Readability Open-Ended Problems: Effects on the Learners’ Achievement Level of the Grade 7 Learners on Sets
(1) Department of Science and Mathematics Education, Mindanao State University – Iligan Institute of Technology, Iligan City, Philippines
(2) Department of Science and Mathematics Education, Mindanao State University – Iligan Institute of Technology, Iligan City, Philippines
(3) Department of Education, Tangub City National High School, Tangub City, Philippines
(*) Corresponding Author
Abstract
This study investigated readability-based open-ended problems’ effectiveness in improving Grade 7 learners’ Mathematics achievement level on Sets. Employing a quasi-experimental pretest-posttest nonequivalent groups design, two intact classes were compared: an experimental group (n=10) exposed to readability-based open-ended problems and a control group (n=10) using conventional word problems. The open-ended problems were contextually realistic, calibrated to Grade 7 via Flesch-Kincaid Readability Test, and allowed multiple correct answers to accommodate diverse abilities. Pretests, posttests, and interviews assessed performance and perceptions. Results revealed significant improvement in the experimental group, with most learners reaching proficient and advanced levels, whereas the control group had fewer advanced achievers. Nonparametric statistical tests confirmed significant differences favoring the experimental group. Qualitative findings indicated increased confidence and engagement, particularly among low-performing learners. The study concludes that integrating readability-based open-ended problems fosters enhanced understanding and problem-solving skills and recommends blending them with conventional problems for a fuller problem-solving repertoire.
Keywords
References
Andrade, C. (2021). The limitations of quasi-experimental studies, and methods for data analysis when a quasi-experimental research design is unavoidable. Indian journal of psychological medicine, 43(5), 451-452. https://doi.org/10.1177/0253717621103470
Arisujati, N.W. (2020). The Influence of Inquiry Learning Method Aided by Open Ended Worksheet Towards Quantitative Reasoning and Self-Esteem. Journal of Physics: Conference Series 1503 012009. https://doi.org/10.1088/1742-6596/1503/1/012009
Astari, T., Hasibuan, V., & Abdullah, D. (2018). Difference effect of the open ended approach and realistic approach on the ability of problem solving student elementary school. Journal of Physics: Conference Series 1114, 012047. https://doi.org/10.1088/1742-6596/1114/1/012047
Becker, J. P., & Shimada, S. (1997). The Open-Ended Approach: A New Proposal for Teaching Mathematics. National Council of Teachers of Mathematics.
Cahill, J., & Bostic, J. (2025). Influence of Language on Multilingual middle Grades learners’ Mathematical Problem-Solving Outcomes. Journal of Urban Mathematics Education, 17(2), 11–42. https://doi.org/10.21423/jume-v17i2a563
Chang, Y. H., & Su, Y. F. (2023). Differences in cognitive processes of mathematics low achievers with and without low reading abilities when solving word problems. Contemporary Educational Research Quarterly, 31(1), 41-73. https://doi.org/10.6151/CERQ.202303_31(1).0002
Cohen, L., Manion, L., & Morrison, K. (2002). Research methods in education. routledge.
Creswell, J. W., & Creswell, J. D. (2017). Research design: Qualitative, quantitative, and mixed methods approaches. Sage publications.
Crossley, S., Heintz, A., Choi, J. S., Batchelor, J., Karimi, M., & Malatinszky, A. (2023). A large-scaled corpus for assessing text readability. Behavior Research Methods, 55(2), 491-507. https://doi.org/10.3758/s13428-022-01802-x
Department of Education. (2013). Mathematics 7: Learner's Material. Department of Education, Republic of the Philippines. https://lrmds.deped.gov.ph/detail/5326
Department of Education. (2016). K to 12 Curriculum Guide: Mathematics. Department of Education, Republic of the Philippines. Retrieved at http://depedbohol.org/v2/wp-content/uploads/2016/03/Math-CG_with-tagged-math-equipment.pdf
Department of Education. (2020). Most Essential Learning Competencies (MELCs). Department of Education, Republic of the Philippines. https://lrmds.deped.gov.ph/detail/18275
Heliawati, L., Afakillah, I., & Pursitasari, I. (2021). Creative Problem-Solving Learning through Open-Ended Experiment for Students' Understanding and Scientific Work Using Online Learning. International Journal of Instruction 14 (4), 321-336. https://doi.org/10.29333/iji.2021.14419a
Intaros, P., Inprasitha, M., Srisawadi N. (2014). Students’ problem solving strategies in problem solving - mathematics classroom. Procedia – Social and Behavioral Sciences 116, 4119-4123. https://doi.org/10.1016/j.sbspro.2014.01.901
Kincaid, J. P., Fishburne Jr, R. P., Rogers, R. L., & Chissom, B. S. (1975). Derivation of new readability formulas (automated readability index, fog count and flesch reading ease formula) for navy enlisted personnel. Chief of Naval Technical Training, Naval Air Station Memphis,
Krawec, J., Huang, J., Montague, M., Kressler, B., & Alba, A.M. (2012). The effects of cognitive strategy instruction on knowledge of math problem-solving processes of middle school students with learning disabilities. Learning Disability Quarterly 36(2), 80-92. https://doi.org/10.1177/0731948712463368
Managing, R. (2019). Problem solving models: Effects on the problem solving skills among grade 8 learners. Mindanao State University – Iligan Institute of Technology (MSU-IIT). Iligan City. An Unpublished Thesis.
Mangarin, R. A., & Caballes, D. O. (2024). Difficulties in Learning Mathematics: A Systematic review. International Journal of Research and Scientific Innovation, XI(IX), 401–405. https://doi.org/10.51244/ijrsi.2024.1109037
Mohamed, R., Ghazali, M., & Samsudin, M. A. (2020). A systematic review on mathematical language learning using PRISMA in Scopus database. Eurasia Journal of Mathematics, Science and Technology Education, 16(8), em1868. https://doi.org/10.29333/ejmste/8300
New Jersey Department of Education. (2008). New Jersey Assessment of Skills and Knowledge (NJ ASK): Holistic scoring rubric for open-ended mathematics items. New Jersey Department of Education. https://original.burltwpsch.org/uploads/450/files/NJ%20ASK%206-8%20Parent%20Student%20Teacher%20Guide%20%202012.pdf
OECD. (2023). PISA 2022 Results (Volume I): The State of Learning and Equity in Education. Paris: OECD Publishing. https://doi.org/10.1787/53f23881-en
Overton, T., Potter, N., & Leng, C. (2013). A study of approaches to solving open-ended problems in chemistry. Chem. Educ. Res. Pract., 14(4), 468–475. https://doi.org/10.1039/c3rp00028a
Özcan, Z. Ç., & Gümüş, A. E. (2019). A modeling study to explain mathematical problem-solving performance through metacognition, self-efficacy, motivation, and anxiety. Australian Journal of Education, 63(1), 116–134. https://doi.org/10.1177/0004944119840073
Öztürk, M., Akkan, Y., & Kaplan, A. (2019). Reading comprehension, mathematics self-efficacy perception, and mathematics attitude as correlates of students’ non-routine mathematics problem-solving skills in Turkey. International Journal of Mathematical Education in Science and Technology. https://doi.org/10.1080/0020739X.2019.1648893
Patel, N., Nagpal, P., Shah, T., Sharma, A., Malvi, S., & Lomas, D. (2023). Improving mathematics assessment readability: Do large language models help?. Journal of Computer Assisted Learning, 39(3), 804-822. https://doi.org/10.1111/jcal.12776
Peng, P., Lin, X., Ünal, Z. E., Lee, K., Namkung, J., Chow, J., & Sales, A. (2020). Examining the mutual relations between language and mathematics: A meta-analysis. Psychological Bulletin, 146(7), 595. https://doi.org/10.1037/bul0000231
Planas, N., & Pimm, D. (2024). Mathematics education research on language and on communication including some distinctions: Where are we now?. ZDM–Mathematics Education, 56(1), 127-139. https://doi.org/10.1007/s11858-023-01497-0
Planas, N., McKinley, J., Smith, K., Ingram, J., Essien, A. A., & Moore, E. (2025). Students’ Linguistic Challenges when Learning Mathematics: Voices of Teachers from Seven Countries. African Journal of Research in Mathematics Science and Technology Education, 29(2), 239–251. https://doi.org/10.1080/18117295.2025.2494292
Pongsakdi, N., Kajamies, A., Veermans, K., Lertola, K., Vauras, M., & Lehtinen, E. (2020). What makes mathematical word problem solving challenging? Exploring the roles of word problem characteristics, text comprehension, and arithmetic skills. ZDM Mathematics Education, 52(1), 33-44.https://doi.org/10.1007/s11858-019-01118-9
Sanz, M. T., López-Iñesta, E., Garcia-Costa, D., & Grimaldo, F. (2020). Measuring arithmetic word problem complexity through reading comprehension and learning analytics. Mathematics, 8(9), 1556. https://doi.org/10.3390/math8091556
Solter Jr, G. J. (2010). A criterion-related validity study of the grade eight assessment and the high school proficiency assessment in mathematics for a B District Factor Group school in New Jersey. Seton Hall University.
Sun, R. (2023). The effect of mathematics anxiety on math performance. Lecture Notes in Education Psychology and Public Media, 15(1), 133–139. https://doi.org/10.54254/2753-7048/15/20231045
Tambychik, T., & Meerah, S.M. (2010). Student’s difficulties in mathematics problem-solving: What do they say?. Procedia Social and Behavioral Sciences, 8, (142-151). https://doi.org/10.1016/j.sbspro.2010.12.020
Unlu, F., Lauen, D. L., Fuller, S. C., Berglund, T., & Estrera, E. (2021). Can Quasi‐Experimental Evaluations That Rely On State Longitudinal Data Systems Replicate Experimental Results?. Journal of Policy Analysis and Management, 40(2), 572-613. https://doi.org/10.1002/pam.22295
Woranetsudathip, N., Yuenyong, C., & Nguyen, T. (2021). The innovative lesson study for enhancing students’ mathematical ideas about addition and subtraction through open approach. Journal of Physics Conference Series 1 (1835). https://doi.org/10.1088/1742-6596/1835/1/012061
DOI: http://dx.doi.org/10.30738/indomath.v0i0.193
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