Calculating Measures of Position with the Aid of Technology-Driven Problem-Based Learning in Mathematics

Authors

  • Melou Jean Liwan Munguia National High School Author

DOI:

https://doi.org/10.5281/zenodo.20401891

Keywords:

measures of position, technology-driven problem-based learning, quartiles, deciles, percentiles, mathematics competency

Abstract

This study determined the effectiveness of Technology-Driven Problem-Based Learning (TDPBL) in enhancing Grade 10 learners’ competency in calculating measures of position in Mathematics. It focused on quartiles, deciles, and percentiles among learners at Munguia National High School, Dupax del Norte, Nueva Vizcaya. The study was conducted to address learners’ low performance in the Data and Probability, particularly in arranging data, locating positional values, applying correct procedures, and interpreting statistical results. TDPBL was used as an intervention because it combines real-life problem situations, guided inquiry, and teacher-made mobile-based video lessons that learners can review at their own pace.The study employed a one-group quasi-experimental design and pretest-posttest evaluations. Thirty-three Grade 10 learners were selected through cluster sampling and total enumeration after the reviewing the Rapid Mathematics Assessment results. A validated 30-item teacher-made test served as the pretest and posttest instrument. The instrument yielded a KR-20 reliability coefficient of 0.72, which indicated acceptable internal consistency. Data were analyzed using mean, standard deviation, and paired sample t-test at the 0.05 level of significance.Results showed that the learners’ pretest mean score of 11.15 increased to 19.36 after exposure to TDPBL. Although the overall competency level remained under Did Not Meet Expectations, the increase showed clear improvement in learners’ performance. The difference between the pretest and posttest scores was statistically significant, with a computed t-value of -11.44 and a p-value below 0.05. The findings indicate that TDPBL significantly improved learners’ competency in calculating measures of position. However, continued guided practice remains necessary, especially in deciles, percentiles, procedural accuracy, and interpretation of results.

References

American Statistical Association. (2020). Guidelines for assessment and instruction in statistics education (GAISE) report II: A pre-K-12 curriculum framework. https://www.amstat.org/asa/files/pdfs/GAISE/GAISEIIPreK-12_Full.pdf

Batanero, C., & Borovcnik, M. (Eds.). (2016). Statistics and probability in high school. Springer. https://doi.org/10.1007/978-94-6300-624-8

Ben-Zvi, D., & Garfield, J. (2018). Statistical literacy, reasoning, and thinking: Goals, definitions, and challenges. In D. Ben-Zvi, K. Makar, & J. Garfield (Eds.), International handbook of research in statistics education (pp. 3-17). Springer. https://doi.org/10.1007/978-3-319-66195-7_1

Bright, A., Welcome, N. B., & Arthur, Y. D. (2024). The effect of using technology in teaching and learning mathematics on student’s mathematics performance: The mediation effect of students’ mathematics interest. Journal of Mathematics and Science Teacher, 4(2), em059. https://doi.org/10.29333/mathsciteacher/14309

Capraro, R. M., & Slough, S. W. (2016). Why PBL? Why STEM? Why now? An introduction to STEM project-based learning. In R. M. Capraro, M. M. Capraro, & J. R. Morgan (Eds.), STEM project-based learning: An integrated science, technology, engineering, and mathematics approach (2nd ed., pp. 1-5). Sense Publishers. https://link.springer.com/chapter/10.1007/978-94-6209-143-6_1

Chaphalkar, R., & Wu, K. (2020). Students’ reasoning about variability in graphs during an introductory statistics course. International Electronic Journal of Mathematics Education, 15(2), em0580. https://doi.org/10.29333/iejme/7602

Department of Education. (2016). K to 12 curriculum guide in mathematics (Grade 10). DepEd. https://www.deped.gov.ph/wp-content/uploads/2019/01/Math-CG_with-tagged-math-equipment.pdf

Department of Education. (2022). Basic education monitoring and evaluation report. DepEd. https://www.deped.gov.ph/wp-content/uploads/2022/06/DO_s2022_029-corrected-copy.pdf

Hwang, G.-J., Lai, C.-L., & Wang, S.-Y. (2015). Seamless flipped learning: A mobile technology-enhanced flipped classroom with effective learning strategies. Journal of Computers in Education, 2(4), 449-473. https://doi.org/10.1007/s40692-015-0043-0

Koparan, T. (2019). Examination of the dynamic software-supported learning environment in data analysis. International Journal of Mathematical Education in Science and Technology, 50(2), 277-291. https://doi.org/10.1080/0020739X.2018.1494861

Organisation for Economic Co-operation and Development. (2023). PISA 2022 results (Volume I): The state of learning and equity in education. OECD Publishing. https://doi.org/10.1787/53f23881-en

Polya, G. (1957). How to solve it: A new aspect of mathematical method (2nd ed.). Princeton University Press. https://www.hlevkin.com/hlevkin/90MathPhysBioBooks/Math/Polya/George_Polya_How_To_Solve_It_.pdf

Suparman, Juandi, D., Martadiputra, B. A. P., Badawi, A., Susanti, N., & Yunita. (2022). Cultivating secondary school students’ mathematical critical thinking skills using technology-assisted problem-based learning: A meta-analysis. AIP Conference Proceedings, 2468(1), 070006. https://doi.org/10.1063/5.0102422

Sung, Y.-T., Chang, K.-E., & Liu, T.-C. (2016). The effects of integrating mobile devices with teaching and learning on students’ learning performance: A meta-analysis and research synthesis. Computers & Education, 94, 252-275. https://doi.org/10.1016/j.compedu.2015.11.008

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

Ulya, H., Sugiman, Rosnawati, R., & Retnawati, H. (2024). Technology-based learning interventions on mathematical problem-solving: A meta-analysis of research in Indonesia. International Journal of Evaluation and Research in Education, 13(1), 292-301. https://doi.org/10.11591/ijere.v13i1.26380

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Published

2026-05-27

How to Cite

Calculating Measures of Position with the Aid of Technology-Driven Problem-Based Learning in Mathematics. (2026). The International Review of Multidisciplinary Research, 1(6), 193-198. https://doi.org/10.5281/zenodo.20401891

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