The Process of Mathematical Literacy in Middle School Students: Analyzing the Role of Mathematical Dispositions
Abstract
Abstract: Mathematical literacy extends beyond solving equations to applying mathematical concepts in everyday life. This study investigated the development of mathematical literacy and the challenges students face, analyzed through their mathematical dispositions. A qualitative case study methodology was employed, utilizing a PISA-equivalent test, a mathematical disposition questionnaire, and interviews. 40 7th-grade students were classified into high, moderate, and low disposition groups, with a detailed analysis of three representative students from each group. The Results indicated that students with high mathematical dispositions solved problems effectively, students could formulate the mathematical problem, apply mathematical concepts, and interpret real-world outcomes. Conversely, those with moderate and low dispositions struggled to apply relevant concepts and could only identify given information for problem-solving. These challenges are associated with a lack of understanding of fundamental concepts, particularly proportional reasoning. Factors such as motivation, interest, self-confidence, and attitudes toward mathematics significantly influence students' dispositions and their mathematical literacy skills.
Keywords: mathematical literacy, mathematical literacy process, mathematical disposition.
DOI: http://dx.doi.org/10.23960/jpmipa/v25i2.pp893-913
Full Text:
PDFReferences
Agusdianita, N., Karjiyati, V., & Sufiyandi. (2021). The use of ethnomathematics learning devices based on realistic mathematics education models on mathematics literacy mastery. https://doi.org/10.2991/assehr.k.210227.054
Akmal, R. A., Sarjana, K., Wulandari, N. P., & Soeprianto, H. (2022). Pengaruh disposisi matematis terhadap kemampuan penalaran matematis pada materi statistika siswa kelas VIII MTsN 3 Mataram Tahun Ajaran 2022/2023. Jurnal Ilmiah Profesi Pendidikan, 7(4b). https://doi.org/10.29303/jipp.v7i4b.904
Almarashdi, H. S., & Jarrah, A. M. (2023). Assessing tenth-grade students’ mathematical literacy skills in solving PISA Problems. Social Sciences, 12(1), 33. https://doi.org/10.3390/socsci12010033
Amany, D. A. L., Puteri, A. A. I., & Karim, S. (2023). Analysis of the relationship between student interest and written communication in solving realistic mathematics problems. Delta-Phi: Jurnal Pendidikan Matematika, 1(1), 15–19. https://doi.org/10.61650/dpjpm.v1i1.36
Bolstad, O. H. (2023). Lower secondary students’ encounters with mathematical literacy. Mathematics Education Research Journal, 35(1), 237–253. https://doi.org/10.1007/ s13394-021-00386-7
Budiyono. (2015). Pengantar penilaian hasil belajar [introduction to assessment of learning outcomes]. UNS Press.
Carter, N., Bryant-Lukosius, D., DiCenso, A., Blythe, J., & Neville, A. J. (2014). The use of triangulation in qualitative research. Oncology Nursing Forum, 41(5), 545–547. https://doi.org/10.1188/14.ONF.545-547
Creswell, J. W. (2017). Research design: qualitative, quantitative, and mixed methods approach (4th ed.). Sage.
Dağdelen, M., & Yıldız, A. (2022). The relationship between the secondary school 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
Davis, B., & Simmt, E. (2014). Complexity in mathematics education. in s. lerman (ed.), encyclopedia of mathematics education (pp. 87–91). Springer Netherlands. https://doi.org/10.1007/978-94-007-4978-8_28
Ding, Y. (2016). How do students’ mathematics self-efficacy, mathematics self-concept and mathematics anxiety influence mathematical literacy?—a comparison between Shanghai-China and Sweden in PISA 2012. http://hdl.handle.net/2077/44943
Duru, A., & Koklu, O. (2011). Middle school students’ reading comprehension of mathematical texts and algebraic equations. International Journal of Mathematical Education in Science and Technology, 42(4), 447–468. https://doi.org/ 10.1080/0020739X.2010.550938
Fang, Z., & Chapman, S. (2020). Disciplinary literacy in mathematics: One mathematician’s reading practices. The Journal of Mathematical Behavior, 59, 100799. https://doi.org/10.1016/j.jmathb.2020.100799
Farida, N. (2015). Analisis kesalahan siswa smp kelas viii dalam menyelesaikan masalah soal cerita matematika. AKSIOMA Journal of Mathematics Education, 4(2). https://doi.org/10.24127/ajpm.v4i2.306
Fauzana, R. (2019). Kemampuan literasi matematis dan disposisi matematis siswa sekolah menengah pertama melalui pembelajaran dengan pendekatan pendidikan matematika realistik [Doctoral Dissertation]. Universitas Pendidikan Indonesia.
Fery, M. F., Wahyudin, & Tatang, H. (2017). Improving primary students mathematical literacy through problem based learning and direct instruction. Educational Research and Reviews, 12(4), 212–219. https://doi.org/10.5897/ERR2016.3072
Harisman, Y., Mayani, D. E., Armiati, A., Syaputra, H., & Amiruddin, M. H. (2023). Analysis of student’s ability to solve mathematical literacy problems in junior high schools in the city area. Infinity Journal, 12(1), 55. https://doi.org/10.22460/ infinity.v12i1.p55-68
Harun, Sudaryanti, Jaedun, A., & Manaf, A. (2020). Dimensions of early childhood character education in facing industry revolution 4.0. Proceedings of the International Conference on Educational Research and Innovation (ICERI 2019). https://doi.org/10.2991/assehr.k.200204.003
Hutajulu, M., Wijaya, T. T., & Hidayat, W. (2019). The effect of mathematical disposition and learning motivation on problem solving: an analysis. Infinity Journal, 8(2), 229. https://doi.org/10.22460/infinity.v8i2.p229-238
Hwang, J., & Ham, Y. (2021). Relationship between mathematical literacy and opportunity to learn with different types of mathematical tasks. Journal on Mathematics Education, 12(2), 199–222. https://doi.org/10.22342/JME.12.2. 13625.199-222
Jablonka, E. (2003). Mathematical literacy. in second international handbook of mathematics education (pp. 75–102). Dordrecht: Kluwer Academic Publishers.
Jailani, J., Heri Retnawati, H. R., Wulandari, N. F., & Djidu, H. (2020). Mathematical literacy proficiency development based on content, context, and process. Problems of Education in the 21st Century, 78(1), 80–101. https://doi.org/10.33225/ pec/20.78.80
Julie, H., Sanjaya, F., & Anggoro, Ant. Y. (2017). The students’ ability in the mathematical literacy for uncertainty problems on the PISA adaptation test. 050026. https://doi.org/10.1063/1.4995153
Junianto, & Wijaya, A. (2019). Developing students’ mathematical literacy through problem based learning. Journal of Physics: Conference Series, 1320(1), 012035. https://doi.org/10.1088/1742-6596/1320/1/012035
Karaboğa, H. A., Akogul, S., & Demir, İ. (2022). Classification of students’ mathematical literacy score using educational data mining: PISA 2015 Turkey Application. Cumhuriyet Science Journal, 43(3), 543–549. https://doi.org/10.17776/csj.1136733
Kholid, M. N., Rofi’ah, F., Ishartono, N., Waluyo, M., Maharani, S., Swastika, A., Faiziyah, N., & Sari, C. K. (2022). What are students’ difficulties in implementing mathematical literacy skills for solving PISA-Like Problem? Journal of Higher Education Theory and Practice, 22(2), 181–200. https://doi.org/10.33423/ jhetp.v22i2.5057
Kilpatrick, J. (2001). Adding it up: helping children learn mathematics jeremy. in academic emergency medicine. National Academy Press. ftp://129.132.148.131/EMIS/journals/ZDM/zdm026r1.pdf
Lahinda, Y., & Jailani, J. (2015). Analisis proses pemecahan masalah matematika siswa sekolah menengah pertama. Jurnal Riset Pendidikan Matematika, 2(1), 148–161. https://doi.org/10.21831/jrpm.v2i1.7157
Lestari, S. D., Kartono, & Mulyono. (2019). Mathematical literacy ability and mathematical disposition on team assisted individualization learning with RME approach and recitation. Unnes Journal of Mathematics Education Research, 8(2), 2019–2157. http://journal.unnes.ac.id/sju/index.php/ujmer
Li, C. (2020). The core literacy of mathematics-the cultivation of mathematical operation ability. Lifelong Education, 9(7), 1. https://doi.org/10.18282/le.v9i7.1451
Lin, S.-W., & ChunTai, W. (2016). A Longitudinal study for types and changes of students’ mathematical disposition. Universal Journal of Educational Research, 4(8), 1903–1911. https://doi.org/10.13189/ujer.2016.040821
Magalhães, S., Carneiro, L., Limpo, T., & Filipe, M. (2020). Executive functions predict literacy and mathematics achievements: The unique contribution of cognitive flexibility in grades 2, 4, and 6. Child Neuropsychology, 26(7), 934–952. https://doi.org/10.1080/09297049.2020.1740188
Marks, G. N., & O’Connell, M. (2021). Inadequacies in the SES–Achievement model: Evidence from PISA and other studies. Review of Education, 9(3). https://doi.org/10.1002/rev3.3293
Maslihah, S., Waluya, S. B., Rochmad, Kartono, Karomah, N., & Iqbal, K. (2021). Increasing mathematical literacy ability and learning independence through problem-based learning model with realistic mathematic education approach. Journal of Physics: Conference Series, 1918(4), 042123. https://doi.org/10.1088/1742-6596/1918/4/042123
Mayratih, G. E., Leton, S. I., & Uskono, I. V. (2019). Pengaruh disposisi matematis terhadap kemampuan pemecahan masalah matematis siswa. Asimtot : Jurnal Kependidikan Matematika, 1(1), 41–49. https://doi.org/10.30822/asimtot.v1i1.97
McCabe, K. J. (2001). Mathematics in our schools: An effort to improve Mathematics Literacy. Quincy University.
McLeod, D. B. (1992). Research on affect in mathematics education: A reconceptualization. In Handbook of research on mathematics teaching and learning (pp. 575–596).
Meryansumayeka, M., Zulkardi, Z., Putri, R. I. I., & Hiltrimartin, C. (2021). Students’ strategies in solving PISA mathematical problems reviewed from problem-solving strategies. Jurnal Pendidikan Matematika, 15(1), 37–48. https://doi.org/10.22342/ jpm.15.1.10405.37-48
Molina-Muñoz, D., Contreras-García, J. M., & Molina-Portillo, E. (2023). Does the psychoemotional well-being of Spanish students influence their mathematical literacy? An evidence from PISA 2018. Frontiers in Psychology, 14. https://doi.org/10.3389/fpsyg.2023.1196529
Munafiah, S., Rochmad, R., & Dwijanto, D. (2021). Mathematical creative thinking ability in terms of mathematical disposition in creative problem solving learning with an open ended approach. Unnes Journal of Mathematics Education Research, 12(1), 30–37. http://journal.unnes.ac.id/sju/index.php/ujmer
NCTM. (1988). NCTM Curriculum and evaluation standards for school mathematics: responses from the research community. Journal for Research in Mathematics Education, 19(4), 338. https://doi.org/10.2307/749544
NCTM. (1991). NCTM professional standards for school mathematics. Reston, VA: NCTM.
Nisa, F. K., & Arliani, E. (2023). Junior high school students’ mathematical literacy in terms of mathematical self-efficacy. Jurnal Elemen, 9(1), 283–297. https://doi.org/10.29408/jel.v9i1.7140
Nurhanurawati, N., Caswita, C., Bharata, H., & Widyastuti, W. (2022). The analysis of junior high school students’ mathematical literacy: Field study in Bandar Lampung. Al-Jabar : Jurnal Pendidikan Matematika, 13(1), 199–209. https://doi.org/10.24042/ajpm.v13i1.11659
O’Connell, M. (2019). Is the impact of SES on educational performance overestimated? Evidence from the PISA survey. Intelligence, 75, 41–47. https://doi.org/10.1016/j.intell.2019.04.005
OECD. (2012). PISA 2012 Released Items.
OECD. (2013). PISA 2012 Assessment and analytical framework. OECD. https://doi.org/10.1787/9789264190511-en
OECD. (2019). Indonesia–Country Note–PISA 2018 results. https://www.oecd.org/content/dam/oecd/en/about/programmes/edu/pisa/publications/national-reports/pisa-2018/featured-country-specific-overviews/PISA2018_CN_IDN.pdf
OECD. (2023). PISA 2022 released main survey new mathematics items. OECD Programme for International Student Assessment 2022, June, 53.
Ojose, B. (2011). Mathematics literacy : are we able to put the mathematics we learn into everyday use? Journal of Mathematics Education, 4(1), 89–100.
Ozkale, A., & Ozdemir Erdogan, E. (2022). An analysis of the interaction between mathematical literacy and financial literacy in PISA*. International Journal of Mathematical Education in Science and Technology, 53(8), 1983–2003. https://doi.org/10.1080/0020739X.2020.1842526
Perry, L. B., & Mcconney, A. (2010). Does the SES of the school matter? an examination of socioeconomic status and student achievement using PISA 2003. Teachers College Record: The Voice of Scholarship in Education, 112(4), 1137–1162. https://doi.org/10.1177/016146811011200401
Polya, G. (1988). How to solve it. Princeton University Press, New Jersey, NJ.
Priyonggo, H. W., Wardono, W., & Asih, T. S. N. (2021). Mathematics literacy skill on problem based learning assisted by e-module agito based on learning motivation. Unnes Journal of Mathematics Education Research, 10(1), 54–58. http://journal.unnes.ac.id/sju/index.php/ujmer
Rahmanuri, A., Winarni, R., & Surya, A. (2023). Faktor-faktor yang memengaruhi literasi matematika: systematic literature review. Didaktika Dwija Indria, 11(6), 1. https://doi.org/10.20961/ddi.v11i6.78579
Rahmawati, W. A., Usodo, B., & Fitriana, L. (2021). Mathematical literacy of students who have high mathematical disposition in solving PISA-Like Mathematics Problems. https://doi.org/10.2991/assehr.k.211122.039
Reys, R., Lindquist, M. M., Lambdin, D. V, & Smith, N. L. (2008). Helping children learn mathematics (9th ed.). Wiley.
Rizki, N., Laila, A. R. N., Inganah, S., & Darmayanti, R. (2022). Analysis of mathematic connection ability in mathematics problem solving reviewed from student’s self-confidence. Seminar Nasional Teknologi Pembelajaran, 111–126.
Royster, D. C., Kim Harris, M., & Schoeps, N. (1999). Dispositions of college mathematics students. International Journal of Mathematical Education in Science and Technology, 30(3), 317–333. https://doi.org/10.1080/002073999287851
Salistia, Nadhifah Rahmawati, Wi., Karimah, N. I., & Raharjo, J. F. (2024). Analysis of mathematical literacy ability given students’ mathematical disposition. 4(1), 586–600.
Sari, F. A., Yandari, I. A. V, & Fakhrudin. (2017). The application of problem based learning model to improve mathematical literacy skill and the independent learning of student. Journal of Physics: Conference Series, 812, 012013. https://doi.org/10.1088/1742-6596/812/1/012013
Satriani, D., Yuhana, Y., & Khaerunnisa, E. (2023). Analisis kemampuan literasi matematika dalam menyelesaikan soal setipe PISA ditinjau dari disposisi matematis siswa. Buana Matematika : Jurnal Ilmiah Matematika Dan Pendidikan Matematika, 13(2), 149–168. https://doi.org/10.36456/buanamatematika. v13i2.7215
Schoenfeld, A. H. (2020). Mathematical practices, in theory and practice. ZDM, 52(6), 1163–1175. https://doi.org/10.1007/s11858-020-01162-w
Setiyani, S., Waluya, S. B., Sukestiyarno, Y. L., & Cahyono, A. N. (2022). Mathematical reflective thinking process of prospective elementary teachers review from the disposition in numerical literacy problems. International Journal of Educational Methodology, 8(3), 405–420. https://doi.org/10.12973/ijem.8.3.405
Sikko, S. A. (2022). What can we learn from the different understandings of mathematical literacy? Numeracy, 16(1). https://doi.org/10.5038/1936-4660.16.1.1410
Sitopu, J. W., Khairani, M., Roza, M., Judijanto, L., & Aslan. (2024). The importance of integrating mathematical literacy in the primary education curriculum : a literature review. Journal of Information Systems and Management (JISMA), 2(1), 121–134.
Sulasdini, S., & Himmah, W. I. (2021). Profil kemampuan literasi matematika ditinjau dari disposisi matematis siswa. Jurnal Ilmiah Pendidikan AL QALASADI, 5(2), 189–199.
Wahyuningrum, A. S., Suryadi, D., & Turmudi, T. (2019). Learning obstacles among indonesian eighth graders on ratio and proportion. Journal of Physics: Conference Series, 1320(1), 012046. https://doi.org/10.1088/1742-6596/1320/1/012046
Wedege, T. (2010). Ethnomathematics and mathematical literacy : People knowing mathematics in society. MADIF 7. The Seventh Mathematics Education Research Seminar, 2010(7), 31–46.
Yang, Z., Wen, H., & Bai, Y. (2021). Reading literacy, scientific literacy and mathematical literacy’s influence on students’ academic achievements. Journal of Higher Education Research, 2(6). https://doi.org/10.32629/jher.v2i6.575
Yuliana, Y., Usodo, B., & Riyadi, R. (2022). The new way improve mathematical literacy in elementary school: ethnomathematics module with realistic mathematics education. AL-ISHLAH: Jurnal Pendidikan, 15(1), 33–44. https://doi.org/ 10.35445/alishlah.v15i1.2591
Refbacks
- There are currently no refbacks.
Copyright (c) 2024 Jurnal Pendidikan MIPA
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
The copyright is reserved to The Jurnal Pendidikan MIPA that is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.