Research Article

Enhancing decimal problems solving of sixth grade students: Using the bar model technique

Bunyisa Saelo 1 * , Kannika Seemoon 2
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1 Faculty of Science and Industrial Technology, Prince of Songkla University, Surat Thani Campus, Surat Thani, THAILAND2 Vittayakarn Islam School, Krabi, THAILAND* Corresponding Author
Contemporary Mathematics and Science Education, 7(1), January 2026, ep26007, https://doi.org/10.30935/conmaths/18104
Submitted: 27 November 2024, Published: 13 March 2026
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ABSTRACT

Due to the problem of PISA test results showing mathematics scores below the average, along with teaching and learning issues where students still struggle with solving problems involving decimals then this research aims to achieve two primary objectives: (1) To compare students’ performance on decimal problems before and after implementing the bar model technique. (2) To examine the effectiveness of the bar model technique in enhancing students’ achievement in solving decimal problems, with a criterion of 70 out of 70. The sample for this study was specifically selected from a group of 29 students in the class. The students were then given a pre-test, and those who scored below 65% of the total score were selected. As a result, 15 students who struggled with solving decimal problems were identified. This research follows a mixed-methods approach, including qualitative data collection. Six students were randomly selected for interviews as the target group for qualitative analysis. The results revealed the following: (1) The post-test scores of the students were significantly higher than their pre-test scores at a significance level of 0.05. The post-test average score was 16.73, while the pre-test average score was 11.20. The discrepancy between the pre- and post-test scores was 5.53. (2) The effectiveness of the bar model technique on students’ achievement in solving decimal problems (E1 and E2) was found to be 79.77 percent and 83.65 percent, respectively, surpassing the specified threshold. Interviews with the target students indicated a clear increase in average scores. Students commented that the bar model improved their understanding of individual phrases, enabling them to analyze and represent them symbolically, leading to easier problem-solving. This research provides an alternative teaching method for mathematics. Recommendations for future research could explore the effects of the bar model on students with diverse learning styles or examine how students adapt this method across different cultural settings.

CITATION (APA)

Saelo, B., & Seemoon, K. (2026). Enhancing decimal problems solving of sixth grade students: Using the bar model technique. Contemporary Mathematics and Science Education, 7(1), ep26007. https://doi.org/10.30935/conmaths/18104

REFERENCES

  1. Abbas, M., Barnett, J., Charles, J., & Sheffield, B. (n.d.). Using double number lines and bar modelling to teach the GCSE maths curriculum based on the mastery approach. The Education Training Foundation. https://etfoundation.co.uk/media/tqnbbicd/15-leyton-key-diagrams-for-mastery-teaching.pdf
  2. Abdul Gani, M., Tengah, K. A., & Said, H. (2019). Bar model as intervention in solving word problem involving percentage. International Journal on Emerging Mathematics Education, 3(1), 69-76. https://doi.org/10.12928/ijeme.v3i1.11093
  3. Chaisongkram, S. (2019). The development of Grade 5 students’ mathematics word-problem solving ability through instruction using the Team Games Tournament (TGT) technique combined with the bar model [Master’s thesis, Silpakorn University].
  4. Hough, S., Gough, S., & Solomon, Y. (n.d.). Connecting the everyday with the formal: The role of bar models in developing low attainers’ mathematical understanding. In Proceedings of the 11th Congress of the European Society for Research in Mathematics Education.
  5. Intasung, S. (2002). Open-ended problem: Unfamiliar mathematical problem. Journal of Science Education in Mathematics and Technology, 31(121), 35–37.
  6. IPST. (2023). Announcement of PISA assessment results. OECD. https://www.oecd.org/en/publications/pisa-2022-results-volume-i_53f23881-en.html
  7. Jahudin, J., & Siew, N. M. (2023). Infusion of Polya and digital bar model: An algebraic thinking module for seventh graders. Problems of Education in the 21st Century, 81(4), 481-500. https://doi.org/10.33225/pec/23.81.481
  8. Juijit, S., Piyapimonsit, & Kasemsukpipat, W. (2022). Assessment for learning in mathematical problem solving based on the heuristic approach for grade 9 students. Journal of Educational Measurement Mahasarakham University, 28(2).
  9. Karim, F. A., & Puteh, M. (2021). The effectiveness of bar model to enhance hots in length word problems. International Journal of Academic Research in Progressive Education and Development, 10(2), 570-576. https://doi.org/10.6007/ijarped/v10-i2/10139
  10. Ketprakob, D., Intep, S., & Kaewkhao, A. (2021). A study of Grade 4 students’ ability to solve addition and subtraction word problems using Polya’s problem-solving process combined with the bar model technique. Journal of Graduate School Sakon Nakhon Rajabhat University, 18(83), 63–71.
  11. Khairiree, K. (n.d.). Augmented reality and blended learning: Engaging students learn word problems with bar model and the geometer’s sketchpad. In Proceedings of the Asian Technology Conference in Mathematics.
  12. Knuth, E. J., Alibali, M. W., McNeil, N. M., Weinberg, A., & Stephens, A. C. (2011). Middle-school students’ understanding of core algebraic concepts: Equivalence & variable. In J. Cai, & E. Knuth (Eds.), Early algebraization: A global dialogue from multiple perspectives (pp. 259-276). Springer. https://doi.org/10.1007/978-3-642-17735-4_15
  13. Kusuma, U. I., & Retnawati, H. (2019). Analysis of sixth graders’ difficulties in solving mathematics word problems on whole numbers, fractions, and decimals. Journal of Physics: Conference Series, 1320(1), Article 012008. https://doi.org/10.1088/1742-6596/1320/1/012008
  14. Lestiana, H. T., & Wanita, C. T. (2019). Bar model: A beneficial tool in learning percentage. Eduma: Mathematics Education Learning and Teaching, 8(2), 18-27. https://doi.org/10.24235/eduma.v8i2.5392
  15. Madani, N. A., Tengah, K. A., & Prahmana, R. C. I. (2018). Using bar model to solve word problems on profit, loss and discount. Journal of Physics: Conference Series, 1097, Article 012103. https://doi.org/10.1088/1742-6596/1097/1/012103
  16. Malai, C., & Prasertsang, P. (2023). Development of the constructionist concept in conjunction with the bar model for a mathematics course. Journal of Green Learning, 3(1), 46-53. https://doi.org/10.53889/jgl.v3i1.216
  17. Maputol, E. A. (2019). The use of bar models in solving mathematical problems: Its effect on academic performance. Asia Pacific Journal of Multidisciplinary Research, 7(2), 10-16.
  18. Matzin, E. S., & Mundia, L. (2017). Effective learning of mathematics by year 7 students using the bar model method: Case of Brunei students. Journal of Studies in Education, 8(1), Article 1. https://doi.org/10.5296/jse.v8i1.12177
  19. Matzin, E. S., & Mundia, L. (2020). Efficacy of the bar model method of teaching mathematics to year 7 students: Case study of teachers in Brunei Darussalam. Journal of Educational Issues, 6(1), 402-421. https://doi.org/10.5296/jei.v6i1.17154
  20. MCC@WCCUSD. (2019). Using bar models to find the fraction and percent of a number fraction of a number. StudyLib. https://studylib.net/doc/8710591
  21. Moloney, K., & Stacey, K. (1997). Changes with age in students’ conceptions of decimal notation. Mathematics Education Research Journal, 9(1), 25-38. https://doi.org/10.1007/BF03217300
  22. Morin, L. L., Watson, S. M., Hester, P., & Raver, S. (2017). The use of a bar model drawing to teach word problem solving to students with mathematics difficulties. Learning Disability Quarterly, 40(2), 91-104. https://doi.org/10.1177/0731948717690116
  23. Osman, S., Che Yang, C. N. A., Abu, M. S., Ismail, N., Jambari, H., & Kumar, J. A. (2018). Enhancing students’ mathematical problem-solving skills through bar model visualisation technique. International Electronic Journal of Mathematics Education, 13(3), 273-279. https://doi.org/10.12973/iejme/3919
  24. Pativisan, S. (2024). A mathematical problem solving process model of Thai gifted students. Academia. https://www.academia.edu/50238717/A_Mathematical_Problem_Solving_Process_Model_of_Thai_Gifted_Students
  25. Ramasamy, R., & Puteh, M. (2018). Bar model method for higher order thinking skills questions in mathematics for dual language program pupils. International Journal of Academic Research in Business and Social Sciences, 8(9), 1456-1462. https://doi.org/10.6007/ijarbss/v8-i9/4855
  26. Ratta, W. (2013). The learning effectiveness and mathematical problem-solving skills outcomes through the integration of the Expository teaching method along with the utilization of skill-enhancing exercises for 3rd-year high school students [Master’s thesis, Taksin University].
  27. Resnick, L. B., Nesher, P., Leonard, F., Magone, M., Omanson, S., & Peled, I. (1989). Conceptual bases of arithmetic errors: The case of decimal fractions. In J. Boaler (Ed.), Multiple perspectives on the teaching and learning of mathematics (pp. 83-104). Praeger. https://doi.org/10.2307/749095
  28. Sengaium, S. (2012). The development of skill-enhancing exercises for mathematical problem-solving based on the Polya’s principles and the technique of drawing bar models, focusing on addition, subtraction, multiplication, and division within the mathematical learning domains for 4th-grade elementary students was explored in this study. Naresuan University.
  29. Shah, M. N. (2022). Determining the effect of bar model technique on students’ mathematical word problem solving skills. Journal of Contemporary Teacher Education, 6(1). https://doi.org/10.58444/jcte.v6i1.734
  30. Shah, M. N., Anjum, F., Chand, S., & Tabassum, R. (2021). Enhancing mathematical word problem solving skills: Using bar model visualization technique. International Research Journal of Education and Innovation, 2(3), 119-128. https://doi.org/10.53575/irjei.v2.03(21)11.119-128
  31. Sremahaprom, N. (2006). Developing skill-based exercises on solving equation problems for the 7th grade students at Nang Rong School, Buri Ram Province [Master’s thesis, Buriram Rajabhat University].
  32. Srinonyang, K., & Seehamongkon, Y. (2023). Developing Grade 5 students’ mathematics word-problem solving ability through instruction using Polya’s problem-solving process with the bar model method. Journal of Curriculum and Instruction Sakon Nakhon Rajabhat University, 15(42), 47–55.
  33. Thiengtrong, P. (2020). Using the bar model method to solve mathematical problems. Journal on the Mathematical Association of Thailand, 65(700). https://doi.org/10.1111/j.1949-8594.1991.tb12056.x
  34. Thipkong, S., & Davis, E. (1991). Preservice elementary teachers’ misconceptions in interpreting and applying decimals. School Science and Mathematics, 91(3), 93-99.
  35. Third Space Learning. (n.d.). The ultimate guide to bar modelling. Third Space Learning. https://thirdspacelearning.com/us/blog/teach-bar-model-method/
  36. Thirunavukkarasu, M., & Senthilnathan, S. (2017). Effectiveness of bar model in teaching algebra at secondary level. International Journal of Teacher Educational Research, 6(10-12).