Enhancing Elementary School Students' Understanding of Fraction Concepts through Fraction Tower Challenge Game
DOI:
https://doi.org/10.26740/jrpd.v11n3.p297-312Keywords:
Classroom Action Research, Conceptual Understanding, Elementary Mathematics Education, Fraction Concepts, Game-Based LearningAbstract
Conceptual understanding of fractions is a key competency in elementary mathematics, yet many students rely on memorized procedures that do not support flexible reasoning. This study aimed to improve third-grade students’ conceptual understanding of fractions through the Fraction Tower Challenge, a non-digital game that uses wooden fraction blocks. The study also described how students’ mastery changed across two cycles that differed in grouping structure, with collaborative groups in Cycle 1 and individual activity in Cycle 2. A Classroom Action Research design with two cycles was used, and each cycle consisted of planning, implementation, observation, and reflection. The participants were 18 third-grade students in a public elementary school. Data were collected through pre-tests and post-tests consisting of three essay questions, classroom observations, and documentation, and were analyzed descriptively. In Cycle 1, the proportion of students showing full understanding increased from 0% at the pre-test to 89% at the post-test. In Cycle 2, this proportion increased from 44% to 83%. No student remained in the insufficient understanding category after either cycle. The gain in Cycle 2 was smaller than in Cycle 1, and the proportion of students showing full understanding at the Cycle 2 pre-test was lower than at the Cycle 1 post-test. These results indicate that the Fraction Tower Challenge was associated with improved conceptual understanding in this small classroom. The absence of a comparison group limits causal interpretation. The game can be considered a concrete and visual supplement to fraction instruction in the early primary grades.
References
Carbonneau, K. J., Marley, S. C., & Selig, J. P. (2013). A meta-analysis of the efficacy of teaching mathematics with concrete manipulatives. Journal of Educational Psychology, 105(2), 380–400. https://doi.org/10.1037/a0031084
Clark, D. B., Tanner-Smith, E. E., & Killingsworth, S. S. (2016). Digital games, design, and learning: A systematic review and meta-analysis. Review of Educational Research, 86(1), 79–122. https://doi.org/10.3102/0034654315582065
Dowker, A., Sarkar, A., & Looi, C. Y. (2016). Mathematics anxiety: What have we learned in 60 years? Frontiers in Psychology, 7, Article 508. https://doi.org/10.3389/fpsyg.2016.00508
Fyfe, E. R., McNeil, N. M., Son, J. Y., & Goldstone, R. L. (2014). Concreteness fading in mathematics and science instruction: A systematic review. Educational Psychology Review, 26(1), 9–25. https://doi.org/10.1007/s10648-014-9249-3
Gabriel, F., Coché, F., Szucs, D., Carette, V., Rey, B., & Content, A. (2013). A componential view of children’s difficulties in learning fractions. Frontiers in Psychology, 4, Article 715. https://doi.org/10.3389/fpsyg.2013.00715
Gupta, A. (2008). Constructivism and peer collaboration in elementary mathematics education: The connection to epistemology. Eurasia Journal of Mathematics, Science and Technology Education, 4(4), 381–386. https://doi.org/10.12973/ejmste/75364
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
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
Jarrah, A. M., Almassri, H., Johnson, J. D., & Wardat, Y. (2022). Assessing the impact of digital games-based learning on students’ performance in learning fractions using (ABACUS) software application. Eurasia Journal of Mathematics, Science and Technology Education, 18(10), Article em2159. https://doi.org/10.29333/ejmste/12421
Jarrah, A. M., Wardat, Y., & Gningue, S. (2022). Misconception on addition and subtraction of fractions in seventh-grade middle school students. Eurasia Journal of Mathematics, Science and Technology Education, 18(6), Article em2115. https://doi.org/10.29333/ejmste/12070
Kyndt, E., Raes, E., Lismont, B., Timmers, F., Cascallar, E., & Dochy, F. (2013). A meta-analysis of the effects of face-to-face cooperative learning: Do recent studies falsify or verify earlier findings? Educational Research Review, 10, 133–149. https://doi.org/10.1016/j.edurev.2013.02.002
Manfra, M. M. (2019). Action research and systematic, intentional change in teaching practice. Review of Research in Education, 43(1), 163–196. https://doi.org/10.3102/0091732X18821132
Ninaus, M., Kiili, K., McMullen, J., & Moeller, K. (2017). Assessing fraction knowledge by a digital game. Computers in Human Behavior, 70, 197–206. https://doi.org/10.1016/j.chb.2017.01.004
Siegler, R. S., Duncan, G. J., Davis-Kean, P. E., Duckworth, K., Claessens, A., Engel, M., Susperreguy, M. I., & Chen, M. (2012). Early predictors of high school mathematics achievement. Psychological Science, 23(7), 691–697. https://doi.org/10.1177/0956797612440101
Siegler, R. S., & Pyke, A. A. (2013). Developmental and individual differences in understanding of fractions. Developmental Psychology, 49(10), 1994–2004. https://doi.org/10.1037/a0031200
Siegler, R. S., Thompson, C. A., & Schneider, M. (2011). An integrated theory of whole number and fractions development. Cognitive Psychology, 62(4), 273–296. https://doi.org/10.1016/j.cogpsych.2011.03.001
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
Torbeyns, J., Schneider, M., Xin, Z., & Siegler, R. S. (2015). Bridging the gap: Fraction understanding is central to mathematics achievement in students from three different continents. Learning and Instruction, 37, 5–13. https://doi.org/10.1016/j.learninstruc.2014.03.002
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(1), 1–13. https://doi.org/10.1186/s40594-022-00344-0
Wijaya, A. (2017). The relationships between Indonesian fourth graders’ difficulties in fractions and the opportunity to learn fractions: A snapshot of TIMSS results. International Journal of Instruction, 10(4), 221–236. https://doi.org/10.12973/iji.2017.10413a
Wouters, P., van Nimwegen, C., van Oostendorp, H., & van der Spek, E. D. (2013). A meta-analysis of the cognitive and motivational effects of serious games. Journal of Educational Psychology, 105(2), 249–265. https://doi.org/10.1037/a0031311
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2025 Jurnal Review Pendidikan Dasar : Jurnal Kajian Pendidikan dan Hasil Penelitian

This work is licensed under a Creative Commons Attribution 4.0 International License.
Abstract views: 146
,
PDF Downloads: 118







