Mathematical Reasoning Ability and Learning Independence of High School Students Through Problem Based Learning Model

Purnama Putra, M. Ikhsan

Abstract


The ability of students to answer mathematical reasoning questions and to learn independence is still low. Mathematical reasoning and learning independence are important possessed by students. Therefore, a learning model of a relevant. One of the learning approaches is the Problem Based Learning (PBL) model. The purpose of the study to find out: Differences in the increase in mathematical reasoning abilities and student learning independence taught by using PBL with students taught with conventional learning in terms of (a) all students, and (b) student level (high, medium, low). This research is an experimental research design with a pretest-posttest control group design. The population of this study was all students of class X of the Delima 1 High School in Pidie. While the sample consisted of two classes, namely the experimental class (X-2) and the control class (X-3) taken by random sampling. The instrument used to obtain research data is a test of mathematical reasoning ability and student learning independence. To see the difference in mathematical reasoning abilities and student learning independence between classes PBL models with conventional classes using the t-test. The results showed that the improvement of students' mathematical reasoning abilities and student learning independence that obtained learning with PBL approach was better than students who obtained learning with conventional approach in terms of overall and initial abilities of students (high, medium, low), in quality there were significant differences between students who studied using PBL model with those using conventional learning.

Keywords


Problem Based Learning Model; Mathematical Reasoning; Student Learning Independence;

Full Text:

PDF

References


Ali, M, & Asrori, M. (2010). Psikologi remaja. Jakarta: Bumi Aksara.

Amir, M.T. (2010). Inovasi pendidikan melalui problem based learning. Jakarta: Kencana Prenanda Media Group.

Arends, R.I. (2010). Learning to teach seventh edition. New York: The McGraw Hill Companies.

Arikunto, S. (2012). Prosedur penelitian : suatu pendekatan praktik. (Edisi Revisi). Jakarta : Rineka Cipta.

Arikunto, S. (2003). Prosedur penelitian suatu pendekatan praktek. Jakarta: Rineka Cipta

Ario, M. (2015). Penalaran matematis dan mathematical habits of mind melalui pembelajaran berbasis masalah dan penemuan terbimbing. Edusentris, Jurnal Ilmu Pendidikan dan Pengajaran, 2(1), 34-46.

Bieda, K. N., Ji, X., Drwencke, J., & Picard, A. (2014). Reasoning-and-proving opportunities in elementary mathematics textbooks. International Journal of Educational Research, 64, 71-80.

Depdiknas. (2012). KBBI pusat bahasa. Jakarta: PT Gramedia Pustaka Utama.

Gallagher, S (2015). Doing the math: calculating the role of evolution and enculturation in the origins of geometrical and mathematical reasoning. [versi elektronik]. Journal for Progress in Biophysics and Molecular Biology, 119, 341-346.

Mahardiyanti, T. (2014). Penerapan metode pembelajaran problem based learning (pbl) untuk meningkatkan kemampuan penalaran matematis siswa. Journal Ilmiah Pendidikan, 2(2), 142-149.

Mullis, I.V.S., Martin, M.O., Foy, P., & Arora, A. (2012). TIMSS 2011 In-ternastional result in mathema-tics. chestnut hill, MA: TIMSS & PIRLS International Study Center, Boston College

NCTM. (2000). Principles and standards for school mathematics. Reston, VA: NCTM.

Novak, V. (2010). Reasoning about mathematical fuzzylogic and its future. [versi elektronik]. Journal of Fuzzy Sets and System,19(2), 25–44.

Rizqi,N.R., & Surya,E. (2017). An analysis of students’ mathematical reasoning ability in viii grade of sabilina tembung junior high school. International Journal Of Advance Research And Innovative Ideas In Education (IJARIIE), 3(2).

Rusman.(2012). Model-model pembelajaran. Depok: PT Raja Grafindo Persada.

Savery, J.R, & Duffy, T.M. (2001). Problem based learning: An Introduction model and its Constructivist framework. [versi elektronik]. Journal CRLT Technical Report, 16(1), 1-17.

Slameto. (2010). Belajar dan faktor-faktor yang mempengaruinya. Jakarta: Rineka Cipta.

Sudjana, N. (2011). Dasar-dasar proses belajar mengajar. Bandung : Sinar Baru Algensindo.

Sugandi, A.I (2013). Pengaruh pembelajaran berbasis masalah dengan setting kooperatif jigsaw terhadap kemandirian belajar siswa SMA. Jurnal Ilmiah Program Studi Matematika STKIP Siliwangi Bandung, 2 (2),3-5

Sugiyono. (2013). Metode penelitian pendidikan pendekatan kuantitatif, kualitatif, dan r&d. Bandung: Alfabeta.

Suharti, A. (2013). Improvement of power mathmatical in learning math through learning model combined. International Journal of Science and Technology. 2(8), 576-582.

Suherman. (2003). Strategi pembelajaran matematika kontemporer. Bandung: JICA-IMSTEP Universitas Pendidikan Indonesia.

Sumarmo, U. (2010). Kemandirian belajar : apa, mengapa, dan bagaimana, dikembangkan pada peserta didik. Bandung: FMIPA UPI.

Sumartini, T.S. (2015). Peningkatan kemampuan penalaran matematis siswa melalui pembelajaran berbasis masalah. Jurnal Pendidikan Matematika, 5(1),1-4.

Sundayana. (2010). Statistika penelitian pendidikan. STKIP Garut Press.

Suprijono, A. 2010. Cooperative learning. Yogyakarta: Pustaka Pelajar.

Turmudi. (2008). Landasan filosofis dan teoritis pembelajaran matematika (berparadigma exploratif dan investigatif). Jakarta: Lauser Cita Pustaka.

Uyanto. (2009). Pedoman analisis data dengan spss. Jakarta: Graha Ilmu.

Wena, M. (2009). Strategi pembelajaran inovatif kontemporer. Jakarta: Bumi Aksara.

Yasmin, M. (2011). Desain pembelajaran berbasis tingkat satuan pendidikan. Jakarta: Gaung Persada.




DOI: https://doi.org/10.29103/ijevs.v1i3.1596

Article Metrics

 Abstract Views : 1199 times
 PDF Downloaded : 399 times

Refbacks

  • There are currently no refbacks.


Copyright (c) 2019 Purnama Putra, M. Ikhsan