Gamified recreational exercise focused on Markov Chains
DOI:
https://doi.org/10.56294/gr2024.72Keywords:
Markov chains, recreational exercise, teaching - learning, students, gamesAbstract
The gamified recreational exercise focused on Markov Chains is an innovative methodology that combines learning with play to facilitate the understanding of statistical and mathematical concepts. Markov Chains are models that describe systems that transition between different states, where the probability of moving to a future state depends only on the current state and not on previous ones. By integrating game elements, such as challenges, rewards and competition, we seek to motivate students to actively engage in the learning process. This approach makes learning more engaging and gives participants a hands-on experience of how Markov Chains work in real situations. Exercises may include simulations, board games, or digital applications that represent scenarios where students must make decisions based on probabilities. Through gamification, teamwork and problem solving are encouraged, essential skills in today's world. The gamified recreational exercise is a favorable tool for teaching Markov Chains, it makes learning more dynamic and effective.
References
Arcagni A, Cerqueti R, Grassi R. Higher-order assortativity for directed weighted networks and Markov chains. European Journal of Operational Research. 2024;316(1):215-27. https://doi.org/10.1016/j.ejor.2024.02.031
Ardila Otero CF, Pérez Rueda LV, Ballesteros Peña MC, Torres-Barreto ML. Diseño e implementación de un ejercicio lúdico para promover el aprendizaje de la teoría de juegos. Región Científica. 2023;2(2):2023117. https://doi.org/10.58763/rc2023117
Baier C, Chatterjee K, Meggendorfer T, Piribauer J. Entropic risk for turn-based stochastic games. Information and Computation. 2024;301:105214. https://doi.org/10.1016/j.ic.2024.105214
Bilancini E, Boncinelli L, Vicario E. Memory retrieval in the demand game with a few possible splits: Unfair conventions emerge in fair settings. Journal of Economic Dynamics and Control. 2024;165:104899. https://doi.org/10.1016/j.jedc.2024.104899
Bottazzi G, Giachini D, Ottaviani M. Market selection and learning under model misspecification. Journal of Economic Dynamics and Control. 2023;156:104739. https://doi.org/10.1016/j.jedc.2023.104739
Cárdenas-Londoño LV, Bernate-Martínez JM. Marca Región Meta, una herramienta de fortalecimiento económico y turístico para el territorio llanero. Región Científica. 2024;3(2):2024287. https://doi.org/10.58763/rc2024287
Escobedo-Trujillo BA, López-Barrientos JD, Garrido J, Colorado-Garrido D, Herrera-Romero JV. Constrained stochastic differential games with Markovian switchings and additive structure: The total expected payoff. Results in Control and Optimization. 2023;12:100288. https://doi.org/10.1016/j.rico.2023.100288
Chica M, Hernández JM, Perc M. Rewarding policies in an asymmetric game for sustainable tourism. Applied Mathematics and Computation. 2023;457:128183. https://doi.org/10.1016/j.amc.2023.128183
Gómez Cano CA. Ingreso, permanencia y estrategias para el fomento de los Semilleros de Investigación en una IES de Colombia. Región Científica. 2022;1(1):20226. https://doi.org/10.58763/rc20226
Gómez-Corral A, Lopez-Herrero MJ, Taipe D. A Markovian epidemic model in a resource-limited environment. Applied Mathematics and Computation. 2023;458:128252. https://doi.org/10.1016/j.amc.2023.128252
Harris PE, Insko E, Lehner F. Tipsy cop and tipsy robber: Collisions of biased random walks on graphs. Theoretical Computer Science. 2024;997:114512. https://doi.org/10.1016/j.tcs.2024.114512
Hoßfeld T, Heegaard PE, Varela M, Jarschel M. User-centric Markov reward model for state-dependent Erlang loss systems. Performance Evaluation. 2024;165:102425. https://doi.org/10.1016/j.peva.2024.102425
Huberts NFD, Thijssen JJJ. Optimal timing of non-pharmaceutical interventions during an epidemic. European Journal of Operational Research. 2023;305(3):1366-89. https://doi.org/10.1016/j.ejor.2022.06.034
Miranda-Moreno VM, Sandoval-Obando E. La educación expandida en contextos educativos formales e informales. Región Científica. 2024;3(2):2024321. https://doi.org/10.58763/rc2024321
Imdahl C, Hoberg K, Schmidt W. Applying fixed order commitment contracts in a capacitated supply chain. European Journal of Operational Research. 2024. https://doi.org/10.1016/j.ejor.2024.08.018
Kuruoglu EE, Kuo CL, Chan WKV. Sparse neural network optimization by Simulated Annealing. Franklin Open. 2023;4:100037. https://doi.org/10.1016/j.fraope.2023.100037
Legros B, Fransoo J, Jouini O. How to optimize container withholding decisions for reuse in the hinterland? European Journal of Operational Research. 2024;316(3):930-41. https://doi.org/10.1016/j.ejor.2024.02.035
Lencastre P, Gjersdal M, Gorjão LR, Yazidi A, Lind PG. Modern AI versus century-old mathematical models: How far can we go with generative adversarial networks to reproduce stochastic processes? Physica D: Nonlinear Phenomena. 2023;453:133831. https://doi.org/10.1016/j.physd.2023.133831
Lin H-M, Wu J-Y, Liang J-C, Lee Y-H, Huang P-C, Kwok O-M, et al. A review of using multilevel modeling in e-learning research. Computers & Education. 2023;198:104762. https://doi.org/10.1016/j.compedu.2023.104762
López González YY. Aptitud digital del profesorado frente a las competencias TIC en el siglo XXI: una evaluación de su desarrollo. Región Científica. 2023;2(2):2023119. https://doi.org/10.58763/rc2023119
Majumdar R, Mallik K, Schmuck A-K, Soudjani S. Symbolic control for stochastic systems via finite parity games. Nonlinear Analysis: Hybrid Systems. 2024;51:101430. https://doi.org/10.1016/j.nahs.2023.101430
Materwala H, Ismail L, Hassanein HS. QoS-SLA-aware adaptive genetic algorithm for multi-request offloading in integrated edge-cloud computing in Internet of vehicles. Vehicular Communications. 2023;43:100654. https://doi.org/10.1016/j.vehcom.2023.100654
Miranda Larroza MM, Sanabria Zotelo ME. Estrategias didácticas en plataformas educativas: experiencia de docentes de Licenciatura en Administración en universidad pública de Paraguay. Región Científica. 2023;2(1):202330. https://doi.org/10.58763/rc202330
Sánchez V, Gómez CA. Gamification and motivation: an analysis of its impact on corporate learning. Gamification and Augmented Reality. 2024;2:26. https://doi.org/10.56294/gr202426
Rodríguez E, Gómez CA, Sánchez V. Application of gamification in work environment. Gamification and Augmented Reality. 2024;2:24. https://doi.org/10.56294/gr202424
Peñaherrera MF, Díaz IF, Dager DE, Vergara KD. The investigation of operations as an administrative tool in companies. 2020;5,5;334–349. https://www.fipcaec.com/index.php/fipcaec/article/view/328/583
Hillier F, Lieberman G. Introducción a la Investigación de Operaciones (McGraw-Hill & Interamericana Editores S.A de C.V. 2010. https://www.ptonline.com/articles/how-to-get-better-mfi-results
Probabilidad y Estadística. Diagrama de árbol | Probabilidad y Estadística. 2022. https://www.probabilidadyestadistica.net/diagrama-de-arbol/
Cardeño Portela N, Cardeño Portela EJ, Bonilla Blanchar E. TIC y transformación académica en las universidades. Región Científica. 2023;2(2):202370. https://doi.org/10.58763/rc202370
Mücke NT, Sanderse B, Bohté SM, Oosterlee CW. Markov chain generative adversarial neural networks for solving Bayesian inverse problems in physics applications. Computers & Mathematics with Applications. 2023;147:278-99. https://doi.org/10.1016/j.camwa.2023.07.028
Satsukawa K, Wada K, Iryo T. Stability analysis of a departure time choice problem with atomic vehicle models. Transportation Research Part B: Methodological. 2024:103039. https://doi.org/10.1016/j.trb.2024.103039
Schmidt M, Glaser N, Palmer H, Schmidt C, Xing W. Through the lens of artificial intelligence: A novel study of spherical video-based virtual reality usage in autism and neurotypical participants. Computers & Education: X Reality. 2023;3:100041. https://doi.org/10.1016/j.cexr.2023.100041
Ruiz Díaz de Salvioni VV. Estrategias innovadoras para un aprendizaje continuo y efectivo durante emergencias sanitarias en Ciudad del Este. Región Científica. 2023;2(1):202338. https://doi.org/10.58763/rc202338
Panayides M, Knight V, Harper P. A game theoretic model of the behavioural gaming that takes place at the EMS - ED interface. European Journal of Operational Research. 2023;305(3):1236-58. https://doi.org/10.1016/j.ejor.2022.07.001
Theodoropoulos T, Makris A, Kontopoulos I, Violos J, Tarkowski P, Ledwoń Z, et al. Graph neural networks for representing multivariate resource usage: A multiplayer mobile gaming case-study. International Journal of Information Management Data Insights. 2023;3(1):100158. https://doi.org/10.1016/j.jjimei.2023.100158
Tsionas MG. Bayesian learning in performance. Is there any? European Journal of Operational Research. 2023;311(1):263-82. https://doi.org/10.1016/j.ejor.2023.04.034
González García JC, Lozano Pineda C, Cuartas Díaz M, Torres-Barreto ML. Ejercicio lúdico gamificado enfocado en la inteligencia emocional. Región Científica. 2023;2(1):202365. https://doi.org/10.58763/rc202365
Yang Z, Gong Z, Zhang Q, Wang J. Analysis of pedestrian-related crossing behavior at intersections: A Latent Dirichlet Allocation approach. International Journal of Transportation Science and Technology. 2023;12(4):1052-63. https://doi.org/10.1016/j.ijtst.2022.12.003
Zhang W, Brandes U. Is cooperation sustained under increased mixing in evolutionary public goods games on networks? Applied Mathematics and Computation. 2023;438:127604. https://doi.org/10.1016/j.amc.2022.127604
Sarmiento García HH, Vite Alejandrez C, Cruz Vite RU, González González F. Metodología Project Management Institute en modelos educativos. Caso de estudio: Academia de Edificación del programa educativo de Ingeniería Civil de la Universidad Tecnológica de la Huasteca Hidalguense. Región Científica. 2024;3(1):2024269. https://doi.org/10.58763/rc2024269
Published
Issue
Section
License
Copyright (c) 2024 Margarita Castellanos Flórez, Paula Andrea Duarte Amado, Luisa Fernanda Moreno Galvis (Author)
This work is licensed under a Creative Commons Attribution 4.0 International License.
The article is distributed under the Creative Commons Attribution 4.0 License. Unless otherwise stated, associated published material is distributed under the same licence.