DOI of the published article https://doi.org/10.22460/infinity.v13i1.p157-174
Elementary School Students’ Layers of Understanding in Solving Literacy Problems Based on Sidoarjo Context
Lapisan Pemahaman Siswa Sekolah Dasar dalam Menyelesaikan Masalah Literasi Berdasarkan Konteks Sidoarjo
DOI:
https://doi.org/10.21070/ups.3977Keywords:
Pirie-Kieren Theory, Math Literacy, Layers of Understanding, Sidoarjo ContextAbstract
Elementary school students' difficulties in solving literacy problems are caused by students' lack of understanding of mathematical concepts. Using a specific regional context in literacy problems is important to analyze layers of understanding elementary school more deeply. Based on Pirie-Kieren theory, the study aims to analyze layers of understanding elementary school students in solving literacy problems in the context of Sidoarjo. A qualitative approach with a case study type was used as the research method. The research participants were 26 fifth-grade elementary school students. The determination of the research subjects was done by purposive technique. The results show that the layers of understanding of elementary school students are at the highest, namely observing. Future research recommendations suggested using the regional context as a background for literacy problems in learning or problem-solving; this is needed to explore and develop layers of understanding to a higher level.
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References
M. Holenstein, G. Bruckmaier, and A. Grob, ‘Transfer effects of mathematical literacy: An integrative longitudinal study’, Eur. J. Psychol. Educ., vol. 36, no. 3, pp. 799–825, 2021, doi: 10.1007/s10212-020-00491-4.
OECD, PISA 2018 results (Volume I): what students know and can do., vol. I. Paris: OECD Publishing, 2019.
D. A. Wagner, ‘What Happened to literacy? historical and conceptual perspectives on literacy in UNESCO’, Int. J. Educ. Dev., vol. 31, no. 3, pp. 319–323, 2011, doi: 10.1016/j.ijedudev.2010.11.015.
D. Kusuma, Y. L. Sukestiyarno, Wardono, and A. N. Cahyono, ‘The characteristics of mathematical literacy based on students’ executive function’, Eur. J. Educ. Res., vol. 12, no. 2, pp. 749–758, 2023, doi: https://doi.org/10.12973/eu-jer.11.1.193.
M. Genc and A. K. Erbas, ‘Secondary mathematics teachers’ conceptions of mathematical literacy’, Int. J. Educ. Math. Sci. Technol., vol. 7, no. 3, pp. 222–237, 2019.
K. Stacey and R. Turner, Assessing Mathematical Literacy: The PISA Experience. 2015. doi: 10.1007/978-3-319-10121-7.
H. C. Celik, ‘Investigating the visual mathematics literacy self-efficacy (VMLSE) perceptions of eighth grade Students and their views on this issue’, Int. J. Educ. Methodol., vol. 5, no. 1, pp. 165–176, 2019, doi: 10.12973/ijem.5.1.177.
V. M. Kolar and T. Hodnik, ‘Mathematical literacy from the perspective of solving contextual problems’, Eur. J. Educ. Res., vol. 10, no. 1, pp. 467–483, 2021, doi: 10.12973/EU-JER.10.1.467.
J. Baumert, G. Nagy, and R. Lehmann, ‘Cumulative advantages and the emergence of social and ethnic inequality: Matthew effects in reading and mathematics development within elementary schools?’, Child Dev., vol. 83, no. 4, pp. 1347–1367, 2012, doi: 10.1111/j.1467-8624.2012.01779.x.
NCTM, Principles and standards for school mathematics. NCTM, 2000.
V. Berisha and R. Bytyqi, ‘Types of mathematical tasks used in secondary classroom instruction’, Int. J. Eval. Res. Educ., vol. 9, no. 3, pp. 751–758, 2020, doi: 10.11591/ijere.v9i3.20617.
J. S. Clair, ‘Using cartoons to make connections and enrich mathematics’, Proc. Interdiscip. STEM Teach. Learn. Conf., vol. 2, no. 1, 2018, doi: 10.20429/stem.2018.020112.
K. Yaro, E. Amoah, and D. Wagner, ‘Situated perspectives on creating mathematics tasks for peace and sustainability’, Can. J. Sci. Math. Technol. Educ., vol. 20, 2020, doi: https://doi.org/10.1007/s42330-020-00083-w Situated.
U. Umbara and D. Suryadi, ‘Re-Interpretation of mathematical literacy based on the teacher’s perspective’, Int. J. Instr., vol. 12, no. 4, pp. 789–806, 2019, doi: 10.29333/iji.2019.12450a.
S. Rahayuningsih, C. Sa’dijah, Sukoriyanto, and A. Qohar, ‘Exploring students’ understanding layers in solving arithmagon problems’, Cakrawala Pendidik., vol. 41, no. 1, pp. 170–185, 2022, doi: 10.21831/cp.v41i1.43943.
S. Pirie and T. Kieren, ‘Growth in mathematical understanding: How can we characterise it and how can We represent it?’, Educ. Stud. Math., vol. 26, no. 2–3, pp. 165–190, 1994, doi: 10.1007/BF01273662.
S. Suindayati, D. S. Nur Afifah, and I. Sukwatus Suja’i, ‘Teori pirie-kieren: Lapisan pemahaman siswa SMP berkemampuan matematika tinggi dalam menyelesaikan soal bangun ruang’, MaPan, vol. 7, no. 2, pp. 211–228, 2019, doi: 10.24252/mapan.2019v7n2a4.
L. C. Martin, ‘Folding back and the dynamical growth of mathematical understanding: Elaborating the pirie-kieren theory’, J. Math. Behav., vol. 27, no. 1, pp. 64–85, 2008, doi: 10.1016/j.jmathb.2008.04.001.
A. Efriani, R. I. I. Putri, and Hapizah, ‘Sailing context in PISA-like mathematics problems’, J. Math. Educ., vol. 10, no. 2, pp. 265–276, 2019, doi: 10.22342/jme.10.2.5245.265-276.
M. N. Kholid and M. Nissa, ‘Students’ math literacy in solving PISA-like problems in papuan local context’, AL-ISHLAH J. Pendidik., vol. 14, no. 4, pp. 5645–5656, 2022, doi: 10.35445/alishlah.v14i4.2258.
A. Susanta, H. Sumardi, E. Susanto, and H. Retnawati, ‘Mathematics Literacy Task on Number Pattern Using Bengkulu Context for Junior High School Students’, J. Math. Educ., vol. 14, no. 1, pp. 85–102, 2023, doi: 10.22342/JME.V14I1.PP85-102.
E. Rojas and N. Benakli, Mathematical literacy and critical thinking, vol. 78, no. 1. 2020. doi: https://doi.org/10.1007/978-3-030-39804-0_8.
R. Rusdiana, A. F. Samsuddin, A. Muhtadin, and P. Fendiyanto, ‘Development of mathematical literacy problems using east kalimantan context’, J. Cendekia J. Pendidik. Mat., vol. 7, no. 1, pp. 197–210, 2023, doi: 10.31004/cendekia.v7i1.1885.
J. Trineke Manoy and M. Purbaningrum, ‘Mathematical literacy based on ethnomathematics of batik Sidoarjo’, J. Didakt. Mat., vol. 8, no. 2, pp. 160–174, 2021, doi: 10.24815/jdm.v8i2.21644.
J. W. Creswell, Educational Research: Planning, conducting and evaluating quantitative and qualitative research. America: Edwards Brothers, Inc., 2012.
M.J. Chen, C.-Y. Lee, and W.-C. Hsu, ‘Influence of mathematical representation and mathematics self-efficacy on the learning effectiveness of fifth graders in pattern reasoning’, Int. J. Learn. Teach. Educ. Res., vol. 13, no. 1, pp. 1–16, 2015, [Online]. Available: http://ijlter.org/index.php/ijlter/article/view/277
B. Brezovszky et al., ‘Effects of a mathematics game-based learning environment on primary school students’ adaptive number knowledge’, Comput. Educ., vol. 128, pp. 63–74, 2019, doi: 10.1016/j.compedu.2018.09.011.
R. A. Apsari, R. I. I. Putri, Sariyasa, M. Abels, and S. Prayitno, ‘Geometry representation to develop algebraic thinking: A recommendation for a pattern investigation in pre-algebra class’, J. Math. Educ., vol. 11, no. 1, pp. 45–58, 2020, doi: 10.22342/jme.11.1.9535.45-58.
X. Yao and A. Manouchehri, ‘Folding back in students’ construction of mathematical generalizations within a dynamic geometry environment’, Math. Educ. Res. J., vol. 34, no. 2, pp. 241–268, 2022, doi: 10.1007/s13394-020-00343-w.
L. George and C. Voutsina, Children engaging with partitive quotient tasks: Elucidating qualitative heterogeneity within the image having layer of the pirie–kieren model: Children’s images pirie–kieren model, no. 0123456789. Springer Netherlands, 2023. doi: 10.1007/s13394-023-00461-1.
H. Gulkilik, ‘The role of virtual manipulatives in high school students’ understanding of geometric transformations’, Math. Educ. Digit. Era, vol. 07, pp. 213–243, 2016, doi: 10.1007/978-3-319-32718-1_10.
P. Güner and T. Uygun, ‘Examining students’ mathematical understanding of patterns by pirie-kieren model’, Hacettepe Egit. Derg., vol. 35, no. 3, pp. 644–661, 2020, doi: 10.16986/HUJE.2019056035.
H. Gülkılıka, H. H. Uğurlu, and N. Yürükc, ‘Examining students’ mathematical understanding of geometric transformations using the pirie-kieren model’, Kuram ve Uygulamada Egit. Bilim., vol. 15, no. 6, pp. 1531–1548, 2015, doi: 10.12738/estp.2015.6.0056.
J. Arenas-Peñaloza Andres and F. Rodríguez-Vásquez Monserrat, ‘Understanding ratio through the pirie-kieren model’, Acta Sci., vol. 24, no. 4, pp. 24–55, 2022, doi: 10.17648/acta.scientiae.6826.
Y. A. Ayu, Y. Kurniati, A. Fauziah, and R. A. Kurnia, ‘Analisis kemampuan komunikasi matematis siswa sekolah dasar dalam menyelesaikan soal cerita menerapkan teori pirie kieren’, … Sci. Educ. J., vol. 2, no. 2, pp. 90–99, 2021, doi: http://dx.doi.org/10.24127/ajpm.v4i2.306.
N. A. E. Pratama, ‘Perkembangan pemahaman matematis siswa sekolah dasar kelas V berdasarkan teori pirie-kieren pada topik pecahan’, Sekol. Dasar Kaji. Teor. dan Prakt. Pendidik., vol. 26, no. 1, pp. 77–88, 2017, doi: 10.17977/um009v26i12017p077.
K. Yasukawa, A. Rogers, K. Jackson, and B. V. Street, Numeracy as social practice: Global and local perspectives (1st ed.). Routledge, 2018. doi: https://doi.org/10.4324/9781315269474.
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