Mathematical Reasoning Ability of Junior High School Students: Application of Discovery Learning Model

Authors

  • Andika Prasetyo Mokoginta Program Studi Pendidikan Matematika, Universitas Negeri Gorontalo
  • Evi P. Hulukati Program Studi Pendidikan Matematika, Universitas Negeri Gorontalo
  • Putri Ekawaty Kobandaha Program Studi Pendidikan Matematika, Universitas Negeri Gorontalo

DOI:

https://doi.org/10.51574/ijrer.v4i3.2951

Keywords:

Discovery Learning, Junior High School, Mathematical Reasoning, Learning Model

Abstract

Mathematical reasoning ability is necessary for solving mathematical problems. Therefore, the intent of this study is to enhance students' mathematical reasoning ability through the application of a discovery learning model focused on quadratic function material. This research is Classroom Action Research, designed by Kemmis and McTaggart. The research subjects were 32 students of grade IX at Public Junior High School 1 Tapa. This study used tests for mathematical reasoning, teacher and student activity observation sheets, and questionnaires. The data was analyzed quantitatively and qualitatively using percentages. The findings of this study indicate an increase in students' mathematical reasoning ability after applying the discovery learning model. Teacher activities in cycle I with a percentage of 73.68% increasing in cycle II to 89.47%; student activities in cycle I with a percentage of 72.50% increasing in cycle II to 87.50%; questionnaire results in cycle I only 20 people with a percentage of 62.50% increasing in cycle II to 28 people with a percentage of 87.50%; and the results of students' reasoning ability in cycle I only 23 people with a percentage of 71.87% increasing in cycle II to 28 people with a percentage of 90.62%. There were still 4 people with a percentage of 9.28% who scored <75. In cycle II, the teacher activities, student activities, questionnaires, and reasoning skills met the success indicators.

References

Ariati, C., & Juandi, D. (2022). Kemampuan Penalaran Matematis: Systematic Literature Review. Jurnal Lemma, 8(2), 61–75. https://doi.org/10.22202/jl.2022.v8i2.5745

Bayat, M., Banihashem, S. K., & Noroozi, O. (2022). The effects of collaborative reasoning strategies on improving primary school students’ argumentative decision-making skills. The Journal of educaTional research, 115(6), 349-358. https://doi.org/10.1080/00220671.2022.2155602

Cahyani, N. D., & Sritresna, T. (2023). Kemampuan penalaran matematis siswa dalam menyelesaikan soal cerita. Jurnal Inovasi Pembelajaran Matematika: PowerMathEdu, 2(1), 103–112. https://doi.org/10.31980/powermathedu.v2i1.2720

Castañeda, L. E. G., Sklarek, B., Dal Mas, D. E., & Knauff, M. (2023). Probabilistic and deductive reasoning in the human brain. NeuroImage, 275, 120180. https://doi.org/10.1016/j.neuroimage.2023.120180

Danişman, Ş., & Erginer, E. (2017). The predictive power of fifth graders’ learning styles on their mathematical reasoning and spatial ability. Cogent Education, 4(1), 1266830. https://doi.org/10.1080/2331186X.2016.1266830

Ellis, A., Özgür, Z., & Reiten, L. (2019). Teacher moves for supporting student reasoning. Mathematics Education Research Journal, 31, 107-132. https://doi.org/10.1007/s13394-018-0246-6

Fauziah, N., Sunaryo, Y., & Ruswana, A. M. (2021). Analisis Kemampuan Penalaran Matematis Berdasarkan Gaya Belajar Siswa. J-KIP (Jurnal Keguruan dan Ilmu Pendidikan), 2(3), 119. https://doi.org/10.25157/j-kip.v2i3.6197

Grootenboer, P., Edwards-Groves, C., & Kemmis, S. (2023). A curriculum of mathematical practices. Pedagogy, Culture & Society, 31(3), 607-625. https://doi.org/10.1080/14681366.2021.1937678

Habsah, F. (2017). Developing teaching material based on realistic mathematics andoriented to the mathematical reasoning and mathematical communication. Jurnal Riset Pendidikan Matematika, 4(1), 43-55. https://doi.org/10.21831/jrpm.v4i1.10199

Hasbi, M., Lukito, A., & Sulaiman, R. (2019). Mathematical connection middle-school students 8th in realistic mathematics education. In Journal of Physics: Conference Series (Vol. 1417, No. 1, p. 012047). IOP Publishing. https://doi.org/10.1088/1742-6596/1417/1/012047

Hasbi, M., Lukito, A., Sulaiman, R., & Muzaini, M. (2019). Improving the mathematical connection ability of middle-school students through realistic mathematics approach. Journal of Mathematical Pedagogy (JoMP), 1(1), 37-46. https://doi.org/10.26740/jomp.v1n1.p37-46

Jeannotte, D., & Kieran, C. (2017). A conceptual model of mathematical reasoning for school mathematics. Educational Studies in mathematics, 96, 1-16. https://doi.org/10.1007/s10649-017-9761-8

Julfianto, M., Suanto, E., & Siregar, S. N. (2022). Developing Problem Based Learning Device to Grow Students' Mathematical Critical Thinking Ability. Jurnal Gantang, 7(2), 173-184. https://doi.org/10.31629/jg.v7i2.5318

Kilpatrick, J. (2020). Competency frameworks in mathematics education. In Encyclopedia of mathematics education (pp. 110-113). Cham: Springer International Publishing. https://doi.org/10.1007/978-3-030-15789-0_27

Kusumah, H., Maspupah, M., & Mas’ud, A. (2023). Respon Siswa Terhadap Model Pembelajaran Discovery Learning Berbantu Wordwall Pada Materi Sistem Pertahanan Tubuh. In Gunung Djati Conference Series (Vol. 30, pp. 66-71). https://conferences.uinsgd.ac.id/index.php/gdcs/article/view/1838

Listyotami, M. K., Noer, S. H., & Haenilah, E. Y. (2018). Discovery learning to develop student reflective thinking ability and self-efficacy. Al-Jabar: Jurnal Pendidikan Matematika, 9(1), 73-84. https://doi.org/10.24042/ajpm.v9i1.2839

Maass, K., Geiger, V., Ariza, M. R., & Goos, M. (2019). The role of mathematics in interdisciplinary STEM education. Zdm, 51, 869-884. https://doi.org/10.1007/s11858-019-01100-5

Mendrofa, N. K., & Mendrofa, R. N. (2022). Pengaruh Model Pembelajaran Discovery Learning dengan Pendekatan Saintifik terhadap Kemampuan Penalaran Matematis Siswa SMP. Jurnal education and development, 10(2), 535-537. https://journal.ipts.ac.id/index.php/ED/article/view/3782

Muhammad, I., & Juandi, D. (2023). Discovery Learning Research in Mathematics Learning (1968-2023): A Bibliometric Review. Hipotenusa: Journal of Mathematical Society, 5(2), 197-214. https://doi.org/10.18326/hipotenusa.v5i2.396

Mukuka, A., Balimuttajjo, S., & Mutarutinya, V. (2023). Teacher efforts towards the development of students’ mathematical reasoning skills. Heliyon, 9(4). https://doi.org/10.1016/j.heliyon.2023.e14789

Muslimin, M., & Sunardi, S. (2019). Analisis kemampuan penalaran matematika siswa sma pada materi geometri ruang. Kreano, Jurnal Matematika Kreatif-Inovatif, 10(2), 171-178. https://doi.org/10.15294/kreano.v10i2.18323

Olsson, J., & Granberg, C. (2024). Teacher-student interaction supporting students’ creative mathematical reasoning during problem solving using Scratch. Mathematical Thinking and Learning, 26(3), 278-305. https://doi.org/10.1080/10986065.2022.2105567

Permana, N. N., Setiani, A., & Nurcahyono, N. A. (2020). Analisis kemampuan penalaran adaptif siswa dalam menyelesaikan soal Higher Order Thinking Skills (HOTS). Jurnal Pengembangan Pembelajaran Matematika, 2(2), 51-60. https://doi.org/10.14421/jppm.2020.22.51-60

Prastika, K. Y., Abbas, N., Ismail, Y., & Majid, M. (2023). Meningkatkan Hasil Belajar Matematika Menggunakan Model Penemuan Terbimbing Materi Persamaan Garis Lurus Kelas VIII. Innovative: Journal Of Social Science Research, 3(2), 13917-13932. http://j-innovative.org/index.php/Innovative/article/view/1998

Pratama, A., Fazera, D., Fortunata, L. A., Manurung, N., & Fadilah, R. (2024). Penerapan Model Pembelajaran Discovery Learning untuk Meningkatkan Hasil Belajar Siswa. Jurnal Inovasi Pendidikan, 2(1), 21–31. https://doi.org/10.60132/jip.v2i1.190

Putri, D. K., Sulianto, J., & Azizah, M. (2019). Kemampuan penalaran matematis ditinjau dari kemampuan pemecahan masalah. International Journal of Elementary Education, 3(3), 351-357. https://doi.org/10.23887/ijee.v3i3.19497

Rahman, L., Fitraini, D., & Fitri, I. (2019). Pengaruh penerapan model discovery learning terhadap kemampuan penalaran matematis ditinjau dari pengetahuan awal siswa SMP Negeri 3 Tambang Kabupaten Kampar. JURING (Journal for Research in Mathematics Learning), 2(1), 001-010. http://dx.doi.org/10.24014/juring.v2i1.7467

Rahmawati, K. D., & Astuti, D. (2022). Kemampuan Penalaran Matematis Siswa SMA pada Materi Pertidaksamaan Dua Variabel. Plusminus: Jurnal Pendidikan Matematika, 2(2), 187–200. https://doi.org/10.31980/plusminus.v2i2.1763

Rismen, S., Mardiyah, A., & Puspita, E. M. (2020). Analisis kemampuan penalaran dan komunikasi matematis siswa. Mosharafa: Jurnal Pendidikan Matematika, 9(2), 263-274. https://doi.org/10.31980/mosharafa.v9i2.609

Rott, B., & Rott, B. (2021). Inductive and Deductive Justification of Knowledge. Epistemological Beliefs and Critical Thinking in Mathematics: Qualitative and Quantitative Studies with Pre-Service Teachers, 121-145. https://doi.org/10.1007/978-3-658-33539-7_6

Sary, R. F., Juandi, D., & Jupri, A. (2022). Model Pembelajaran Discovery Learning Dan Kemampuan Penalaran Matematis. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 11(2), 1028. https://doi.org/10.24127/ajpm.v11i2.4765

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.

Siregar, N. C., Rosli, R., & Maat, S. M. (2020). The effects of a discovery learning module on geometry for improving students' mathematical reasoning skills, communication and self-confidence. International Journal of Learning, Teaching and Educational Research, 19(3), 214-228. https://www.ijlter.net/index.php/ijlter/article/view/414

Sopwatillah, S. (2021). Meningkatkan Kemampuan Penalaran Matematis Siswa Melalui Pembelajaran Berbasis Masalah Materi Peluang Kelas Xi Tkro-a Smkn 4 Jakarta. VOCATIONAL: Jurnal Inovasi Pendidikan Kejuruan, 1(4), 210–220. https://doi.org/10.51878/vocational.v1i4.739

Sutrisno, S. (2019). Meningkatkan Hasil Belajar Siswa Melalui Pembelajaran Dengan Model Discovery Learning Pada Siswa Kelas X MIPA 5 SMA N 1 Bantul Tahun Pelajaran 2018/2019. Ideguru: Jurnal Karya Ilmiah Guru, 4(1), 58-71. https://doi.org/10.51169/ideguru.v4i1.69

Verschaffel, L., Schukajlow, S., Star, J., & Van Dooren, W. (2020). Word problems in mathematics education: A survey. Zdm, 52, 1-16. https://doi.org/10.1007/s11858-020-01130-4

Vos, P. (2018). “How real people really need mathematics in the real world”—Authenticity in mathematics education. Education Sciences, 8(4), 195. https://doi.org/10.3390/educsci8040195

Downloads

Published

2025-06-02

How to Cite

Mokoginta, A. P., Hulukati, E. P., & Kobandaha, P. E. (2025). Mathematical Reasoning Ability of Junior High School Students: Application of Discovery Learning Model. ETDC: Indonesian Journal of Research and Educational Review , 4(3), 517–531. https://doi.org/10.51574/ijrer.v4i3.2951