Sustainable Education and Digital Transformation
Inquiry-based learning and epistemic beliefs as foundations of sustainable mathematical problem-solving in secondary education
Seth Oppong 1 * , Cobbinah Manu Appiah 1, Aaron Osei Bosompem 1, James Akwasi Erzuah 1, Leticia Takyiwaa Adarkwa 1
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1 Akenten Appiah-Menka University of Skills Training and Entrepreneurial Development, Ghana
* Corresponding Author
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Sustainable Education and Digital Transformation, 2027 - Volume 2 Issue 2, Article No: e44038
https://doi.org/10.33902/SEDT.202644038

Article Type: Research Article

Published Online: 28 Sep 2026

Views: 191 | Downloads: 140

ABSTRACT
This study examines the effects of inquiry-based learning (IBL) and epistemic beliefs on senior high school students’ perceived mathematical problem-solving competence within the context of sustainable mathematics education. A quantitative cross-sectional design was employed, and data were collected from 395 senior high school students using a structured questionnaire. Exploratory factor analysis and reliability analyses were conducted using SPSS version 27, while confirmatory factor analysis and structural equation modeling were performed using AMOS version 23. The findings showed that IBL had a significant positive effect on students’ perceived problem-solving competence (PPSC) and epistemic beliefs. Epistemic beliefs also significantly and positively predicted PPSC. However, the interaction between IBL and epistemic beliefs was not statistically significant, indicating that epistemic beliefs did not moderate the relationship between IBL and PPSC. These findings suggest that IBL and epistemic beliefs make independent contributions to students’ perceived mathematical problem-solving competence. From a sustainable mathematics education perspective, the results highlight the importance of instructional practices that promote inquiry, reasoning, reflection, and more sophisticated beliefs about mathematical knowledge in supporting long-term problem-solving development.
KEYWORDS
epistemic beliefs inquiry-based learning mathematics education perceived problem-solving competence senior high school
In-text citation: (Oppong et al., 2027)
Reference: Oppong, S., Appiah, C. M., Bosompem, A. O., Erzuah, J. A., & Adarkwa, L. T. (2027). Inquiry-based learning and epistemic beliefs as foundations of sustainable mathematical problem-solving in secondary education. Sustainable Education and Digital Transformation, 2(2), e44038. https://doi.org/10.33902/SEDT.202644038
In-text citation: (1), (2), (3), etc.
Reference: Oppong S, Appiah CM, Bosompem AO, Erzuah JA, Adarkwa LT. Inquiry-based learning and epistemic beliefs as foundations of sustainable mathematical problem-solving in secondary education. Sustainable Education and Digital Transformation. 2027;2(2), e44038. https://doi.org/10.33902/SEDT.202644038
In-text citation: (1), (2), (3), etc.
Reference: Oppong S, Appiah CM, Bosompem AO, Erzuah JA, Adarkwa LT. Inquiry-based learning and epistemic beliefs as foundations of sustainable mathematical problem-solving in secondary education. Sustainable Education and Digital Transformation. 2027;2(2):e44038. https://doi.org/10.33902/SEDT.202644038
In-text citation: (Oppong et al., 2027)
Reference: Oppong, Seth, Cobbinah Manu Appiah, Aaron Osei Bosompem, James Akwasi Erzuah, and Leticia Takyiwaa Adarkwa. "Inquiry-based learning and epistemic beliefs as foundations of sustainable mathematical problem-solving in secondary education". Sustainable Education and Digital Transformation 2027 2 no. 2 (2027): e44038. https://doi.org/10.33902/SEDT.202644038
In-text citation: (Oppong et al., 2027)
Reference: Oppong, S., Appiah, C. M., Bosompem, A. O., Erzuah, J. A., and Adarkwa, L. T. (2027). Inquiry-based learning and epistemic beliefs as foundations of sustainable mathematical problem-solving in secondary education. Sustainable Education and Digital Transformation, 2(2), e44038. https://doi.org/10.33902/SEDT.202644038
In-text citation: (Oppong et al., 2027)
Reference: Oppong, Seth et al. "Inquiry-based learning and epistemic beliefs as foundations of sustainable mathematical problem-solving in secondary education". Sustainable Education and Digital Transformation, vol. 2, no. 2, 2027, e44038. https://doi.org/10.33902/SEDT.202644038
REFERENCES
  • Alkış Küçükaydın, M., Akkanat Avşar, Ç., Ayaz, E., & Sayıcı, E. (2025). Predictors of science identity in primary school: Epistemological beliefs, competency beliefs, and science learning experiences. International Journal of Science Education, 47(9), 1169–1191. https://doi.org/10.1080/09500693.2024.2361172
  • Asante, J. A., Awuah, F. K., & Folson, D. (2025). Teachers’ readiness and self-efficacy in implementing inquiry-based learning in primary mathematics education: A case of Sekyere Kumawu District, Ghana. SAGE Open, 15(3), 21582440251375212. https://doi.org/10.1177/21582440251375212
  • Asiedu Menlah, C. K., & Boateng, F. O. (2025). Examining the effect of AI-based tutoring systems on students' mathematical problem-solving skills. Journal of Pedagogical Sociology and Psychology, 7(3), 5–17. https://doi.org/10.33902/jpsp.202536137
  • Ayalon, M., Wilkie, K. J., & Swaid, R. (2024). Investigating students’ arguments with real-life functional situations throughout a sequence of collaborative activities. EURASIA Journal of Mathematics, Science and Technology Education, 20(11), em2526. https://doi.org/10.29333/ejmste/15482
  • Barmby, P., Bolden, D., & Thompson, L. (2025). Understanding and enriching problem-solving in primary mathematics. Routledge. https://doi.org/10.4324/9781041057727
  • Boateng, F. O., Davor, I., & Appiah Manu, C. (2026). Innovative teaching methods supported by artificial intelligence and students’ mathematical problem-solving: The mediating role of student engagement. EIKI Journal of Effective Teaching Methods, 4(1), 66–79. https://doi.org/10.59652/7tsj5730
  • Chen, F., & Chen, G. (2025). Learning analytics in inquiry-based learning: A systematic review. Educational Technology Research and Development. https://doi.org/10.1007/s11423-025-10507-9
  • Chen, W. (2025). Problem-solving skills, memory power, and early childhood mathematics: Understanding the significance of early childhood mathematics in an individual’s life. Journal of the Knowledge Economy, 16(1), 1–25. https://doi.org/10.1007/s13132-023-01557-6
  • Davor, I., Asare, C., & Abanamu, A. (2026). Predictors of students’ mathematics problem-solving skills: Feedback, beliefs, learning support, and technology. Sustainable and Pedagogical Technologies, 2(2), e43735. https://doi.org/10.33902/SPT.202643735
  • Davor, I., Boateng, F. O., & Lotey, E. K. (2025). The mediating role of metacognitive thinking in the relationship between attributional beliefs, academic buoyancy, error-management mindset, and mathematics achievement. European Journal of Mathematics and Science Education, 6(4), 239–253. https://doi.org/10.12973/ejmse.6.4.239
  • Davor, I., Boateng, F. O., Osei-Tutu, P., Osei-Bosompem, A., Patience, A. S., & Adusei, L. A. (2026). Examining the mediating roles of digital literacy and critical thinking in the relationship between ChatGPT use and university students’ mathematical problem-solving efficacy. Journal of Mathematics, Science and Technology Education, 3(1), 1–15. https://doi.org/10.12973/jmste.3.1.1
  • Davor, I., Dawmah, P., & Larbi, E. (2026). An investigation into senior high school students’ performance and difficulties in proving Euclidean geometry in mathematics curriculum: Evidence from Ghana. Contemporary Mathematics and Science Education, 7(1), Article ep26005. https://doi.org/10.30935/conmaths/17990
  • Depaepe, F., De Corte, E., & Verschaffel, L. (2016). Mathematical epistemic cognition. In J. A. Greene, W. A. Sandoval, & I. Bråten (Eds.), Handbook of epistemic cognition (pp. 147–164). Routledge.
  • Fornell, C., & Larcker, D. F. (1981). Evaluating structural equation models with unobservable variables and measurement error. Journal of Marketing Research, 18(1), 39–50. https://doi.org/10.1177/002224378101800104
  • Gradini, E., Noviani, J., & Ulya, K. (2025). Fostering higher-order thinking skills in mathematics education: Strategies, challenges, and classroom practices. Prisma Sains, 13(2), 135–163. https://doi.org/10.33394/j-ps.v13i2.15099
  • Gupta, A., & Elby, A. (2011). Beyond epistemological deficits: Dynamic explanations of engineering students’ difficulties with mathematical sense-making. International Journal of Science Education, 33(18), 2463–2488. https://doi.org/10.1080/09500693.2010.551551
  • Hair, J. F., Matthews, L. M., Matthews, R. L., & Sarstedt, M. (2017). PLS-SEM or CB-SEM: Updated guidelines on which method to use. International Journal of Multivariate Data Analysis, 1(2), 107–123. https://doi.org/10.1504/IJMDA.2017.087624
  • Hair, J. F., Sarstedt, M., Ringle, C. M., & Mena, J. A. (2012). An assessment of the use of partial least squares structural equation modeling in marketing research. Journal of the Academy of Marketing Science, 40(3), 414–433. https://doi.org/10.1007/s11747-011-0261-6
  • Hamenu, J., & Davor, I. (2026). Digital learning platforms and mathematical problem-solving ability: The moderating role of self-regulated learning. European Journal of Mathematics and Science Education, 7(2), 87-99. https://doi.org/10.12973/ejmse.7.2.87
  • Hayduk, L. A., & Littvay, L. (2012). Should researchers use single indicators, best indicators, or multiple indicators in structural equation models? BMC Medical Research Methodology, 12(1), 159. https://doi.org/10.1186/1471-2288-12-159
  • Hofer, B. K., & Pintrich, P. R. (1997). The development of epistemological theories: Beliefs about knowledge and knowing and their relation to learning. Review of Educational Research, 67(1), 88–140. https://doi.org/10.3102/00346543067001088
  • Hofer, B. K. (2016). Epistemic cognition as a psychological construct: Advancements and challenges. In J. A. Greene, W. A. Sandoval, & I. Bråten (Eds.), Handbook of epistemic cognition (pp. 19–38). Routledge.
  • Hwang, G. J., Chen, Y. T., & Chien, S. Y. (2024). A concept map-based community of inquiry framework for virtual learning contexts. Education and Information Technologies, 29(12), 15147–15172. https://doi.org/10.1007/s10639-024-12454-z
  • Kaarlõp, H. L., Jõgi, A. L., Poom-Valickis, K., & Oja, M. (2025). Fostering complex historical understandings. Journal of Curriculum Studies. https://doi.org/10.1080/00220272.2025.2496462
  • Katrancı, Y., & Şengül, S. (2020). The evaluation of inquiry learning skills towards math of middle school students in terms of inquiring, evaluating, reasoning, and reflective-thinking skills for problem-solving. Education and Science, 45(201), 55–78. https://doi.org/10.15390/EB.2020.7765
  • Kersting, M., Karlsen, S., Ødegaard, M., Olufsen, M., Kjærnsli, M., & Suhr Lunde, M. L. (2023). Studying the quality of inquiry-based teaching in science classrooms. International Journal of Science Education, 45(17), 1463–1484. https://doi.org/10.1080/09500693.2023.2213386
  • Kline, R. B. (2023). Principles and practice of structural equation modeling. Guilford Press.
  • Konold, T. R., & Sanders, E. A. (2024). On the behavior of fit indices. Measurement: Interdisciplinary Research and Perspectives, 22(4), 341–360. https://doi.org/10.1080/15366367.2023.2264605
  • Lammassaari, H., Hietajärvi, L., Lonka, K., Chen, S., & Tsai, C. C. (2024). Teachers’ epistemic beliefs and reported practices. Educational Studies, 50(5), 781–805. https://doi.org/10.1080/03055698.2021.2000369
  • Larbi, E., Boateng, F. O., Davor, I., & Oppong, S. (2026). Unveiling the cognitive and affective foundations of mathematical problem-solving: A mixed-methods study of metacognitive awareness, epistemological beliefs, and mathematical resilience. International Journal of Educational Methodology, 12(3), 205-222. https://doi.org/10.12973/ijem.12.3.205
  • Lee, H. Y., Wu, T. T., Lin, C. J., Wang, W. S., & Huang, Y. M. (2024). Integrating computational thinking into scaffolding learning. Journal of Educational Computing Research, 62(2), 211–247. https://doi.org/10.1177/07356331231211916
  • Marsh, H. W., Guo, J., Dicke, T., Parker, P. D., & Craven, R. G. (2020). Confirmatory factor analysis (CFA). Multivariate Behavioral Research, 55(1), 102–119. https://doi.org/10.1080/00273171.2019.1602503
  • Muis, K. R., & Chen, J. A. (2025). Culture as practice. Educational Psychologist, 60(1), 4–6. https://doi.org/10.1080/00461520.2025.2439768
  • Palincsar, A. S. (2012). Social constructivist perspectives on teaching and learning. In H. Daniels (Ed.), An introduction to Vygotsky (2nd ed., pp. 290–319). Routledge.
  • Podsakoff, P. M., & Organ, D. W. (1986). Self-reports in organizational research. Journal of Management, 12(4), 531–544. https://doi.org/10.1177/014920638601200408
  • Říčan, J., Chytrý, V., & Medová, J. (2022). Aspects of self-regulated learning. Frontiers in Psychology, 13, 963151. https://doi.org/10.3389/fpsyg.2022.963151
  • Schiefer, J., Edelsbrunner, P. A., Bernholt, A., Kampa, N., & Nehring, A. (2022). Epistemic beliefs in science. Educational Psychology Review, 34(3), 1541–1575. https://doi.org/10.1007/s10648-022-09661-w
  • Strat, T. T. S., Henriksen, E. K., & Jegstad, K. M. (2024). Inquiry-based science education in teacher education. Studies in Science Education, 60(2), 191–249. https://doi.org/10.1080/03057267.2023.2207148
  • Szabo, Z. K., Körtesi, P., Guncaga, J., Szabo, D., & Neag, R. (2020). Examples of problem-solving strategies. Sustainability, 12(23), 10113. https://doi.org/10.3390/su122310113
  • Tang, X. (2025). Social context factors and epistemological beliefs. Research in Science & Technological Education, 43(3), 903–923. https://doi.org/10.1080/02635143.2024.2355196
  • Xu, S., Reiss, M. J., & Lodge, W. (2024). Enhancing scientific creativity through inquiry-based teaching. International Journal of Science Education. https://doi.org/10.1080/09500693.2024.2419987
  • Vygotsky, L. S. (1978). Mind in society: The development of higher psychological processes (M. Cole, V. John-Steiner, S. Scribner, & E. Souberman, Eds.). Harvard University Press.
  • Zhao, L., Wang, S., & Su, Y. S. (2024). Pre-service teachers’ metacognition. Education and Information Technologies, 29(11), 14403–14429. https://doi.org/10.1007/s10639-023-12439-4
  • Zhu, Y., Liu, X., Xiao, Y., & Sindakis, S. (2024). Mathematics anxiety and problem-solving proficiency. Journal of the Knowledge Economy, 15(4), 20516–20546. https://doi.org/10.1007/s13132-023-01688-w
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