Numerical Literacy Orientation and Mathematical Problem-Solving Skills among Senior High School Students

Main Article Content

Raffy G. Alo

Abstract

While problem-solving skills are critical for academic and lifelong success, limited research explores how factors like numerical literacy orientation and sex influence these skills among senior high school students, particularly in the Philippine context. Grounded in Mathematical Cognition Theory, this study aimed to investigate the predictive power of sex and numerical literacy orientation on students' problem-solving skills. Using a correlational design, a total of 70 respondents participated in the study and employed stratified simple random sampling in the selection of the respondents. Data were collected using a contextualized instrument adapted from published international research, with face and content validity established through expert validation and pilot testing. Multiple linear regression with dummy coding for sex was used for analysis. The findings revealed a moderate level of numerical literacy orientation and a high level of problem-solving skills among students. Numerical literacy orientation was significantly related to problem-solving skills. Moreover, both sex and numerical literacy orientation significantly predict problem-solving skills, with numerical literacy orientation being the stronger predictor. Female students outperformed males in problem-solving skills. The study underscores the importance of fostering numerical literacy in curricula and addressing gender-specific learning needs to enhance problem-solving competencies.

Article Details

How to Cite
Raffy G. Alo. (2025). Numerical Literacy Orientation and Mathematical Problem-Solving Skills among Senior High School Students. Asia Pacific Journal of Educational Technologies, Psychology, and Social Sciences, 1(2), 1–15. https://doi.org/10.70847/628900
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Articles

References

Bailey, D. H., Watts, T. W., Littlefield, A. K., & Geary, D. C. (2021). State and trait predictors of mathematics achievement across the transition to middle school. Journal of Educational Psychology, 113(5), 863–876. https://doi.org/10.1037/edu0000606

Bernardo, A. B. I., Estacio, L. R., & Calleja, M. D. (2022). Parental involvement and academic achievement of Filipino students: A mediation model. Asia Pacific Journal of Education, 42(1), 123–139. https://doi.org/10.1080/02188791.2020.1859413

Boaler, J., & Williams, C. (2020). Mathematical mindsets and the importance of struggle. Mathematics Education Research Journal, 32(3), 381–398. https://doi.org/10.1007/s13394-019-00286-4

Burmeister, E., & Aitken, L. M. (2012). Sample size: How many is enough? Australian Critical Care, 25(4), 271–274. https://doi.org/10.1016/j.aucc.2012.07.002

Butterworth, B. (2005). The development of arithmetical abilities. Journal of Child Psychology and Psychiatry, 46(1), 3–18. https://doi.org/10.1111/j.1469-7610.2004.00374.x

Caballo, J. H. S., Alforque, K. G., Canales, R. D., & Lagrosas, R. F. (2024). Freshmen’s technological expertise and distance learning readiness. American Journal of Science, Technology and Society, 12(1), 23–34. https://journals.e-palli.com/home/index.php/ajsts/article/view/2423

Callejo, M. L., & Zapatera, M. F. (2022). Strategy use and mathematical problem solving: A review of current perspectives. Educational Studies in Mathematics, 109(2), 315–336. https://doi.org/10.1007/s10649-021-10065-z

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

Caviola, S., Toffalini, E., Giofrè, D., & Szűcs, D. (2021). Home numeracy and children's mathematical skills: A meta-analysis. Developmental Psychology, 57(4), 512–529. https://doi.org/10.1037/dev0001133

Chai, C. S., Deng, F., & Li, Y. (2021). The role of metacognition in mathematical problem solving: A systematic review. International Journal of STEM Education, 8(1), 1–18. https://doi.org/10.1186/s40594-021-00268-z

Creswell, J. W., & Creswell, J. D. (2018). Research design: Qualitative, quantitative, and mixed methods approaches (5th ed.). SAGE Publications.

Creswell, J. W., & Poth, C. N. (2017). Qualitative inquiry and research design: Choosing among five approaches (4th ed.). SAGE Publications.

Dubinsky, E., Dautermann, J., & Leron, U. (1999). Theoretical perspectives on mathematical learning and development. In J. Kaput & E. Dubinsky (Eds.), Research in Collegiate Mathematics Education III (pp. 1–28). American Mathematical Society.

Flore, P. C., & Wicherts, J. M. (2015). Does stereotype threat influence performance of girls in stereotyped domains? A meta-analysis. Journal of School Psychology, 53(1), 25–44. https://doi.org/10.1016/j.jsp.2014.10.002

Gunderson, E. A., Ramirez, G., Levine, S. C., & Beilock, S. L. (2021). The role of parents and teachers in the development of gender-related math attitudes. Current Directions in Psychological Science, 30(1), 29–35. https://doi.org/10.1177/0963721420979603

Hair, J. F., Black, W. C., Babin, B. J., & Anderson, R. E. (2020). Multivariate data analysis (8th ed.). Cengage Learning.

Huck, S. W. (2015). Reading statistics and research (6th ed.). Pearson Education.

Hyde, J. S. (2016). Gender similarities and differences in mathematics achievement: A meta-analysis. Psychological Bulletin, 142(4), 343–365. https://doi.org/10.1037/bul0000030

Ioannidis, J. P. A., Greenland, S., Hlatky, M. A., Khoury, M. J., Macleod, M. R., Moher, D., ... & Tibshirani, R. (2014). Increasing value and reducing waste in research design, conduct, and analysis. The Lancet, 383(9912), 166–175. https://doi.org/10.1016/S0140-6736(13)62227-8

Jonassen, D. H. (2011). Supporting problem solving in PBL. Interdisciplinary Journal of Problem-Based Learning, 5(2), 95–119. https://doi.org/10.7771/1541-5015.1256

Kim, L. E., Jeličić, H., & Shon, S. M. (2020). Academic engagement and parental involvement: A meta-analytic path model. Journal of Educational Psychology, 112(7), 1341–1356. https://doi.org/10.1037/edu0000424

Lester, F. K., & Cai, J. (2016). Can mathematical problem-solving be taught? Preliminary answers from 30 years of research. Journal for Research in Mathematics Education, 47(2), 118–127. https://doi.org/10.5951/jresematheduc.47.2.0118

Master, A., Meltzoff, A. N., & Cheryan, S. (2021). Gender stereotypes about interests start early and cause gender disparities in computer science and engineering. PNAS, 118(48). https://doi.org/10.1073/pnas.2100030118

Medina, M. A., Capuno, R. M., & Roxas, R. E. O. (2019). Problem-solving skills and academic performance: The mediating role of math self-efficacy. Asia Pacific Journal of Multidisciplinary Research, 7(1), 45–52.

OECD. (2023). PISA 2022 results (Volume I): The state of learning and equity in education. OECD Publishing. https://doi.org/10.1787/43b9b9fd-en

Phonapichat, P., Wongwanich, S., & Sujiva, S. (2020). An analysis of elementary school students’ difficulties in mathematical problem-solving. Educational Research and Reviews, 15(2), 67–75. https://doi.org/10.5897/ERR2019.3877

Polya, G. (2020). How to solve it: A new aspect of mathematical method. Princeton University Press. (Original work published 1945)

Sapungan, G. M., & Sapungan, R. M. (2014). Parental involvement in child’s education: Importance, barriers and benefits. Asian Journal of Management Sciences & Education, 3(2), 42–48.

Schleicher, A. (2020). The impact of COVID-19 on education: Insights from education at a glance 2020. OECD. https://www.oecd.org/education/the-impact-of-covid-19-on-education-insights-education-at-a-glance-2020.pdf

Shumway, J. F., Perry, K. D., & McBride, J. L. (2020). Developing early numeracy: Focusing on number relationships. Mathematics Teacher: Learning and Teaching PK–12, 113(3), 200–209. https://doi.org/10.5951/MTLT.113.3.0200

Siregar, H., Simanjuntak, R. A., & Sinaga, B. (2018). Functional thinking profile of junior high school students in solving mathematical problems observed by differences of sex. Journal of Physics: Conference Series, 1008, 012074. https://doi.org/10.1088/1742-6596/1008/1/012074

Skwarchuk, S. L., Sowinski, C., & LeFevre, J. A. (2014). Formal and informal home learning activities in relation to children's early numeracy and literacy skills. Journal of Experimental Child Psychology, 121, 63–84. https://doi.org/10.1016/j.jecp.2013.11.006

Stoet, G., & Geary, D. C. (2022). The gender-equality paradox in STEM education. Psychological Science, 33(1), 19–34. https://doi.org/10.1177/09567976211060445

Tan, M. M. (2018). Filipino students’ mathematical problem-solving strategies: Insights and challenges. Philippine Journal of Science and Mathematics Education, 3(1), 44–56.

Tavakol, M., & Dennick, R. (2011). Making sense of Cronbach's alpha. International Journal of Medical Education, 2, 53–55. https://doi.org/10.5116/ijme.4dfb.8dfd

UNESCO. (2021). Education and the digital revolution: Ensuring equitable access and learning in a post-COVID world. https://unesdoc.unesco.org/ark:/48223/pf0000377849

UNICEF Philippines. (2021). Parental involvement in education in the Philippines: Impacts and interventions. https://www.unicef.org/philippines

Zhu, X. (2007). Gender differences in mathematics problem solving patterns: A study of Chinese high school students. Mathematics Education Research Journal, 19(3), 20–29. https://doi.org/10.1007/BF03217480

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