Literasi matematis dan self-efficacy siswa ditinjau dari perbedaan kebijakan sistem zonasi

Ahmad Muhazir; Kana Hidayati; Heri Retnawati

doi:10.21831/pg.v15i2.36255

Literasi matematis dan self-efficacy siswa ditinjau dari perbedaan kebijakan sistem zonasi

Ahmad Muhazir, Master Program in Mathematics Education, Universitas Negeri Yogyakarta, Indonesia
Kana Hidayati, Department of Mathematics Education, Universitas Negeri Yogyakarta, Indonesia
Heri Retnawati, Department of Mathematics Education, Universitas Negeri Yogyakarta, Indonesia

10.21831/pg.v15i2.36255

Abstract

Penelitian ini bertujuan untuk (1) mendeskripsikan kemampuan literasi matematis dan self-efficacy siswa kelas XI SMA; (2) mendeskripsikan dampak perbedaan kebijakan sistem zonasi terhadap kemampuan literasi matematis dan self-efficacy siswa kelas XI SMA; dan (3) mendeskripsikan hubungan antara literasi matematis dan self-efficacy siswa kelas XI SMA. Penelitian survei ini melibatkan 346 siswa dari Kota Banjarmasin dan 321 siswa dari Kota Palangka Raya. Kedua kota tersebut memiliki kebijakan zonasi yang berbeda. Pengumpulan data dilakukan melalui tes dan angket yang telah memenuhi kriteria valid dan reliabel. Teknik analisis data yang digunakan adalah statistik deskriptif dan inferensial. Hasil penelitian menunjukkan bahwa literasi matematis siswa di Kota Banjarmasin dan Kota Palangka Raya berada pada kategori rendah, sedangkan self-efficacy siswa pada kedua kota berada pada kategori sedang. Tidak terdapat perbedaan yang bermakna pada rata-rata literasi matematis antara siswa di Kota Banjarmasin dan Palangka Raya. Namun demikian, terdapat perbedaan yang bermakna pada rata-rata self-efficacy antara siswa di Kota Banjarmasin dan Palangka Raya. Kebijakan zonasi di Kota Palangka Raya menyebabkan perbedaan rata-rata literasi matematis siswa pada sekolah kategori tinggi, sedang, dan rendah. Sedangkan kebijakan zonasi di Kota Banjarmasin menyebabkan perbedaan rata-rata self-efficacy siswa pada sekolah kategori tinggi, sedang, dan rendah. Terakhir, terdapat korelasi positif yang signifikan (meskipun lemah) antara literasi matematis dan self-efficacy siswa kelas XI SMA di Kota Banjarmasin dan Kota Palangka Raya (r = 0,194).

Mathematical literacy and self-efficacy of students in terms of differences in zoning system policies.

Abstract

This study aimed to (1) describe the mathematical literacy abilities and self-efficacy of eleventh-grade senior high school students; (2) describe the impact of differences in zoning system policies on the mathematical literacy and self-efficacy of eleventh-grade senior high school students; and (3) describe the relationship between mathematical literacy and self-efficacy of eleventh-grade senior high school students. This survey involved 346 students from Banjarmasin City and 321 students from Palangka Raya City, Indonesia. The two cities have different zoning policies. The data was collected through tests and questionnaires that met the valid and reliable criteria. The data analysis technique used was descriptive and inferential statistics. The results showed that students’ mathematical literacy in Banjarmasin and Palangka Raya City was in a low category, while self-efficacy in both cities was in the medium category. There was no significant difference in the mean of mathematical literacy of students in Banjarmasin and Palangka Raya City. However, there was a significant difference in the mean of self-efficacy of students in Banjarmasin and Palangka Raya City. The zoning policy in Palangka Raya City causes differences in the mean of mathematical literacy of students in high, moderate, and low category schools. In contrast, the zoning policy in Banjarmasin City causes differences in the mean of self-efficacy of students in high, medium, and low category schools. Lastly, there was a significant positive correlation (although weak) between mathematical literacy and self-efficacy of eleventh-grade senior high school students in Banjarmasin and Palangka Raya City (r = 0.194).

Keywords

Kebijakan sistem zonasi; iterasi matematika; mathematical literacy; self-efficacy

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References

Aditomo, A., & Felicia, N. (2018). Ketimpangan mutu dan akses pendidikan di Indonesia: Potret berdasarkan survei PISA 2015. In C. C. A. Putri (Ed.), Kilas pendidikan (17th ed., pp. 1–8). Pusat Studi Pendidikan dan Kebijakan. https://doi.org/10.31227/osf.io/k76g3

Ahmad, S. R. S. (2016). Pengaruh math phobia, self-efficacy, adversity quotient dan motivasi berprestasi terhadap prestasi belajar matematika siswa SMP. Jurnal Riset Pendidikan Matematika, 3(2), 259–272. https://doi.org/10.21831/jrpm.v3i2.6138

Ajisuksmo, C. R. P., & Surya, D. T. (2019). Efikasi diri dan strategi motivasi sebagai prediktor prestasi akademis siswa dari keluarga nelayan tradisional. Jurnal Pendidikan dan Kebudayaan, 4(1), 72–85. https://doi.org/10.24832/jpnk.v4i1.1232

Asrijanty, A. (2019). Hubungan akreditasi sekolah, hasil ujian nasional, dan indeks integritas ujian nasional. Jurnal Pendidikan dan Kebudayaan, 4(1), 1–14. https://doi.org/10.24832/jpnk.v4i1.732

Badan Standar Nasional Pendidikan. (2018). Buku saku ujian nasional 2019. Kemdikbud. https://bsnp-indonesia.org/wp-content/uploads/2019/03/19_02_19-Buku-Saku-UN-2019-revisi-BS-20-Feb-1.pdf

Bandura, A. (Ed.). (1995). Self-efficacy in changing societies. Cambridge University Press.

Bandura, A. (1997). Self-efficacy: The exercise of control. Worth Publishers.

Carmichael, C., Callingham, R., Hay, I., & Watson, J. (2010). Statistical literacy in the middle school: The relationship between interest, self-efficacy and prior mathematics achievement. Australian Journal of Educational & Developmental Psychology, 10(1), 83–93. https://files.eric.ed.gov/fulltext/EJ895558.pdf

Cheema, J. R., & Skultety, L. S. (2016). Self-efficacy and literacy: A paired difference approach to estimation of over-/under-confidence in mathematics- and science-related tasks. Educational Psychology, 37(6), 652–665. https://doi.org/10.1080/01443410.2015.1127329

Cohen, L., Manion, L., & Morrison, K. (2007). Research methods in education (6th ed.). Routledge.

Dinas Pendidikan dan Kebudayaan Pemerintah Provinsi Kalimantan Selatan. (2019). Pengumuman penerimaan peserta didik baru (PPDB) tahun pelajaran 2019/2020. https://arsip.siap-ppdb.com/2019/berkas/kalsel/juknis.190629073102.pdf

Dinas Pendidikan Pemerintah Provinsi Kalimantan Tengah. (2019). Pedoman pelaksanaan penerimaan peserta didik baru (PPDB) SMA, SMK, dan SLB Provinsi Kalimantan Tengah tahun pelajaran 2019/2020. https://arsip.siap-ppdb.com/2019/berkas/kalteng/juknis.190603131336.pdf

Ebel, R. L., & Frisbie, D. A. (1991). Essentials of educational measurement (5th ed.). Prentice-Hall.

Edo, S. I., Putri, R. I. I., & Hartono, Y. (2013). Investigating secondary school students’ difficulties in modeling problems PISA-model level 5 and 6. Journal on Mathematics Education, 4(1), 41–58. https://doi.org/10.22342/jme.4.1.561.41-58

Firman, H. (2016). Diagnosing weaknesses of Indonesian students’ learning. In L. M. Thien, N. A. Razak, J. P. Keeves, & I. G. N. Darmawan (Eds.), What can PISA 2012 data tell us? (pp. 63–80). Sense Publishers. https://doi.org/10.1007/978-94-6300-468-8_5

Gao, J. (2020). Sources of mathematics self-efficacy in Chinese students: A mixed-method study with Q-sorting procedure. International Journal of Science and Mathematics Education, 18(4), 713–732. https://doi.org/10.1007/s10763-019-09984-1

Gibson, J. L., Ivancevich, J. M., Donnelly, J. H., & Konopaske, R. (2011). Organizations: Behavior, structure, processes (14th ed.). McGraw-Hill Education.

Gravemeijer, K., Stephan, M., Julie, C., Lin, F. L., & Ohtani, M. (2017). What mathematics education may prepare students for the society of the future? International Journal of Science and Mathematics Education, 15(1), 105–123. https://doi.org/10.1007/s10763-017-9814-6

Gubernur Kalimantan Tengah. (2020). Pedoman pelaksanaan penerimaan peserta didik baru (PPDB) SMA, SMK, dan SLB Provinsi Kalimantan Tengah tahun pelajaran 2020/2021. https://berkas.siap-ppdb.com/kalteng/juknis.200605003152.pdf

Hadiat, H. L., & Karyati, K. (2019). Hubungan kemampuan koneksi matematika, rasa ingin tahu dan self-efficacy dengan kemampuan penalaran matematika. Jurnal Riset Pendidikan Matematika, 6(2), 200¬–210. https://doi.org/10.21831/jrpm.v6i2.26552

Hamidy, A., & Jailani, J. (2019). Kemampuan proses matematis siswa Kalimantan Timur dalam menyelesaikan soal matematika model PISA. Jurnal Riset Pendidikan Matematika, 6(2), 133–149. https://doi.org/10.21831/jrpm.v6i2.26679

Hemmings, B., Grootenboer, P., & Kay, R. (2011). Predicting mathematics achievement: The influence of prior achievement and attitudes. International Journal of Science and Mathematics Education, 9(3), 691–705. https://doi.org/10.1007/s10763-010-9224-5

Hoyles, C., Noss, R., Kent, P., & Bakker, A. (2010). Improving mathematics at work: The need for techno-mathematical literacies (1st ed.). Routledge. https://doi.org/10.4324/9780203854655

Huang, X., Zhang, J., & Hudson, L. (2019). Impact of math self-efficacy, math anxiety, and growth mindset on math and science career interest for middle school students: The gender moderating effect. European Journal of Psychology of Education, 34(3), 621–640. https://doi.org/10.1007/s10212-018-0403-z

Jerrim, J. (2015). Why do East Asian children perform so well in PISA? An investigation of Western-born children of East Asian descent. Oxford Review of Education, 41(3), 310–333. https://doi.org/10.1080/03054985.2015.1028525

Kemendikbud. (n.d.). Direktorat jendral pendidikan anak usia dini, pendidikan dasar dan pendidikan menengah: Data pokok pendidikan. https://dapo.kemdikbud.go.id/

Kemendikbud. (2018). Sistem zonasi mempercepat pemerataan di sektor pendidikan. https://www.kemdikbud.go.id/main/blog/2018/06/kemendikbud-sistem-zonasi-mempercepat-pemerataan-di-sektor-pendidikan

Kemendikbud. (2019). Peraturan Menteri Pendidikan dan Kebudayaan Republik Indonesia nomor 20 tahun 2019 tentang perubahan atas peraturan Menteri Pendidikan dan Kebudayaan Republik Indonesia nomor 51 tahun 2018 tentang penerimaan peserta didik baru pada taman kanak-kanak, sekolah dasar, sekolah menengah pertama, sekolah menengah atas, dan sekolah menengah kejuruan. https://jdih.kemdikbud.go.id/arsip/Permendikbud Nomor 20 Tahun 2019.pdf

Krejcie, R. V, & Morgan, D. W. (1970). Determining sample size for research activities. Educational and Psychological Measurement, 30(3), 607–610. https://doi.org/10.1177/001316447003000308

Kriegbaum, K., Jansen, M., & Spinath, B. (2015). Motivation: A predictor of PISA’s mathematical competence beyond intelligence and prior test achievement. Learning and Individual Differences, 43, 140–148. https://doi.org/10.1016/j.lindif.2015.08.026

Maass, K., Geiger, V., Ariza, M. R., & Goos, M. (2019). The role of mathematics in interdisciplinary STEM education. ZDM - Mathematics Education, 51(6) 869–884. https://doi.org/10.1007/s11858-019-01100-5

Mahdiansyah, M., & Rahmawati, R. (2014). Literasi matematika siswa pendidikan menengah: Analisis menggunakan desain tes internasional dengan konteks Indonesia. Jurnal Pendidikan dan Kebudayaan, 20(4), 452–469. https://doi.org/10.24832/jpnk.v20i4.158

Manganelli, S., Cavicchiolo, E., Mallia, L., Biasi, V., Lucidi, F., & Alivernini, F. (2019). The interplay between self-determined motivation, self-regulated cognitive strategies, and prior achievement in predicting academic performance. Educational Psychology, 39(4), 470–488. https://doi.org/10.1080/01443410.2019.1572104

McCoach, D. B., Gable, R. K., & Madura, J. P. (2013). Instrument development in the affective domain: School and corporate applications (3rd ed.). Springer. https://doi.org/10.1007/978-1-4614-7135-6

McCulloch, G. (1991). School zoning, equity and freedom: The case of New Zealand. Journal of Education Policy, 6(2), 155–168. https://doi.org/10.1080/0268093910060204

Moretti, G. A. S., & Frandell, T. (2013). Literacy from a right to education perspective. UNESCO. https://www.right-to-education.org/sites/right-to-education.org/files/resource-attachments/UNESCO_Literacy_from_a_right_to_education_perspective_2013_En.pdf

Nizar, H., Putri, R. I. I., & Zulkardi, Z. (2018). Developing PISA-like mathematics problem using the 2018 Asian games football and table tennis context. Journal on Mathematics Education, 9(2), 183–194. https://doi.org/10.22342/jme.9.2.5246.183-194

Novferma, N. (2016). Analisis kesulitan dan self-efficacy siswa SMP dalam pemecahan masalah matematika berbentuk soal cerita. Jurnal Riset Pendidikan Matematika, 3(1), 76–87. https://doi.org/10.21831/jrpm.v3i1.10403

OECD. (2000). Measuring student knowledge and skills: The PISA 2000 assessment of reading, mathematical and scientific literacy. OECD Publishing. https://doi.org/10.1787/9789264181564-en

OECD. (2013). PISA 2012 Assessment and analytical framework: Mathematics, reading, science, problem solving and financial literacy. OECD Publishing. https://doi.org/10.1787/9789264190511-en

OECD. (2014). PISA 2012 results: What students know and can do (volume I, revised edition, February 2014): Student performance in mathematics, reading and science. OECD Publishing. https://doi.org/10.1787/9789264208780-en

OECD. (2016a). Low-performing students: Why they fall behind and how to help them succeed. OECD Publishing. https://doi.org/10.1787/9789264250246-en

OECD. (2016b). Country note – Results from PISA 2015: Indonesia. OECD Publishing. https://www.oecd.org/pisa/PISA-2015-Indonesia.pdf

OECD. (2018a). PISA 2021 mathematics framework (second draft). OECD Publishing. https://pisa2021-maths.oecd.org/files/PISA 2021 Mathematics Framework Draft.pdf

OECD. (2018b). The future of education and skills: Education 2030. OECD Publishing. https://www.oecd.org/education/2030/E2030%20Position%20Paper%20(05.04.2018).pdf

OECD. (2019a). Country note – Results from PISA 2018: Indonesia. OECD Publishing. http://www.oecd.org/pisa/publications/PISA2018_CN_IDN.pdf

OECD. (2019b). OECD multilingual summaries PISA 2018 results (volume I) what students know and can do: Summary in Indonesian. OECD Publishing. https://read.oecd.org/10.1787/694c168b-id?format=pdf

OECD. (2019c). PISA 2018 assessment and analytical framework. OECD Publishing. https://doi.org/https://doi.org/10.1787/b25efab8-en

OECD. (2019d). PISA 2018 results (volume I): What students know and can do. OECD Publishing. https://doi.org/10.1787/5f07c754-en

OECD & UNESCO Institute for Statistics. (2003). Literacy skills for the world of tomorrow: Further results from PISA 2000. OECD Publishing. https://doi.org/10.1787/9789264102873-en

Opertti, R. (2017). 15 clues to support the education 2030 agenda. In R. Opertti, G. Magni, I. Siakalli, & H. Kang (Eds.), Current and critical issues in curriculum, learning and assessment. IBE UNESCO International Bureau of Education. https://unesdoc.unesco.org/ark:/48223/pf0000259069

Pajares, F. (2002). Gender and perceived self-efficacy in self-regulated learning. Theory into Practice, 41(2), 116–125. https://doi.org/10.1207/s15430421tip4102_8

Pajares, F. (2005). Gender differences in mathematics self-efficacy beliefs. In A. M. Gallagher & J. C. Kaufman (Eds.), Mind the gap: Gender differences in mathematics (pp. 294–315). Cambridge University Press. https://doi.org/10.1017/CBO9780511614446.015

Pakpahan, R. (2016). Faktor-faktor yang memengaruhi capaian literasi matematika siswa Indonesia dalam PISA 2012. Jurnal Pendidikan dan Kebudayaan, 1(3), 331–348. https://doi.org/10.24832/jpnk.v1i3.496

Papanastasiou, C. (2000). Internal and external factors affecting achievement in mathematics: Some findings from TIMSS. Studies in Educational Evaluation, 26(1), 1–7. https://doi.org/10.1016/S0191-491X(00)00002-X

Phan, H. P. (2012). Informational sources, self-efficacy and achievement: A temporally displaced approach. Educational Psychology, 32(6), 699–726. https://doi.org/10.1080/01443410.2012.708320

Pietsch, J., Walker, R., & Chapman, E. (2003). The relationship among self-concept, self-efficacy, and performance in mathematics during secondary school. Journal of Educational Psychology, 95(3), 589–603. https://doi.org/10.1037/0022-0663.95.3.589

Pratiwi, I. (2019). Efek program PISA terhadap kurikulum di Indonesia. Jurnal Pendidikan dan Kebudayaan, 4(1), 51–71. https://doi.org/10.24832/jpnk.v4i1.1157

Puspendik. (2019). Laporan hasil ujian nasional: Penguasaan materi ujian nasional. Kementerian Pendidikan dan Kebudayaan. https://hasilun.puspendik.kemdikbud.go.id/

Putarek, V., & Pavlin-Bernardic, N. (2020). The role of self-efficacy for self-regulated learning, achievement goals, and engagement in academic cheating. European Journal of Psychology of Education, 35, 647–671. https://doi.org/10.1007/s10212-019-00443-7

Rautalin, M., Alasuutari, P., & Vento, E. (2019). Globalisation of education policies: Does PISA have an effect? Journal of Education Policy, 34(4), 500–522. https://doi.org/10.1080/02680939.2018.1462890

Retnawati, H., & Wulandari, N. F. (2019). The development of students’ mathematical literacy proficiency. Problems of Education in the 21st Century, 77(4), 502–514. https://doi.org/10.33225/pec/19.77.502

Rifai, R., & Wutsqa, D. U. (2017). Kemampuan literasi matematika siswa SMP negeri se-Kabupaten Bantul. Jurnal Pendidikan Matematika dan Sains, 5(2), 152–162. https://doi.org/10.21831/jpms.v5i2.15747

Samsuddin, A. F. (2019). Kemampuan literasi matematika dan self-efficacy siswa SMP negeri di kota Makassar. [Master’s thesis, Universitas Negeri Yogyakarta]. http://eprints.uny.ac.id/66196/

Sari, R. H. N., & Wijaya, A. (2017). Mathematical literacy of senior high school students in Yogyakarta. Jurnal Riset Pendidikan Matematika, 4(1), 100–107. https://doi.org/10.21831/jrpm.v4i1.10649

Schleicher, A. (2007). Can competencies assessed by PISA be considered the fundamental school knowledge 15-year-olds should possess? Journal of Educational Change, 8, 349–357. https://doi.org/10.1007/s10833-007-9042-x

Schleicher, A. (2019). PISA 2018: Insights and interpretations. OECD Publishing. https://search.oecd.org/pisa/PISA%202018%20Insights%20and%20Interpretations%20FINAL%20PDF.pdf

Schukajlow, S., Achmetli, K., & Rakoczy, K. (2019). Does constructing multiple solutions for real-world problems affect self-efficacy? Educational Studies in Mathematics, 100, 43–60. https://doi.org/10.1007/s10649-018-9847-y

Simon, R. A., Aulls, M. W., Dedic, H., Hubbard, K., & Hall, N. C. (2015). Exploring student persistence in STEM programs: A motivational model. Canadian Journal of Education, 38(1), 1–27. https://journals.sfu.ca/cje/index.php/cje-rce/article/view/1729

Stacey, K., & Turner, R (Eds.). (2015). Assessing mathematical literacy: The PISA experience. Springer. https://doi.org/10.1007/978-3-319-10121-7

Syakarofath, N. A., Sulaiman, A., & Irsyad, M. F. (2020). Kajian pro kontra penerapan sistem zonasi pendidikan di Indonesia. Jurnal Pendidikan dan Kebudayaan, 5(2), 115–130. https://doi.org/10.24832/jpnk.v5i2.1736

Thien, L. M., & Darmawan, I. G. N. (2016). Factors associated with Malaysian mathematics performance in PISA 2012. In L. M. Thien, N. A. Razak, J. P. Keeves, & I. G. N. Darmawan (Eds.), What can PISA 2012 data tell us? (pp. 81–105). Senses Publishers. https://doi.org/10.1007/978-94-6300-468-8_6

Tossavainen, T., Rensaa, R. J., & Johansson, M. (2019). Swedish first-year engineering students’ views of mathematics, self-efficacy and motivation and their effect on task performance. International Journal of Mathematical Education in Science and Technology, 1–16. https://doi.org/10.1080/0020739X.2019.1656827

Tutkun, O. F., Erdogan, D. G., & Ozturk, B. (2014). Levels of visual mathematics literacy self-efficacy perception of the secondary school students. Middle Eastern & African Journal of Educational Research, 8, 19–27.

Utami, R. W., & Wutsqa, D. U. (2017). Analisis kemampuan pemecahan masalah matematika dan self-efficacy siswa SMP negeri di Kabupaten Ciamis. Jurnal Riset Pendidikan Matematika, 4(2), 166–175. https://doi.org/10.21831/jrpm.v4i2.14897

Wasida, M. R., & Hartono, H. (2018). Analisis kesulitan menyelesaikan soal model ujian nasional matematika dan self-efficacy siswa SMA. Jurnal Riset Pendidikan Matematika, 5(1), 82–95. https://doi.org/10.21831/jrpm.v5i1.10060

Watts, T. W., Duncan, G. J., Siegler, R. S., & Davis-Kean, P. E. (2014). What’s past is prologue: Relations between early mathematics knowledge and high school achievement. Educational Researcher, 43(7), 352–360. https://doi.org/10.3102/0013189X14553660

Widodo, K., Budiarto, M. T., & Lukito, A. (2017). Profil pemecahan masalah kreatif siswa MA ditinjau dari tingkat math self-efficacy. Jurnal Riset Pendidikan dan Inovasi Pembelajaran Matematika, 1(1), 11–18 https://doi.org/10.26740/jrpipm.v1n1.p11-18

Wiedarti, P., & Laksono, K. (Eds.). (2016). Desain induk gerakan literasi sekolah. Kementerian Pendidikan dan Kebudayaan. http://repositori.kemdikbud.go.id/39/1/Desain-Induk-Gerakan-Literasi-Sekolah.pdf

Wijaya, A. (2016). Students’ information literacy: A perspective from mathematical literacy. Journal on Mathematics Education, 7(2), 73–82. https://doi.org/10.22342/jome.v7i2.3532

Wijaya, A., van den Heuvel-Panhuizen, M., Doorman, M., & Robitzsch, A. (2014). Difficulties in solving context-based PISA mathematics tasks: An analysis of students’ errors. Mathematics Enthusiast, 11(3), 555–584. https://scholarworks.umt.edu/tme/vol11/iss3/8

Zysberg, L., & Schwabsky, N. (2020). School climate, academic self-efficacy and student achievement. Educational Psychology, 1–16. https://doi.org/10.1080/01443410.2020.1813690

DOI: https://doi.org/10.21831/pg.v15i2.36255