IMPLEMENTASI MODEL PEMBELAJARAN M-APOS DAN METODE MOORE TERMODIFIKASI UNTUK MENINGKATKAN KEMAMPUAN PEMBUKTIAN MATEMATIKA MAHASISWA

abdul aziz saefudin, Kintoko Kintoko

Abstract


The study of this research is to analyze differences in the students’ mathematical proving ability that follow the learning model of M-APOS learning and the conventional learning in Matrix Algebra course. This research is quasi-experiment with non-equivalent control group design. The population of this research is all students who take the Matrix Algebra the course in odd semester Academic Year 2017/2018 as many as 120 students and purposive sampling samples are as many as 79 students. The research instrument used a mathematical proving ability test. Data analysis used descriptive statistics and nonparametric statistics (Kruskal-Wallis test). The results of this study are: the average of students’ mathematical proving ability that follow the M-APOS learning model and modified Moore method are significantly better than students follow conventional learning in Matrix Algebra course; there is a difference of improving the mathematical proving ability of students following the M-APOS learning model, modified Moore  method, and conventional learning; the improvement in the mathematical proving ability of students following the M-APOS learning model and modified Moore method is significantly better than students who follow conventional learning in Matrix Algebra courses.  The improvement of students' mathematical proving ability that follows with the M-APOS learning model is better than students who follow with the modified Moore method and conventional learning models. While the improvement of students’ mathematical ability that follow with the modified Moore method is better than students who follow conventional learning.

Keywords


a modified Moore method; M-APOS learning model; mathematical proving ability

References


Arnawa, I.M. dkk. (2009). Mengembangkan Kemampuan Mahasiswa dalam Memvalidasi Bukti pada Aljabar Abstrak melalui Pembelajaran Berdasarkan Teori APOS. Jurnal Matematika dan Sains, 14(2): 76-82.

Artigue, M. (1998). Teacher Training as a Key Issue for The Integration of Computer Technologies. In: Tinsley D., Johnson D.C. (eds) Information and Communications Technologies in School Mathematics (pp. 121-129). IFIP — The International Federation for Information Processing. Springer, Boston, MA.

Cornu, B. (1991). Limits, In Tall, D. (Ed.) Advanced mathematical thinking (pp. 153 – 166). The Netherlands: Kluwer Academic Publishers.

Dubinsky, E. & McDonal, M. (2003). “Using a Theory of Learning in College Mathematics Courses, Journal Kent State University, pg. 11.

Dubinsky, E. & McDonal, M. (2001). “APOS: A Constructivist Theory of Learning in Undergraduate Mathematics Education Research”. Dalam D. Holton (ed.). The Teaching and Learning of Mathematics at University Level. Dordrecht: Kluwer Academic Publishers.

Herlina, E. (2013). Meningkatkan Advanced Mathemathical Thinking Mahasiswa dengan Menggunakan Pendekatan APOS, Prosiding Seminar Nasional Matematika dan Pendidikan Matematika STKIP Siliwangi Bandung, Volume 1, Tahun 2013. ISSN 977-2338831, hal. 315-327.

Mahavier, W.T., May, E.L., & Parker, G.E. (2006). A Quick-Start Guide To The Moore Method. [Online]. Tersedia: http://www.discovery.utexas.edu/rlm/reference/quick_start-3.pdf [10 April 2018].

Maya, R; Sumarmo, U. (2011). Mathematical Understanding and Proving Abilities: Experiment with Undergraduate Student by Using Modified Moore Learning Approach, Indoms. J.M.E 2 (2): 231-250.

Nurlaelah, E. & Sumarmo, U. (2010). Implementasi Model Pembelajaran APOS dan Modifikasi-APOS (M-APOS) pada Mata Kuliah Struktur Aljabar (Makalah). Bandung: FMIPA UPI.

Saefudin, A. A. (2012). Pengembangan Kemampuan Berpikir Kreatif Siswa dalam Pembelajaran Matematika dengan Pendekatan Pendidikan Matematika Realistik Indonesia (PMRI). Jurnal Al-Bidāyah, 4 (1): 37-48.

Saefudin, A. A. (2013). Pengembangan Bahan Ajar Mata Kuliah Aljabar Linear Elementer (ALE) Berdasarkan Model Pembelajaran APOS untuk Menumbuhkembangkan Daya Matematika dan Disposisi Matematika. Laporan Penelitian. Yogyakarta: Universitas PGRI Yogyakarta.

Saefudin, A. A. (2016). Implementasi Pembelajaran dengan Metode Moore Termodifikasi untuk Meningkatkan Kemampuan Pembuktian Matematik dan Kemandirian Belajar Mahasiswa pada Mata Kuliah Aljabar Linear. Laporan Penelitian. Yogyakarta: Universitas PGRI Yogyakarta.

Saefudin, A. A. (2017). Implementasi Pembelajaran dengan Metode Moore Termodifikasi untuk Meningkatkan Kemampuan Pembuktian Matematik Mahasiswa pada Mata Kuliah Struktur Aljabar. Jurnal Aksioma, 6 (3): DOI: 10.24127/ajpm.v6i3.1058

Selden, A; Selden, J. (2003). Validations of Proof Considered as Texts: Can Undergraduates tell Whether an Argument proves a Theorem?, Journal for Research in Mathematics Education, 34(1): 4-36.

Sumarmo, U. (2011). Advanced Mathematical Thinking and Habit of Mind Mahasiswa. Bahan Ajar Mata Kuliah Kajian dan Isu Pendidikan Matematika. Bandung: Pascasarjana UPI dan STKIP Siliwangi Bandung.

Suryana, A. (2013). Penerapan Model Pembelajaran PACE dalam Meningkatkan Advanced Mathematical Thinking, Prosiding Seminar Nasional Matematika dan Pendidikan Matematika STKIP Siliwangi Bandung, Volume 1, Tahun 2013. ISSN 977-2338831, hal. 272-279.

Swam, M. and J. Ridgway. (2004). Convincing and Proving Task, [online], tersedia: http://www.flaguide.org/extra/download/cat/math/convincing/convince.pdf. [25 Februari 2018].

Tall, D. (2008). The transition to formal thinking in mathematics. Mathematics Education Research Journal, 20(2), 5-2.




DOI: http://dx.doi.org/10.24127/ajpm.v7i2.1441

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