Analisis Kemampuan Pemecahan Masalah Matematis Siswa SMP Pada Materi Himpunan
DOI:
https://doi.org/10.30738/union.v9i2.9524Keywords:
Kemampuan Pemecahan Masalah Matematis, Teori Polya, HimpunanAbstract
ABSTRAK
Kemampuan pemecahan masalah matematis adalah kemampuan yang sangat penting untuk dimiliki oleh siswa dalam proses penyelesaian masalah matematika. Penelitian ini bertujuan untuk mendeskripsikan kemampuan pemecahan masalah matematis siswa pada materi himpunan. Jenis penelitian yang digunakan adalah kualitatif deskriptif. Subjek penelitian ini adalah siswa kelas VII B SMP Negeri 1 Lebaksiu tahun pelajaran 2020/2021 sebanyak 30 orang yang dipilih menggunakan teknik purposive sampling. Teknik pengumpulan data yang digunakan adalah metode tes, wawancara, dan dokumentasi. Teknik analisis data yang dilakukan yaitu reduksi data, penyajian data, dan penarikan kesimpulan. Instrumen penelitian yang digunakan adalah 2 butir soal uraian mengenai kemampuan pemecahan masalah pada materi himpunan dengan indikator pemecahan masalah matematis berdasarkan teori Polya.
Â
ABSTRACT
Solving Mathematical issue is a crucial skill that students must acquire to solve mathematical problems. This study aimed to describe students' skills on solving mathematical issues on mathematic set. This study employed a descriptive qualitative design. The subjects of this study were 30 first-grade students of 1 Lebaksiu Junior High School during the 2020/2021 academic year who were selected using the purposive sampling technique. This research employed tests, interviews, and documentation to colled data. The instrument aimed to discover 2Â item description questions regarding the problem-solving ability of the set material with indicators of mathematical problem solving based on Polya's theory, namely: 1) understanding the problem 2) planning the solution 3) solving the problem according to the plan 4) checking the procedure and the results of the solution. To analyze the data, data reduction, data presentation, and conclusion drawing was employed.
References
Andayani, F., & Lathifah, A. N. (2019). Analisis Kemampuan Pemecahan Masalah Siswa SMP dalam Menyelesaikan Soal Pada Materi Aritmatika Sosial. Jurnal Cendekia : Jurnal Pendidikan Matematika, 3(1), 1–10. https://doi.org/10.31004/cendekia.v3i1.78
Azrunnisa, F. (2018). Pengaruh model pembelajaran kooperatif tipe student teamns achievment divisions (stad) terhadap kemampuan pemecahan masalah matematika siswa pada kelas VII MTS Swasta TPI Rambung Sialang pada materi himpunan berhingga, tak berhingga, kosong dan semesta tahun ajaran 2016/2017. Universitas Islam Negeri Sumatera Utara.
Azwar, S. (2010). Sikap Manusia Teori dan Pengukurannya (Yogyakarta: Pustaka Pelajar, 2016). Metode Penelitian. Cetakan XI.
Herman, T. (2003). TIMSS dan Implikasinya Terhadap Pendidikan Matematika di Indonesia. Jurnal Mimbar Pendidikan UPI, 2(12), 12–18.
Indarwati, D., Wahyudi, W., & Ratu, N. (2014). Peningkatan Kemampuan Pemecahan Masalah Matematika Melalui Penerapan Problem Based Learning Untuk Siswa Kelas V Sd. Satya Widya, 30(1), 17. https://doi.org/10.24246/j.sw.2014.v30.i1.p17-27
Kuncoro, K. S., Junaedi, I., & Dwijanto, D. (2018). Analysis of problem solving on project based learning with resource based learning approach computer-aided program. Journal of Physics: Conference Series, 983(1), 12150. https://doi.org/10.1088/1742-6596/983/1/012150
Marlina, R., Nurjahidah, S., Sugandi, A. I., & Setiawan, W. (2018). PENERAPAN PENDEKATAN PROBLEM BASED LEARNING UNTUK MENINGKATKAN KEMAMPUAN PEMECAHAN MASALAH MATEMATIS SISWA KELAS VII MTs PADA MATERI PERBANDINGAN DAN SKALA. JPMI (Jurnal Pembelajaran Matematika Inovatif), 1(2), 113. https://doi.org/10.22460/jpmi.v1i2.p113-122
Moleong, L. J. (2013). Metodologi Penelitian Kualitatif; Cetakan ke 14. Bandung: PT. Remaja Rosdakarya.
Murni, A. (2013). Peningkatan Kemampuan Pemecahan Masalah Dan Representasi Matematis Siswa SMP Melalui Pembelajaran Metakognitif Berbasis Soft Skills. Universitas Pendidikan Indonesia.
NCTM. (2000). Principles and Standards for School Mathematic. NCTM.
Republik Indonesia. (2003). Undang-Undang Republik Indonesia Nomor 20 Tahun 2003 Tentang Sistem Pendidikan Nasional.
Ruseffendi, E. T. (2006). Pengantar Kepada Membantu Guru Mengembangkan Kompetensinya dalam Pengajaran Matematika untuk Meningkatkan CBSA. Bandung: Tarsito.
Saparwadi, L., & Anita, Y. (2018). Perbedaan Kemampuan Pemecahan Masalah Matematika Siswa Akselerasi dengan Siswa Regular. UNION: Jurnal Ilmiah Pendidikan Matematika, 6(3), 349. https://doi.org/10.30738/union.v6i3.3087
Suandito, B. (2017). Bukti Informal Dalam Pembelajaran Matematika. Al-Jabar : Jurnal Pendidikan Matematika, 8(1), 13–24. https://doi.org/10.24042/ajpm.v8i1.1160
Sugiyono. (2014). Metode Penelitian Kuantitatif, Kualitatif dan R&D. Alfabeta. Bandung.
Sulistyowati, F., Kuncoro, K. S., Setiana, D. S., & Purwoko, R. Y. (2019). Solving high order thinking problem with a different way in trigonometry. Journal of Physics: Conference Series, 1315(1), 12001. https://doi.org/10.1088/1742-6596/1315/1/012001
Umrana, Cahyono, E., & Sudia, M. (2019). Analisis Kemampuan Pemecahan Masalah Matematis Ditinjau dari Gaya Belajar Siswa. Jurnal Pembelajaran Berpikir Matematika, 4(1), 67–76.
Utami, R. W., & Wutsqa, D. U. (2017). Analisis kemampuan pemecahan masalah matematika dan self-efficacy siswa SMP negeri di Kabupaten Ciamis. Jurnal Riset Pendidikan Matematika, 4(2), 166. https://doi.org/10.21831/jrpm.v4i2.14897
Vendiagrys, L., & Junaedi, I. (2015). Analisis kemampuan pemecahan masalah matematika soal setipe timss berdasarkan gaya kognitif siswa pada pembelajaran model problem based learning. Unnes Journal of Mathematics Education Research, 4(1).
Widodo, S. A., Pangesti, A. D., Istiqomah, I., Kuncoro, K. S., & Arigiyati, T. A. (2020). Thinking Process of Concrete Student in Solving Two-Dimensional Problems. Jurnal Pendidikan Matematika, 14(2), 117–128. https://doi.org/10.22342/jpm.14.2.9460.117-128
Wulandari, N., Zubaidah, & Ijuddin, R. (2014). Kemampuan Pemecahan Masalah Dalam Menyelesaikan Soal Cerita Sistem Persamaan Linear Dua Variabel Di SMP. Jurnal Pendidikan Dan Pembelajaran Khatulistiwa, 3(7), 1–10.
Downloads
Published
Issue
Section
License
Please find the rights and licenses in UNION: Jurnal Ilmiah Pendidikan Matematika. By submitting the article/manuscript of the article, the author(s) accept this policy.
1. License
The non-commercial use of the article will be governed by the Creative Commons Attribution license as currently displayed on Attribution-ShareAlike 4.0 International (CC BY-SA 4.0).
2. Author’s Warranties
The author warrants that the article is original, written by stated author(s), has not been published before, contains no unlawful statements, does not infringe the rights of others, is subject to copyright that is vested exclusively in the author and free of any third party rights, and that any necessary written permissions to quote from other sources have been obtained by the author(s).
3. User Rights
UNION spirit is to disseminate articles published are as free as possible. Under the Creative Commons license, UNION permits users to copy, distribute, display, and perform the work for non-commercial purposes only. Users will also need to attribute authors and UNION on distributing works in the journal.
4. Rights of Authors
Authors retain all their rights to the published works, such as (but not limited to) the following rights;
- Copyright and other proprietary rights relating to the article, such as patent rights,
- The right to use the substance of the article in own future works, including lectures and books,
- The right to reproduce the article for own purposes,
- The right to self-archive the article,
- The right to enter into separate, additional contractual arrangements for the non-exclusive distribution of the article's published version (e.g., post it to an institutional repository or publish it in a book), with an acknowledgment of its initial publication in this journal (UNION: Jurnal Ilmiah Pendidikan Matematika).
5. Co-Authorship
If the article was jointly prepared by other authors, any authors submitting the manuscript warrants that he/she has been authorized by all co-authors to be agreed on this copyright and license notice (agreement) on their behalf, and agrees to inform his/her co-authors of the terms of this policy. UNION will not be held liable for anything that may arise due to the author(s) internal dispute. UNION will only communicate with the corresponding author.
6. Royalties
This agreement entitles the author to no royalties or other fees. To such extent as legally permissible, the author waives his or her right to collect royalties relative to the article in respect of any use of the article by UNION.
7. Miscellaneous
UNION will publish the article (or have it published) in the journal if the article’s editorial process is successfully completed. UNION editors may modify the article to a style of punctuation, spelling, capitalization, referencing and usage that deems appropriate. The author acknowledges that the article may be published so that it will be publicly accessible and such access will be free of charge for the readers as mentioned in point 3.
