Comparing the Compassion-Based GASING Method and CPA Approach on Addition Learning Outcomes of Fourth-Grade Elementary Students

Jeni Kada Saripi, Tita Mulyati, Rendi Restiana Sukardi

Abstract


Low mathematics learning outcomes among elementary school students remain a persistent challenge in Indonesia, particularly in regions characterized by diverse socio-cultural backgrounds and limited instructional resources. This study investigated the comparative effectiveness of the compassion-integrated GASING method and the Concrete Pictorial Abstract (CPA) approach in enhancing mathematics achievement among fourth-grade elementary students in Nabire Regency, Papua. A quasi-experimental nonequivalent control group design was employed, with 125 students from six elementary schools comprising the analyzed sample, of whom 59 were assigned to the experimental group receiving the compassion-integrated GASING method and 66 to the control group receiving the CPA approach. Data were collected through a 20-item multiple-choice mathematics achievement test covering addition operations, validated through Pearson correlation analysis and demonstrating high reliability (Cronbach's Alpha = 0.871). The enactment of the compassion-integrated GASING method was assessed through structured observation checklists completed by classroom teachers at each session, yielding a mean implementation fidelity of 99.19%, compared to 97.22% for the CPA approach, with both classified as Very Good. Inferential analysis proceeded in two stages. The Wilcoxon Signed-Rank test revealed statistically significant within-group gains in both the experimental group (Z = -6.689, p < .001, r = 0.871) and the control group (Z = -7.017, p < .001, r = 0.864), with both effect sizes classified as large. The Mann-Whitney U test subsequently indicated no statistically significant between-group difference in posttest outcomes (U = 1826.000, Z = -0.601, p = .548, r = 0.054). These findings confirm that both approaches produced comparably equivalent and practically significant gains in mathematics learning outcomes. The high fidelity of compassion-based instruction observed across all sessions provides empirical support for the consistent enactment of the affective dimension of the intervention, though its direct impact on students' emotional outcomes warrants further investigation using validated affective instruments. These findings suggest that teachers in diverse and underserved elementary settings may confidently adopt either approach, with the compassion-integrated GASING method offering additional promise as a contextually responsive instructional model.

Keywords


CPA; Compassion; Elementary education; GASING; Mathematics learning outcomes

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Aprilia, R., & Royanto, L. R. M. (2020). Does metacognition matter in the relationship between mathematics interest and mathematics anxiety? Ilkogretim Online, 19(4), 2396–2407. https://doi.org/10.17051/ilkonline.2020.764416

Carbonneau, K. J., Kestner, K., & Leahy, K. (2020). Learning mathematics with manipulatives: A meta-analytic review. Educational Psychology Review, 32(2), 485–514. https://doi.org/10.1007/s10648-019-09501-7

Cohen, J. (1988). Statistical power analysis for the behavioral sciences (2nd ed.). Lawrence Erlbaum Associates.

Creswell, J. W., & Creswell, J. D. (2018). Research Design: Qualitative, Quantitative, and Mixed Methods Approaches (5th ed.). Sage Publications.

Ding, M., Mochaourab, R., & Spiro, B. (2024). Promoting teaching improvement in elementary mathematics: A case with inverse relations. ECNU Review of Education, 3(2), 143–173. https://doi.org/10.1177/27527263241256678

Field, A. (2018). Discovering statistics using IBM SPSS statistics (5th ed.). Sage Publications.

Fyfe, E. R., Nathan, M. J., & Alibali, M. W. (2022). Rethinking the concreteness fading framework: Evidence from learning mathematics. Educational Psychology Review, 34(2), 1011–1038. https://doi.org/10.1007/s10648-021-09638-4

Henschel, S., & Roick, T. (2017). Relationships of mathematics performance, control and value beliefs with cognitive and affective math anxiety. Learning and Individual Differences, 55, 97–107. https://doi.org/10.1016/j.lindif.2017.03.009

Hiller, S. E., Kitsantas, A., Cheema, J. E., & Poulou, M. (2022). Mathematics anxiety and self-efficacy as predictors of mathematics literacy. International Journal of Mathematical Education in Science and Technology, 53(8), 2133–2151.

https://doi.org/10.1080/0020739X.2020.1868589

Huan, C., Meng, C. C., & Suseelan, M. (2022). Mathematics learning from concrete to abstract (1968--2021): A bibliometric analysis. Participatory Educational Research, 9(4), 445–468. https://doi.org/10.17275/per.22.99.9.4

Iyamuremye, E., & Burns, D. (2025). Concrete-pictorial-abstract instruction: Enhancing students’ learning motivation and achievement in mathematics. Cogent Education, 12(1), 2558303. https://doi.org/10.1080/2331186X.2025.2558303

Jennings, P. A., & Greenberg, M. T. (2018). The prosocial classroom: Teacher social and emotional competence in relation to student and classroom outcomes. Review of Educational Research, 79(1), 491–525. https://doi.org/10.3102/0034654308325693

Kim, H.-J. (2020). Concreteness fading strategy: A promising and sustainable instructional model in mathematics classrooms. Sustainability, 12(6), 2211. https://doi.org/10.3390/su12062211

Kusuma, J., & Sulistiawati. (2014). Teaching multiplication of numbers from 1 to 10 to {stkip} surya students using matematika {gasing}. Journal on Mathematics Education, 5(1), 66–84.

Leppma, M., & Darrah, M. (2024). Self-efficacy, mindfulness, and self-compassion as predictors of math anxiety in undergraduate students. International Journal of Mathematical Education in Science and Technology, 55(4), 883–898.

https://doi.org/10.1080/0020739X.2022.2054740

Li, H., Zhang, M., Hou, S., Huang, B., Xu, C., Li, Z., & Si, J. (2023). Examining the dynamic links among perceived teacher support, mathematics learning engagement, and dimensions of mathematics anxiety in elementary school students: A four-wave longitudinal study. Contemporary Educational Psychology, 75, 102211.

https://doi.org/10.1016/j.cedpsych.2023.102211

Listiani, T., Wutsqa, D. U., Hernawati, K., Saragih, M. J., Soesanto, R. H., Martha, K., Dirgantoro, K. P. S., Setyaningrum, W., & Retnawati, H. (2025). Analysis of learning obstacles in grade 1 elementary mathematics using the concrete-pictorial-abstract (CPA) approach. Multidisciplinary Science Journal, 8(4). https://doi.org/10.31893/multiscience.2026226

Liu, Y., Nam, B. H., & Yang, Y. (2024). Revisiting symbolic power and elite language education in China: a critical narrative ethnography of the English education major at a top language university in Shanghai. Educational Review, 76(6), 1498–1524. https://doi.org/10.1080/00131911.2023.2184774

McCoy, C. E. (2017). Understanding the intention-to-treat principle in randomized controlled trials. Western Journal of Emergency Medicine, 18(6), 1075–1078. https://doi.org/10.5811/westjem.2017.8.35985

Meng, R., Yeo, A., Ding, M., & Alibali, M. W. (2023). Linking representations of equality in first-grade mathematics lessons in China. Educational Studies in Mathematics. https://doi.org/10.1007/s10671-023-09334-7

Nubatonic, A. B. M., Sulistiawati, Muktyas, I. B., Murnaka, N. P., & Arifin, S. (2023). Description of gasing mathematics learning online on improving students’ cognitive learning outcomes. AIP Conference Proceedings. https://doi.org/10.1063/5.0154658

OECD. (2023). PISA 2022 Results: The State of Learning and Equity in Education. https://www.oecd.org/pisa/

Quintero, M., Hasty, L., Li, T., Song, S., & Wang, Z. (2022). A multidimensional examination of math anxiety and engagement on math achievement. British Journal of Educational Psychology, 92(3), 955–973. https://doi.org/10.1111/bjep.12482

Radiusman, R., Juniati, D., & Khabibah, S. (2025). The effect of mathematical anxiety on the performance of fifth-grade elementary school students in performing fraction operations. Mathematics in Education, 14(2), 15–27. https://doi.org/10.13164/ma.2025.14202

Salingay, N. R. R., & Tan, D. A. (2018). Concrete-pictorial-abstract approach on students’ attitude and performance in mathematics. International Journal of Scientific and Technology Research, 7(5), 90–111.

Suren, N., & Ali Kandemir, M. (2020). The effects of mathematics anxiety and motivation on students’ mathematics achievement. International Journal of Education in Mathematics, Science and Technology, 8(3), 190–218. https://doi.org/10.46328/IJEMST.V8I3.926

Švecová, V. (2024). Math anxiety and its relation to the success of mathematical problems. TEM Journal, 13(1), 207–212. https://doi.org/10.18421/TEM131-21

Taber, K. S. (2018). The use of Cronbach’s alpha when developing and reporting research instruments in science education. Research in Science Education, 48(6), 1273–1296. https://doi.org/10.1007/s11165-016-9602-2

Wang, X.-F., Perry, L. B., Malpique, A., & Ide, T. (2023). Factors predicting mathematics achievement in {PISA}: A systematic review. Large-Scale Assessments in Education, 11(1), 24. https://doi.org/10.1186/s40536-023-00174-8

Wangid, M. N., Rudyanto, H. E., & Gunartati. (2020). The use of AR-assisted storybook to reduce mathematical anxiety on elementary school students. International Journal of Interactive Mobile Technologies, 14(6), 195–204. https://doi.org/10.3991/IJIM.V14I06.12285

Widjaja, W., Dolk, M., & Fauzan, A. (2020). Design research in mathematics education: Indonesian perspective. Journal on Mathematics Education, 11(1), 1–16. https://doi.org/10.22342/jme.11.1.8696.1-16

Yuliyanto, A., & Turmudi. (2020). Study based on the early mathematical ability of elementary student self-efficacy through the concrete-pictorial-abstract approach. Universal Journal of Educational Research, 8(11), 5901–5912. https://doi.org/10.13189/ujer.2020.082224

Yurniwati, Hartanti, P., & Jacquiline, S. (2022). Comparing virtual and concrete manipulative on 5th-grade students in fraction performance. AIP Conference Proceedings, 2479, 20025. https://doi.org/10.1063/5.0099569




DOI: https://doi.org/10.20527/jmscedu.v6i1.18588

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