THE ANALYSIS OF MATHEMATICAL PROOF ABILITY

Authors

  • Siti Hardianti UIN Alauddin Makassar
  • Thamrin Tayeb UIN Alauddin Makassar
  • Fitriani Nur UIN Alauddin Makassar http://orcid.org/0000-0003-0131-0994
  • Ahmad Farham Majid UIN Alauddin Makassar
  • Baharuddin Baharuddin UIN Alauddin Makassar

DOI:

https://doi.org/10.33477/mp.v8i2.1528

Keywords:

analysis, ability, mathematical proving

Abstract

The ability to prove mathematically is one of the important abilities in learning mathematics. This study aims to determine students' mathematical proof ability. This type of research is a qualitative descriptive study, which involved 38 sixth semester students of the Mathematics Education Department, Tarbiyah and Teacher Training College, Alauddin Makassar State Islamic University with 3 of them being interview subjects. The instruments and data collection techniques used were researchers using diagnostic tests and interview guides. The analysis techniques used are data reduction, display data, and conclusion drawing / verification. The result of this research is that the students' mathematical proving ability in working on the questions is not optimal. In the indicator of the ability to construct evidence, students are less able to make connections between known facts and the elements to be proven. Furthermore, on the indicator of the ability to read a proof, students are less able to use definitions as a basis for providing arguments.

References

Agustyaningrum, N., Husna, A., Hanggara, Y., Abadi, A. M., & Mahmudi, A. (2020). Analysis of mathematical proof ability in abstract calgebra course. Universal Journal of Educational Research, 8(3), 823–834. https://doi.org/10.13189/ujer.2020.080313

Angraini, L. M., Sundawan, M. D., & Noto, M. S. (2019). Analisis Proses Berpikir Menyusun Bukti Matematis Mahasiswa Calon Guru Pada Mata Kuliah Struktur Aljabar. Euclid, 6(2), 189. https://doi.org/10.33603/e.v6i2.2564

Applebaum, D., & Applebaum, D. (2010). Proof by mathematical induction. Probability and Information, 1(3), 247–248. https://doi.org/10.1017/cbo9780511755262.014

CadwalladerOlsker, T. (2011). What Do We Mean by Mathematical Proof? Journal of Humanistic Mathematics, 1(1), 33–60. https://doi.org/10.5642/jhummath.201101.04

Fadillah, S., & Jamilah, J. (2016). Pengembangan Bahan Ajar Struktur Aljabar Untuk Meningkatkan Kemampuan Pembuktian Matematis Mahasiswa. Jurnal Cakrawala Pendidikan, 1(1), 106–113. https://doi.org/10.21831/cp.v1i1.8379

Feriyanto. (2018). The Ability of Students’ Mathematical Proof in Determining the Validity of Argument Reviewed from Gender Differences. Journal of Physics: Conference Series, 947(1). https://doi.org/10.1088/1742-6596/947/1/012042

Firmasari, S., & Sulaiman, H. (2019). Kemampuan Pembuktian Matematis Mahasiswa Menggunakan Induksi Matematika. Journal of Medives : Journal of Mathematics Education IKIP Veteran Semarang, 3(1), 1. https://doi.org/10.31331/medivesveteran.v3i1.642

Fuat. (2015). Improving learning to increase ability to prove geometry in. BecomingReflective Educators and Professionals of Learning.

Fuat, Nusantara, T., Irawan, E. B., & Irawati, S. (2017). A case study on students’ proof construction by using (H→H1)˄(¬C→¬H1)→C against the proof. Building National Characters through Education for Noble Civilization.

Fuat, Nusantara, T., Irawan, E. B., & Irawati, S. (2019). Students’ mathematical conviction in Mathematics proof. IOP Conference Series: Earth and Environmental Science, 243(1). https://doi.org/10.1088/1755-1315/243/1/012133

Hodiyanto, H., & Susiaty, U. D. (2018). Peningkatan Kemampuan Pembuktian Matematis Melalui Model Pembelajaran Problem Posing. MaPan, 6(1), 128–137. https://doi.org/10.24252/mapan.2018v6n1a12

Kartika, E. D., & Yazidah, N. I. (2019). Analisis Kemampuan Pembuktian Matematis Pada Matakuliah Analisis Real Berdasarkan Adversity Quotient. Prima: Jurnal Pendidikan Matematika, 3(2), 152. https://doi.org/10.31000/prima.v3i2.1385

Lee, K. S. (2016). Students’ proof schemes for mathematical proving and disproving of propositions. Journal of Mathematical Behavior, 26–44.

Lestari, K. E. (2015). Analisis Kemampuan Pembuktian Matematis Mahasiswa Menggunakan Pendekatan Induktif-Deduktif Pada Mata Kuliah Analisis Real. MENDIDIK: Jurnal Kajian Pendidikan Dan Pengajaran, 1(2), 128–135.

Mahfudy, S. (2017). Strategi Pembuktian Matematis Mahasiswa Pada Soal Geometri. JTAM | Jurnal Teori Dan Aplikasi Matematika, 1(1), 31. https://doi.org/10.31764/jtam.v1i1.101

Matematika, J., Matematika, F., Ilmu, D. A. N., & Alam, P. (2017). Melalui Model Pembelajaran Discovery. 76–85.

Maya, R., & Sumarmo, U. (2011). Mathematical Understanding and Proving Abilities : Experiment With. Journal On Mathematics Education (Indo MS-JME), 2(2), 231–250.

Mubarok, M. S., Pujiastuti, E., & Suparsih, H. (2018). Meningkatkan Kemampuan Pembuktian Matematis dan Rasa Ingin Tahu Siswa Kelas XI MIPA SMA Negeri 6. PRISMA, Prosiding Seminar Nasional Matematika, 1(2000), 677–683.

Nurrahmah, A., & Karim, A. (2018). Analisis Kemampuan Pembuktian Matematis Pada Matakuliah Teori Bilangan. JURNAL E-DuMath, 4(2), 21. https://doi.org/10.26638/je.753.2064

Perbowo, K. S., & Pradipta, T. R. (2017). Pemetaan Kemampuan Pembuktian Matematis Sebagai Prasyarat Mata Kuliah Analisis Real Mahasiswa Pendidikan Matematika. KALAMATIKA Jurnal Pendidikan Matematika, 2(1), 81. https://doi.org/10.22236/kalamatika.vol2no1.2017pp81-90

Salsabila, E. (2019). Influence of prerequisite concepts understanding and mathematical communication skills toward student’s mathematical proving ability. Pythagoras: Jurnal Pendidikan Matematika, 14(1), 46–55. https://doi.org/10.21831/pg.v14i1.25067

Sugiyono. (2014). Metode Penelitian Kuantitatif, Kualitatif, dan R&D. Alfabeta.

Syamsuri, S., & Marethi, I. (2018). APOS analysis on cognitive process in mathematical proving activities. International Journal on Teaching and Learning Mathematics, 1(1), 1. https://doi.org/10.18860/ijtlm.v1i1.5613

Utari, T., & Hartono, H. (2019). Muatan penalaran dan pembuktian matematis pada buku teks matematika SMA kelas X Kurikulum 2013. Jurnal Riset Pendidikan Matematika, 6(1), 1–13. https://doi.org/10.21831/jrpm.v6i1.17002

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Published

2020-12-31