PENALARAN MATEMATIK MELALUI PENDEKATAN OPEN-ENDED DALAM PEMBELAJARAN MATEMATIKA

Almira Amir ()

Abstract


Mathematical reasoning is the foundation for obtaining or constructing mathematical knowledge so that teachers must be able to nurture students to develop mathematical reasoning and be able to deepen their ideas in the field of mathematics. The selection of appropriate learning approaches will support the development of these capabilities. Innovation and creativity of teachers to develop learning mathematics is expected so as to improve students' mathematical reasoning ability, able to compete in facing the challenges of the times as it is today. One alternative to overcome the problem is through the Open-Ended approach in mathematics learning. Learning with Open-Ended approach is a way to improve the learning of mathematics during this less varied, and through this approach is expected students can explore all the capabilities it has to be poured in solving every problem given.


Keywords


Mathematical reasoning, Open-Ended approach, mathematics learning

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References


Asril Nasrotul Mualifah dan Agung Lukito, Profil Penalaran Siswa dalam Pemecahan Masalah Open-Ended ditinjau dari Kemampuan Matematika Mathedunesa Jurnal Ilmiah Pendidikan Matematika Vol 3 No 3, 2014.

Becker, Jerry P. dan Shigeru Shimada. The Open Ended Approach: a New

Proposal for Teaching Mathematics, Virginia: NCTM, 1997.

Carson, J. A Problem with Problem Solving: Teaching Thinking without Teaching

Knowledge. The Mathematics Educator, 17 (2): 7-14, 2007

Cifarelli, Victor V dan Jinfa Cai. The Evolution of Mathematical Explorations in Open-Ended Problem-Solving Situations. Journal of Mathematical Behavior, 24: 302-324. doi: 10.1016/j.jmathb.2005.09.007

De Lange, J. Mathematical literacy for living from OECD-PISA perspective.

Tsukuba Journal of Educational Study in Mathematics, 2006.

Eka Kasah Gordah, Upaya Guru Meningkatkan Kemampuan Koneksi dan Pemecahan Masalah Matematis Peserta Didik melalui Pendekatan Open Ended, Jurnal Pendidikan dan Kebudayaan Vol 18, No 3, 2012.

Emilya, Devi, Darmawijoyo, dan Ratu Ilma Indra Putri, Pengembangan Soal-soal Open-Ended Materi Lingkaran untuk Meningkatkan Penalaran Matematika

Siswa Kelas VIII SMP Negeri 10 Palembang, Jurnal Pendidikan Matematika Vol. 4, No. 2, 2010.

Georgios Kosyvas, Levels of arithmetic reasoning in solving an open-ended problem, International Journal of Mathematical Education in Science and Technology, Vo. 47, 2016 - Issue 3.

Hasratuddin, Mengapa Harus Belajar Matematika? Medan: Perdana Publishing, 2015.

Herdiman, I. Penerapan pendekatan open-ended untuk meningkatkan pemahaman dan penalaran matematik serta kemandirian belajar siswa SMP. Tesis STKIP Siliwangi, tidak diterbitkan, 2015.

Hudoyo, Pengembangan Kurikulum Matematika dan Pelaksanaannya di Depan Kelas. Surabaya: Usaha Nasional, 1988.

Mason, J et.al. Thinking Mathematically Second Edition. England: Pearson Education Limited, 2010

Megawati, D. Profil Penalaran Siswa SMA Al Hikmah Surabaya dalam Membuktikan Identitas Trigonometri Ditinjau dari Kemampuan Matematika. Tesis Tidak Dipublikasikan. Surabaya: Pasca Sarjana Unesa, 2013.

Muhsetyo, Gatot. Pembelajaran Matematika SD, Tangerang Selatan: Universitas Terbuka, 2015.

Mullis, et al., TIMSS Assessment Frameworks and specifications 2003. 2nd Edition. International Study Center, Lynch School of Education, Boston College, 2003.

Nabie, M.J., Akayuure, P., & Sofo, S. Integrating Problem Solving and Investigations in Mathematics. International Journal of Humanities and Social Science, 3 (15): 46-56, 2013.

NCTM. Principles and Standards for School Mathematics. Drive, Reston, VA: The NCTM, 2000.

Nizar, Achmad. Kontribusi Matematika dalam Membangun Daya Nalar dan Komunikasi Siswa, Jurnal Pendidikan Inovatif/Vol. 2, No.2, 2007.

Rimbatmojo, S, T. A. Kusmayadi and R Riyadi, Metacognition Difficulty of Students with Visual-Spatial Intelligence during Solving Open-Ended Problem, International Conference on Mathematics and Science Education (ICMScE), OP Conf. Series: Journal of Physics: Conf. Series 895 2017, 012034.

Ruseffendi, E.T. Pengantar kepada Membantu Guru Mengembangkan Kompetensinya dalam Pengajaran matematika untuk Meningkatkan CBSA. Bandung: Tarsito, 1991.

Sariningsih, Ratna dan Indri Herdiman, Mengembangkan Kemampuan Penalaran Statistik dan Berpikir Kreatif Matematis Mahasiswa Melalui Pendekatan Open-ended, Jurnal Riset Pendidikan Matematika 4 (2), 2017.

Suherman, E dan Winataputra, U.S. Strategi Belajar Mengajar Matematika, Jakarta: Universitas Terbuka, 1993.

Sumarmo, U. “Kemampuan Pemahaman Dan Penalaran Matematik Siswa SMA Dikaitkan Dengan Kemampuan Penalaran Logik Siswa Dan Beberapa Unsur Proses Belajar Mengajar.” Dissertation In Post Graduate Study, Institut Keguruan Dan Ilmu Pendidikan, Bandung. Un published, 1987.

Pembelajaran Matematika Berbasis Karakter. Prosiding Seminar Nasional Pendidikan Matematika STKIP Siliwangi Bandung Vol. 1, 2011.

Pembelajaran Matematika untuk Mendukung Pelaksanaan Kurikulum Berbasis Kompetensi. Makalah Disajikan pada Pelatihan Guru, 2002.

Soeyono, Yandri. Pengembangan Bahan Ajar Matematika dengan Pendekatan Open-Ended untuk Meningkatkan Kemampuan Berpikir Kritis dan Kreatif Siswa SMA, PYTHAGORAS: Jurnal Pendidikan Matematika Volume 9– Nomor 2, Desember 2014.

Subanji. 2013. Pembelajaran Matematika Kreatif dan Inovatif. Malang: Universitas Negeri Malang.

Sudia, M. Profil Metakognisi Siswa SMP yang Bergaya Kognitif Impulsive-Reflektif dalam Memecahkan Masalah Terbuka Materi Geometri Ditinjau dari Perbedaan Jenis Kelamin. Tesis Tidak Dipublikasikan. Surabaya: Pasca Sarjana Unesa, 2013.

Sulianto, Joko. Keefektifan Model Pembelajaran Kontekstual dengan pendekatan open ended dalam aspek penalaran dan pemecahan masalah pada materi segitiga di kelas VII. Malih Peddas: Majalah Ilmiah Penddikan Dasar Vol 1, No 1, 2011.

Wessels, H. Levels of Mathematical Creativity in Model-Eliciting Activities. Journal of Mathematical Modelling and Application, 1 (9): 22-40, 2014.

Widjaya, W. Design Realistic Mathematics Education Lesson. Makalah Seminar Nasional Pendidikan, Program Pascasarjana Universitas Sriwijaya, Palembang, 2010.




DOI: https://doi.org/10.24952/logaritma.v6i01.1240

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