Improving Critical Thinking and Self-Confidence of Elementary Students through a Constructivist GASING Method Across School Levels
DOI:
https://doi.org/10.51278/aj.v8i3.2438Keywords:
GASING Method, Constructivism, Critical Thinking, Self-Confidence, Elementary MathematicsAbstract
Critical thinking and self-confidence are cognitive and affective competencies elementary students need, yet both remain underdeveloped in Indonesian mathematics classrooms. This study examined the effect of the GASING (Gampang, Asyik, Menyenangkan) method, integrated with a constructivist approach, on fifth-grade students' critical thinking skills and self-confidence in multiplication, and tested whether these effects differed across school levels. A quasi-experimental, one-group time-series design was used with 94 students purposively sampled from five public elementary schools in Kubutambahan District, Bali, representing high, medium, and low school levels. Students completed three repeated pretests, received treatment through GASING's concrete, abstract, and mental-arithmetic stages embedded in a constructivist sequence, and completed three repeated posttests using expert-validated instruments. Paired-samples t-tests showed statistically significant, very-large improvements in both critical thinking, t(93) = 26.40, p < .001, d = 2.72, N-Gain = 0.57, and self-confidence, t(93) = 39.99, p < .001, d = 4.12, N-Gain = 0.69. One-way ANOVAs revealed significant differences in gain across school levels for both outcomes: for critical thinking, medium-level schools gained significantly more than high-level schools, F(2, 91) = 4.27, p = .017; for self-confidence, both high- and medium-level schools gained significantly more than the low-level school, F(2, 91) = 16.01, p < .001. Non-parametric robustness checks corroborated all findings. These results confirm the effectiveness of the GASING-constructivist method for developing both competencies, while showing that the magnitude of benefit is moderated differently by school-level context, a nuance rarely examined in prior GASING research.
References
Abraham, I., & Supriyati, Y. (2022). Desain kuasi eksperimen dalam pendidikan: literatur. Jurnal Ilmiah Mandala Education, 8(1), 1-10. http://dx.doi.org/10.36312/jime.v8i2.3127
Agusfian, R., & Pratiwi, I. M. (2022). Pengenalan metode Gasing guna mempermudah pembelajaran matematika SD dan SMP di Kelurahan Ciseureuh RW 14. Proceedings UIN Sunan Gunung Djati Bandung, 1(79), 158-166.
Amtiran, C. A., Nahak, K. E. N., & Susanti, L. (2024). Pengaruh penggunaan metode pembelajaran GASING terhadap hasil belajar matematika siswa kelas III SDI Sikumana 2. J-CEKI: Jurnal Cendekia Kajian Ilmiah, 4(1), 45-56.
Arib, M. F., Rahayu, M. S., & Sidorj, R. A. (2024). Experimental research dalam penelitian pendidikan. Innovative: Journal of Social Science Research, 4(1), 10-20. https://doi.org/10.31004/innovative.v4i1.8468
Diatmika, I. P., & Sudirman, I. N. (2025). Analisis kemampuan berpikir kritis siswa dalam pembelajaran IPAS di sekolah dasar kelas V SDN 2 Batur. Jurnal Pendidikan DEIKSIS, 7(1). https://doi.org/10.59789/deiksis.v7i1.263
Cronbach, L. J. (1951). Coefficient alpha and the internal structure of tests. Psychometrika, 16(3), 297-334. https://doi.org/10.1007/BF02310555
Devi, N. K. L. (2024). Analisis pelaksanaan kegiatan numerasi dengan metode Matematika Gasing yang dikaitkan dengan permainan tradisional pada siswa kelas 4 SD N 1 Demulih. Pentagon: Jurnal Matematika dan Ilmu Pengetahuan Alam, 2(4), 78-94. https://doi.org/10.62383/pentagon.v2i4.289
Ennis, R. H. (1985). A logical basis for measuring critical thinking skills. Educational Leadership, 43(2), 44-48.
Fauziah, N. (2019). Pengaruh pembelajaran hafalan terhadap kemampuan berpikir kritis siswa sekolah dasar. Jurnal Pendidikan Dasar, 10(2), 112-120.
Firdaus, F., Sugilar, H., & Djati, H. (2023). Pendekatan konstruktivisme dalam pembelajaran matematika untuk meningkatkan keterampilan berpikir kritis siswa. Jurnal Cendekia: Pendidikan Matematika, 7(1), 55-67.
Fisher, A. (2008). Berpikir kritis: sebuah pengantar (B. Molan, Trans.). Erlangga.
Gesiradja, M. C., Sudiapermana, E., Lutfiansyach, D. Y., & Shantini, Y. (2025). Evaluating the effectiveness, challenges, and contextual applications of the Gasing Mathematics Method in Indonesia: A systematic literature review. Pedagogia Jurnal Ilmu Pendidikan, 23(3), 318-335. https://doi.org/10.17509/pdgia.v23i3.89961
Gusmara, E., Prihantini, & Sukardi, R. R. (2025). The GASING method has successfully improved numeration ratio in various regions of Indonesia. Multidiciplinary Output Research for Actual and International Issue (MORFAI), 6(2), 1476-1488. https://doi.org/10.5281/zenodo.18725598
Hake, R. R. (1998). Interactive-engagement versus traditional methods: A six-thousand-student survey of mechanics test data for introductory physics courses. American Journal of Physics, 66(1), 64-74.
Hamama, S., & Ratri, R. K. (2021). Strategi meningkatkan rasa percaya diri bagi pemula: Kunci sukses berkomunikasi. Jurnal Selasar KPI, 2(1), 45-57. https://doi.org/10.33507/selasar.v1i1.1886
Hastjarjo, T. D. (2019). Rancangan eksperimen-kuasi. Buletin Psikologi, 27(2), 187-203. https://doi.org/10.22146/buletinpsikologi.38619
Hastuti, D. (2019). Pengaruh kepercayaan diri terhadap kemampuan komunikasi siswa sekolah dasar. Jurnal Pendidikan Dasar, 10(2), 45-53.
Hidayah, N., Sutriyani, E., & Lestari, F. (2024). Implementasi metode GASING berbantuan media inovatif terhadap hasil belajar matematika dan keterampilan berpikir kritis siswa. Jurnal Pendidikan Matematika Indonesia, 9(2), 101-112. https://doi.org/10.26877/aks.v15i3.19766
Hidayati, N. (2020). Peran kepercayaan diri dalam meningkatkan partisipasi belajar siswa SD. Jurnal Ilmiah Pendidikan, 8(1), 112-120.
Hidayati, N., & Susanto, H. (2020). Lingkungan belajar dan pengaruhnya terhadap rasa percaya diri siswa sekolah dasar. Jurnal Pendidikan Dasar, 11(2), 134-142.
Kementerian Pendidikan, Kebudayaan, Riset, dan Teknologi. (2024). Laporan hasil Asesmen Nasional 2024. Kemendikbudristek.
Kusuma, M. W. K., Jampel, I. N., & Bayu, G. W. (2018). Pengaruh metode pembelajaran matematika gasing terhadap hasil belajar matematika. Jurnal Pedagogi dan Pembelajaran, 1(1), 37-46. https://doi.org/10.23887/jp2.v1i1.19330
Latifah, N., Utama, A. H., & Qomario, Q. (2024). Optimalisasi kemampuan berpikir kritis melalui metode flipped classroom: Systematic literature review. JIIP, 7(8), 8174-8184. https://doi.org/10.54371/jiip.v7i8.4970
Lestari, O. R., & Hardini, A. T. A. (2022). Keefektifan metode matematika gasing dalam meningkatkan kemampuan pemahaman konsep matematis perkalian dua digit untuk siswa kelas VI SD. Jurnal Kewarganegaraan, 6(2), 2498-2506.
Maharudin, L. O., Wahyudin, & Heryani, R. (2026). The influence of applying the GASING method on the addition skills of third-grade elementary school students in Batauga District, South Buton Regency. Journal of Educational Sciences, 10(2), 2245-2261. https://doi.org/10.31258/jes.10.2.p.2245-2261
Mahendra, I. G. F. D., & Dewi, D. A. (2026). The implementation of the GASING method integrated with the Megowak-Gowakan game: A one-group pretest-posttest study on mathematics anxiety of elementary students. Journal of Educational Sciences, 10(4), 207-218. https://doi.org/10.31258/jes.10.4.p.207-218
Marini, A., & Hamidah, A. (2020). Critical thinking skills and confidence in mathematics problem solving of elementary students. International Journal of Instruction, 13(4), 365-378.
Matahelumual, M. M. E. (2025). Analisis pengaruh penggunaan metode Gasing terhadap pemahaman matematis siswa di sekolah dasar. Pendas: Jurnal Ilmiah Pendidikan Dasar, 10(3). https://doi.org/10.23969/jp.v10i03.30780
Maulida, S. A., Isrokatun, I., & Julia, J. (2024). Pengaruh pembelajaran kooperatif TGT dengan metode GASING terhadap pemahaman konsep matematis perkalian dua angka di SD. SJME, 8(1), 45-56. https://doi.org/10.35706/sjme.v8i1.10789
Melyana, F., & Pujiastuti, H. (2020). Hubungan kepercayaan diri dengan kemampuan berpikir kritis matematis siswa. Jurnal Pendidikan Matematika, 14(2), 115-124.
Moan, F. C., Prihantini, & Jenuri. (2026). Effectiveness GASING method in learning mathematics elementary school: Review library systematic based on Prisma 2020 protocol. IJEVSS, 5(3), 4330-4348.
Mutiarawati, A. (2019). Pengaruh pendekatan konstruktivisme terhadap karakter kepercayaan diri siswa dalam pembelajaran matematika di SMPN 15 Kota Bekasi. Jurnal Pendidikan MIPA, 9(2), 112-119. https://doi.org/10.37630/jpm.v9i2.228
Novita, L. (2021). Pengaruh konsep diri terhadap kepercayaan diri siswa. Jurnal Pendidikan dan Pengajaran Guru Sekolah Dasar (JPPGSD), 4(2), 101-108.
Nurnaningsih, N., Hanum, C. B., Sopandi, W., & Sujana, A. (2023). Keterampilan berpikir kritis dan berpikir kreatif siswa sekolah dasar dalam pembelajaran berbasis RADEC. Jurnal Basicedu, 7(1), 872-879.
OECD. (2023). PISA 2022 results (Volume I): The state of learning and equity in education. OECD Publishing. https://doi.org/10.1787/53f23881-en
Permana, E. P. (2018). Pengaruh media sosial sebagai sumber belajar IPS terhadap motivasi belajar, kemampuan berpikir kritis dan berpikir kreatif siswa sekolah dasar. PINUS, 4(1). https://doi.org/10.29407/pn.v4i1.12431
Piaget, J. (1970). Science of education and the psychology of the child. Orion Press.
Pratiwi, Y., Herlambang, Y. T., Yuniarti, Y., & Bakar, A. (2026). Transformation of elementary school students' mathematics learning outcomes using the GASING method in a critical pedagogical approach. Journal of Educational Sciences, 10(4), 195-206. https://doi.org/10.31258/jes.10.4.p.195-206
Puspitasari, R., Basori, M., & Aka, K. A. (2022). Studi kasus rasa kurang percaya diri pada siswa kelas tinggi SDN 3 Tanjungtani [Undergraduate thesis, Universitas Nusantara PGRI Kediri].
Rahmawati, T., & Ningsih, L. (2022). Hubungan kepercayaan diri dengan keberanian siswa dalam mengemukakan pendapat di kelas. Jurnal Psikologi Pendidikan, 14(3), 233-242.
Rohmat, A. N., & Lestari, W. (2019). Pengaruh konsep diri dan percaya diri terhadap kemampuan berpikir kritis matematis. JKPM, 5(1), 73-84.
Safitri, R. M., & Sutiarso, S. (2023). Hubungan antara kepercayaan diri dan kemampuan berpikir kritis dalam pembelajaran: Studi di SMA Negeri 1 Sumberejo. Edumatica, 13(2), 94-103.
Sanjaya, W. (2021). Strategi pembelajaran berorientasi standar proses pendidikan. Prenadamedia Group.
Sari, A., & Wulandari, R. (2021). Kepercayaan diri sebagai determinan motivasi belajar siswa sekolah dasar. Jurnal Pendidikan Dasar Indonesia, 6(1), 77-85.
Sariaman, S., Sabri, T., & Sapriati, A. (2021). Pembelajaran tematik terpadu berbasis pengembangan berpikir kritis dan berpikir kreatif pada siswa kelas V sekolah dasar. EduHumaniora, 13(2). https://doi.org/10.17509/eh.v13i2.35881
Sihombing, J. H., Agustin, M., & Muqodas, I. (2026). The GASING concrete-abstract-mental computation sequence: Learning outcomes and arithmetic fluency in elementary mathematics. Jurnal Pembelajaran, Bimbingan, dan Pengelolaan Pendidikan, 6(8). https://doi.org/10.17977/um065.v6.i8.2026.7
Solichin, M. N., & Tyas, D. N. (2025). Pengaruh model pembelajaran berbasis proyek terhadap kemampuan berpikir kritis siswa kelas V pada mata pelajaran IPAS. JIIP, 8(9), 11002-11007. https://doi.org/10.54371/jiip.v8i9.9343
Sulaiman, A., & Hasanah, U. (2020). Teacher centered learning and its impact on students' critical thinking skills. Jurnal Ilmiah Pendidikan, 7(1), 45-54.
Surya, Y. (2013). Modul Pelatihan Matematika Gasing SD. PT. Kandel.
Susanti, R., & Rohman, F. (2025). Peningkatan kemampuan berpikir kritis dengan mengembangkan LKPD berbasis Problem Based Learning (PBL) kelas 2 sekolah dasar. Pendas, 10(3), 514-527. https://doi.org/10.23969/jp.v10i3.28196
Sutrisno, S., & Jazuli, A. (2022). Pembelajaran eksperimen terhadap kemampuan berpikir kreatif dan berpikir kritis siswa sekolah dasar. JPDK, 4(5). https://doi.org/10.31004/jpdk.v4i5.6642
Suyudi, A. (2022). Metode GASING dan relevansinya dengan pembelajaran matematika abad ke-21. Jurnal Inovasi Pendidikan Matematika, 5(3), 210-220.
Tartillah, R., Herlambang, Y. T., Irianto, D. M., & Sukardi, R. R. (2025). Metode GASING dalam perspektif pedagogik futuristik: Menumbuhkan kecakapan numerasi Abad 21. Dwija Cendekia, 9(3), 540-555. https://doi.org/10.20961/jdc.v9i2.106719
Vygotsky, L. S. (1978). Mind in society: The development of higher psychological processes. Harvard University Press.
Wati, D. P., Nugroho, A., & Febrianti, R. (2025). Penggunaan model Problem Based Learning untuk meningkatkan hasil belajar siswa kelas III pada mata pelajaran IPAS. SHES: Conference Series, 8(3). https://doi.org/10.20961/shes.v8i3.108130
Widodo, S. A., & Turmudi, T. (2017). Improving students' self-confidence through GASING method in mathematics learning. Journal of Physics: Conference Series, 755(1), 011001.
Yuliati, C. L., & Susianna, N. (2023). Penerapan model pembelajaran discovery learning dalam meningkatkan keterampilan proses sains, berpikir kritis, dan percaya diri siswa. Scholaria, 13(1), 45-56. https://doi.org/10.24246/j.js.2023.v13.i1.p48-58
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2026 I Gede Fajar Dian Mahendra, Dede Margo Irianto, Dede Trie Kurniawan

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

