Rama Nida Siregar(1*), Didi Suryadi(2), Sufyani Prabawanto(3), Abdul Mujib(4),

(1) Universitas Pendidikan Indonesia
(2) Universitas Pendidikan Indonesia
(3) Universitas Pendidikan Indonesia
(4) Universitas Muslim Nusantara Al-Washliyah
(*) Corresponding Author


This research is motivated by the problem, not the maximum level of students' mathematical reasoning abilities. The purpose of this study was to determine the improvement of students' reasoning abilities with realistic mathematics education. This type of research is a quasi-experimental study to examine the improvement of students' mathematical reasoning abilities through a realistic mathematical education. The instrument used is a test item consisting of a test of mathematical reasoning ability and an attitude scale given to students. In this study, data were obtained to see the increase in students' reasoning abilities with realistic mathematics education in mathematics learning and to see student responses to learning using realistic mathematics education which were analyzed by processing test results data, namely testing homogeneity, testing hypotheses, and testing average differences. mean in both groups using t-test. The conclusion obtained in this study is that in the group of students whose learning using a realistic mathematics education the average score of students increased by 41.1%, while the increase in the average score of the group of students whose learning was conventional was only 17.3%. The number of students who scored above 60% in the group of students whose learning using a realistic mathematics education in the final test had reached 88.65%, while in the group of students whose learning was conventional it only reached 45.79%, meaning that the achievement of the group of students who studied with realistic mathematics education increases significantly when compared to the group of students who learn conventionally.


Student learning; mathematical reasoning ability; realistic mathematic education

Full Text:



Abidin, Z., Sutama, Herman, T., Jupri, A., Farokhah, L., Apuanor, & Sonedi. (2021). Gifted Children’s Mathematical Reasoning Abilities on Problem-Based Learning and Project-Based Learning Literacy. Journal of Physics: Conference Series, 1720(1), 012018.

Alrawili, K. S., Osman, K., & Almuntasheri, S. (2020). Effect of scaffolding strategies on higher-order thinking skills in science classroom. Journal of Baltic Science Education, 19(5), 718–729.

Barak, M., Dori, Y. J., Yehudit, A. E., & Dori, J. (2017). Enhancing higher order thinking skills among inservice science teachers via embedded assessment. Journal of Science Teacher Education, 20(5), 459–474.

Conway, B., Gary Martin, W., Strutchens, M., Kraska, M., & Huang, H. (2019). The Statistical Reasoning Learning Environment: A Comparison of Students’ Statistical Reasoning Ability. Journal of Statistics Education, 27(3), 171–187.

Danişman, Ş., & Erginer, E. (2017). The predictive power of fifth graders’ learning styles on their mathematical reasoning and spatial ability. Cogent Education, 4(1).

Dwi Kurino, Y., & Cahyaningsih, U. (2020). The Effect of Realistic Mathematic Education towards Student’ Learning Motivation in Elementary School. Journal of Physics: Conference Series, 1477(4), 042043.

Farida, U., Caswita, C., & Sutiarso, S. (2022). Pengembangan Bahan Ajar Berbasis Realistic Mathematics Education Berorientasi Kemampuan Berpikir Kritis. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 11(2), 1563–1572.

Ferreira, P. E. A., & De Buriasco, R. L. C. (2015). Enunciados de Tarefas de Matemática Baseados na Perspectiva da Educação Matemática Realística. Bolema: Boletim de Educação Matemática, 29(52), 452–472.

Gerber, B. L., Cavallo, A. M. L., & Marek, E. A. (2001). Relationships among informal learning environments, teaching procedures and scientific reasoning ability. International Journal of Science Education, 23(5), 535–549.

Greiff, S., Wüstenberg, S., Goetz, T., Vainikainen, M. P., Hautamäki, J., & Bornstein, M. H. (2015). A longitudinal study of higher-order thinking skills: working memory and fluid reasoning in childhood enhance complex problem solving in adolescence. Frontiers in Psychology, 6, 1060.

Hacatrjana, L. (2022). Flexibility to Change the Solution: An Indicator of Problem Solving That Predicted 9th Grade Students’ Academic Achievement during Distance Learning, in Parallel to Reasoning Abilities and Parental Education. Journal of Intelligence 2022, Vol. 10, Page 7, 10(1), 7.

Harrison, N. (2013). Using the interactive whiteboard to scaffold a metalanguage: Teaching higher order thinking skills in preservice teacher education. Australasian Journal of Educational Technology, 29(1), 54–65.

Hasibuan, A. M., Saragih, S., & Amry, Z. (2019). Development of Learning Materials Based on Realistic Mathematics Education to Improve Problem Solving Ability and Student Learning Independence. International Electronic Journal of Mathematics Education, 14(1), 243–252.

Hidayat, W., Wahyudin, & Prabawanto, S. (2018). Improving students’ creative mathematical reasoning ability students through adversity quotient and argument driven inquiry learning. Journal of Physics: Conference Series, 948(1), 012005.

Hidayat, Wahyu, Rohaeti, E. E., Ginanjar, A., & Putri, R. I. I. (2022). An ePub learning module and students’ mathematical reasoning ability: A development study. Journal on Mathematics Education, 13(1), 103–118.

Khasawneh, A. A., Al-Barakat, A. A., & Almahmoud, S. A. (2022). The Effect of Error Analysis-Based Learning on Proportional Reasoning Ability of Seventh-Grade Students. Frontiers in Education, 7, 468.

Lestari, M., Irawati, S., Kunci, K., & Penalaran Matematis, K. (2022). Analisis Kemampuan Analisis Kemampuan Penalaran Matematis Siswa Sma Pada Materi Matriks. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 11(1), 550–562.

Lestari, P., Mardiyana, & Slamet, I. (2021). The need analysis of mathematics module based on problem-based learning to improve reasoning ability. Journal of Physics: Conference Series, 1776(1), 012025.

Lestary, R., Subanji, & Rahardi, R. (2019). An analysis of students’ mathematical reasoning ability in statistic problem solving based on structure of the observed learning outcome taxonomy. Journal of Physics: Conference Series, 1320(1), 012055.

Mega, E., Wijaya, S., & Pramudita Irianti, N. (2021). Meningkatkan Kemampuan Berpikir Kritis Mahasiswa Melalui Realistic Mathematic Education (RME). AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 10(2), 648–658.

Meng, Q., Jia, J., & Zhang, Z. (2020). A framework of smart pedagogy based on the facilitating of high order thinking skills. Interactive Technology and Smart Education, 17(3), 251–266.

Misrom, N. S., Abdurrahman, M. S., Abdullah, A. H., Osman, S., Hamzah, M. H., & Fauzan, A. (2020). Enhancing Students’ Higher-Order Thinking Skills (HOTS) Through an Inductive Reasoning Strategy Using Geogebra. International Journal of Emerging Technologies in Learning (IJET), 15(03), 156–179.

Muñez, D., Bull, R., Cheung, P., & Orrantia, J. (2022). Non-symbolic Ratio Reasoning in Kindergarteners: Underlying Unidimensional Heuristics and Relations With Math Abilities. Frontiers in Psychology, 13, 362.

Novianda, D., Darhim, & Prabawanto, S. (2021). Analysis of students’ mathematical reasoning ability in geometry through distance learning. Journal of Physics: Conference Series, 1882(1), 012085.

Nur, A. S., Marlissa, I., Kamariah, K., Palobo, M., & Ramadhani, W. P. (2021). Mathematics education research in Indonesia: A scoping review. Beta: Jurnal Tadris Matematika, 14(2), 154–174.

Nurjanah, Dahlan, J. A., & Wibisono, Y. (2020). The Effect of Learning Hands-on Activity Media on the Mathematical Reasoning Ability of Junior High School Students. Proceedings of the 7th Mathematics, Science, and Computer Science Education International Seminar, MSCEIS 2019, 229.

Pahrudin, A., Ahid, N., Huda, S., Ardianti, N., Putra, F. G., Anggoro, B. S., & Joemsittiprasert, W. (2020). The effects of the ECIRR learning model on mathematical reasoning ability in the curriculum perspective 2013: Integration on student learning motivation. European Journal of Educational Research, 9(2), 675–685.

Palinussa, A. L. (2013). Students’ Critical Mathematical Thinking Skills and Character: Experiments for Junior High School Students through Realistic Mathematics Education Culture-Based. Journal on Mathematics Education, 4(1), 75–94.

Prahani, B. K., Jatmiko, B., Hariadi, B., Sunarto, D., Sagirani, T., Amelia, T., & Lemantara, J. (2020). Blended Web Mobile Learning (BWML) Model to Improve Students’ Higher Order Thinking Skills. International Journal of Emerging Technologies in Learning (IJET), 15(11), 42–55.

Rahman, Z. H., & Setyaningsih, R. (2022). Meningkatkan Kemampuan Pemecahan Masalah Siswa Melalui Pendekatan Realistic Mathematics Education. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 11(2), 1620–1629.

Raub, L. A., Shukor, N. A., Arshad, M. Y., & Rosli, M. S. (2015). An Integrated Model to Implement Contextual Learning with Virtual Learning Environment for Promoting Higher Order Thinking Skills in Malaysian Secondary Schools. International Education Studies, 8(13), p41.

Rifandi, R. (2017). Supporting Students’ Reasoning About Multiplication of Fractions by Constructing an Array Model. JRAMathEdu (Journal of Research and Advances in Mathematics Education), 1(2), 99–110.

Saleh, M., Prahmana, R. C. I., Isa, M., & Murni. (2018). Improving the reasoning ability of elementary school student through the indonesian realistic mathematics educationthe reasoning ability of elementary school student through the indonesian realistic mathematics education. Journal on Mathematics Education, 9(1), 41–54.

Sari, M. P., Susanto, Yuliati, N., Imamah, E. N., & Laily, N. I. (2020). The students’ mathematical reasoning ability based on problem based learning model. Journal of Physics: Conference Series, 1538(1), 012078.

Siregar, R. N., Karnasih, I., & Hasratuddin, H. (2020). Pengembangan Perangkat Pembelajaran Berbasis Pendekatan Realistik Untuk Meningkatkan Kemampuan Berfikir Kreatif dan Self-Efficacy Siswa SMP. JURNAL PENDIDIKAN GLASSER, 4(1), 45–63.

Siregar, R. N., Mujib, A., Siregar, H., & Karnasih, I. (2020). Peningkatan Kemampuan Berpikir Kreatif Siswa Melalui Pendekatan Matematika Realistik. Edumaspul: Jurnal Pendidikan, 4(1), 56–62.

Siregar, R. N., & Prabawanto, S. (2021). Increasing Students’ Self-Efficacy Through A Realistic Mathematical Education. (JIML) Journal of Innovative Mathematics Learning, 4(2), 63–74.

Siregar, R. N., Suryadi, D., Prabawanto, S. P., & Mujib, A. (2022). Improving Students’ Self-Esteem in Learning Mathematics through a Realistic Mathematic Education. Jurnal Pendidikan MIPA, 23(3), 1262–1277.

Sitorus, J., & Masrayati. (2016). Students’ creative thinking process stages: Implementation of realistic mathematics education. Thinking Skills and Creativity, 22, 111–120.

Sugiyono. (2012). Metode penelitian pendidikan (Pendekatan kuantitatif, kualitatif, dan R&D) (Educational research methods (quantitative, qualitative, and R&D approaches)). Alfabeta.

Sugiyono. (2013). Metode penelitian pendidikan pendekatan kuantitatif, kualitatif dan R&D (Educational research methods quantitative, qualitative and R&D approaches). Alfabeta.

Syafriafdi, N., Fauzan, A., Arnawa, I. M., Anwar, S., & Widada, W. (2019). The Tools of Mathematics Learning Based on Realistic Mathematics Education Approach in Elementary School to Improve Math Abilities. Universal Journal of Educational Research, 7(7), 1532–1536.

Utami, C., & Nirawati, R. (2018). Pengembangan Kemampuan Literasi Matematis Melalui Model Pjbl dengan Pendekatan Realistic Saintific dan Pengukuran Berbasis PISA. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 7(3), 345–355.

Utami, N. W., & Nurlaelah, E. (2021). Application of listening team learning model in improving middle school students’ mathematical reasoning ability. Journal of Physics: Conference Series, 1806(1), 012101.

Van den Heuvel-Panhuizen, M., & Drijvers, P. (2020). Realistic Mathematics Education. Encyclopedia of Mathematics Education, 713–717.

Vebrian, R., Putra, Y. Y., Saraswati, S., & Wijaya, T. T. (2021). Kemampuan Penalaran Matematis Siswa Dalam Menyelesaikan Soal Literasi Matematika Kontekstual. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 10(4), 2602–2614.

Wahyuni, S. E., & Rejeki, S. (2022). Peningkatan Kemampuan Komunikasi Matematis Dengan Penerapan Pendekatan Realistic Mathematics Education. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 11(2), 1487–1500.

Yang, D. C., & Wu, W. R. (2010). The Study of Number Sense: Realistic Activities Integrated into Third-Grade Math Classes in Taiwan. The Journal of Educational Research, 103(6), 379–392.

Zohar, A., & Dori, Y. J. (2009). Higher Order Thinking Skills and Low-Achieving Students: Are They Mutually Exclusive? Journal of the Learning Sciences, 12(2), 145–181.



  • There are currently no refbacks.