Comparison of Student’s Mathematical Problem-Solving Ability between Realistic Mathematics Education Assisted by GeoSpace and Direct Instruction

https://doi.org/10.51574/kognitif.v5i4.3340

Authors

  • Febi Ayumni Department of Mathematics Education, Faculty of Teacher Training and Education, Universitas Muria Kudus
  • Himmatul Ulya Department of Mathematics Education, Faculty of Teacher Training and Education, Universitas Muria Kudus https://orcid.org/0000-0002-0975-1519
  • Sumaji Department of Mathematics Education, Faculty of Teacher Training and Education, Universitas Muria Kudus https://orcid.org/0000-0002-0299-3398

Keywords:

GeoSpace, Mathematical Problem-Solving Skills, Realistic Mathematics Education (RME)

Abstract

This study compares students’ mathematical problem-solving skills between those taught using the GeoSpace-assisted Realistic Mathematics Education (RME) model and those taught through direct instruction. A quantitative approach with a quasi-experimental nonequivalent control group design was employed. The participants were two eighth-grade classes at a junior high school, with one class assigned as the experimental group and the other as the control group. Mathematical problem-solving skills were measured using an essay test based on NCTM indicators: understanding problems, planning strategies, implementing solutions, and reviewing results. The instrument demonstrated adequate validity and reliability. The experimental group received instruction using the RME model supported by the GeoSpace application, while the control group received direct instruction without digital media. Data analysis using an independent samples t-test showed that the experimental group achieved significantly higher posttest scores than the control group (p < 0.05), with a moderate effect size. In addition, learning gains in the experimental group were higher than those in the control group. These findings indicate that the GeoSpace-assisted RME model is more effective in improving students’ mathematical problem-solving skills than direct instruction. The use of realistic contexts and interactive visual representations supports students’ conceptual understanding. However, as the study involved only two classes, further research with a broader sample is recommended to strengthen the generalizability of the results.

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Author Biographies

Febi Ayumni, Department of Mathematics Education, Faculty of Teacher Training and Education, Universitas Muria Kudus

Department of Mathematics Education, Faculty of Teacher Training and Education, Universitas Muria Kudus

Himmatul Ulya, Department of Mathematics Education, Faculty of Teacher Training and Education, Universitas Muria Kudus

Department of Mathematics Education, Faculty of Teacher Training and Education, Universitas Muria Kudus

Sumaji, Department of Mathematics Education, Faculty of Teacher Training and Education, Universitas Muria Kudus

Department of Mathematics Education, Faculty of Teacher Training and Education, Universitas Muria Kudus

References

Adim, A., & Nafi’ah, J. (2025). Pengaruh Kompetensi Profesional Guru terhadap Hasil Belajar Siswa pada Pendidikan Pancasila. Pedagogik Journal of Islamic Elementary School, 694–707. https://doi.org/10.24256/pijies.v8i2.7800

Anis Sulistifa, Purnomo, E. A., & Prihaswati, M. (2025). Systematic Literature Review Kemampuan Pemecahan Masalah Matematis dalam HOTS. Proximal: Jurnal Penelitian Matematika Dan Pendidikan Matematika, 8(3), 749–759. https://doi.org/10.30605/proximal.v8i3.5836

Apriyani, cici. (2017). Pengaruh Pendekatan Realistic Mathematics Education (RME) Terhadap Hasil Belajar Siswa Pada Mata Pelajaran Matematika Kelas IV. 11–31.

Asmaarobiyah, R., Rosmilawati, I., & Juansah, D. E. (2025). Pendekatan Pendidikan Matematika melalui Realistic Mathematics Education (RME) di Sekolah Dasar: Systematic Literature Review. Journal of Instructional and Development Researches, 5(3), 251–267. https://doi.org/10.53621/jider.v5i3.527

Ayunda Lingga Pranova, Muntholib, M., & Dasianto, D. (2025). Upaya Meningkatkan Kecerdasan Visual-Spasial Siswa Kelas X melalui Penggunaan Simulator Interaktif pada Materi Bentuk Molekul. JURNAL PENDIDIKAN MIPA, 15(2), 741–750. https://doi.org/10.37630/jpm.v15i2.2805

Efendi, R., Inayah, S., Mardhotillah, B., Sholeh, R. N., Kulimbang, E., & Panjaitan, A. T. (2025). BELAJAR-DAN-PEMBELAJARAN-MATEMATIKA (V. Fitriani, Ed.). U ME Publishing. https://www.researchgate.net/profile/Shorihatul-Inayah/publication/393073721_BELAJAR_DAN_PEMBELAJARAN_MATEMATIKA/links/685e4e4339c358351205046e/BELAJAR-DAN-PEMBELAJARAN-MATEMATIKA.pdf

Faraditha, O. :, Dewi, K., Kartikasari, F. A., Dwi, S., & Sari, P. (2025). Analisis Kemampuan Pemecahan Masalah Matematika Siswa Kelas VII SMP PGRI 9 Jakarta pada Materi Perbandingan. Jurnal Media Akademik (JMA), 3(1), 3031–5220. https://doi.org/10.62281

Fitrianty, F., Yunita, A., & Juwita, R. (2022). Pengembangan Instrumen Tes Kemampuan Pemecahan Masalah Matematika di SMP Negeri 12 Padang. Lattice Journal : Journal of Mathematics Education and Applied, 2(1), 91. https://doi.org/10.30983/lattice.v2i1.5337

Hayati, M., & Jannah, M. (2024). Pentingnya kemampuan literasi matematika dalam pembelajaran matematika. Journal of Mathematics Education and Application, 4(1), 40. https://mathjournal.unram.ac.id/index.php/Griya/indexGriya

Indah Suciati. (2021). Permainan “Ular Tangga Matematika” Pada Materi Bilangan Pecahan. Kognitif: Jurnal Riset HOTS Pendidikan Matematika, 1(1), 10–21. https://doi.org/10.51574/kognitif.v1i1.5

Julia, M. A., Fitriani, N., & Setiawan, R. (2024). Proses Pembelajaran Konstruktivisme yang Bersifat Generatif di Sekolah Dasar. Jurnal Pendidikan Guru Sekolah Dasar, 1(3), 7. https://doi.org/10.47134/pgsd.v1i3.519

Lestari, A. P., Fitriani, N., Bernard, M., Siliwangi, I., Terusan, J., & Sudirman, J. (2025). Penerapan Pendekatan Realistic Matematics Education (RME) Berbantuan Teknologi Interaktif untukMeningkatkan Kemampuan Pemecahan Masalah Matematis Siswa Kelas VIII. 8(1). https://doi.org/10.22460/jpmi.v8i1.24468

Lestari, K. E., & Yudhanegara, M. R. (2015). Analisis Kemampuan Representasi Matematis Mahasiswa pada. 13(1), 28–33. https://doi.org/10.24198/jmi.v13.n1.11410.28-33

Lusianisita, R., & Rahaju, E. B. (2020). Proses Berpikir Siswa SMA dalam Menyelesaikan Soal Matematika Ditinjau dari Adversity Quotient. Jurnal Penelitian Pendidikan Matematika Dan Sains, 4(2), 94–102. http://journal.unesa.ac.id/index.php/jppms/

Mandar, Y., & Sihono. (2025). Implementasi Teori Konstruktivisme dalam PAI: Kajian Teori Jean Piaget dan Jerome Bruner. Jurnal Tarbiyah Islami, 10. https://ejournal.stairu.ac.id/index.php/raudhah/article/view/829

Mauleto, K. (n.d.). Analisis Kemampuan Pemachan Masalah Ditinjau dari Indikator NCTM dan Aspek Berpikir Ktritis Matematika Siswa di Kelas 7B SMP Kanisius Kalasan. Jurnal Ilmiah Pendidikan Matematika, 4(2), 125–134. Retrieved November 27, 2025, from https://scholar.archive.org/work/vre6le6f45eu5j4pmrryopugo4/access/wayback/http://journal.upgris.ac.id/index.php/JIPMat/article/download/4261/2794

Melati, B. P., Sudargo, Zuhri, M. S., & Nursyahidah, F. (2024). Menentukan Jarak Titik ke Titik: Pendekatan RME Berbantuan Geogebra. Jurnal Cendekia: Jurnal Pendidikan Matemtika, 8(2). https://eprints3.upgris.ac.id/id/eprint/4266/1/Berliana%20Putri%20Melati%20.pdf

Nasution, S. R., & Mujib, A. (2022). Peningkatan Kemampuan Pemecahan Masalah Matematis dan Kemandirian Belajar Siswa Melalui PembelajaranBerbasis Masalah. Edumaspul - Jurnal Pendidikan, 6(2). https://download.garuda.kemdikbud.go.id/article.php?article=2476335&val=13953&title=Peningkatan%20Kemampuan%20Pemecahan%20Masalah%20Matematis%20dan%20Kemandirian%20Belajar%20Siswa%20Melalui%20Pembelajaran%20Berbasis%20Masalah

Noviyana, H., & Fitriani, D. (2018). Pengaruh Model Realistic Mathematics Education (RME) Terhadap Kemampuan Pemecahan Masalah Matematis Siswa Kelas VIII SMP. https://journal.unsika.ac.id/index.php/sesiomadika/article/view/2511

Nuralan, S. (2022). Implementasi Penilaian Pembelajaran Kurikulum. Dalam Meningkatkan Partisipasi Aktif Siswa SDN 1 Buga, 4(1), 31–42. https://ojs.umada.ac.id/index.php/Tolis_Ilmiah/article/view/210

Nurwahid, M., Ashar, S., & Awantagusnik, A. (2025). Pembelajaran Realistic Mathematics Education (RME) Berbasis Literasi Numerasi: Strategi dan Tantangan. Jurnal Tadris Matematika, 3(1). https://ejournal.alqolam.ac.id/index.php/CONSISTAN

OECD. (2019). PISA 2018 Result. www.oecd.org/about/publishing/corrigenda.htm.

Pristiwanti, D., Badariah, B., Hidayat, S., & Dewi, R. S. (2022). Pengertian Pendidikan. Jurnal Pendidikan Dan Konseling, 4(6), 7911–7915. http://repo.iain-

Purwati, R. (2020). Potensi Pengembangan Komunikasi Matematis Siswa Sekolah Dasar Melalui Pendekatan Realistic Mathematic Education. EduBase : Journal of Basic Education, 1(2), 1. https://doi.org/10.47453/edubase.v1i2.168

Ramadhani, N., Ritonga, M. W., Pasaribu, E. Z., & Rahmi, S. Y. (2022). Pengaruh Pembelajaran Kooperatif Tipe STAD terhadap Kemampuan Pemecahan Masalah Matematis Siswa. Lattice Journal : Journal of Mathematics Education and Applied, 2(2), 154. https://doi.org/10.30983/lattice.v2i2.6014

Rismawati, M., Rahmawati, P., & Rindiani, A. B. (2022). Analisis Kemampuan Berpikir Tingkat Tinggi dalam Pemecahan Masalah Matematika Berbasis Higher Order Thinking Skill (HOTS). 06(02), 2134–2143.

Saedi, M., Mokat, S., & Herianto. (2011). Teori Pemecahan Masalah Polya dalam Pembelajaran Matematika. Sigma (Suara Intelektual Gaya Matematika), 3(1). https://download.garuda.kemdikbud.go.id/article.php?article=2564034&val=8199&title=TEORI%20PEMECAHAN%20MASALAH%20POLYA%20DALAM%20PEMBELAJARAN%20MATEMATIKA

Samho, B., & Princessa, M. (2025). Relevansi Filsafat Pendidikan Pragmatisme dalam Kurikulum Merdeka bagi Pengembangan Karakter Peserta Didik. 10(1), 350–367. https://doi.org/10.21067/jmk.v9i1.11835

Suhendra, F., & Ermanto, R. (2024). Pengaruh Kecerdasan Emosional Guru terhadap Kualitas Interaksi di Kelas. Jurnal Pendidikan Merdeka Belajar, 2(1). https://ejournal.marqchainstitute.or.id/index.php/merdeka

Utami, K. C., Efendi, U., Abung, M., & Nurwahidin, M. (2025). Pengaruh Pendekatan Realistic Mathematics Education (RME) Berbantuan Media Educandy terhadap Hasil Belajar Matematika Siswa SD. JURNAL RISET PEMBELAJARAN MATEMATIKA SEKOLAH, 9(2), 76–87. https://doi.org/10.21009/jrpms.092.08

Published

2025-12-30

How to Cite

Ayumni, F., Ulya, H., & Sumaji, S. (2025). Comparison of Student’s Mathematical Problem-Solving Ability between Realistic Mathematics Education Assisted by GeoSpace and Direct Instruction. Kognitif: Jurnal Riset HOTS Pendidikan Matematika, 5(4), 1705–1719. https://doi.org/10.51574/kognitif.v5i4.3340

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