From Play to Mathematical Discourse: Transforming Multiplication Learning Through GASING Card Games and Deep Learning
DOI:
https://doi.org/10.31849/md2xxm19Keywords:
GASING method Teacher empowerment Pedagogical competence Professional development Disadvantaged areasAbstract
Mathematics becomes meaningful when children can explain, represent, and apply numerical relationships rather than merely reproduce procedures. Yet elementary instruction often remains teacher-centred, while previous GASING and game-based studies have commonly relied on small samples, single-school settings, digital media, or single pretest–posttest comparisons that cannot distinguish sustained change from ordinary fluctuation. This study examined an integrated model of pedagogical deep learning operationalised through GASING (Gampang, Asyik, dan Menyenangkan; Easy, Enjoyable, and Fun) and a physical mathematics card game to strengthen fourth-grade students’ multiplication problem-solving ability. A quantitative quasi-experimental interrupted time-series design involved 132 students from six elementary schools in Banyuwangi Regency. Three pre-intervention and three post-intervention measurements were administered using a context-based problem-solving test, supported by implementation-fidelity observations. Data were analysed using descriptive statistics, segmented regression, paired and non-parametric comparisons, normalized gain, and Cohen’s d. Results revealed a stable baseline (M = 21.34–23.95) followed by an immediate and sustained increase after the intervention (M = 74.54–81.52). Segmented regression identified a large level change (β₂ = 46.83, p < .001), while the overall normalized gain was high (g = 0.71), the effect size was very large (d = 2.93), and implementation fidelity reached 90.5%. Improvements occurred across all six schools. These findings show that structured physical play can deepen conceptual learning, mathematical discourse, collaboration, and reflection. The study offers an accessible, low-cost, and methodologically robust model for improving numeracy and advancing learner-centred mathematics reform within and beyond the Merdeka Curriculum.
References
Barroso, C., Ganley, C. M., McGraw, A. L., Geer, E. A., Hart, S. A., & Daucourt, M. C. (2021). A meta-analysis of the relation between math anxiety and math achievement. Psychological Bulletin, 147(2), 134–168. https://doi.org/10.1037/bul0000307
Beltrán-Pellicer, P., & Alsina, Á. (2022). La competencia matemática en el currículo español de educación primaria. Márgenes, Revista de Educación de la Universidad de Málaga, 3(2), 31–58. https://doi.org/10.24310/mgnmar.v3i2.14693
Bernal, J. L., Cummins, S., & Gasparrini, A. (2017). Interrupted time series regression for the evaluation of public health interventions. International Journal of Epidemiology, 46(1), 348–355. https://doi.org/10.1093/ije/dyw098
Bertram, L. (2020). Digital learning games for mathematics and computer science education: The need for preregistered RCTs, standardized methodology, and advanced technology. Frontiers in Psychology, 11, Article 2127. https://doi.org/10.3389/fpsyg.2020.02127
Björklund, C., Ekdahl, A.-L., & Runesson Kempe, U. (2021). Implementing a structural approach in preschool number activities: Principles of an intervention program reflected in learning. Mathematical Thinking and Learning, 23(1), 72–94. https://doi.org/10.1080/10986065.2020.1756027
Brezovszky, B., McMullen, J., Veermans, K., Hannula-Sormunen, M. M., Rodríguez-Aflecht, G., Pongsakdi, N., Laakkonen, E., & Lehtinen, E. (2019). Effects of a mathematics game-based learning environment on primary school students’ adaptive number knowledge. Computers & Education, 128, 63–74. https://doi.org/10.1016/j.compedu.2018.09.011
Byun, J., & Joung, E. (2018). Digital game-based learning for K–12 mathematics education: A meta-analysis. School Science and Mathematics, 118(3–4), 113–126. https://doi.org/10.1111/ssm.12271
Castro Hernández, J. (2022). El estado de la alfabetización matemática: Análisis desde las producciones y las subjetividades. Revista Venezolana de Investigación en Educación Matemática, 2(3), Article e202210. https://doi.org/10.54541/reviem.v2i3.31
Chen, P., Hwang, G.-J., Yeh, S.-Y., & Chen, Y.-T. (2022). Three decades of game-based learning in science and mathematics education: An integrated bibliometric analysis and systematic review. Journal of Computers in Education, 9, 455–476. https://doi.org/10.1007/s40692-021-00210-y
Coronata, C., & Alsina, Á. (2012). Hacia la alfabetización numérica en educación infantil: Algunos avances en Chile y España. Edma 0-6: Educación Matemática en la Infancia, 1(2), 42–56. https://doi.org/10.24197/edmain.2.2012.42-56
Debrenti, E. (2024). Game-based learning experiences in primary mathematics education. Frontiers in Education, 9, Article 1331312. https://doi.org/10.3389/feduc.2024.1331312
Díaz, L. M., & Careaga, M. P. (2021). Análisis acerca de la resolución de problemas matemáticos en contexto: Estado del arte y reflexiones prospectivas. Espacios, 42(1), 131–145. https://doi.org/10.48082/espacios-a21v42n01p11
Ezeamuzie, N. O. (2023). Abstractive-based programming approach to computational thinking: Discover, extract, create, and assemble. Journal of Educational Computing Research, 61(3), 605–638. https://doi.org/10.1177/07356331221134423
Feriyanto, F., & Anjariyah, D. (2024). Deep learning approach through meaningful, mindful, and joyful learning: A library research. Electronic Journal of Education, Social Economics and Technology, 5(2), 96–103. https://doi.org/10.33122/ejeset.v5i2.321
Fernandes, J. F., Brandão, T., Almeida, S. M., & Santana, P. (2023). An educational game to teach children about air quality using augmented reality and tangible interaction with sensors. International Journal of Environmental Research and Public Health, 20(5), Article 3814. https://doi.org/10.3390/ijerph20053814
Fullan, M., Quinn, J., & McEachen, J. (2018). Deep learning: Engage the world change the world. Corwin.
https://doi.org/10.4135/9781506368603
Fyfe, E. R., & Nathan, M. J. (2019). Making “concreteness fading” more concrete as a theory of instruction for promoting transfer. Educational Review, 71(4), 403–422. https://doi.org/10.1080/00131911.2018.1424116
Gui, Y., Cai, Z., Yang, Y., Kong, L., Fan, X., & Tai, R. H. (2023). Effectiveness of digital educational game and game design in STEM learning: A meta-analytic review. International Journal of STEM Education, 10, Article 36. https://doi.org/10.1186/s40594-023-00424-9
Hattie, J. (2023). Visible learning: The sequel — A synthesis of over 2,100 meta-analyses relating to achievement. Routledge. https://doi.org/10.4324/9781003380542
Hawes, Z., Merkley, R., Stager, C. L., & Ansari, D. (2021). Integrating numerical cognition research and mathematics education to strengthen the teaching and learning of early number. British Journal of Educational Psychology, 91(4), 1073–1109. https://doi.org/10.1111/bjep.12421
Hayati, Z., Satriani, N., Raharti, N., & Hijriati. (2024). GASING mathematics instruction for enhancing problem-solving skills in elementary school students. Genderang Asa: Journal of Primary Education, 5(2), 25–36. https://doi.org/10.47766/jga.v5i2.3484
Hayden, S. M., Kearney, K., & Gubbins, E. J. (2024). Teachers’ perceptions of mathematical discourse. Journal of Advanced Academics, 35(4), 576–612. https://doi.org/10.1177/1932202X241236381
Hidayat, R., Qi, T. Y., Ariffin, P. N. B. T., Hadzri, M. H. B. M., Chin, L. M., Ning, J. L. X., & Nasir, N. (2024). Online game-based learning in mathematics education among Generation Z: A systematic review. International Electronic Journal of Mathematics Education, 19(1), Article em0763. https://doi.org/10.29333/iejme/14024
Higgins, J., & Parsons, R. (2021). Instructional coaches’ framing of a mathematics reform. International Journal of Mentoring and Coaching in Education, 10(4), 435–448. https://doi.org/10.1108/IJMCE-01-2021-0013
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 in Psychology, 14, Article 1105806. https://doi.org/10.3389/fpsyg.2023.1105806
Hulse, T., Daigle, M., Manzo, D., Braith, L., Harrison, A., & Ottmar, E. (2019). From here to there! Elementary: A game-based approach to developing number sense and early algebraic understanding. Educational Technology Research and Development, 67(2), 423–441. https://doi.org/10.1007/s11423-019-09653-8
Hussein, M. H., Ow, S. H., Elaish, M. M., & Jensen, E. O. (2022). Digital game-based learning in K-12 mathematics education: A systematic literature review. Education and Information Technologies, 27(2), 2859–2891. https://doi.org/10.1007/s10639-021-10721-x
Kacmaz, G., & Dubé, A. K. (2022). Examining pedagogical approaches and types of mathematics knowledge in educational games: A meta-analysis and critical review. Educational Research Review, 35, Article 100428. https://doi.org/10.1016/j.edurev.2021.100428
Kaya, S., & Yildiz, N. G. (2024). Using the concrete–representational–abstract sequence to teach math skills to a student with autism spectrum disorder in a general education classroom. International Journal of Developmental Disabilities, 70(8), 1398–1409. https://doi.org/10.1080/20473869.2023.2180539
Kim, H. (2020). Concreteness fading strategy: A promising and sustainable instructional model in mathematics classrooms. Sustainability, 12(6), 2211. https://doi.org/10.3390/su12062211
Kim, H., & Clasing-Manquian, P. (2023). Quasi-experimental methods: Principles and application in higher education research. In J. Huisman & M. Tight (Eds.), Theory and method in higher education research (Vol. 9, pp. 43–62). Emerald Publishing. https://doi.org/10.1108/S2056-375220230000009003
Kokkonen, T., & Schalk, L. (2021). One instructional sequence fits all? A conceptual analysis of the applicability of concreteness fading in mathematics, physics, chemistry, and biology education. Educational Psychology Review, 33(3), 797–821. https://doi.org/10.1007/s10648-020-09581-7
Loibl, K., Roll, I., & Rummel, N. (2017). Towards a theory of when and how problem solving followed by instruction supports learning. Educational Psychology Review, 29(4), 693–715. https://doi.org/10.1007/s10648-016-9379-x
Mandhasari, Z. R., & Rofiki, I. (2026). Bridging mathematics anxiety and SDGs: A systematic literature review on strategies for achieving quality education and lifelong learning. Journal of Physics: Conference Series, 3276(1), Article 012022. https://doi.org/10.1088/1742-6596/3276/1/012022
Nand, K., Baghaei, N., Casey, J., Barmada, B., Mehdipour, F., & Liang, H. N. (2019). Engaging children with educational content via gamification. Smart Learning Environments, 6, Article 6. https://doi.org/10.1186/s40561-019-0085-2
National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics.
OECD. (2023). PISA 2022 results (Volume I): The state of learning and equity in education. OECD Publishing. https://doi.org/10.1787/53f23881-en
Ojo, A., Oginni, O. G., Akinrinola, O. E., & Oginni, R. I. (2023). Impact of cognitive-behavioral intervention on alleviating depression and anxiety in mathematics: Enhancing students’ learning experience and academic performance. Voice of the Publisher, 9(4), 257–271. https://doi.org/10.4236/vp.2023.94020
Panis, I. C., Setyosari, P., Kuswandi, D., & Yuliati, L. (2020). Design gamification models in higher education: A study in Indonesia. International Journal of Emerging Technologies in Learning (iJET), 15(12), 244–255. https://doi.org/10.3991/ijet.v15i12.13965
Pereira, L. A., Leão, L. L. dos S., Dermeval, D., & Coelho, J. A. P. de M. (2023). ECG Tutor: A gamified intelligent tutoring system for electrocardiogram teaching. Revista Brasileira de Educação Médica, 47(2), Article e080. https://doi.org/10.1590/1981-5271v47.2-2022-0332.ing
Piaget, J., & Inhelder, B. (1969). The psychology of the child (H. Weaver, Trans.). Basic Books. (Original work published 1966)
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
Polya, G. (2004). How to solve it: A new aspect of mathematical method. Princeton University Press.
Prosser, S. K., & Bismarck, S. F. (2023). Concrete–representational–abstract (CRA) instructional approach in an Algebra I inclusion class: Knowledge retention versus students' perception. Education Sciences, 13(10), 1061. https://doi.org/10.3390/educsci13101061
Rumajar, J. R., Pulukadang, R. J., & Manurung, O. (2024). Pembelajaran GASING pada materi perkalian bilangan bulat: Pengaruh dan dampaknya terhadap hasil belajar siswa. Jurnal Riset dan Inovasi Pembelajaran, 4(3), 2127–2139. https://doi.org/10.51574/jrip.v4i3.2356
Rösken-Winter, B., Stahnke, R., Prediger, S., & Gasteiger, H. (2021). Towards a research base for implementation strategies addressing mathematics teachers and facilitators. ZDM – Mathematics Education, 53(5), 1007–1019. https://doi.org/10.1007/s11858-021-01220-x
Sailer, M., & Homner, L. (2020). The gamification of learning: A meta-analysis. Educational Psychology Review, 32(1), 77–112. https://doi.org/10.1007/s10648-019-09498-w
Schaffer, A. L., Dobbins, T. A., & Pearson, S.-A. (2021). Interrupted time series analysis using autoregressive integrated moving average (ARIMA) models: A guide for evaluating large-scale health interventions. BMC Medical Research Methodology, 21, Article 58. https://doi.org/10.1186/s12874-021-01235-8
Schwerter, J., Lauermann, F., Dimpfl, T., & Bernacki, M. L. (2026). Retrieval practice in higher education: Causality and content transfer effects in a gateway math course. Journal of Educational Psychology. Advance online publication. https://doi.org/10.1037/edu0001042
Smit, R., Dober, H., Hess, K., Bachmann, P., & Birri, T. (2023). Supporting primary students’ mathematical reasoning practice: The effects of formative feedback and the mediating role of self-efficacy. Research in Mathematics Education, 25(3), 277–300. https://doi.org/10.1080/14794802.2022.2062780
Sterner, G., Wolff, U., & Helenius, O. (2020). Reasoning about representations: Effects of an early math intervention. Scandinavian Journal of Educational Research, 64(5), 782–800. https://doi.org/10.1080/00313831.2019.1600579
Su, X., & Guo, Z. (2022). An analysis of the effect of teacher’s behavior on mathematics anxiety and the role of intervention programs [Preprint]. Research Square. https://doi.org/10.21203/rs.3.rs-1849718/v1
Sun, L., Ruokamo, H., Siklander, P., Li, B., & Devlin, K. (2021). Primary school students’ perceptions of scaffolding in digital game-based learning in mathematics. Learning, Culture and Social Interaction, 28, Article 100457. https://doi.org/10.1016/j.lcsi.2020.100457
Talan, T., Doğan, Y., & Batdı, V. (2020). Efficiency of digital and non-digital educational games: A comparative meta-analysis and a meta-thematic analysis. Journal of Research on Technology in Education, 52(4), 474–514. https://doi.org/10.1080/15391523.2020.1743798
Tokac, U., Novak, E., & Thompson, C. G. (2019). Effects of game-based learning on students’ mathematics achievement: A meta-analysis. Journal of Computer Assisted Learning, 35(3), 407–420. https://doi.org/10.1111/jcal.12347
Vanbecelaere, S., Van den Berghe, K., Cornillie, F., Sasanguie, D., Reynvoet, B., & Depaepe, F. (2020). The effects of two digital educational games on cognitive and non-cognitive math and reading outcomes. Computers & Education, 143, Article 103680. https://doi.org/10.1016/j.compedu.2019.103680
Vankúš, P. (2021). Influence of game-based learning in mathematics education on students’ affective domain: A systematic review. Mathematics, 9(9), Article 986. https://doi.org/10.3390/math9090986
Vásquez Ortiz, C., Coronata Segure, C., & Rivas Catricheo, H. (2021). Enseñanza de la estadística y la probabilidad de los 4 a los 8 años de edad: Una aproximación desde los procesos matemáticos en libros de texto chilenos. PNA, 15(4), 339–365. https://doi.org/10.30827/pna.v15i4.22512
Vizcaya, L. M. F., & Rojas Velásquez, O. de J. (2024). Enseñanza de la teoría de grafos en la escuela secundaria basada en la modelación geométrica y la resolución de problemas. Contribuciones a las Ciencias Sociales, 17(1), 6378–6399. https://doi.org/10.55905/revconv.17n.1-383
Vygotsky, L. S. (1978). Mind in society: The development of higher psychological processes (M. Cole, V. John-Steiner, S. Scribner, & E. Souberman, Eds.). Harvard University Press.
Wang, J., & Guo, L. (2026). Beyond personality traits: A motivation–self-regulation model of mathematical problem-solving through self-efficacy and mathematical thinking. Frontiers in Psychology, 17, Article 1803867. https://doi.org/10.3389/fpsyg.2026.1803867
Wang, L.-H., Chen, B., Hwang, G.-J., Guan, J.-Q., & Wang, Y.-Q. (2022). Effects of digital game-based STEM education on students' learning achievement: A meta-analysis. International Journal of STEM Education, 9, 26. https://doi.org/10.1186/s40594-022-00344-0
Wei, Y., & Zhang, Y. (2025). Exploration of factors affecting Australian students’ mathematics grades: A multiple regression analysis based on PISA 2022 data. Frontiers in Psychology, 16, Article 1611350. https://doi.org/10.3389/fpsyg.2025.1611350
Weinhandl, R., Houghton, T., & Lavicza, Z. (2021). A case study on learning basic logical competencies when utilising technologies and real-world objects. Education and Information Technologies, 26(1), 639–653. https://doi.org/10.1007/s10639-020-10282-5
Wu, S. (2024). Exploring teaching methods and strategies in teaching Chinese as a second language. In Proceedings of the 3rd International Conference on Education, Language and Art (ICELA 2023) (pp. 687–693). Atlantis Press. https://doi.org/10.2991/978-2-38476-214-9_81
Yamaguchi, J. A. R. (2025). Voice to validation: An epistemic-legitimation cycle for pluriversal mathematics education. Policy Futures in Education, 23(8), 1468–1489. https://doi.org/10.1177/14782103251367219
Yang, J., Özbek, G., Liang, S., & Cho, S. (2023). Effective teaching strategies for teaching mathematics to young gifted English learners. Gifted Education International, 39(2), 226–246. https://doi.org/10.1177/02614294231165121
Yeh, C. Y. C., Cheng, H. N. H., Chen, Z. H., Liao, C. C. Y., & Chan, T. W. (2019). Enhancing achievement and interest in mathematics learning through Math-Island. Research and Practice in Technology Enhanced Learning, 14, Article 5. https://doi.org/10.1186/s41039-019-0100-9
Yu, Z., Gao, M., & Wang, L. (2021). The effect of educational games on learning outcomes, student motivation, engagement, and satisfaction. Journal of Educational Computing Research, 59(3), 522–546. https://doi.org/10.1177/0735633120969214
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