Mathematical Problem-Solving Beliefs and Metacognitive Awareness: The Moderating Effect of Mathematical Curiosity
DOI:
https://doi.org/10.54536/ajmri.v4i5.5114Keywords:
Davao City, Mathematical Curiosity, Mathematical Problem-Solving Beliefs, Metacognitive, Awareness, Moderating Effect, RelationshipAbstract
This study employed a descriptive-correlational design to investigate the moderating effect of mathematical curiosity on the relationship between mathematical problem-solving beliefs and metacognitive awareness among college students enrolled at a private university in Davao City. The respondents were identified through cluster sampling. Results revealed that mathematical problem-solving beliefs significantly predict and moderately positively correlate with metacognitive awareness. Mathematical curiosity also predicts metacognitive awareness. However, mathematical curiosity does not significantly moderate the relationship between mathematical problem-solving beliefs and metacognitive awareness. This suggests that a student’s beliefs in their problem-solving skills remain a crucial aspect of their metacognitive awareness, regardless of their level of curiosity. Further research is recommended to explore students’ gaps, particularly in declarative knowledge and the place of mathematics, and to investigate this study’s best-fit model, notably among math majors.
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Adinda, A. (2021). Investigation of students’ metacognitive awareness failures about solving absolute value problems in mathematics education. Eurasian Journal of Educational Research, 95, 17-35. https://files.eric.ed.gov/fulltext/EJ1321661.pdf
Agudelo-Correa, Y. (2020). The effect of planning, monitoring and evaluating as metacognitive strategies on the EFL writing process. Matices en Lenguas Extranjeras, 14(1), 86-117. https://tinyurl.com/jsa4apxt
Ajan, J., Luna, C., & Roble, D. (2021). Do military students’ mathematical self-efficacy and metacognitive awareness matter on their problem-solving performance? American Journal of Educational Research, 2021, 9(6), 330-334. https://tinyurl.com/dk8azr34
Amin, I., Waluyo, B., Sukestiyarno, & Mariani (2022). Development of self-evaluation instrument in the implementation of PME (planning-monitoring-evaluating) learning model to evaluate metacognitive performance. Advances in Social Science, Education and Humanities 574, 492-497. https://doi.org/10.2991/assehr.k.211125.092
Anthonysamy, L. (2021). The use of metacognitive strategies for undisrupted online learning: Preparing university students in the age of pandemic. Education and Information Technologies, 26, 6881–6899 (2021). https://doi.org/10.1007/s10639-021-10518-y
Arum, R., Retnawati, H. & Widjajanti, D. (2019). Metacognitive awareness: How it affects mathematical problem-solving process. Journal of Physics Conference Series 1320(1), 012054. https://doi.org/10.1088/1742-6596/1320/1/012054
Baguin, R. & Janiola, F. (2023). Students’ level of metacognitive awareness as correlates of their mathematics achievement. Psychology and Education: A Multidisciplinary Journal, 16(6), 639-645 (2023). https://ejournals.ph/article.php?id=23417
Bal, A. (2015). Examination of the mathematical problem-solving beliefs and success levels of primary school teacher candidates through the variables of mathematical success and gender. Educational Sciences: Theory & Practice, 15(5),1373-1390. https://files.eric.ed.gov/fulltext/EJ1101278.pdf
Bariyyah, K. (2021). Problem-solving skills: Essential skills challenges for the 21st Century graduates. Jurnal Educatio (Jurnal Pendidikan Indonesia) 7(1), 71-80. https://doi.org/10.29210/120212843
Bayuningrum, W. A., Iswinarti, & Yuniardi, M. S. (2021). Peran kreativitas dalam memediasi hubungan rasa ıngin tahu dengan motivasi akademik pada mahasiswa seni. Jurnal Psikologi Teori Dan Terapan, 12(1), 81–91. https://doi.org/10.26740/jptt.v12n1.p81-91
Belecina, R. & Ocampo, J. M. (2016). Mathematical curiosity, epistemological beliefs, and mathematics performance of freshman preservice teachers. Jurnal Indonesia untuk Kajian Pendidikan, 1(1), 123-136. https://tinyurl.com/tnucptmm
Bernecker, K. & Job, V. (2019). Mindset theory. Social Psychology in Action, 179–191. https://doi.org/10.1007/978-3-030-13788-5_12
Brodowicz, M. (2024). Descriptive correlational design in research. Aithor. https://aithor.com/essay-examples/descriptive-correlational-design-in-research
Bujang, M. (2024). An elaboration on sample size determination for correlations based on effect sizes and confidence interval width: A guide for researchers. Restorative Dentistry & Endodontics, 49(2), e21. https://doi.org/10.5395/rde.2024.49.e21
Chen, X., Twomey, K., & Westermann, G. (2022). The limits of curiosity? New evidence for the roles of metacognitive abilities and curiosity in learning. Metacognition Learning 20(1) 1-15. https://doi.org/10.1007/s11409-024-09407-9
DepEd. (2023). Matatag curriculum. https://www.academ-e.ph/wp-content/uploads/2023/09/Mathematics-CG-2023.pdf
Dweck, C. S. (2006). Mindset: The new psychology of success. Ballantine Books.
Golla, E. F., & Reyes, A. G. (2020). PISA mathematics literacy framework vis-à-vis the K to 12 mathematics curriculum. In M. U. Balagtas & M. A. C. Montealegre (Eds.), Challenges of PISA: The PNU Report (pp. 57–100). Philippine Normal University and Rex Institute for Student Excellence, Inc. https://tinyurl.com/y4ruafmw
Güner, P., & Erbay, H. N. (2021). Metacognitive skills and problem-solving. International Journal of Research in Education and Science (IJRES), 7(3), 715–734. https://doi.org/10.46328/ijres.1594
Hacker, D. J., Kiuhara, S. A., & Levin, J. R. (2019). A metacognitive intervention for teaching fractions to students with or at-risk for learning disabilities in mathematics. Springer Nature. ZDM, 51(4), 601–612. https://doi.org/10.1007/s11858-019-01040-0
Hansson, A. (2019). Technology and mathematics. Philosophy & Technology 33, 117-139. https://doi.org/10.1007/s13347-019-00348-9
Herrity, J. (2024). What are problem-solving skills? Definitions and examples. Indeed. https://www.indeed.com/career-advice/resumes-cover-letters/problem-solving-skills
Lim, H. E., Min, J. H., Robles, Y. F., & Lapinid, M. R. (2019). The “wrong answer note”: An analysis of students’ mistakes. DLSU Research Congress. https://tinyurl.com/tjsd4jhm
Mohammed, A. A. (2024). Factors influencing preservice teachers’ attitudes towards problem-solving in mathematics education. American Journal of Interdisciplinary Research and Innovation (AJIRI), 3(3) 1-10, 2024. https://journals.e-palli.com/home/index.php/ajiri/article/view/3264/1598
Mondal, D. (2023). Metacognitive awareness and its relation to academic performance among learners: A review paper. International Journal of Research and Review (Baroda), 10(7), 742–748. https://doi.org/10.52403/ijrr.20230786
Montillado, C. J. & Lovitos, A. H. (2023). Metacognitive awareness and attitude towards communicative approach of junior high school students. American Journal of Multidisciplinary Research and Innovation (AJMRI), 2(1) 22-35, 2023. https://journals.e-palli.com/home/index.php/ajmri/article/view/1192/488
Norman, E., Pfuhl, G., Saele, R., Svartdal, F., Lag, T., & Dahl, T. I. (2019). Metacognition in psychology. Review of General Psychology, 23(4), 403–424. https://doi.org/10.1177/1089268019883821
OECD. (2023). PISA 2022 Results (Volume I): The state of learning and equity in education, PISA. OECD Publishing, Paris, https://doi.org/10.1787/53f23881-en.
Ojose, B. (2011). Mathematics literacy: Are we able to put the mathematics we learn into everyday use? Journal of Mathematics Education, 4(1), 89-100. https://tinyurl.com/ype2w8zj
Olop, J., Granström, M., & Kikas, E. (2024). Students’ metacognitive knowledge of learning-strategy effectiveness and their recall of teachers’ strategy instructions. Frontiers in Education, 9, Article 1307485. https://doi.org/10.3389/feduc.2024.1307485
Özçakmak, H., Köroğlu, M., Korkmaz, C., & Bolat, Y. (2021). The effect of metacognitive awareness on academic success. African Educational Research Journal, 9(2), 434-448, May 2021. https://files.eric.ed.gov/fulltext/EJ1297101.pdf
Peterson, E. G., & Cohen, J. (2019). A case for domain-specific curiosity in mathematics. Educ Psychol Rev 31, 807–832. https://doi.org/10.1007/s10648-019-09501-4
Ramadhanti, D. & Yanda, D. (2021). Students’ metacognitive awareness and its impact on writing skill. International Journal of Language Education, 5, 193-206. https://eric.ed.gov/?id=EJ1330195
Rhodes, M. (2019). Metacognition. Teaching of Psychology, 46(2), 168-175. https://doi.org/10.1177/0098628319834381
Sabasaje, S., & Oco, R. (2023). Students’ mathematical skills and performance. International Journal of Multidisciplinary Research and Publications (IJMRAP), 6(2), 328-332. https://tinyurl.com/r2m364cz
Sekaryanti, R., Darmayanti, R., Choirudin., Usmiyatun., Kestoro, E., & Bausir, U. (2022). Analysis of mathematics problem-solving ability of junior high school students in emotional intelligence. Jurnal Gantang 7(2), 149-161. https://tinyurl.com/mwnf668t
Simkus, J. (2023). Cluster sampling: Definition, method and examples. Simply psychology. https://www.simplypsychology.org/cluster-sampling.html
Sintema, E. & Mosimege, M. (2023). High school students’ beliefs about mathematical problem solving: A cluster analysis. Mathematics Teaching Research Journal 68 Early Spring 2023, 15(1). https://files.eric.ed.gov/fulltext/EJ1391467.pdf
Sopekan, O. & Awofala, A. (2019). Mathematics anxiety and mathematics beliefs as correlates of early childhood pre-service teachers’ numeracy skills. Research Gate, 9(2), 2019. https://doi.org/10.24193/PedActa.9.2.2
Stanton, J., Sebesta, A., & Dunlosky, J. (2021). Fostering metacognition to support student learning and performance. CBE—Life Sciences Education, 20(2), 1-7. https://doi.org/10.1187/cbe.20-12-0289
Sturm, N. & Bohndick, C. (2021). The influence of attitudes and beliefs on the problem-solving performance. Frontiers in Education, 6. https://doi.org/10.3389/feduc.2021.525923
Subaşı, A. (2019). A dynamic systems theory of epistemic curiosity. New Ideas in Psychology, 54, 8–14. https://doi.org/10.1016/j.newideapsych.2018.12.003
Tak, C., Zulnaidi, H., & Eu, L. (2022). Measurement model testing: Adaption of metacognitive awareness toward mathematic reasoning among undergraduate education students. Contemporary Mathematics and Science Education, 3(2), ep22021. https://tinyurl.com/mr3r55a
Tan, O. (2021). Problem-based learning innovation. Cengage Learning Asia Pte Ltd. https://tinyurl.com/5cxz7z9r
TIMSS. (2019). Philippines. TIMSS & PIRLS International Study Center. https://timssandpirls.bc.edu/timss2019/encyclopedia/philippines.html
Telaumbanua, Y., Syahputra, E., & Surya, E. (2024). Students’ metacognitive awareness in mathematics learning. Academy of Education Journal, 15(1), 1047–1055. https://doi.org/10.47200/aoej.v15i1.2359
Valderama, J. & Oligo, J. (2021). Learning retention in mathematics over consecutive weeks: Impact of motivated forgetting. International Journal of Evaluation and Research in Education, 10(4) 1245-1254. https://tinyurl.com/443uhap3
Vohra, D. (2022). What are mathematical skills? Leverage Edu. https://leverageedu.com/blog/mathematical-skills/
Wolcott, M., McLaughlin, J., Hann, A., Miklavec, A., Dallaghan, G., Rhoney, D., & Zomorodi, M. (2021). A review to characterize and map the growth mindset theory in health professions education. National Library of Medicine. https://pubmed.ncbi.nlm.nih.gov/32955728/
Yadav, S. (2020). Role of mathematics in the development of society. International Journal of Research and Analytical Reviews, 6(4), 295-298. https://tinyurl.com/43wh75kf
Yavuz, G. & Erbay, H. N. (2014). The analysis of pre-service teachers’ beliefs about mathematical problem solving. Procedia - Social and Behavioral Sciences, 174(2015) 2687 – 2692. https://doi.org/10.1016/j.sbspro.2015.01.953
Yorulmaz, A., Uysal, H., & Çokçaliskan, H. (2021). Pre-service primary school teachers’ metacognitive awareness and beliefs about mathematical problem solving. Journal of Research and Advances in Mathematics Education (JRAMathEdu), 6(3), 239–259. https://doi.org/10.23917/jramathedu.v6i3.14349
Zetriuslita, Z., & Ariawan, R. (2021). Curiosity matematis mahasiswa dalam pembelajaran daring ditinjau berdasarkan level kemampuan akademik dan gender. Jurnal Cendekia: Jurnal Pendidikan Matematika, 5(0), 3253–3264.
Zetriuslita, Z., Saleh, S. F., Baharullah, B., & Laelasari, L. (2024). An analysis of students’ mathematical curiosity in online learning viewed from academic level and gender. Research in Social Sciences and Technology, 9(2), 1–12. https://doi.org/10.46303/ressat.2024.22
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Copyright (c) 2025 Kristine E. Lagud, Carlos Jose O. Villamor, Loverlen T. Loma, Joey C. Oliveros
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