.handle.net/11449/91089
Rudich, C. M. (2021). Rol, ¿literatura?: la estructura de las narraciones en los juegos de rol. Lanzando los dados: aproximaciones (pp. 254-262). Universidad Iberoamericana Ciudad de México.
Santos, C. (2011). RPG Geo Moodle: Modelagem dos dados de múltiplas fases [Master’s thesis, SENAI/CIMATEC]. http://repositoriosenaiba.fieb.org.br/handle/fieb/725
Schrier, K., Torner, E., & Hammer, J. (2018). Worldbuilding in role-playing games. In J. P. Zagal & S. Deterding (Orgs.), Role-playing game studies: transmedia foundations (pp. 349-363). Routledge. https://doi.org/10.4324/9781315637532-20
Shiakalli, M. A., & Zacharos, K. (2014). Building meaning through problem solving practices: the case of four-year olds. The Journal of Mathematical Behavior, 35, 58-73. https://doi.org/10.1016/j.jmathb.2014.05.001
Smith, C., & Morgan, C. (2016). Curricular orientations to real-world contexts in mathematics. The Curriculum Journal, 27(1), 24-45. https://doi.org/10.1080/09585176.2016.1139498
Sobral, P. M. (2018). Role playing game (rpg) como método avaliativo no processo de ensino e aprendizagem de saberes matemáticos de forma lúdica [Master’s thesis, Universidade Federal de Pernambuco]. https://repositorio.ufpe.br/handle/123456789/38893
Stillman, G. A. (2019). State of the Art on Modelling in Mathematics Education—Lines of Inquiry. In G. A. Stillman & J. P. Brown (Orgs.), Lines of Inquiry in Mathematical Modelling Research in Education (pp. 1-20). Springer International Publishing. https://doi.org/10.1007/978-3-030-14931-4_1
Tamayo, E., & Maltempi, M. (2023a). Entre juego como actividad libre y juego serio: articulación de contenidos matemáticos a un juego de rol. Paradigma, 44(3), 334-353. https://doi.org/10.37618/PARADIGMA.1011-2251.2023.p334-353.id1454
Tamayo, E., & Maltempi, M. (2023b). RPG (role-playing games) na educação matemática. Anais do Encontro Paulista de Educação Matemática. www.even3.com.br/ebook/xv-epem-encontro-paulista-de-educacao-matematica-294768/616382-RPGS-(ROLE-PLAYING-GAMES)-NA-EDUCACAO-MATEMATICA
Tamayo-Martínez, E. (2025). El libro de Morfeo: experiências de aprendizagem mediada em um role-playing game matemático [Doctoral dissertation, Universidade Estadual Paulista (Unesp)]. https://hdl.handle.net/11449/259872
Van den Heuvel-Panhuizen, M., & Drijvers, P. (2020). Realistic Mathematics Education. In S. Lerman, B. Sriraman, E. Jablonka, Y. Shimizu, M. Artigue, R. Even, & M. Graven (Orgs.), Encyclopedia of Mathematics Education (pp. 713-717). Springer International Publishing. https://doi.org/10.1007/978-3-030-15789-0_170
Verschaffel, L., Greer, B., van Dooren, W., & Mukhopadhyay, S. (Orgs.). (2009). Words and worlds: Modelling verbal descriptions of situations. Brill. https://doi.org/10.1163/9789087909383
Wagner, D. (2011). Warm Bodies Using Cold Mathematics. Antistasis, 1(2), 7-9. https://journals.lib.unb.ca/index.php/antistasis/article/view/18521
Zagal, J., & Deterding, S. (2018). Definitions of “Role-Playing Games.” In J. Zagal & S. Deterding (Orgs.), Role-playing game studies: transmedia foundations (pp. 19-51). Routledge. https://doi.org/10.4324/9781315637532
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2026 Edwin Tamayo-Martínez, Marcus Maltempi, Eva Jablonka

This work is licensed under a Creative Commons Attribution 4.0 International License.
1. Proposed Policy for Journals That Offer Open Access
Authors who publish with this journal agree to the following terms:
-
This journal and its papers are published with the Creative Commons License CC BY 4.0 DEED Atribución 4.0 Internacional. You are free to share copy and redistribute the material in any medium or format if you: give appropriate credit, provide a link to the license, and indicate if changes were made; don’t use our material for commercial purposes; don’t remix, transform, or build upon the material.
Funding data
-
Coordenação de Aperfeiçoamento de Pessoal de Nível Superior
Grant numbers 001



