Mathematical Reflective Thinking Process of Prospective Elementary Teachers Review from the Disposition in Numerical Literacy Problems
Setiyani , S. B. Waluya , Y. L. Sukestiyarno , Adi Nur Cahyono
The purpose of this qualitative research is to analyze the reflective thinking process of prospective elementary teacher in numeracy problems in terms.
- Pub. date: August 15, 2022
- Pages: 405-420
- 827 Downloads
- 1920 Views
- 0 Citations
The purpose of this qualitative research is to analyze the reflective thinking process of prospective elementary teacher in numeracy problems in terms of their mathematical disposition. The subjects in this study were 26 prospective elementary school teachers who had attended elementary mathematics lectures. The focus in this research is the process of mathematical reflective thinking in solving story problems of a two-variable linear equation system in terms of the level of mathematical disposition. The research instrument consisted of a disposition questionnaire, a reflective thinking ability test and the researcher himself as the main instrument. Good mathematical reflective thinking skills are supported by disposition, by constantly monitoring one's own performance, reflecting on one's own performance, reasoning on one's own performance, considering the overall situation, the habit of analyzing the relationship between variables, being flexible in various alternative solutions to mathematical problems and trying to solve mathematical problems. From the results of this study, lecturers can develop learning media, scaffolding, or teaching materials that accommodate different dispositional abilities of prospective teachers that can be used to improve the reflective thinking process.
Keywords: Disposition, numeracy problems, reflective thinking process.
References
Agustan, S., Juniati, D., & Siswono, T. Y. E. (2017). Reflective thinking in solving an algebra problem: A case study of field independent-prospective teacher. Journal of Physics: Conference Series, 893, 12002. https://doi.org/10.1088/1742-6596/893/1/012002
Akpur, U. (2020). Critical, reflective, creative thinking and their reflections on academic achievement. Thinking Skills and Creativity, 37, 100683. https://doi.org/10.1016/j.tsc.2020.100683
Ambarwati, D., & Kurniasih, M. D. (2021). Pengaruh Problem based learning berbantuan media youtube terhadap kemampuan literasi numerasi siswa [Effect of problem based learning assisted by youtube media on students' numerical literacy ability]. Jurnal Cendekia: Jurnal Pendidikan Matematika, 5(3), 2857–2868. https://doi.org/10.31004/cendekia.v5i3.829
Azwar, S. (2013). Penyusunan skala psikologi [Psychological scale preparation]. Pustaka Belajar
Badri, Y., Nindiasari, H., & Fatah, A. (2019). Pengembangan bahan ajar interaktif dengan scaffolding metakognitif untuk kemampuan dan disposisi berpikir reflektif matematis siswa [Development of interactive teaching materials with metacognitive scaffolding for students' mathematical reflective thinking ability and disposition]. Jurnal Penelitian Dan Pembelajaran Matematika, 12(1), 156–172. https://doi.org/10.30870/jppm.v12i1.4863
Basol, G., & Evin Gencel, I. (2013). Reflective thinking scale: A validity and reliability study. Educational Sciences: Theory and Practice, 13(2), 941–946. https://bit.ly/3xBDFQm
Choy, S. C., & Oo, P. S. (2012). Reflective thinking and teaching practices: A precursor for incorporating critical thinking into the classroom? International Journal of Instruction, 5(1), 167–182. https://bit.ly/3Qf8iT6
Dede, Y., & Soybaş, D. (2011). Preservice mathematics teachers’ experiences about function and equation concepts. EURASIA Journal of Mathematics, Science and Technology Education, 7(2), 89–102. https://doi.org/10.12973/ejmste/75183
Demirel, M., Derman, I., & Karagedik, E. (2015). A study on the relationship between reflective thinking skills towards problem solving and attitudes towards mathematics. Procedia-Social and Behavioral Sciences, 197, 2086–2096. https://doi.org/10.1016/j.sbspro.2015.07.326
Depaepe, F., Torbeyns, J., Vermeersch, N., Janssens, D., Janssen, R., Kelchtermans, G., Verschaffel, L., & Van Dooren, W. (2015). Teachers’ content and pedagogical content knowledge on rational numbers: A comparison of prospective elementary and lower secondary school teachers. Teaching and Teacher Education, 47, 82–92. https://doi.org/10.1016/j.tate.2014.12.009
Farahian, M., Avarzamani, F., & Rajabi, Y. (2021). Reflective thinking in an EFL Writing course: To what level do portfolios improve reflection in writing? Thinking Skills and Creativity, 39, 100759. https://doi.org/10.1016/j.tsc.2020.100759
Ghanizadeh, A. (2017). The interplay between reflective thinking, critical thinking, self-monitoring, and academic achievement in higher education. Higher Education, 74(1), 101–114. https://doi.org/10.1007/s10734-016-0031-y
Gürol, A. (2011). Determining the reflective thinking skills of pre-service teachers in learning and teaching process. Energy Education Science and Technology Part B-Social and Educational Studies, 3(3), 387-402.
Hajar, Y., Yanwar, R., & Fitrianna, A. Y. (2018). Analisis kemampuan berpikir reflektif siswa smp ditinjau dari disposisi matematis siswa [Analysis of the reflective thinking ability of junior high school students in terms of students' mathematical dispositions]. Jurnal Pembelajaran Matematika Inovatif, 1(1), 79-92. https://doi.org/10.22460/jpmi.v1i1.p79-92
Haryati, T., Nindiasari, H., & Sudiana, R. (2017). Analisis kemampuan dan disposisi berpikir reflektif matematis siswa ditinjau dari gaya belajar [Analysis of students' mathematical reflective thinking abilities and dispositions in terms of learning styles]. Jurnal Penelitian Dan Pembelajaran Matematika, 10(2), 146-158. https://doi.org/10.30870/jppm.v10i2.2039
Hendriana, H., Rohaeti, E. E., & Sumarmo, U. (2017). Hard skills dan soft skills matematik siswa [Students' math hard skills and soft skills]. Refika Aditama
Hidayat, N., Usodo, B., & Saputro, D. R. S. (2021). Reflective thinking ability of junior high school students in relations and function problems. Journal of Physics: Conference Series, 1776, 12024. https://doi.org/10.1088/1742-6596/1776/1/012024
Hino, K. (2016). Listening and responding to children’s reflective thinking: Two case studies on the use of the national assessment in Japan. World Scientific. https://doi.org/10.1142/9789813143623_0007
Irfan, M., Nusantara, T., Wijayanto, Z., & Widodo, S. A. (2019). Why do pre-service teachers use the two-variable linear equation system concept to solve the proportion problem? Journal of Physics: Conference Series, 1188, 12013. https://doi.org/10.1088/1742-6596/1188/1/012013
Irfan, M., & Rahardi, R. (2018). Characteristics of students in comparative problem solving. Journal of Physics: Conference Series, 948(1), 12007. https://doi.org/10.1088/1742-6596/948/1/012007
Jado, S. M. A. (2015). The effect of using learning journals on developing self-regulated learning and reflective thinking among pre-service teachers in Jordan. Journal of Education and Practice, 6(5), 89–103.
Jones, S., & Tanner, H. (2008). Reflective discourse and the effective teaching of numeracy. In O. Figueras, J. L. Cortina, S. Alatorre, T. Rojano, & A. Sepúlveda (Eds.), Proceedings of the Joint Meeting of PME 32 and PME-NA XXX (Vol. 3, pp. 225-232). Cinvestav-UMSNH .
Kartono, Sulhadi, & Rahayu R. (2014). The effect of mathematical disposition toward problem solving ability based on ideal problem solver. In Sutikno, A. Widiyatmoko, Masturi, & Harjito (Eds.), Proceedings International Conference on Mathematics, Science, and Education 2014 (pp.102–107). ICEMST.
Kember, D., Leung, D. Y. P., Jones, A., Loke, A. Y., McKay, J., Sinclair, K., Tse, H., Webb, C., Yuet Wong, F. K., & Wong, M. (2000). Development of a questionnaire to measure the level of reflective thinking. Assessment & Evaluation in Higher Education, 25(4), 381–395. https://doi.org/10.1080/713611442
Kementerian Pendidikan dan Kebudayaan [Ministry of Education and Culture]. (2017). Panduan gerakan literasi nasional [Guide to National literacy movement]. https://bit.ly/3mKjCcq
Lemonidis, C. (2008). Prospective teachers’ application of the mathematical concept of proportion in real life situations. In A. Gagatsis (Ed.), Research in mathematics education (pp.163-172). School of Sciences and Sciences of Education, University of Cyprus.
Mentari, N., Nindiasari, H., & Pamungkas, A. S. (2018). Analisis kemampuan berpikir reflektif siswa SMP berdasarkan gaya belajar [Analyze the reflective thinking ability of junior high school students based on learning styles]. NUMERICAL: Jurnal Matematika Dan Pendidikan Matematika, 2(1), 31–42. https://doi.org/10.25217/numerical.v2i1.209
Miles, M. B., & Huberman, A. M. (1994). Qualitative data analysis: An expanded sourcebook. Sage.
Mirzaei, F., Phang, F. A., & Kashefi, H. (2014). Assessing and improving reflective thinking of experienced and inexperienced teachers. Procedia-Social and Behavioral Sciences, 141, 633–639. https://doi.org/10.1016/j.sbspro.2014.05.111
Muntazhimah, M., Turmudi, T., & Prabawanto, S. (2021). The relation between prior knowledge and students’ mathematics reflective thinking ability. Journal of Physics: Conference Series, 1731, 12043. https://doi.org/10.1088/1742-6596/1731/1/012043
Naghdipour, B., & Emeagwali, O. L. (2013). Assessing the level of reflective thinking in ELT students. Procedia-Social and Behavioral Sciences, 83, 266–271. https://doi.org/10.1016/j.sbspro.2013.06.052
Rakhmawati, Y., & Mustadi, A. (2021). Examining the necessity of reflective module: Literacy numeracy skill of students elementary school. AL-ISHLAH: Jurnal Pendidikan, 13(1), 597–609. https://doi.org/10.35445/alishlah.v13i1.534
Rodgers, C. (2002). Defining reflection: Another look at John Dewey and reflective thinking. Teachers College Record, 104(4), 842–866. https://doi.org/10.1111/1467-9620.00181
Ryan, M., & Ryan, M. (2013). Theorising a model for teaching and assessing reflective learning in higher education. Higher Education Research & Development, 32(2), 244–257. https://doi.org/10.1080/07294360.2012.661704
Sani, B. (2016). Perbandingan kemampuan siswa berpikir reflektif dengan siswa berpikir intuitif di Sekolah Menengah Atas [Comparison of students' ability to think reflectively with students' intuitive thinking in high school]. Jurnal Pendidikan Matematika Dan Sains, 4(2), 63–76. https://doi.org/10.21831/jpms.v4i2.12947
Sellings, P., Felstead, K., & Goriss-Hunter, A. (2018). Developing pre-service teachers: The impact of an embedded framework in literacy and numeracy. Australian Journal of Teacher Education, 43(4), 1–16. https://doi.org/10.14221/ajte.2018v43n4.1
Sezer, R. (2008). Integration of critical thinking skills into elementary school teacher education courses in mathematics. Education, 128(3), 349-363. https://bit.ly/3Q8TaXg
Sukestiyarno, Y. L. (2020). Metode penelitian pendidikan [Educational research methods]. UNNES Press
Syamsuddin, A. (2019). Analysis of prospective teacher’s mathematical problem solving based on taxonomy of reflective thinking. Journal of Physics: Conference Series, 1157, 32078. https://doi.org/10.1088/1742-6596/1157/3/032078
Tanisli, D., & Kose, N. Y. (2013). Preservice mathematics teachers’ knowledge of students about the algebraic concepts. Australian Journal of Teacher Education, 38(2), 1-18. https://doi.org/10.14221/ajte.2013v38n2.1
Tohir, M. (2019). Hasil PISA Indonesia tahun 2018 turun dibanding tahun 2015 [Indonesia's PISA results in 2018 are down compared to 2015]. OSF Preprints. https://doi.org/10.31219/osf.io/pcjvx
Tuncer, M., & Ozeren, E. (2012). Prospective teacher’s evaluations in terms of using reflective thinking skills to solve problems. Procedia-Social and Behavioral Sciences, 51, 666–671. https://doi.org/10.1016/j.sbspro.2012.08.221
Waluya, S. B., & Asikin, M. (2021). Analysis mathematical representation ability by self-efficacy of prospective mathematics teachers. Journal of Physics: Conference Series, 1918, 42118. https://doi.org/10.1088/1742-6596/1918/4/042118
Widiantari, N. K. K., Suparta, I. N., & Sariyasa, S. (2022). Meningkatkan literasi numerasi dan pendidikan karakter dengan e-modul bermuatan etnomatematika di era pandemi COVID-19. Jurnal Ilmiah Pendidikan Matematika, 10(2), 331–343. http://doi.org/10.25273/jipm.v10i2.10218
Widiyasari, R., Kusumah, Y. S., & Nurlaelah, E. (2020). Analisis kemampuan berpikir reflektif mahasiswa calon guru matematika pada mata kuliah program linier [Analysis of the reflective thinking ability of prospective mathematics teacher students in linear programming courses]. Fibonacci: Jurnal Pendidikan Matematika Dan Matematika, 6(1), 67–76. https://bit.ly/3MFNcKx