Mapping Epistemological Obstacles in Junior High School Students' Statistical Word-Problem Solving: A Systematic Literature Review

Authors

  • Aeryn Meiska Putri Bangun Universitas Singaperbangsa Karawang, Indonesia
  • Adi Ihsan Imami Universitas Singaperbangsa Karawang, Indonesia
  • Rina Marlina Universitas Singaperbangsa Karawang, Indonesia

DOI:

https://doi.org/10.31949/dm.v8i2.18712

Abstract

Statistical word problems require students to integrate conceptual understanding, procedural competence, and computational skills to interpret and represent data meaningfully. However, the epistemological obstacles underlying students' difficulties in solving such problems remain fragmented across individual studies. This study aimed to synthesize empirical evidence on the epistemological obstacles experienced by junior high school students in statistical word-problem solving and to examine the relationships among conceptual, procedural, and operational obstacles. A Systematic Literature Review (SLR) was conducted following the PRISMA 2020 guidelines. Literature published between 2019 and 2026 was identified through Google Scholar, ERIC, and Garuda. After applying predefined eligibility criteria and quality assessment procedures, 24 empirical studies were included in the qualitative synthesis. Data were analyzed using qualitative content analysis and thematic synthesis. The review identified three dominant categories of epistemological obstacles. Conceptual obstacles were the most prevalent, appearing in 20 studies, followed by procedural obstacles in 17 studies and operational obstacles in 14 studies. The synthesis further revealed that these obstacles formed a progressive and interconnected pattern. Incomplete conceptual understanding constrained students' procedural decision-making, while procedural deficiencies subsequently increased the likelihood of operational errors during statistical problem solving. These findings suggest that students' statistical learning difficulties should be understood as an integrated system of epistemological obstacles rather than isolated categories of error. The review proposes a progressive framework of epistemological obstacles and highlights the importance of strengthening conceptual understanding through contextualized learning, multiple representations, and formative assessment to support meaningful statistical reasoning.

Keywords:

Epistemological obstacles, Statistics education, Statistical word problems, Data presentation, Systematic literature review

Downloads

Download data is not yet available.

References

Aleifat, R. J. Y., & Tabieh, A. A. S. (2025). A bibliometric analysis of scientific articles on mathematics misconceptions. International Electronic Journal of Mathematics Education, 20(1), em0803. https://doi.org/10.29333/iejme/15678

Aziz, A. M., & Rosli, R. (2021). A systematic literature review on developing students' statistical literacy skills. Journal of Physics: Conference Series, 1806(1), Article 012102. https://doi.org/10.1088/1742-6596/1806/1/012102

de Chiusole, D., Stefanutti, L., Anselmi, P., & Robusto, E. (2020). Stat-Knowlab: Assessment and learning of statistics with competence-based knowledge space theory. International Journal of Artificial Intelligence in Education, 30(4), 668–700. https://doi.org/10.1007/s40593-020-00223-1

Dewi, R. A., Harahap, P. A., Juandi, D., & Turmudi, T. (2026). Praxeological analysis of measures of central tendency in Grade VIII mathematics textbooks: Identifying learning obstacles and improving task presentation. Indonesian Journal of Science and Mathematics Education, 9(1), 292–304. https://doi.org/10.24042/ijsme.v9i1.26808

Dewi, R., Riyadi, R., & Siswanto, S. (2022). Learning process: Obstacles on statistical content. In AIP Conference Proceedings (Vol. 2566, No. 1, Article 020005). AIP Publishing. https://doi.org/10.1063/5.0116833

Dewi, R., Riyadi, R., & Siswanto, S. (2022). Students' epistemological obstacles in statistical problems. In Proceedings of the 2nd National Conference on Mathematics Education 2021 (NaCoME 2021) (pp. 183–188). Atlantis Press. https://doi.org/10.2991/assehr.k.220403.026

diSessa, A. A. (2019). A friendly introduction to “Knowledge in Pieces”: Modeling types of knowledge and their roles in learning. In G. Kaiser & N. Presmeg (Eds.), Compendium for Early Career Researchers in Mathematics Education (ICME-13 Monographs, pp. 65–84). Springer. https://doi.org/10.1007/978-3-030-15636-7_11

Elisya, N., Dahlan, J. A., & Yulianti, K. (2024). Epistemological obstacles of secondary school students in solving PISA-standard mathematical literacy problems related to functions. Jurnal Pendidikan MIPA, 25(4), 1771–1786. https://doi.org/10.23960/jpmipa/v25i4.pp1771-1786

Friedrich, A., Schreiter, S., Vogel, M., et al. (2024). What shapes statistical and data literacy research in K–12 STEM education? A systematic review of metrics and instructional strategies. International Journal of STEM Education, 11, 58. https://doi.org/10.1186/s40594-024-00517-z

Fries, L., Son, J. Y., Givvin, K. B., & Stigler, J. W. (2021). Practicing connections: A framework to guide instructional design for developing understanding in complex domains. Educational Psychology Review, 33(3), 739–762. https://doi.org/10.1007/s10648-020-09561-x

Fujii, T. (2020). Misconceptions and alternative conceptions in mathematics education. In Stephen Lerman (Ed.), Encyclopedia of Mathematics Education. Springer. https://doi.org/10.1007/978-3-030-15789-0_114

Gobert, J. D., Moussavi, R., Li, H., Sao Pedro, M., & Dickler, R. (2018). Real-time scaffolding of students' online data interpretation during inquiry with Inq-ITS using educational data mining. In M. Auer, A. Azad, A. Edwards, & T. de Jong (Eds.), Cyber-Physical Laboratories in Engineering and Science Education (pp. 127–144). Springer. https://doi.org/10.1007/978-3-319-76935-6_8

Gould, R. (2021). Toward data-scientific thinking. Teaching Statistics, 43(S1), S11–S22. https://doi.org/10.1111/test.12267

Griese, B., Nieszporek, R., & Biehler, R. (2022). Facilitators' views on content goals, learning obstacles, and teaching resources in reference to conditional probability. In Proceedings of the Twelfth Congress of the European Society for Research in Mathematics Education (CERME12). https://hal.science/hal-03746264/

Gunadi, F., & Juandi, D. (2022). What methods are used for statistical reasoning learning? A systematic literature review. Jurnal Pendidikan MIPA, 23(2), 345–359. https://doi.org/10.23960/jpmipa/v23i2.pp345-359

Gunadi, F., Kusumah, Y. S., Juandi, D., & Dasari, D. (2025). StatCom Android mobile-based teaching materials: Enhancing statistical reasoning. European Journal of STEM Education, 10(1), Article 19. https://doi.org/10.20897/ejsteme/17238172

Haqq, A. A., Sari, M., & Wahid, S. (2022). Pengembangan situasi didaktis berdasarkan hambatan belajar pada materi statistika SMP. Jurnal Theorems (The Original Research of Mathematics), 7(1), 136–149. https://doi.org/10.31949/th.v7i1.4379

Hasim, S., Rosli, R., & Halim, L. (2024). A systematic review on teaching strategies for fostering students' statistical thinking. International Journal of Learning, Teaching and Educational Research, 23(1), 136–158. https://doi.org/10.26803/ijlter.23.1.8

Hendriyanto, A., Suryadi, D., Juandi, D., Dahlan, J. A., Hidayat, R., Wardat, Y., Sahara, S., & Muhaimin, L. H. (2024). The didactic phenomenon: Deciphering students' learning obstacles in set theory. Journal on Mathematics Education, 15(2), 517–544. https://doi.org/10.22342/jme.v15i2.pp517-544

Husnah, M., & Herman, T. (2026). A diagnostic analysis of learning obstacles in similarity and congruence based on students' mathematical reasoning. Al-Ta'dib: Jurnal Kajian Ilmu Kependidikan, 19(1), 216–232. https://doi.org/10.31332/atdbwv19i1.14079

Irish, T., Berkowitz, A., & Harris, C. (2019). Data explorations: Secondary students' knowledge, skills and attitudes toward working with data. Eurasia Journal of Mathematics, Science and Technology Education, 15(6), em1686. https://doi.org/10.29333/ejmste/103063

Jankvist, U. T., & Niss, M. (2018). Counteracting destructive student misconceptions of mathematics. Education Sciences, 8(2), 53. https://doi.org/10.3390/educsci8020053

Jannah, F. L., Aminah, N., Pramuditya, S. A., Rosita, C. D., & Noto, M. S. (2023). Analysis of learning obstacles for junior high school students in understanding SPLDV concepts. Journal Focus Action of Research Mathematic (Factor M), 6(2), 143–162. https://doi.org/10.30762/f_m.v6i2.1862

Johnson, E. D., & Tubau, E. (2017). Structural mapping in statistical word problems: A relational reasoning approach to Bayesian inference. Psychonomic Bulletin & Review, 24, 964–971. https://doi.org/10.3758/s13423-016-1159-6

Kastolan. (1992). Identifikasi jenis-jenis kesalahan menyelesaikan soal-soal matematika yang dilakukan peserta didik kelas II program A1 SMA Negeri se-Kotamadya Malang. IKIP Malang.

Khaldi, A., Bouzidi, R., & Nader, F. (2023). Gamification of e-learning in higher education: A systematic literature review. Smart Learning Environments, 10, Article 10. https://doi.org/10.1186/s40561-023-00227-z

Kshetree, M. P., Acharya, B. R., Khanal, B., Panthi, R. K., & Belbase, S. (2021). Eighth grade students’ misconceptions and errors in mathematics learning in Nepal. European Journal of Educational Research, 10(3), 1101–1121. https://doi.org/10.12973/eu-jer.10.3.1101

Kurnia, A. B., Lowrie, T., & Patahuddin, S. M. (2024). The development of high school students' statistical literacy across grade level. Mathematics Education Research Journal, 36(Suppl. 1), 7–35. https://doi.org/10.1007/s13394-023-00449-x

Lee, H., Chung, H. Q., Zhang, Y., Abedi, J., & Warschauer, M. (2020). The effectiveness and features of formative assessment in U.S. K–12 education: A systematic review. Applied Measurement in Education, 33(2), 124–140. https://doi.org/10.1080/08957347.2020.1732383

Lian, L. H., Yew, W. T., & Meng, C. C. (2022). Assessing lower secondary school students' common errors in statistics. Pertanika Journal of Social Sciences & Humanities, 30(3). https://doi.org/10.47836/pjssh.30.3.26

Makwakwa, E. G., Mogari, D., & Ogbonnaya, U. I. (2024). First-year undergraduate students’ statistical problem-solving skills. Teaching Statistics, 46(1), 8–23. https://doi.org/10.1111/test.12359

Maltese, A. V., Harsh, J. A., & Svetina, D. (2015). Data visualization literacy: Investigating data interpretation along the novice–expert continuum. Journal of College Science Teaching, 45(1), 84–90. https://doi.org/10.2505/4/jcst15_045_01_84

Moru, E. K. (2007). Talking with the literature on epistemological obstacles. For the Learning of Mathematics, 27(3), 34–37. https://flm-journal.org/Articles/7968B5B6DC68EB311866308086F062.pdf

Moru, E. K. (2009). Epistemological obstacles in coming to understand the limit of a function at undergraduate level: A case from the National University of Lesotho. International Journal of Science and Mathematics Education, 7, 431–454. https://doi.org/10.1007/s10763-008-9143-x

Muñiz-Rodríguez, L., Rodríguez-Muñiz, L. J., & Alsina, Á. (2020). Deficits in the statistical and probabilistic literacy of citizens: Effects in a world in crisis. Mathematics, 8(11), Article 1872. https://doi.org/10.3390/math8111872

Nafis, H. L. H., Usodo, B., Siswanto, S., & Nurhasanah, F. (2025). Analysis of epistemological obstacles on the material of two-variable linear equation system. KnE Social Sciences, 10(11), 257–271. https://doi.org/10.18502/kss.v10i11.18747

Ng, C. L., & Chew, C. M. (2023). Uncovering student errors in measures of dispersion: An APOS theory analysis in high school statistics education. European Journal of Science and Mathematics Education, 11(4), 599–614. https://doi.org/10.30935/scimath/13260

Page, M. J., McKenzie, J. E., Bossuyt, P. M., Boutron, I., Hoffmann, T. C., Mulrow, C. D., ... & Moher, D. (2021). Updating guidance for reporting systematic reviews: development of the PRISMA 2020 statement. Journal of clinical epidemiology, 134, 103-112. https://doi.org/10.1016/j.jclinepi.2021.02.003

Papadouris, J. P., Komis, V., & Lavidas, K. (2025). Errors and misconceptions of secondary school students in absolute values: A systematic literature review. Mathematics Education Research Journal, 37, 507–528. https://doi.org/10.1007/s13394-024-00499-9

Pauji, I., Suryadi, D., Setambah, M. A. B. B., & Hendriyanto, A. (2023). Learning obstacle in the introduction to number: A critical study within didactical design research framework. Indonesian Journal of Science and Mathematics Education, 6(3), 430–451. https://doi.org/10.24042/ijsme.v6i3.19792

Paul, J., & Barari, M. (2022). Meta-analysis and traditional systematic literature reviews—What, why, when, where, and how? Psychology & Marketing, 39(6), 1099–1115. https://doi.org/10.1002/mar.21657

Pellas, N., Kazanidis, I., & Palaigeorgiou, G. (2020). A systematic literature review of mixed reality environments in K–12 education. Education and Information Technologies, 25, 2481–2520. https://doi.org/10.1007/s10639-019-10076-4

Rahmah, B. N., & Maarif, S. (2021). Analisis epistemological obstacles terhadap siswa SMP kelas VII pada materi statistika (penyajian data). Jurnal Matematika UNAND, 10(4), 510–518. https://doi.org/10.25077/jmu.10.4.510-518.2021

Rico, N., & Ruiz-Hidalgo, J. F. (2022). Errors concerning statistics and probability in Spanish secondary school textbooks. Applied Sciences, 12(24), Article 12719. https://doi.org/10.3390/app122412719

Romero Ariza, M., Quesada Armenteros, A., & Estepa Castro, A. (2024). Promoting critical thinking through mathematics and science teacher education: The case of argumentation and graph interpretation about climate change. European Journal of Teacher Education, 47(1), 41–59. https://doi.org/10.1080/02619768.2021.1961736

Rosali, D. F., Suryadi, D., & Suhendra. (2024). Learning obstacles of junior high school students in computational thinking on number pattern lessons. KnE Social Sciences, 395–407. https://doi.org/10.18502/kss.v9i13.15940

Saidah, A., & Wijayanti, P. (2022). Analisis kesalahan siswa SMP pada materi statistika ditinjau dari gaya belajar dengan menggunakan instrumen CRI. MATHEdunesa, 11(2), 620–629. https://doi.org/10.26740/mathedunesa.v11n2.p620-629

Sari, D. R., & Bernard, M. (2020). Analisis kesalahan siswa SMP dalam menyelesaikan soal materi statistika di Bandung Barat. Journal of Medives: Journal of Mathematics Education IKIP Veteran Semarang, 4(2), 223–232. https://doi.org/10.31331/medivesveteran.v4i2.1060

Schneider, M. (2020). Epistemological obstacles in mathematics education. In Stephen Lerman (Ed.), Encyclopedia of Mathematics Education. Springer. https://doi.org/10.1007/978-3-030-15789-0_57

Schreiter, S., Friedrich, A., Fuhr, H., et al. (2024). Teaching for statistical and data literacy in K–12 STEM education: A systematic review on teacher variables, teacher education, and impacts on classroom practice. ZDM–Mathematics Education, 56, 31–45. https://doi.org/10.1007/s11858-023-01531-1

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://files.commons.gc.cuny.edu/wp-content/blogs.dir/34462/files/2024/07/06-Siagian.pdf

Siahaan, E. Y. S., Dasari, D., & Suryadi, D. (2024). Learning obstacles hindering junior high school students' understanding of surface area of a prism. Jurnal Pendidikan Progresif, 14(1), 167–182. https://doi.org/10.23960/jpp.v14.i1.202413

Subali, B., Ellianawati, Negoro, R. A., Dwijananti, P., Anandita, A. S., & Setyaningsih, N. E. (2025). Assessing students' graph interpretation ability through the use of educational research statistics learning material. In Journal of Physics: Conference Series (Vol. 3148, No. 1, Article 012009). IOP Publishing. https://doi.org/10.1088/1742-6596/3148/1/012009

Subali, B., Negoro, R. A., Ellianawati, Dwijananti, P., Anandita, A. S., Setyaningsih, N. E., & Siswanto. (2025). Technology-enhanced learning for statistical graph interpretation: An item response theory analysis of learning outcomes. Research and Evaluation in Education, 11(2), 142–157. https://doi.org/10.21831/reid.v11i2.89666

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. https://files.eric.ed.gov/fulltext/EJ1382285.pdf

Tishkovskaya, S., & Lancaster, G. A. (2012). Statistical education in the 21st century: A review of challenges, teaching innovations and strategies for reform. Journal of Statistics Education, 20(2). https://doi.org/10.1080/10691898.2012.11889641

Trunkenwald, J., Moungabio, F. M., & Laval, D. (2022). The frequentist approach of probability, from random experiment to sampling fluctuation. Canadian Journal of Science, Mathematics and Technology Education, 22, 679–699. https://doi.org/10.1007/s42330-022-00230-5

Tubau, E. (2022). Why can it be so hard to solve Bayesian problems? Moving from number comprehension to relational reasoning demands. Thinking & Reasoning, 28(4), 605–624. https://doi.org/10.1080/13546783.2021.2015439

Tubau, E., Rodríguez-Ferreiro, J., Barberia, I., et al. (2019). From reading numbers to seeing ratios: A benefit of icons for risk comprehension. Psychological Research, 83, 1808–1816. https://doi.org/10.1007/s00426-018-1041-4

Wahab, A., Kusuma, Y. S., Juandi, D., Turmudi, T., Buhaerah, B., & Syaiful, S. (2024). Understanding students’ struggles in solving mathematical problems: A systematic literature review using Polya’s framework. Jurnal Pendidikan Progresif, 14(3), 1728–1753. https://doi.org/10.23960/jpp.v14.i3.2024118

Weiland, T. (2017). Problematizing statistical literacy: An intersection of critical and statistical literacies. Educational Studies in Mathematics, 96, 33–47. https://doi.org/10.1007/s10649-017-9764-5

Wijaya, A. P., Yunarti, T., & Coesamin, M. (2019). The analyzing of students' learning obstacles in understanding proportion. In Journal of Physics: Conference Series (Vol. 1280, No. 4, Article 042022). IOP Publishing. https://doi.org/10.1088/1742-6596/1280/4/042022

Wijayanti, P. S., & Dasari, D. (2025). Didactic transposition studies: Taught knowledge's exploration of statistics for phase E students. In AIP Conference Proceedings (Vol. 3446, No. 1, Article 030039). AIP Publishing. https://doi.org/10.1063/5.0309172

Wilkie, K. J. (2020). Investigating students' attention to covariation features of their constructed graphs in a figural pattern generalisation context. International Journal of Science and Mathematics Education, 18(2), 315–336. https://doi.org/10.1007/s10763-019-09955-6

Xiao, Y., & Watson, M. (2019). Guidance on conducting a systematic literature review. Journal of Planning Education and Research, 39(1), 93–112. https://doi.org/10.1177/0739456X17723971

Yan, Z., King, R. B., & Haw, J. Y. (2021). Formative assessment, growth mindset, and achievement: Examining their relations in the East and the West. Assessment in Education: Principles, Policy & Practice, 28(5–6), 676–702. https://doi.org/10.1080/0969594X.2021.1988510

Zieffler, A., Garfield, J., & Fry, E. (2018). What is statistics education? In D. Ben-Zvi, K. Makar, & J. Garfield (Eds.), International handbook of research in statistics education (pp. 37–70). Springer. https://doi.org/10.1007/978-3-319-66195-7_2

Downloads

Abstract Views : 25
Downloads Count: 24

Published

2026-07-06

How to Cite

Bangun, A. M. P., Imami, A. I., & Marlina, R. (2026). Mapping Epistemological Obstacles in Junior High School Students’ Statistical Word-Problem Solving: A Systematic Literature Review. Jurnal Didactical Mathematics, 8(2), 323–344. https://doi.org/10.31949/dm.v8i2.18712