Analysis of Students’ Mathematical Literacy Skills on Space and Shape Content
DOI:
https://doi.org/10.33394/j-ps.v14i3.18850Keywords:
Mathematical literacy skills, PISA, Space and shape, Qualitative descriptive, Secondary studentsAbstract
This study employs a qualitative descriptive design with a case study approach. This study aims to describe students' mathematical literacy abilities in the Space and Shape content of PISA. The Programme for International Student Assessment (PISA) analytical framework posits that the evaluation of mathematical literacy necessitates an integrated approach involving four primary dimensions: mathematical content, processes, contexts, and competencies. With respect to mathematical content, the framework delineates four distinct categories: Change and Relationships, Space and Shape, Quantity, and Uncertainty and Data. Space and Shape literacy is essential, as it encompasses the ability to understand and interpret forms, space, and real-world situations through geometric representations. This literacy demands the application of geometric concepts, spatial visualization, and the capacities for reasoning, modeling, and reflection in problem-solving. The findings indicate that students' mathematical literacy skills vary across distinct ability levels. High-ability students successfully fulfill the formulate and employ aspects. Conversely, moderate-ability students encounter difficulties with geometric representation and complex problem-solving, while low-ability students struggle across all stages of the mathematical literacy process. Notably, the interpret aspect is the most frequently unfulfilled component across all student categories. These outcomes demonstrate that the formulate, employ, and interpret processes are interrelated, suggesting that deficiencies in the initial stages impede success in subsequent phases. The implications of this research suggest the necessity of problem-based and contextual learning supported by visual representations, mathematical discussions, reflection, and scaffolding strategies to develop students' formulate, employ, and interpret competencies in solving real-world problems.
References
Adams, J., Resnick, I., & Lowrie, T. (2023). Supporting Senior High‑School Students’ Measurement and Geometry Performance: Does Spatial Training Transfer to Mathematics achievement? Mathematics Education Research Journal, 35(4), 879–900. https://doi.org/10.1007/s13394-022-00416-y
Aini, I. N. (2022). Developing PISA-Like Math Problems in The Content of Space and Shape ThroughThe Context of Historical Buildings. Journal on Mathematics Education, 13(4), 723–738. https://doi.org/10.22342/jme.v13i4.pp723-738
Alagumalai, S., & Buchdahl, N. (2021). PISA 2012 : Examining The Influence of Prior Knowledge , Effects on Achievements in Mathematical Literacy Processes – Interpret , Employ and Formulate. Australian Journal of Education, 65(2), 173–194. https://doi.org/10.1177/00049441211031674
Borgonovi, F., Choi, A., & Paccagnella, M. (2021). The Evolution of Gender Gaps in Numeracy and Literacy Between Childhood and Young Adulthood. Economics of Education Review, 82(November 2019), 1–24. https://doi.org/10.1016/j.econedurev.2021.102119
Börner, K., Bueckle, A., & Ginda, M. (2019). Data Visualization Literacy : Definitions , Conceptual Frameworks , Exercises , and Assessments. 116(6), 1857–1864. https://doi.org/10.1073/pnas.1807180116
Cartwright, K. (2023). Observing Mathematical Fluency Through Students’ Oral Responses. The Journal of Mathematical Behavior, 69(March 2023). https://doi.org/10.1016/j.jmathb.2023.101047
Clarke, M., & Bazaldua, D. (2021). Primer on Large-Scale Assessments Of Educational Achievement. World Bank Group. https://doi.org/10.1596/978-1-4648-1659-8
Dagdelen, M., & Yildiz, A. (2022). The Relationship between the Secondary Students ’ Mathematics Anxiety and Mathematical Literacy Self-Efficacy. Journal of Computer and Education Research, 10(20), 636–655. https://doi.org/10.18009/jcer.1165625
Deslis, D., & Desli, D. (2023). Does this Answer Make Sense ? Primary School Students and Adults Judge the Reasonableness of Computational Results in Context ‑ Based and Context ‑ Free Mathematical. International Journal of Science and Mathematics Education, 21, 71–91. https://doi.org/10.1007/s10763-022-10250-0
Dewi, N., & Maulida, N. (2023). The Development of STEM-nuanced Mathematics Teaching Materials to Enhance Students ’ Mathematical Literacy Ability Through Information and Communication Technology-Assisted Preprospec Learning Model. International Journal of Educational Methodology, 9(2), 409–421. https://doi.org/10.12973/ijem.9.2.409
Faizatunnisa, Tayeb, T., Syah, F. A., Khaerani, F. N., & Saraswati. (2023). Didaktic Analysis of Junior High School Students Mathematical Literacy Skill On Space and Shape. Alauddin Journal of Mathematics Education, 5(2), 160–180.
Gal, I., Grotlüschen, A., Tout, D., & Kaiser, G. (2020). Numeracy , Adult Education , and Vulnerable Adults : A Critical View of A Neglected Field. ZDM Mathematics Education, 52(3), 377–394. https://doi.org/10.1007/s11858-020-01155-9
Japa, N., Suarjana, & Widiana. (2017). Media Geogebra dalam Pembelajaran Matematika. International Journal of Natural Science and Engineering, 1(2), 40–47. https://doi.org/10.23887/ijnse.v1i2.12467
Kabael, U., & Baran. (2023). An Investigation of Mathematics Teachers ’ Conceptions of Mathematical Literacy Related to Participation in a Web-Based PISA Course. Bartın University Journal of Faculty of Education, 12(2), 315–324. https://doi.org/10.14686/buefad.1053557
Kontorovich, I. (2019). Why Do Students Not Check Their Solutions to Mathematical Problems ? A Field-Based Hypothesis on Epistemological Status. International Journal of Mathematical Education in Science and Technology, 50(7), 1–13. https://doi.org/10.1080/0020739X.2019.1650304
Lane, D., Lynch, R., & Mcgarr, O. (2018). Problematizing Spatial Literacy Within The School Curriculum. International Journal of Technology and Design Education, September. https://doi.org/10.1007/s10798-018-9467-y
Lane, D., & Sorby, S. (2021). Bridging The Gap : Blending Spatial Skills Instruction Into a Technology Teacher Preparation Programme. International Journal of Technology and Design Education, 0123456789. https://doi.org/10.1007/s10798-021-09691-5
Liu, M., Xiao, G., & He, H. (2025). Research on the Solution of Solid Geometry Problems in College Entrance Examination Mathematics — Take the National I / II / III Test from 2018 to 2022 as an Example. Journal of Educational Research and Policies, 07(3), 118–125. https://doi.org/10.53469/jerp.2025.07(03).20
Machromah, I. U., Prayitno, H. J., & Faiziyah, N. (2020). Designing PISA-like Mathematics Task to Assess Students ’ Mathematical Literacy. Universal Journal of Educational Research, 8(10), 4986–4995. https://doi.org/10.13189/ujer.2020.081072
Maharani, R. A., & Aini, I. N. (2021). Deskripsi Tahapan Problem Solving Siswa Pada Soal Bertipe Pisa Space and Shape Content. Jurnal Cendekia: Jurnal Pendidikan Matematika, 05(02), 1193–1200.
Masfufah, R., & Afriansyah, E. A. (2021). Analisis Kemampuan Literasi Matematis Siswa melalui Soal PISA. Mosharafa: Jurnal Pendidikan Matematika, 10(2), 291–300.
Morgan, C., & Volante, L. (2016). A review of the Organisation for Economic Cooperation and Development ’ s international education surveys : Governance , human capital discourses , and policy debates. Policy Futures in Education, 14(6), 775–792. https://doi.org/10.1177/1478210316652024
Munfarikhatin, A., & Natsir, I. (2020). Analisis Kemampuan Literasi Matematika Siswa Pada Konten Space And Shape. Histogram : Jurnal Pendidikan Matematika, 4(1), 128–138. https://doi.org/10.31100/histogram.v4i1.569
Nasution, R. S., Muhammad, K., Fauzi, A., & Syahputra, E. (2019). Developing Mathematics Problem Based on PISA Level of Space and Shape Content to Measure Student ’ s Mathematics Problem Solving Ability. 7(10), 660–669. https://doi.org/10.12691/education-7-10-1
Ng, D. T. K., Tsui, M. F., & Yuen, M. (2022). Exploring the use of 3D printing in mathematics education : A scoping review. Asian Journal for Mathematics Education, 1(3), 338–358. https://doi.org/10.1177/27527263221129357
OECD. (2006). PISA Released Items - 2006 (Issue December).
OECD. (2012). PISA Released Items 2012.
OECD. (2018). PISA for Development Assessment and Analytical Framework. OECD Publishing. https://doi.org/10.1787/9789264305274-en
OECD. (2022). PISA 2022 Assessment and Analytical Framework. OECD Publishing. https://doi.org/10.1787/dfe0bf9c-en.
OECD. (2024). New PISA Results on Creative Thinking : Can Students Think Outside The Box?
Ozdemir, Y., & Polat, S. (2024). Teachers With a Refugee Background Work as Educators in Germany. Journal of Education and Learning (EduLearn), 18(4), 1394–1404. https://doi.org/10.11591/edulearn.v18i4.21738
Ozgen, K. (2019). Problem-Posing Skills for Mathematical Literacy: The Sample of Teachers and Pre-Service Teachers. Eurasian Journal of Educational Research, 19(84), 177–212. https://doi.org/10.14689/ejer.2019.84.9
Papadopoulos, I., & Dagdilelis, V. (2008). Students’ Use of Technological Tools For Verification Purposes in Geometry Problem Solving. The Journal of Mathematical Behavior, 27(4), 311–325. https://doi.org/10.1016/j.jmathb.2008.11.001
Pavlovicova, G., Gonda, D., Tirpakova, A., & Duris, V. (2023). Interpretation of Mathematical Tasks Misunderstanding in the Context of Disciplinary Literacy of University Students Gabriela. European Journal of Contemporary Education, 12(3), 962–976. https://doi.org/10.13187/ejced.2023.3.962
Poch, A. L., Garderen, D. Van, & Scheuermann, A. M. (2015). Students ’ Understanding of Diagrams for Solving Word Problems : A Framework for Assessing Diagram Proficiency. Sage Journals, 47(3), 153–162. https://doi.org/10.1177/0040059914558947
Qadry, I. K. (2022). Dalam Menyelesaikan Soal PISA Konten Space And Shape Pada Kelas IX SMP Negeri 13 Makassar. Infinity: Jurnal Matematika Dan Aplikasinya (IJMA), 2(2), 78–92.
Ramdjid, N., Sukestiyarno, S., Rochmad, R., & Mulyono, M. (2022). Students’ Difficulties in Solving Geometry Problems. Cypriot Journal of Educational Sciences, 17(12), 4628–4640. https://doi.org/10.18844/cjes.v17i12.7039 Received
Schmidt, W. H., Burroughs, N. A., Zoido, P., & Houang, R. T. (2015). The Role of Schooling in Perpetuating Educational Inequality: An International Perspective. Educational Researcher, 44(7), 371–386. https://doi.org/10.3102/0013189X15603982
Silitonga, R. H., Molle, J. S., & Ngilawajan, D. A. (2023). Increasing Mathematical Problem-Solving Abilities Using Video Tutorials Of The Three-Dimensional Coordinate System In Spatial Analytic Geometry. JOHME : Journal of Holistic Mathematics Education, 7(2), 212–226. https://doi.org/10.19166/johme.v7i2.7575 E-ISSN:
Sinclair, N., Bussi, M. G., De Villiers, M., Jones, K., Ulrich, K., Allen, L., & Owens, K. (2016). Recent Research on Geometry Education : An ICME ‑ 13 Survey Team Report. ZDM: International Journal on Mathematics Education, 48, 691–719. https://doi.org/10.1007/s11858-016-0796-6
Song, Y. (2024). Investigating The Relationship Between Math Literacy and Linguistic Synchrony in Online Mathematical Discussions Through Large‐Scale Data Analytics. British Journal of Educational Technology, 55(5), 2226–2256. https://doi.org/10.1111/bjet.13444
Sugiarti, T., Suwito, A., & Ummah, F. R. (2022). Representasi Matematis Siswa dalam Menyelesaikan PISA Konten Space and Shape Ditinjau dari Adversity Quotient. PYTHAGORAS: Jurnal Matematika Dan Pendidikan Matematika, 17(2), 425–434. https://doi.org/10.21831/pythagoras.v17i2.47686
Suprapto, E., Suryani, N., Siswandari, & Mardiyana. (2023). Students’ Mathematical Literacy Skill in Term of Gender Differences : A comparative Study. International Journal of Evaluation and Research in Education (IJERE), 12(4), 2280–2285. https://doi.org/10.11591/ijere.v12i4.27224
Tekin, E., & Pinar, Y. (2023). Preschool Attendance, School Starting Age and Cultural-Financial Resources as Predictors of Adolescent’s Reading Comprehension : Evidence From PISA 2025 and 2028. In Sage Journals (pp. 1–15). https://doi.org/10.1177/21582440231207690
Thomaneck, A., Vollstedt, M., & Schindler, M. (2025). Exploring Causes of the Graph-as-picture Error in Students ’ Graph Interpretation : Insights from an Eye-tracking Study with Ninth Graders. Journal Für Mathematik-Didaktik, 46(13), 1–33. https://doi.org/10.1007/s13138-025-00264-w
Wang, T., & Yang, D. (2016). A Comparative Study of Geometry in Elementary School Mathematics Textbooks from Five Countries. European Journal of STEM Education, 1(3), 1–10. https://doi.org/10.20897/lectito.201658
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