Exploring Mathematization Processes through Role-Playing Games

Edwin Tamayo-Martínez; Marcus Maltempi; Eva Jablonka

doi:10.5294/edu.2026.29.1.8

Autores/as

Edwin Tamayo-Martínez Autor/a Universidad de Antioquia https://orcid.org/0000-0002-1109-049X
Marcus Maltempi Autor/a Universidade Estadual Paulista (Unesp) https://orcid.org/0000-0001-5201-0348
Eva Jablonka Autor/a Freie Universität Berlin https://orcid.org/0000-0003-1019-792X

DOI:

https://doi.org/10.5294/edu.2026.29.1.8

Palabras clave:

Juegos de rol, juegos educativos, modelos matemáticos, resolución de problemas, enseñanza de las matemáticas

Resumen

La narración en los juegos de rol brinda a los jugadores la oportunidad de crear y sumergirse en mundos ficticios que pueden incluir situaciones, objetos y entornos que se asemejan a la realidad. Este estudio explora 13 trabajos de investigación que utilizaron juegos de rol para integrar procesos de matematización y la forma en que estos generan entornos de aprendizaje para la modelación matemática. El análisis se centra en las categorías deductivas e inductivas de los enunciados matemáticos, en las intervenciones de estudiantes y docentes, y en las conclusiones de las investigaciones, a fin de contribuir a la identificación de patrones, regularidades y relaciones. Dichas categorías fundamentaron los temas que surgieron a partir de tres ideas clave: 1) la mecánica, la creación y la evolución de personajes, escenarios y narrativas en los juegos de rol ofrecen diversas posibilidades para integrar procesos de matematización; 2) estos procesos pueden explicarse por la manera en que estudiantes y docentes seleccionan modelos, estrategias y procedimientos para la resolución de problemas; 3) la validación o interpretación de los resultados por parte de jugadores y docentes es crucial para lograr una progresión lógica de la narrativa.

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Citas

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