Students’ Democratic Character and Problem-Solving Ability through Realistic Mathematics Education (RME) at Junior High School

(1) Department of Mathematics Education, Universitas Syiah Kuala, Indonesia, Indonesia
(2) Department of Mathematics Education, Universitas Syiah Kuala, Indonesia The Research Center of Realistic Mathematics education, Universitas Syiah Kuala, Indonesia, Indonesia
(3) Department of Mathematics Education, Universitas Syiah Kuala, Indonesia, Indonesia

Copyright (c) 2025 Rike Arami Rezeki, Rahmah Johar, Usman Usman
Article Metrics→ |
Indexing Database→ | ![]() |
![]() |

Abstract
Democratic Character and Problem Solving Ability Students through Realistic Mathematics Education (RME) at Junior High School. Students' democratic character and problem solving skills are still low. One of the efforts is by implementing the RME approach. This study aims to analyze students' democratic character, students' problem solving ability improvement, and problem solving ability in terms of students' democratic character after learning through the RME. This is the quantitative research with a one group pretest-posttest design. The population in this study was four classes of grade 8 students from one islamic junior high school/madrasah tsanawiyah (MTs) at Takengon, Aceh, Indonesia. The sample technique was simple random sampling. There were 45 students from two of four classes as a sample. The instruments in this study were observation sheets od students democratic character and problem solving test. Data analysis used an percentage of students’ character score, n-gain of students’ problem solving ability, and paired t-test to analyze the increasing of students’ problem solving ability. The results showed that the development of students' democratic character during the learning process through the RME approach was getting better; there was an increase in students' problem solving ability after participating in learning through the RME approach; and students with high and medium problem solving abilities have a good democratic character. The students' democratic character was further developed at the fourth meeting. Students were seen often to give opinions during group discussions, giving opportunities to express opinions for others, daring to respond to their friends' opinions, listening to their friends' opinions well, actively discussing, working on students’ worksheet together, and deliberating to draw conclusions together. Students’ democratic character can be trained through RME which has an impact on increasing their problem-solving ability.
Keywords: democratic character, problem solving ability, realistic mathematics education (RME).
References
Anderson, J. (2009). Mathematics curriculum development and the role of problem solving. In K. School (Ed.), Proceedings of Australian Curriculum Studies Association National Biennial Conference.(pp. 1-8).
Altun, I. (2003). The perceived problem solving ability and values of student nurses and midwives. Nurse Education Today, 23(8), 575-584. https://doi.org/10.1016/S0260-6917(03)00096-0
Arthur, J. (2011). Personal character and tomorrow’s citizens: Student expectations of their teachers. International Journal of Educational Research, 50(3), 184–189. https://doi.org/10.1016/j.ijer.2011.07.001
Bergem, O. K., & Pepin, B. (2013). Developing mathematical proficiency and democratic 143 agency through participation-an analysis of teacher-student dialogues in a norwegian 9th grade classroom. In Student voice in mathematics classrooms around the world (pp. 143-160). Brill.
Bedel, A., & Arı, R. (2012). Kişiler arası sorun çözme beceri eğitiminin ergenlerin yapıcı problem çözme ve sürekli öfke düzeylerine etkisi. İlköğretim Online, 11(2).
Bray, A. & Tangney, B. (2015). Enhancing student engagement through the affordances of mobile technology: A 21st century learning perspective on realistic mathematics education. Mathematics Education Research Journal. doi:10.1007/s13394-015-0158-7.
Csapo, B., & Funke, J. (2017). The nature of problem solving using research to inspire 21st century learning. Paris: OECD Publishing. https://doi.org/10.1787/9789264273955-6-en
Dinglasan, J. K. L., Caraan, D. R. C., & Ching, D. A. (2023). Effectiveness of realistic mathematics education approach on problem-solving skills of students. International Journal of Educational Management and Development Studies, 4(2), 64–87. https://doi.org/10.53378/352980.
Dwianjani, N. K. V., Candiasa, I. M., Sariyasa. (2018). Identifikasi faktor-faktor yang mempengaruhi kemampuan pemecahan masalah matematika. Numerical: Jurnal Matematika dan Pendidikan Matematika, 2(2), 153-166.
Ferguson-Patrick, K. (2022). Developing a democratic classroom and a democracy stance: Cooperative learning case studies from England and Sweden. Education 3-13, 50(3), 389-403.
Freudenthal, H. (1983). Didactical phenomenology of mathematical structures. Reidel Publishing Company.
Freudenthal, H. (2002). Didactical phenomenology of mathematical structures. New York: Kluwer Academic Publisher.
Frisiliawati, C. (2022). The urgency of democratic knowledge in shaping democratic attitudes. E-CIVICS, 11(4), 408-420
Gravemeijer, K.P.E. (1994). Developing realistic mathematics education. The Netherland: Teachnipress.
Hake, R. R. (1999). Analyzing change/gain scores. American Educational Research Assciation’s Division D. Measurement and Research Metodology, 1. 1-4.
Haris, H. (2015). Interviews, observations, and focus groups as qualitative data mining instruments. Jakarta: PT RajaGrafindo
Ismunandar, D., Gunadi, F., Taufan, M., Mulyana, D., & Runisah. (2020). Creative thinking skill of students through realistic mathematics education approach. Journal of Physics: Conference Series, 1657(1), 012054. https://doi.org/10.1088/17426596/1657/1/012054
Johar R, Zubainur CM, Sulastri, Khairunnisak C. (2017). Pre-service teachers’ perception of democratic classroom in teaching multiplication through video. Applied Science and Technology Journal, 1(1), 273–8.
Johar, R., Zubainur, C. M., Khairunnisak, C., & Zubaidah, T. (2021). Building a democratic classroom through realistic mathematics education. Banda Aceh: Syiah Kuala University Press.
Nguyen, Q. A., & Nguyen, N.-G. (2024). Horizontal and vertical mathematization processes of 10th grade students: The case of Law of Sines. Journal on Mathematics Education, 15(4), 1251–1276.
Nufus, M. L., Zulfani, A., Firdaus, A., Agustina, L., & Fadhilah, N. (2021). Integration of character values in indonesian realistic mathematics learning (pmri) based on gender awareness. In SANTIKA, 1, 352-370.
Özbey, A. (2021). An investigation of the democratic values, problem-solving skills, and attitude levels toward violence of secondary school students. International Journal of Social Science Studies, 9(3), 66–81. https://doi.org/10.11114/ijsss.v9i3.5220
Ozrecberoglu, N., and Caganaga, C.K. (2018).Making it count: Strategies for improving problem solving skills in mathematics for students and teachers' classroom management. EURASIA Journal of Mathematics, Science and Technology Education, 14(4), 1253-1261.
Phonapichat, P., Wongwanich, S., & Sujiva, S. (2014). An analysis of elementary school students’ difficulties in mathematical problem solving. Procedia - Social and Behavioral Sciences, 116, 3169–3174. https://doi.org/10.1016/j.sbspro.2014.01.728
Polya, G. (1973). How to solve it: A new aspect of mathematics method. 2nd???????? ed. New Jersey: Princenton University Perss.
Polya, G. 1980. How to solve it. New Jersey: Princeton University Press
Purwadi, I. M. A. (2020). Improving VIII grade students' mathematical problem solving ability through realistic mathematics education. Southeast Asian Mathematics Education Journal, 10, 14-26.
Rowland, S. (2003). Teaching for democracy in higher education. Teaching in Higher Education, 8(1), 89-101.
Schulz, W., Ainley, J., Fraillon, J., Losito, B., Agrusti, G., & Friedman, T. (2018). Becoming citizens in a changing world: IEA international civic and citizenship education study 2016 International Report. Springer.
Simamora, R. E., & Saragih, S. (2019). Improving students' mathematical problem solving ability and self-efficacy through guided discovery learning in local culture context. International Electronic Journal of Mathematics Education, 14(1), 61-72.
Topkaya EZ, Yavuz A. (2011). Democratic values and teacher self-efficacy perceptions: A case of pre-service English language teachers in Turkey. Australian Journal of Teacher Education, 36(8), 31-48.
Van den Heuvel-Panhuizen, M, (2001), Realistic Mathematics Education as work in Progress. In F.L. Lin (Ed), common sense in methematics educations proceedings of 2007 the Netherlands and Taiwan Conference on mathematics education, Taipei, 1-43.
Van den Heuvel-Panhuizen, M., & Drijvers, P. (2020). Realistic mathematics education. In S. Lerman (Ed.), Encyclopedia of Mathematics Education (pp. 713–758). Springer. https://doi.org/10.1007/978-3-030-15789
Ventistas, G., Ventista, O. M., & Tsani, P. (2024). The impact of realistic mathematics education on secondary school students’ problem-solving skills: A comparative evaluation study. Research in Mathematics Education. https://doi.org/10.1080/14794802.2024.2306633
Verschaffel, L., Schukajlow, S., Star, J., & Van Dooren, W. (2020). Word problems in mathematics education: A survey. ZDM, 52(1), 1-16.
Xu, C., Lafay, A., Douglas, H., Di Lonardo Burr, S., LeFevre, J. A., Osana, H. P., ... & Maloney, E. A. (2022). The role of mathematical language skills in arithmetic fluency and word-problem solving for first- and second-language learners. Journal of Educational Psychology, 114(3), 513.
Yackel, E., Stephan, M., Rasmussen, C., & Underwood, D. (2003). Didactising: continuing the work of leen streefland. Educational Studies in Mathematics, 54(1), 101–126. https://doi.org/10.1023/B:EDUC.0000005213.85018.34
Refbacks
- There are currently no refbacks.

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
View My Stats