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Cultivating Upper Secondary Students' Mathematical Reasoning-Ability and Attitude towards Mathematics Through Problem-Based Learning
Abstract
This paper reports some results of a research attempted to cultivate students' mathematical reasoning ability (MRA) by means of implementing problem-based learning (PBL) model. The population was upper secondary students of public schools in Bandung. Cluster sampling technique applied to take sample of amount 158 students from middle-level schools. Data were teachers' assessment on students’ performance in last two months, prior mathematical knowledge (PMK) and MRA test, observations, and interview. Two-factors ANOVA then used to analyze the data. Findings showed that overall students in PBL-classroom achieved better MRA than their counterparts in conventional one though the category in both classrooms was low. Interaction between PBL and PMK factor towards MRA did not emerge. Most part of the participants viewed PBL neither positive nor negative. On the contrary, they assessed that the tasks given made and demanded them thinking and learning more actively than ever. The findings showed adopting PBL in schools to facilitate students getting their higher order thinking skills is a reasonable choice, especially schools having middle or high ability students.
Keywords: problem-based learning (PBL), mathematical reasoning ability
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Authors. (2011). Kemampuan Pemecahan Masalah Matematika Siswa (Studi Kasus di SMA Negeri Parongpong Kabupaten Bandung Barat). Jurnal Generasi Kampus, 4 (1).
Bergeson, T. (2000). Teaching and Learning Mathematics. [Online]. Available: www.k12. wa.us.
de Castro, B. (2004). Pre-Service Teachers’ Mathematical Reasoning as an imperative for Codified Conceptual Pedagogy in Algebra: A case Study in Teacher Education. Asia Pacific Education Review, 5 (2), 157-166.
Dahlan, J.A. (2004). Meningkatkan Kemampuan Penalaran dan Pemahaman Matematik Siswa Sekolah Lanjutan Tingkat Pertama Melalui Pendekatan Pembelajaran Open-Ended. Unpublished Dissertation. Bandung: PPS UPI.
Depdiknas. (2006). Permendiknas No.22 tahun 2006. Jakarta: Depdiknas.
Gani, R.A. (2007). Pengaruh Pembelajaran Metoda Inkuiri Model Alberta terhadap Kemampuan Pemahaman dan Pemecahan Masalah Matematika Siswa Sekolah Menengah Atas. Unpublished Dissertation. Bandung: PPS UPI.
Hamzah, (2003). Meningkatkan Kemampuan Memecahkan Masalah Matematika Siswa Sekolah Lanjutan Tingkat Pertma Negeri di Bandung Melalui Pendekatan Pengajuan Masalah. Unpublished Dissertation. Bandung: PPS UPI.
Herman, T. (2006). Pembelajaran Berbasis Masalah untuk Meningkatkan Ke-mampuan Berpikir Matematis Tingkat Tinggi Siswa Sekolah Menengah Pertama (SMP). Unpublished Dissertation. Bandung: PPS UPI.
Hulukati, E. (2005). Mengembangkan Kemampuan Komunikasi dan Pemecahan Masalah Matematika Siswa SMP melalui Model Pembelajaran Generatif. Unpublished Dissertation. Bandung: PPS UPI.
Juandi, D. (2006). Meningkatkan Daya Matematik Mahasiswa Calon Guru Matematika Melalui Pembelajaran Berbasis Masalah. Unpublished Dissertation. Bandung: PPS UPI.
Kilpatrick, J., Swafford, J., & Findell, B., (Eds.). (2001). Adding it up: Helping children learn mathematics. Washington, DC: National Academy Press.
Kramarski, B., & Mevarech, Z. R. (2003). Enhancing Mathematical Reasoning in the classroom: The Effects of Cooperative Learning and Metacognitive Training. American Educational Research Journal, 40 (1).
Martin, M.O, et al. (2008). TIMSS 2007 International Mathematics Report: Findings from IEA’s Trends in International Mathematics and Science Study at the Fourth and Eighth Grades. TIMSS & PIRLS International Study Center, Lynch School of Education, Boston College.
Minarni, A., Napitupulu, E.E., & Husein, R. (2016). Mathematical Understanding and Representation Ability of Public Junior High School in North Sumatera. Journal on Mathematics Education, 7(1), 45-58.
Ministry of Education of Singapore. (2006). Secondary Mathematics Syllabuses. Singapore: Ministry of Education.
NCTM. (1989). Curriculum and Evaluation Standards for School Mathematics. Reston: VA.
NCTM. (2000). Principle and Standards for School Mathematics. Reston: VA.
Pomalato, S.W.D. (2005). Pengaruh Penerapan Model Treffinger dalam Mengembangkan Kemampuan Kreatif dan Pemecahan Masalah Matematika Siswa Kelas 2 Sekolah Menengah Pertama. Unpublished Dissertation. Bandung: PPS UPI.
Saragih, S. (2007). Mengembangkan Kemampuan Berpikir Logis dan Komunikasi Matematik Siswa Sekolah Menengah Pertama melalui Pendekatan Matematika Realistik. Unpublished Dissertation. Bandung: PPS UPI.
Schoenfeld, A. H. (1992). Learning to Think Mathematically: Problem Solving, Metacognition, and Sense Making in Mathematics. In D. A. Grows (Ed.), Handbook of Research on Mathematics Teaching and Learning. New York: Macmillan.
Shadiq, F. (2007). Laporan Hasil Seminar dan Lokakarya Pembelajaran Matematika 15 – 16 Maret 2007 di P4TK (PPPG) Matematika. Yogyakarta.
Sumarmo, U. (1987). Kemampuan Pemahaman dan Penalaran Matematika Siswa SMA Dikaitkan dengan Kemampuan Penalaran Logik Siswa dan Beberapa Unsur Proses Belajar Mengajar. Unpublished Dissertation. Bandung: PPS UPI.
------------------ (2005). Pengembangan Berpikir Matematik Tingkat Tinggi Siswa SLTP dan SMU serta Mahasiswa Strata Satu (S1) Melalui Berbagai Pendekatan Pembelajaran. Laporan Penelitian Hibah Pascasarjana. Bandung: Universitas Pendidikan Indonesia.
Suryadi, D. (2005). Penggunaan Pendekatan Pembelajaran Tidak Langsung serta Pendekatan Gabungan Langsung dan Tidak Langsung dalam Rangka Meningkatkan Kemampuan Matematik Tingkat Tinggi Siswa SLTP. Unpublished Dissertation. Bandung: PPS UPI.
Wahyudin. (1999). Kemampuan Guru Matematika, Calon Guru Matematika, dan Siswa dalam Mata Pelajaran Matematika. Unpublished Dissertation. Bandung: PPS UPI.
Wilson, J.W., et al. (1997). Mathematical Problem Solving [Online]. Available at http:// jwilson.coe.uga.edu [10 December 2007].
Yefdokimov, O. (2009). Higher Order Reasoning Produced in Proof Construction: How Well Do Secondary School Students Explain and Write Mathematical Proofs. ICMI Study 19, 2, 280-285.
Zulkardi. (2001). Realistic Mathematics Education (RME). Teori, Contoh Pembelajaran dan Teman Belajar di Internet. Makalah disampaikan pada Seminar Nasional pada tanggal 4 April 2001 di UPI.
DOI: https://doi.org/10.22342/jme.7.2.3542.117-128
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