Implementation of the rme model using the ctl approach on mathematics learning outcomes

Tiara Ayu Linggar Sari, Bambang Agus Sulistyono, Samijo Samijo

Abstract


Mathematics instruction in high school continues to face the challenge of low student achievement, particularly regarding the abstract concept of tangents to circles. This situation indicates that the learning process has not fully connected mathematical concepts to students’ real-life contexts, resulting in suboptimal conceptual understanding. This study aims to determine the effectiveness of applying the Realistic Mathematics Education (RME) model with the Contextual Teaching and Learning (CTL) approach in improving students’ mathematics learning outcomes. This study uses a quantitative approach with a one-group pretest–posttest experimental design. The research subjects were 33 students in class XI-6 at SMA Negeri 3 Kediri. Data collection was conducted through pretest and posttest assessments. The data were analyzed using descriptive statistics, a normality test, a paired-sample t-test, and an N-Gain test. The results showed that the average pretest score of 44.55 increased to 80.00 on the posttest. The results of the paired-sample t-test showed a significance level of less than 0.05, indicating a significant difference between learning outcomes before and after the intervention. The N-Gain value of 0.62 falls into the moderate category. These findings suggest that the implementation of the RME model with the CTL approach is effective in improving students’ mathematics learning outcomes and helps students better understand the concept of tangent lines to a circle.

Keywords


CTL learning model; Mathematics learning outcomes; RME learning model

Full Text:

PDF

References


R. P. Ningsih, “Efektivitas pendekatan matematika realistik untuk meningkatkan aktivitas belajar dan kemampuan representasi matematis siswa,†Hipotenusa J. Res. Math. Educ., vol. 4, no. 1, pp. 1–11, 2021, doi: 10.36269/hjrme.v4i1.466.

S. et al. Nurazizah, “Analysis of students’ errors in answering mathematical literacy questions,†Hipotenusa J. Res. Math. Educ., vol. 8, no. 2, pp. 120–141, 2025, doi: 10.36269/hjrme.v8i2.3682.

Sugiyono, Metode Penelitian Kuantitatif, Kualitatif, dan R&D. Bandung, Indonesia: Alfabeta, 2023.

A. Mahmuti, D. Kamber Hamzić, and X. Thaqi, “The impact of contextual teaching and learning on improving student achievement in economic mathematics,†Int. Electron. J. Math. Educ., vol. 20, no. 2, p. em0816, 2025, doi: 10.29333/iejme/16233.

F. Fitriati, M. Marlaini, and E. Elizar, “Integrating rich task into the mathematics classroom to develop students’ higher order thinking skills: A collaborative action research study in a secondary school,†Elem. Educ. Online, vol. 20, no. 1, pp. 479–494, 2021, doi: 10.17051/ilkonline.2021.01.042.

D. Andrian, R. Hidayat, and E. Dacara, “The effect of realistic mathematics education approach to improve students’ mathematics learning outcomes,†J. Ris. Pendidik. Mat., vol. 12, no. 1, pp. 74–85, 2025, doi: 10.21831/jrpm.v12i1.76685.

A. Purwantoro, “Penerapan pemberian latihan soal-soal kontekstual dalam meningkatkan hasil belajar matematika,†Hipotenusa J. Res. Math. Educ., vol. 3, no. 2, pp. 127–141, 2020, doi: 10.36269/hjrme.v3i2.451.

S. Nurazizah, M. Azira, M. Z. Rezky, A. Asyifa, and N. A. Fajriah, “Analysis of Students ’ Errors in Answering Mathematical,†vol. 8, no. 2, pp. 120–141, 2025.

Y. A. Afandi and L. Kurniati, “Implementation of AI-based CTL learning model on students’ mathematics learning outcomes,†Hipotenusa J. Res. Math. Educ., vol. 9, no. 1, pp. 17–31, 2026, doi: 10.36269/hjrme.v9i1.3778.

Apriyanti, “Metode mengajar bervariasi untuk meningkatkan hasil belajar matematika siswa,†vol. 3, no. 2, pp. 119–126, 2020.

R. R. DB, A. F. Majid, Nursalam Salam, and A. D. Angriani, “Mathematical literacy through problem-based learning: A systematic literature review of intervention effectiveness,†Hipotenusa J. Res. Math. Educ., vol. 8, no. 2, pp. 156–170, 2025, doi: 10.36269/hjrme.v8i2.3664.

D. H. Tong, T.-T. Nguyen, B. P. Uyen, L. K. Ngan, L. T. Khanh, and P. H. Tinh, “Realistic Mathematics Education’s effect on students’ performance and attitudes: A case of ellipse topics learning,†Eur. J. Educ. Res., vol. 11, no. 1, pp. 403–421, 2022, doi: 10.12973/eu-jer.11.1.403.

N. T. Da, “Realistic mathematics education and authentic learning: A combination of teaching mathematics in high school,†J. Math. Sci. Teach., vol. 3, no. 1, p. em029, 2023.

Saminanto, Realistic mathematics education dengan media magic math cube bagi siswa smp. Southeast Asian Publishing (SeAP), 2021.

S. Sofyani, “Pengaruh pendekatan realistic mathematics education (RME) terhadap kemampuan pemecahan masalah matematika pada siswa sekolah dasar,†2023, Jakarta, Indonesia.

M. S. Rohman, “Efektivitas model pembelajaran realistic mathematics education (RME) dengan pendekatan contextual teaching and learning (CTL) terhadap keaktifan belajar dan kemampuan pemahaman konsep matematika siswa pada materi himpunan kelas VII MTs Qosim Al Hadi Mijen,†vol. 2507, no. 2, pp. 1–9, 2020.

Kholid, “Pengaruh pendekatan contextual teaching and learning (CTL) terhadap keaktifan belajar siswa,†Sekol. Tinggi Agama Islam Taruna Surabaya, vol. 1, no. 1, pp. 68–82, 2023.

A. Mahmuti, D. K. Hamzić, and X. Thaqi, “The impact of contextual teaching and learning on improving student achievement in economic mathematics,†Int. Electron. J. Math. Educ., vol. 20, no. 3, p. em0833, Jul. 2025, doi: 10.29333/iejme/16233.

W. Malmia, J. Latbual, V. R. Hentihu, and S. H. Loilatu, “Efektivitas pembelajaran contextual teaching and learning (CTL) terhadap hasil belajar matematika siswa,†Uniqbu J. Exact Sci., vol. 1, no. 2, pp. 31–39, 2020.

R. Sundayana, Statistika Penelitian Pendidikan. Bandung: Alfabeta, 2020.

N. A. Jafaruddin, N. Andini, I. Lestari, M. Pratidina, R. Sahrani, Ramlawati, and R. Umam, “Narrative Review: Teaching Preservatives Using Problem-Based Learning (PBL) in Chemistry Education,†Islamic J. Integr. Sci. Educ. (IJISE), vol. 5, no. 2, pp. 111–128, 2026, doi: 10.30762/ijise.v5i2.8586.

M. Usman, H. Pramudawardani, R. Umam, and H. Takahashi, “Synthesizing a Framework and Establishing Content Validity of an Energy Literacy Instrument for Indonesian Students,†Islamic J. Integr. Sci. Educ. (IJISE), vol. 4, no. 3, pp. 175–185, 2025, doi: 10.30762/ijise.v4i3.6993.

M. Yasin, S. Huda, F. G. Putra, M. Syazali, R. Umam, and S. Widyawati, “IMPROVE Learning Model and Learning Independence: Influence and Interaction on Mathematics Problem-Solving Abilities in Islamic Boarding School,†J. Phys.: Conf. Ser., vol. 1467, no. 1, Art. no. 012003, 2020, doi: 10.1088/1742-6596/1467/1/012003.

A. Saregar, F. G. Putra, R. Diani, A. Anugrah, M. Misbah, and R. Umam, “Innovative Integrated Disaster Education in Physics Learning: An Effort to Enhance Students’ Disaster Literacy Skills,†J. Pendidik. IPA Indones., vol. 14, no. 2, Art. no. 23959, 2025, doi: 10.15294/jpii.v14i2.23959.

F. G. Putra, D. Lengkana, S. Sutiarso, Nurhanurawati, A. Saregar, R. Diani, S. Widyawati, S. Suparman, K. Imama, and R. Umam, “Mathematical Representation: A Bibliometric Mapping of the Research Literature (2013–2022),†Infinity J., vol. 13, no. 1, pp. 1–26, 2024, doi: 10.22460/infinity.v13i1.p1-26.

M. Munifah, I. Tsani, M. Yasin, H. S. Tortop, E. K. Palupi, and R. Umam, “Management System of Education: Conceptual Similarity (Integration) Between Japanese Learning System and Islamic Learning System in Indonesia,†Tadris: J. Keguruan dan Ilmu Tarbiyah, vol. 4, no. 2, pp. 159–170, 2019, doi: 10.24042/tadris.v4i2.4893.

N. Nurulsari, Abdurrahman, H. Maulina, I. Sukamto, and R. Umam, “Exploring the Prospective of Pre-Service Physics Teacher’s Pedagogical Content Knowledge: A Case Study,†J. Phys.: Conf. Ser., vol. 1467, no. 1, Art. no. 012023, 2020, doi: 10.1088/1742-6596/1467/1/012023.

F. Lestari, Dalman, Noprisa, D. Efendi, I. Ariyanti, B. Anggara, and R. Umam, “The Effectiveness of Math Learning Based on Multiple Intelligence: Implications at MTs Darul Ma’wa,†AIP Conf. Proc., vol. 2438, no. 1, Art. no. 020001, 2021, doi: 10.1063/5.0071296.

I. P. Hardini, A. Saregar, Subandi, A. Anugrah, M. R. Fitri, V. R. Panse, R. Umam, and S. Huda, “Development of Electronic Student Worksheet on Disaster-Based Waves for Eleventh-Grade Senior High School Students,†AIP Conf. Proc., vol. 3226, no. 1, Art. no. 020023, 2026, doi: 10.1063/5.0329108.

S. Huda, L. Anggraini, R. D. Saputri, M. Syazali, and R. Umam, “Learning Model to Improve the Ability to Understand Mathematical Concepts,†PRISMA, vol. 8, no. 2, pp. 173–181, 2019.

S. Huda, M. Munifah, and R. Umam, “Think Talk Write (TTW) Learning Model on Thinking Skills, Creativity, and Problem Solving,†J. Gifted Educ. Creativity, vol. 7, no. 1, pp. 25–32, 2020.

S. Huda, M. Munifah, M. Syazali, S. S. Rahayu, and R. Umam, “The Effectiveness of Two Stay Two Stray, Somatic, Auditory, Visualization, Intellectually, and Auditory Learning to Improving Numerical Ability,†Humanit. Soc. Sci. Rev., vol. 8, no. 4, pp. 431–441, 2020, doi: 10.18510/hssr.2020.8442.

S. Huda, M. U. Ridwanulloh, U. Karomah, R. E. Febrian, E. Kurniasari, U. F. Laili, and R. Umam, “Effectiveness of Physics Exams Using Smartphone-Based Test System in Senior High School of MAN 1 Kediri City, Indonesia,†AIP Conf. Proc., vol. 3226, no. 1, Art. no. 020059, 2026, doi: 10.1063/5.0333689.




DOI: https://doi.org/10.36269/hjrme.v9i2.4587

Refbacks

  • There are currently no refbacks.


Hipotenusa Journal of Research Mathematics Education (HJRME) indexed by:

Hipotenusa Journal of Research Mathematics Education (HJRME) is licensed under a Creative Commons Attribution 4.0 International (CC BY 4.0).Copyright@ Universitas Muhammadiyah Lampung. p-ISSN 2621-0630 | e-ISSN 2723-486X