Epistemological Obstacles of Secondary School Students in Solving PISA-Standard Mathematical Literacy Problems Related to Functions
Abstract
Abstract: Mathematical literacy is an essential 21st-century competency that students must possess to address global challenges. However, results from the Programme for International Student Assessment (PISA) show that Indonesian students' mathematical literacy remains low. This study aims to explore the epistemological obstacles experienced by students in understanding and solving PISA-standard mathematical literacy problems related to functions. Employing a qualitative approach through Didactical Design Research (DDR), this study focused on identifying epistemological obstacles among four 8th-grade students at a public secondary school in Bandung. Data were collected using tests, interviews, and documentation. The research findings revealed epistemological obstacles related to both conceptual knowledge and practical application, which were detailed in five main issues: understanding the concept of functions, representing functions in the form of equations, graphs, and tables, and solving context-based problems. These obstacles arose due to limited foundational knowledge, such as the concepts of domain, range, and variables, as well as a lack of practice in solving contextual problems.
Keywords: epistemological obstacles, mathematical literacy, PISA, function, mathematic education.
DOI: http://dx.doi.org/10.23960/jpmipa/v25i4.pp1771-1786
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Al-Mutawah, M. A., Thomas, R., Eid, A., Mahmoud, E. Y., & Fateel, M. J. (2019). Conceptual understanding, procedural knowledge and problem-solving skills in mathematics: High school graduates work analysis and standpoints. International Journal of Education and Practice, 7(3), 258–273. https://doi.org/10.18488/ journal.61.2019.73.258.273
Astuti, M., Ismail, F., Fatimah, S., Puspita, W., & Herlina. (2024). The relevance of the merdeka curriculum in improving the quality of islamic education In Indonesia. International Journal of Learning, Teaching and Educational Research, 23(6), 56–72. https://doi.org/10.26803/ijlter.23.6.3
Aydın, U., & Özgeldi, M. (2019). The PISA Tasks: Unveiling prospective elementary mathematics teachers’ difficulties with contextual, conceptual, and procedural knowledge. Scandinavian Journal of Educational Research, 63(1), 105–123. https://doi.org/10.1080/00313831.2017.1324906
Aziz, T. A., & Kurniasih, M. D. (2019). External representation flexibility of domain and range of function. Journal on Mathematics Education, 10(1), 143–155. https://doi.org/10.22342/jme.10.1.5257.143-156
Bardini, C., Pierce, R., Vincent, J., & King, D. (2014). Undergraduate mathematics students’ understanding of the concept of function. Journal on Mathematics Education, 5(2), 85–107. https://doi.org/10.22342/jme.5.2.1495.85-107
Brosseau, G. (2002). Theory of didactical situations in mathematics. kluwer academic publisher.
Burns-Childers, A., & Vidakovic, D. (2018). Calculus students’ understanding of the vertex of the quadratic function in relation to the concept of derivative. International Journal of Mathematical Education in Science and Technology, 49(5), 660–679. https://doi.org/10.1080/0020739X.2017.1409367
Cooper, J. L., Sidney, P. G., & Alibali, M. W. (2018). Who benefits from diagrams and illustrations in math problems? ability and attitudes matter. Applied Cognitive Psychology, 32(1), 24–38. https://doi.org/10.1002/acp.3371
Fadlelmula, F. K. (2022). Enablers and obstacles in teaching and learning of mathematics: A systematic review in LUMAT journal. Lumat, 10(2), 33–55. https://doi.org/10.31129/LUMAT.10.2.1627
Fauzana, R., Dahlan, J. A., & Jupri, A. (2020). The influence of realistic mathematics education (RME) approach in enhancing students’ mathematical literacy skills. Journal of Physics: Conference Series, 1521(3), 0–5. https://doi.org/10.1088/1742-6596/1521/3/032052
Genc, M., & Erbas, A. K. (2019). Secondary mathematics teachers’ conceptions of mathematical literacy. International Journal of Education in Mathematics, Science and Technology, 7(3), 222–237.
Gusnardi, & Muda, I. (2019). Educational institution performance measurement based on miles and huberman models using balanced scorecard approach. Quality - Access to Success, 20(170), 32–41.
Hasibuan, Y. A., & Hasanah, R. U. (2022). Analysis of the difficulties of junior high school students in solving pisa model mathematics problems. Jurnal Pendidikan Progresif, 12(2), 435–450. https://doi.org/10.23960/jpp.v12.i2.202204
Jukić Matić, L., Kehler-Poljak, G., & Rukavina, S. (2022). The influence of curriculum on the concept of function: an empirical study of pre-service teachers. European Journal of Science and Mathematics Education, 10(3), 380–395. https://doi.org/10.30935/SCIMATH/12042
Jungjohann, J., Gebhardt, M., & Scheer, D. (2022). Understanding and improving teachers’ graph literacy for data-based decision-making via video intervention. Frontiers in Education, 7(September), 1–18. https://doi.org/10.3389/feduc. 2022.919152
Jupri, A., & Drijvers, P. (2016). Student difficulties in mathematizing word problems in Algebra. Eurasia Journal of Mathematics, Science and Technology Education, 12(9), 2481–2502. https://doi.org/10.12973/eurasia.2016.1299a
Kholid, M. N., Rofi’ah, F., Ishartono, N., Waluyo, M., Maharani, S., Swastika, A., Faiziyah, N., & Sari, C. K. (2022). What are students’ difficulties in implementing mathematical literacy skills for solving PISA-Like problem? Journal of Higher Education Theory and Practice, 22(2), 181–200. https://doi.org/10.33423/ jhetp.v22i2.5057
Kolar, V. M., & Hodnik, T. (2021). Mathematical literacy from the perspective of solving contextual problems. European Journal of Educational Research, 10(1), 467–483. https://doi.org/10.12973/EU-JER.10.1.467
Mansur, N. (2018). Melatih literasi matematika siswa dengan soal PISA. Prisma, Prosiding Seminar Nasional Matematika. 1, 140–144. https://journal.unnes.ac.id/ sju/index.php/prisma/
NCTM. (2020). Standards for the preparation of secondary mathematics teachers. The National Council of Teachers of Mathematics, Inc., May, 1–84.
Nurgabyl, D., Satkulov, B., & Kagazbayeva, A. (2023). Formation and development of mathematical literacy in the context of evaluative - Study tasks of PISA. Journal on Mathematics Education, 14(4), 701–722. https://doi.org/10.22342/jme. v14i4.pp701-722
O’Shea, A., Breen, S., & Jaworski, B. (2016). The development of a function concept inventory. International Journal of Research in Undergraduate Mathematics Education, 2(3), 279–296. https://doi.org/10.1007/s40753-016-0030-5
OCDE. (2024). Pisa 2022. In Perfiles Educativos (Vol. 46, Issue 183). https://doi.org/10.22201/iisue.24486167e.2024.183.61714
OECD. (2023a). PISA 2022 results factsheets Indonesia. OECD (Organisation for Economic Co-Operation and Development) Publication, 1–9. https://www.oecd.org/en/publications/pisa-2022-results-volume-i-and-ii-country-notes_ed6fbcc5-en/indonesia_c2e1ae0e-en.html
OECD. (2023b). Program For International Student (PISA) 2022 Assessment and analytical framework. In OECD (Organisation for Economic Co-operation and Development) Publishing. https://www.oecd-ilibrary.org/education/pisa-2022-assessment-and-analytical-framework_dfe0bf9c-en
Parhizgar, Z., Dehbashi, A., Liljedahl, P., & Alamolhodaei, H. (2022). Exploring students’ misconceptions of the function concept through problem-posing tasks and their views thereon. International Journal of Mathematical Education in Science and Technology, 53(12), 3261–3285. https://doi.org/10.1080/0020739X. 2021.1937732
Retnawati, H., & Wulandari, N. F. (2018). The development of students’ professional self-concept. Problems of Education in the 21st Century, 77(4), 816–824. https://doi.org/10.15405/epsbs.2018.09.95
Ruli, R. M., Priatna, N., Sufyani, P., & Endang, M. (2018). Analysis learning obstacle on quadratic function topic. International Journal of Information and Education Technology, 8(9), 681–684. https://doi.org/10.18178/ijiet.2018.8.9.1122
Siagian, M. D., Suryadi, D., Nurlaelah, E., & Prabawanto, S. (2022). Investigation of secondary students’ epistemological obstacles in the inequality concept. Mathematics Teaching-Research Journal, 14(4), 106–128. https://doi.org/10.1007/978-3-642-17735-4
Sulastri, R., Suryadi, D., Prabawanto, S., & Cahya, E. (2022). Epistemological obstacles on limit and functions concepts-a phenomenological study in online learning. Mathematics Teaching-Research Journal, 14(5), 84–106.
Sumirattana, S., Makanong, A., & Thipkong, S. (2017). Using realistic mathematics education and the DAPIC problem-solving process to enhance secondary school students’ mathematical literacy. Kasetsart Journal of Social Sciences, 38(3), 307–315. https://doi.org/10.1016/j.kjss.2016.06.001
Suryadi, D. (2010). Metapedadidaktik dan didactical design research (DDR). Sintesis Hasil Pemikiran Berdasarkan Lesson Study, 1–14.
Thompson, P. W., & Carlson, M. P. (2017). Variation, covariation, and functions: Foundational ways of mathematical thinking. Compendium for Research in Mathematics Education, January, 421–456.
Trujillo, M., Atarés, L., Canet, M. J., & Pérez-Pascual, M. A. (2023). Learning difficulties with the concept of function in maths: a literature review. Education Sciences, 13(5). https://doi.org/10.3390/educsci13050495
Umbara, U., & Suryadi, D. (2019). Re-interpretation of mathematical literacy based on the teacher’s perspective. International Journal of Instruction, 12(4), 789–806. https://doi.org/10.29333/iji.2019.12450a
Walde, G. S. (2017). Difficulties of concept of function: The case of general secondary school students of Ethiopia. International Journal of Scientific & Engineering Research, 8(4), 1–10. https://doi.org/10.14299/ijser.2017.04.002
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