The Structure Of Algebraic Argumentation Of High School Students With The Toulmin Model

  • Debi Suci Putri Universitas Sriwijaya
  • Yusuf Hartono Universitas Sriwijaya
  • Cecil Hiltrimartin Universitas Sriwijaya
Keywords: 21st Century, Algebra, Mathematical Proofs, Quadratic Function, Toulmin Model

Abstract

Mathematical argumentation is an important skill that must be owned in the 21st century. The purpose of the research is to analyze the structure of high school students' algebraic argumentation using the Toulmin model which consists of claim, data, warrant, and backing. This study involved 35 students in the odd semester of the 2022/2023 academic year at Muhammadiyah 1 Palembang High School. The students were asked to provide algebraic argumentation in mathematical proofs related to the quadratic function theorem. The algebraic argumentation was then analyzed using the Toulmin model. The results showed that 20% of students' mathematical argumentation skills were at level 5; 57.14% of students' mathematical argumentation skills were at level 4; 20% of students' mathematical argumentation skills were at level 3; 2.86% of students' mathematical argumentation skills were at level 2; and no students were at level 1.

References

Afandi, Tenriawaru, A. B., & Anita. (2021). Konstruksi Perangkat Pembelajaran Menggunakan Model Argument Driven Inquiry (ADI) disertai Socioscientific Issues (SSI). Jurnal Biologi Edukasi, 13, 6–16. http://jurnal.unsyiah.ac.id/JBE

Agustiningsih, Ngatijo, & Effendi-Hasibuan, M. H. (2021). The Effectiviness of Modified Flip-Based Argumentation Learning in Improving Students' Argumentation Skills About Hydrocarbon. Jurnal Pendidikan Kimia, 13(3), 250 - 260. https://doi.org/doi.org/10.24114/jpkim.v13i3.29930

Annissa, H. Z., & Wibowo, Y. (2022). Hubungan Pengalaman Belajar Biologi Materi Virus Terhadap Kemampuan Argumentasi Siswa Tentang Vaksinasi Covid-19. Jurnal Edukasi Biologi, 8(1), 98 - 109. https://doi.org/doi.org/10.21831/edubio.v8i2.18330

Arifin, M. Z., Sudirman, & Rahardi, R. (2023). Struktur Argumentasi Mahasiswa Dalam Pembuktian Sifat Ketertutupan Suatu Grup. Jurnal Cendekia: Jurnal Pendidikan Matematika, 7(3), 2703 - 2714. https://doi.org/doi.org/10.31004/cendekia.v7i3.2534/

Azmi, N., & Yunita, R. (2022). Analisis Kesulitan Siswa Dalam Menyelesaikan Masalah Fungsi Kuadrat Di Kelas X MAN 6 Aceh Utara. Ar-Riyadhiyyat, 1(41 - 49), 3. https://doi.org/doi.org/10.47766/arriyadhiyyat.v3i1.513

Bahri, H., Pallenari, M., & Ali, A. (2021). Profil Kemampuan Argumentasi Siswa SMA Pada Pembelajaran Biologi. Biology Teaching and Learning, 4(1), 85 - 91.

Darmadi, H. (2011). Metode Penelitian Pendidikan. Bandung: Alfabeta.

Faizah, S., Rahmawati, N. D., & Murniasih, T. R. (2021). Investigasi Struktur Argumen Mahasiswa Dalam Pembuktian Aljabar Berdasarkan Skema Toulmin. AKSIOMA, 10(3), 1466 - 1476. https://doi.org/doi.org/10.24127/ajpm.v10i3.3781

Handayani, P. (2015). Analisis argumentasi peserta didik kelas x sma muhammadiyah 1 palembang dengan menggunakan model argumentasi toulmin. Jurnal Inovasi dan Pembelajaran Fisika, 2(1), 60-68. https://doi.org/10.36706/jipf.v2i1.2355

Hanna, G. (2018). Reflections on Proof as Explanation. Advances in Mathematics Education Research on Proof and Proving: An International Perspective. Springer International Publishing. https://doi.org/doi.org/10.1007/978-3-319-70996-3_1

Indrawatiningsih, N., Purwanto, As'ari, A. R., & Sa'dijah, C. (2020). Argument Mapping to Improve Student's Mathemamtical Argumentation Skills. TEM Journal, 9(3), 1208 - 1212. https://doi.org/doi.org/10.18421/TEM93-48

Laamena, C. (2017). Karakteristik Warrant Dalam Argumentasi dan Pembuktian Matematis. Seminar Nasional Hasil Penelitian. Universitas Kanjuruhan Malang.

Meylani, C. F. (2018). Pola dan Jenis Argumen Pada Bagian Pembahasan Artikel Jurnal Terakreditasi Bidang Ekonomi. Yogyakarta: Universitas Sanata Dharma.

Pramesti, P., & Rosyidi, A. H. (2020). Profil Argumentasi Siswa Dalam Memecahkan Masalah PISA-like Berdasarkan Model Toulmin. JRPIPM, 3(2), 92 - 101. https://doi.org/doi.org/10.26740/jrpipm.v3n2.p92-101

Rabin, J. M., & Quarfoot, D. (2021). Sources of Students Difficulties With Proof By Contradiction. International Journal of Research in Undergraduate Mathematics Education, 8(3), 521 - 549. https://doi.org/doi.org/10.1007/S40753-021-00152-X/TABLES/3

Rahmadhani, K., Priyayi, D. F., & Satrodihardjo, S. (2020). Kajian Profil Indikator Kemampuan Argumentasi Ilmiah Pada Materi Zat Aditif dan Zat Adiktif. Natural: Jurnal Ilmiah Pendidikan IPA, 7(1), 1 - 9.

Resmi, D. C., Rusdi, M., & Huda, N. (2021). Desain LKPD Pada Materi Sistem Persamaan Linier Tiga Variabel Berbasis Generative Learning Untuk Meningkatkan Kemampuan Argumentasi Matematika Siswa SMA. Jurnal Cendekia, 5(2), 1854 - 1868. https://doi.org/doi.org/10.31004/cendekia.v5i2.685

Ruggiero, V. R. (2014). Becoming A Critical Thinker. Cengage Learning.

Rusandi, & Muhammad Rusli. (2021). Merancang Penelitian Kualitatif Dasar/Deskriptif dan Studi Kasus. Al-Ubudiyah: Jurnal Pendidikan dan Studi Islam, 2(1), 48–60. https://doi.org/10.55623/au.v2i1.18

Sholihah, N. U., Sadieda, L. U., & Sutini. (2021). Kemampuan Argumentasi Peserta Didik Dalam Menyelesaikan Masalah Pembuktian Kongruensi Segitiga Ditinjau dari Perbedaan Gender. JRPM ( Jurnal Review Pembelajaran Matematika), 6(1), 24 - 38. https://doi.org/doi.org/10.15642/jrpm.2021.6.1.24-38

Siahaan, T. M., Sianipar, H. F., Simamora, R., Sijabat, A., & Sinaga, C. V. (2021). Pengembangan Buku Ajar Berbasis Kooperatif Tipe Jigsaw Untuk Meningkatkan Kemampuan Berpikir Kreatif Mahasiswa. Jurnal Basicedu, 5(4), 2496 - 2503. https://doi.org/doi.org/10.31004/basicedu.v5i4.1213

Situmorang, A. S. (2021). Perbedaan Kemampuan Komunikasi Matematika Siswa Yang Diajar Melalui Metode Co-Op Co-Op Dengan Metode Ekspositori Pada Materi Persamaan Kuadrat Di Kelas X SMA Swasta Kampus FKIP UHN Pematangsiantar. Jurnal Penelitian, Pendidikan, dan Pengajaran, 2(2), 129 - 143. https://doi.org/doi.org/10.31004/cendekia.v7i3.2534

Soekisno, R. B. A. (2015). Pembelajaran berbasis masalah untuk meningkatkan kemampuan argumentasi matematis mahapelajar. Infinity Journal, 4(2), 120-139. https://doi.org/10.22460/infinity.v4i2.p120-139

Sugiyarti, L., Alrahmat, A., & Mursalin. (2018). Pembelajaran Abad 21 di Sekolah Dasar. Prosiding Seminar Dan Diskusi Pendidikan Dasar.

Suhady, W., Roza, Y., & Maimunah, M. (2019). Identifikasi Kesalahan Konseptual Dan Prosedural Siswa Dalam Menyelesaikan Soal Pada Materi Dimensi Tiga. Jurnal Cendekia : Jurnal Pendidikan Matematika, 3(2), 494–504. https://doi.org/10.31004/cendekia.v3i2.143

Syerlina, L., Muslim, & Setiawan, W. (2018). Argumentation Skill Profile Using "Toulmin Argumentation Pattern" Analysis of High School Student at Subang on Topic Hydrostatic Pressure. 4th International Seminar of Mathematics, Science and Computer Science Education. IOP Conf. Series: Journal of Physic. https://doi.org/doi.org/10.1088/1742-6596/1013/1/01203

Thariq, B. K., Agustina, L., & Galatea, C. K. (2023). Analisis Kemampuan Argumentasi Siswa Dalam Menyelesaikan Soal Numerasi Berdasarkan Teori Toulmin (Level 1 dan Level 2). MATHEdunesa, 12(1), 166 - 175. https://doi.org/doi.org/10.26740/mathedunesa.v12n1.p166-175

Toulmin, S. E. (2003). The uses of argument. Cambridge university press.

Ulfa, D., & Kartini, K. (2021). Analisis Kesalahan Siswa dalam Menyelesaikan Soal Logaritma Menggunakan Tahapan Kesalahan Kastolan. Jurnal Cendekia : Jurnal Pendidikan Matematika, 5(1), 542–550. https://doi.org/10.31004/cendekia.v5i1.507

Wulandari, D., Maison, & Kurniawan, D. A. (2023). Identifikasi Pemahaman Konsep dan Kemampuan Berargumentasi Peserta Didik Pada Pembelajaran Fisika. Jurnal Pendidikan MIPA, 13(1), 93 - 99. https://doi.org/doi.org/10.37630/jpm.v13i1.817

Zulainy, F., Rudi, & Marzal, J. (2021). Pengembangan Lembar Kerja Peserta Didik Berbasis Realistic Mathematics Education Untuk Meningkatkan Kemampuan Argumentasi Peserta Didik. Jurnal Cendeki: Jurnal Pendidikan Matematika, 05(1), 812 - 828. https://doi.org/doi.org/10.31004/cendekia.v5i1.440

Published
2024-01-02
How to Cite
Putri, D., Hartono, Y., & Hiltrimartin, C. (2024). The Structure Of Algebraic Argumentation Of High School Students With The Toulmin Model. Journal of Education and Learning Mathematics Research (JELMaR), 4(2), 184-191. https://doi.org/10.37303/jelmar.v4i2.123
Section
Articles