Mapping Mathematical Literacy in Combinatorics through Keirsey Temprament Groups and Metacognitive Questions (MQ): A Multiple Case Study of Four Undergraduates
DOI:
https://doi.org/10.33394/j-ps.v14i1.18070Keywords:
Mathematical literacy, Keirsey temperament groups, Metacognitive questions, Combinatorics, Higher educationAbstract
In a combinatorics course, several students still struggle to determine when to use the Multiplication Rule or the Addition Rule, indicating a challenge in mathematical literacy within the context of selection. Meanwhile, there are few studies that map this literacy while simultaneously considering Keirsey's metacognitive questions and temperament in real-world problem-solving situations. This multi-embedded case study research aims to map the mathematical and metacognitive literacy profiles of four students taking a Combinatorics course at a university. Data was collected through an adaptation of the Keirsey Temperament Sorter, one UTS question about breakfast menu choices containing four metacognitive questions (understanding, connection, strategy, and reflection), and semi-structured interviews. Student responses were thematically coded and mapped onto the OECD's formulate–employ–interpret components. The results in this study showed that only Guardian-type students approached a complete literacy profile; Artisan, other Guardian, and Rational types generally only met the initial formulate and interpret component, while employ and advanced interpret were still weak. The implication is that incorporating metacognitive questions into assessments can help lecturers diagnose the need for verification and justification scaffolding that is sensitive to differences in temperament.
References
Agustiani, N., Maharani, I. N., & Rahmawati, I. (2024). Profile of students’ problem-solving abilities based on keirsey’s personality in solving ethnomathematics problems. MaPan : Jurnal Matematika Dan Pembelajaran, 12(1), 116–131. https://doi.org/10.24252/mapan.2024v12n1a8
Anggorowati, W., Kariadinata, R., & Widiastuti A., T. T. (2024). Analysis of creative thinking skill in solving mathematical problems viewed from the types of personality. KnE Social Sciences, 4, 275–284. https://doi.org/10.18502/kss.v9i13.15928
Ayu, U. F., Hidayanto, E., Rahardjo, S., & Permadi, H. (2023). Analisis literasi matematis mahasiswa pada masalah ukuran pemusatan data berbasis evaluasi. Jurnal Cendekia: Jurnal Pendidikan Matematika, 07(02), 1582–1596. https://doi.org/https://doi.org/10.31004/cendekia.v7i2.2313
Choirunni’mah, L., & Khotimah, R. P. (2023). Analisis tingkat literasi matematika siswa dalam menyelesaikan soal peluang. Histogram: Jurnal Pendidikan Matematika, 7(1), 573–587. https://doi.org/10.31100/histogram.v7i1.2740
Da, N. T. (2023). Realistic mathematics education and authentic learning: a combination of teaching mathematics in high schools. Journal of Mathematics and Science Teacher, 3(1), em029. https://doi.org/10.29333/mathsciteacher/13061
Eminarti, Z., & Nasution, E. Y. P. (2025). Analysis of students’ mathematical problem-solving ability based on judging and perceiving temprament groups. Mathline : Jurnal Matematika Dan Pendidikan Matematika, 10(3), 781–800. https://doi.org/10.31943/mathline.v10i3.933
Ghani, U., Zhai, X., & Ahmad, R. (2021). Mathematics skills and STEM multidisciplinary literacy: role of learning capacity. STEM Education, 1(2), 104–113. https://doi.org/10.3934/steme.2021008
Kholid, M. N., & Nissa, M. (2022). Students’ math literacy in solving PISA-like problems in Papuan local context. Al-Ishlah: Jurnal Pendidikan, 14(4), 5645–5656. https://doi.org/10.35445/alishlah.v14i4.2258
Kusaka, S., & Ndihokubwayo, K. (2022). Metacognitive strategies in solving mathematical word problems: a case of rwandan primary school learners. SN Social Sciences, 2(9), 1–19. https://doi.org/10.1007/s43545-022-00495-5
Laamena, C. M., & Laurens, T. (2021). Mathematical literacy ability and metacognitive characteristics of mathematics pre-service teacher. Infinity Journal, 10(2), 259–270. https://doi.org/10.22460/infinity.v10i2.p259-270
Lockwood, E., & Ellis, A. B. (2022). Two students’ mathematical thinking and activity across representational registers in a combinatorial setting. ZDM - Mathematics Education, 54(4), 829–845. https://doi.org/10.1007/s11858-022-01352-8
Mahatri, F., Araiku, J., Pratiwi, W. D., & Yusup, M. (2023). Error analysis of prospective mathematics teacher in solving additional and multiplication rules problem in combinatorics based on adversity quotient. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 12(1), 962–970. https://doi.org/10.24127/ajpm.v12i1.6464
Mevarech, Z. R., & Kramarski, B. (2003). The effects of metacognitive training versus worked-out examples on students’ mathematical reasoning. British Journal of Educational Psychology, 73(4), 449–471. https://doi.org/10.1348/000709903322591181
Nisa, L. C., Waluya, St. B., Kartono, & Mariani, S. (2020). Developing mathematical conceptual understanding through problem-solving: the role of abstraction reflective. Advances in Social Science, Education and Humanities Research, 574, 38–42. https://doi.org/10.2991/assehr.k.211125.009
Nopriana, T., Herman, T., Suryadi, D., & Martadiputra, B. A. P. (2023). Combinatorics problems for undergraduate students: identification of epistemological obstacles and model of combinatorial thinking. National Conference on Mathematics Education (NACOME), 2811(1), 020021. https://doi.org/10.1063/5.0142261
Nugroho, A. A., Dwijayanti, I., Prayito, M., Noordin, M. K., & Fenyvesi, K. (2024). Design of algebra digital book on mixed reality-based to improve learner’s numeracy literacy. JRAMathEdu (Journal of Research and Advances in Mathematics Education), 9(4), 176–189. https://doi.org/10.23917/jramathedu.v9i4.4745
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
OECD. (2023). PISA 2022 results: the state of learning and equity in education (PISA, Vol. 1). OECD. https://doi.org/10.1787/53f23881-en
Paloloang, M. F. B., Juandi, D., Tamur, M., Paloloang, B., & Adem, A. M. G. (2020). Meta analisis: pengaruh problem-based learning terhadap kemampuan literasi matematis siswa di indonesia tujuh tahun terakhir. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 9(4), 851–864. https://doi.org/10.24127/ajpm.v9i4.3049
Prihatiningtyas, N. C., & Buyung. (2023). Kemampuan literasi matematis siswa melalui implementasi model problem-based learning berbass etnomatematika pada budaya tidayu. 12(1), 215–227. https://doi.org/10.24127/ajpm.v12i1.5297
Rahmadhani, E., Noviani, J., & Putri, H. (2024). The analysis of senior high school students’ mathematical literacy viewed from PISA problems. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 13(2), 586–599. https://doi.org/10.24127/ajpm.v13i2.8624
Reuter, F. (2023). Explorative Mathematical Argumentation: A Theoretical Framework for Identifying and Analysing Argumentation Processes in Early Mathematics Learning. Educational Studies in Mathematics, 112(3), 415–435. https://doi.org/10.1007/s10649-022-10199-5
Rivai, A., Lestari, A., Munir, N. P., & Anas, A. (2023). Students’ mathematical literacy in solving PISA problems observed by learning styles. Mathematics Education Journal, 17(1), 121–134. https://doi.org/10.22342/jpm.17.1.19905.121-134
Samosir, E., Makmuri, & Aziz, T. A. (2022). Kemampuan literasi matematika: kaitannya dengan kemampuan pemecahan masalah. Jurnal Riset Pendidikan Matematika Jakarta, 4(1), 60–72. https://doi.org/10.21009/jrpmj.v4i1.23026
Sheromova, T. S., Khuziakhmetov, A. N., Kazinets, V. A., Sizova, Z. M., Buslaev, S. I., & Borodianskaia, E. A. (2020). Learning styles and development of cognitive skills in mathematics learning. Eurasia Journal of Mathematics, Science and Technology Education, 16(11), 1–13. https://doi.org/10.29333/EJMSTE/8538
Simbolon, A., & Nurjanah. (2024). Measuring mathematical literacy skills of indonesian junior high school students in solving PISA-like problems. Jurnal Pendidikan MIPA, 25(3), 1259–1272. https://doi.org/10.23960/jpmipa/v25i3.pp1259-1272
Susanta, A., Sumardi, H., Susanto, E., & Retnawati, H. (2023). Mathematics literacy task on number pattern using Bengkulu context for junior high school students. Journal on Mathematics Education, 14(1), 85–102. https://doi.org/10.22342/JME.V14I1.PP85-102
Suwarno, Silvatama, M. A., Alvarez, J. I., & Murtafiah, W. (2024). Analogical reasoning of sensing and intuition personality student in solving proportion problem: two-variable into three-variable direct proportion word problem. Kreano, Jurnal Matematika Kreatif-Inovatif, 15(2), 423–437. https://doi.org/10.15294/tey38g29
Wheeler, P., Jessup, C., & Martinez, M. (2002). The keirsey temperament sorter: investigating the impact of personality traits in accounting. In Advances in Accounting Behavioral Research (Vol. 5). https://doi.org/10.1016/s1474-7979(02)05044-5
Zheng, Z. (2025). Theoretical insights and empirical findings on metacognition in translation : a review and conceptual framework. Discover Psychology, 5(174), 1–19. https://doi.org/https://doi.org/10.1007/s44202-025-00522-5
Zimmerman, B. J. (2008). Investigating self-regulation and motivation: Historical background, methodological developments, and future prospects. American Educational Research Journal, 45(1), 166–183. https://doi.org/10.3102/0002831207312909
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2026 Sinta Verawati Dewi, Rahma Wahyu, Rusdyi Habsyi

This work is licensed under a Creative Commons Attribution 4.0 International License.
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).

This work is licensed under a Creative Commons Attribution 4.0 International License.

