Analysis of Mathematical Problem-Solving Skills of SMK Class XI Students in Statistics Material
DOI:
https://doi.org/10.58421/misro.v5i3.1350Keywords:
Mathematical Problem-Solving Ability, Problem-Based Learning (PBL), statisticsAbstract
The purpose of this study is to characterize students' mathematical problem-solving skills in statistics using problem-solving indicators, such as comprehending the problem, coming up with a strategy, executing the plan, and looking back, as well as examining the different kinds of mistakes that students make. The study used a qualitative descriptive approach. Purposive sampling was used to choose twenty-eight eleventh-grade students from SMK Perkasa for the 2025–2026 school year as the subjects. The research tool was an essay test that assessed mathematical problem-solving skills. In order to examine the data, students' skills were divided into three categories: high, medium, and low. The proportion of mistakes for each indication was then determined. The findings indicate that pupils' aptitude for solving mathematical problems was typically classified as low. In all, 57.14% of pupils fell into the low group, 25.00% into the middle category, and 17.86% into the high category. Error rates were highest while implementing the solution plan (53%), followed by coming up with a strategy (41%), comprehending the problem (25%), and looking back (39%). These results show that pupils have trouble grasping procedures and doing computations accurately. Therefore, in order to enhance pupils' mathematical problem-solving skills, instructional efforts are needed.
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B. A. Khasanah, R. C. I. Prahmana, S. Adiputra, and M. Arnal-Palacián, "The beauty of mathematics in Indonesian culture: An impactful and meaningful context in number patterns learning," JRAMathEdu (Journal of Research and Advances in Mathematics Education), vol. 10, no. 1, pp. 68–80, 2025.
B. Firmansyah, E. Gradini, and N. Husna, "Enhancing mathematical literacy: Evaluating the effectiveness of the ELPSA framework in mathematics classrooms," Journal of Mathematics Education Research, vol. 12, no. 1, pp. 11–26, 2025.
M. S. Lubis and S. S. B. Ginting, "Development of a mathematics module based on HOTS questions on social arithmetic material," Journal of Mathematics Education Research, vol. 12, no. 1, pp. 86–99, 2025.
N. T. Rosita, "Analysis of algebraic reasoning ability of cognitive style perspectives on field dependent, field independent and gender," Journal of Physics: Conference Series, vol. 983, p. 012153, 2018.
A. Karim and A. Nurrahmah, "Analysis of students' mathematical comprehension skills in number theory courses," Journal of Analysis, vol. 4, no. 1, pp. 24–32, 2018.
R. Oktavia and F. H. Hidayati, "The impact of student perception on mathematics lessons at the high school level," Scholars: Journal of Education and Learning, vol. 16, no. 2, pp. 27–37, 2022.
S. Syamsuddin and M. A. P. Utami, "Teachers' perspectives on measurement and assessment dimensions in mathematics learning," AXIOM: Journal of Education and Mathematics, vol. 12, no. 1, pp. 1–13, 2023.
E. Santos-Trigo. "Problem solving in mathematics education: Tracing its foundations and current research-practice trends," ZDM–Mathematics Education, vol. 56, no. 2, pp. 211–222, 2024.
S. Mukarromah, I. Junaedi, and N. R. Dewi, "The influence of learning models on students' mathematical problem-solving abilities," Al-Khwarizmi: Journal of Mathematics Education, vol. 9, no. 1, pp. 45–58, 2025.
U. Sumarmo, Mathematical Thinking and Disposition. Bandung: FMIPA UPI, 2010.
K. E. Lestari and M. R. Yudhanegara, Mathematics Education Research. Bandung: Refika Aditama, 2021.
Y. N. Disparrilla and E. A. Afriansyah, "Analysis of students' mathematical problem-solving ability and self-efficacy on SPLDV material," SIGMA: Journal of Mathematics Education, vol. 14, no. 2, pp. 148–161, 2022.
S. Fadillah, "Mathematical Problem-Solving Ability," in National Seminar on Research, Education, and Application of Mathematics and Natural Sciences, Yogyakarta, 2009.
G. Polya, How to Solve It: A New Aspect of Mathematical Method. Princeton, NJ: Princeton University Press, 1973.
D. Majekroatina and D. D. Yohanie, "Mathematical problem-solving ability of students' two-variable linear equation system," Scientific Journal of Citra Bakti Education, vol. 11, no. 1, pp. 218–232, 2024.
R. Adetia, "Mathematical problem-solving ability reviewed from student self-efficacy," Journal of Educatio FKIP UNMA, vol. 8, no. 2, pp. 526–536, 2022.
J. R. Lasdianto and A. P. Abadi, "Mathematical problem-solving skills of junior high school students based on mathematics anxiety," Journal of Mathematics Education, vol. 14, no. 1, pp. 88–102, 2023.
F. Harahap, "Analysis of students' mistakes in solving mathematical story problems on opportunity topics based on Watson's criteria," Dissertation, UIN Syekh Ali Hasan Ahmad Addary, 2024.
E. Munengsih, A. Lukito, and T. Y. E. Siswono, "Analysis of students' mathematical problem-solving ability based on Polya stages," Journal of Mathematics Education, vol. 12, no. 2, pp. 145–158, 2021.
Kushendri and L. S. Zanthy, "Analysis of the mathematical problem-solving ability of high school students," Journal on Education, vol. 1, no. 3, pp. 94–100, 2019.
F. Andayani and A. N. Lathifah, "Analysis of Junior High School Students' Problem-Solving Ability in Solving Social Arithmetic Problems," Journal of Scholars, vol. 3, no. 1, pp. 1–10, 2019.
S. Toikka, L. Eronen, P. Atjonen, and S. Havu-Nuutinen, "Combined conceptualisations of metacognitive knowledge to understand students' mathematical problem-solving," Cogent Education, vol. 11, no. 1, p. 2357901, 2024.
J. Smith, "Supporting metacognitive talk during collaborative problem solving: A case study in Scottish primary school mathematics," Education 3–13, vol. 52, no. 8, pp. 1578–1593, 2024.
R. Rajadurai and H. Ganapathy, "Effect of use of metacognitive instructional strategies in promoting mathematical problem solving competence amongst undergraduate students in facing competitive examination," Cogent Education, vol. 10, no. 1, 2023.
M. Suliani, D. Juniati, and A. Lukito, "The influence of student's mathematical beliefs on metacognitive skills in solving mathematical problems," International Journal of Evaluation and Research in Education, vol. 13, no. 3, pp. 1481–1491, 2024.
S. Toikka, L. Eronen, P. Atjonen, and S. Havu-Nuutinen, "Combined conceptualisations of metacognitive knowledge to understand students' mathematical problem-solving," Cogent Education, vol. 11, no. 1, p. 2357901, 2024.
Y. Zhao and S. Saleh, "Metacognition and mathematical problem-solving: An empirical investigation into series problems with junior high school students," Mathematics Education Journal, vol. 9, no. 1, 2024.
R. Hidayat, Hermandra, and S. T. D. Ying, "The sub-dimensions of metacognition and their influence on modeling competency," Humanities and Social Sciences Communications, vol. 10, p. 763, 2023.
Y. Wangguway, T. Nusantara, Sudirman, and Susiswo, "Students' metacognitive activities in contextual mathematical problem solving," International Journal of Evaluation and Research in Education, vol. 14, no. 1, pp. 229–239, 2025.
J. Garfield and D. Ben-Zvi, "Developing students' statistical reasoning and literacy," Statistics Education Research Journal, vol. 17, no. 2, pp. 1–8, 2023.
Y. Wangguway, T. Nusantara, Sudirman, and Susiswo, "Students' metacognitive activities in contextual mathematical problem solving," International Journal of Evaluation and Research in Education, vol. 14, no. 1, pp. 229–239, 2025.
H. MacGillivray, "Getting the foundations right," Statistical Journal of the IAOS, vol. 37, no. 3, pp. 669–676, 2021
L. Purnaamasari and W. Setiawan, "Mathematical problem-solving ability of junior high school students in SPLDV material," Journal of Medives, vol. 3, no. 2, pp. 207–215, 2019.
A. N. Aljura et al., "Understanding high school students' errors in solving mathematics problems: A phenomenological research," IJOLAE, vol. 7, no. 2, pp. 154–178, 2025.
A. M. Wibowo, M. N. Isnazuharoh, and N. Arfinanti, "Analysis of students' mathematical problem-solving abilities reviewed from metacognition," De Fermat, vol. 8, no. 1, pp. 334–347, 2025.
R. Widiyasari, "Metacognition patterns of the students in solving mathematical problems," Al-Jabar, vol. 14, no. 2, pp. 449–465, 2023.
R. Amalia and H. Susanto, "Mathematical problem solving and reflection ability," Journal of Mathematics Education, vol. 17, no. 2, pp. 145–158, 2023.
A. S. Sa'adah et al., "Analysis of mathematical problem-solving ability of grade XII students," JKPM, vol. 10, no. 1, pp. 99–112, 2024.
A. Maharani and M. Misni, "Students' metacognizance in solving mathematical problems," Histogram, vol. 7, no. 1, pp. 442–451, 2023.
A. D. Safitri et al., "Analysis of students' mathematical problem-solving strategies," Journal of Mathematical Window, vol. 3, no. 1, pp. 7–16, 2025.
M. Lunemo, D. Kaunang, and V. E. Regar, "Analysis of learner errors in SPLDV," De Fermat, vol. 8, no. 1, pp. 306–311, 2025.
A. D. Dena, G. A. M. A. Putri, and P. S. Noviantari, "Analysis of student errors based on the Newman procedure," Journal of Mathematics Learning and Development, vol. 5, no. 2, pp. 211–219, 2025.
R. A. Saputra, S. K. Nisa, and C. Pramesti, "Analysis of student errors on trigonometric material," Polynomial Analysis, vol. 4, no. 3, pp. 747–759, 2025.
M. Zulyanty and A. Mardia, "Do students' errors still occur in mathematical word problem-solving?," Al-Jabar, vol. 13, no. 2, pp. 343–353, 2022.
S. N. E. Zalfa and N. D. Rahmawati, "Analysis of student errors in statistical story problems," Cartesian, vol. 4, no. 1, pp. 42–51, 2024.
S. Rosehana and H. Haerudin, "Students' mistakes in solving PISA problems," Didactical Mathematics, vol. 5, no. 2, pp. 461–470, 2023.
R. I. I. Putri, Zulkardi, and Y. Hartono, "Contextual statistical problem solving," Journal on Mathematics Education, vol. 12, no. 3, pp. 389–404, 2021.
S. R. S. Gunawan, J. A. Dahlan, and Darhim, "Concept understanding ability," Al-Jabar, vol. 16, no. 1, pp. 337–351, 2025.
L. Mustofiyah et al., "The effectiveness of problem-based statistical learning," Pendas, vol. 9, no. 4, pp. 250–264, 2024.
K. Nisa and S. Hadi, "Analysis of students' errors in statistical problem solving," Journal on Mathematics Education, vol. 13, no. 1, pp. 87–100, 2022.
D. Rahmawati and S. Sutiarso, "Students' difficulties in statistics," Mosharafa, vol. 9, no. 3, pp. 465–476, 2020.
D. O. Amelia, A. Rosyadi, and A. In'am, "Mathematical problem-solving abilities with a metacognitive approach," JPM, vol. 11, no. 1, pp. 1–12, 2025.
A. Wijaya, M. van den Heuvel-Panhuizen, and M. Doorman, "Difficulties in mathematical problem solving," International Journal of Instruction, vol. 12, no. 2, pp. 345–358, 2019
P. Putra, B. Y. G. Fitri, A. N. Rahman, and N. T. Rosita, "Problem based learning assisted by Geogebra: Improving students mathematical problem solving abilities," Journal of Mathematics Instruction, Social Research and Opini, vol. 5. No. 1, pp. 557-568, 2026
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