Kemampuan siswa menyelesaikan masalah berbentuk soal cerita sistem persamaan linear ditinjau dari kemampuan penalaran

Dimas Aditya Yudha Pradana, Program Studi Pendidikan Matematika, Universitas Muhammadiyah Surakarta, Indonesia
Budi Murtiyasa, Program Studi Pendidikan Matematika, Universitas Muhammadiyah Surakarta, Indonesia

Abstract


Tujuan penelitian ini adalah mendeskripsikan kemampuan pemecahan masalah siswa dalam menyelesaikan soal cerita sistem persamaan linear dua variabel ditinjau dari kemampuan penalaran matematis. Penelitian ini merupakan penelitian kualitatif dengan metode deskriptif. Subjek dalam penelitian adalah siswa kelas VIII C SMP Muhammadiyah 10 Surakarta tahun 2019/2020. Teknik pengambilan subjek berdasarkan tingkat kemampuan penalaran matematis siswa sehingga diperoleh tiga subjek kelas VIII C dengan kategori penalaran matematis rendah, sedang, dan tinggi. Teknik pengumpulan data berupa hasil tes, wawancara, dan dokumentasi. Teknik analisis data menggunakan reduksi data, penyajian data dan penarikan kesimpulan. Hasil penelitian menunjukkan bahwa: (1) siswa dengan penalaran matematis rendah belum dapat menentukan syarat cukup dan syarat perlu dalam memahami masalah, belum dapat menen­tukan strategi penyelesaian masalah, belum dapat melaksanakan rencana dan belum dapat memeriksa perhitungan jawaban; (2) siswa dengan penalaran matematis sedang mampu me­nentukan syarat cukup dan syarat perlu dalam memahami masalah dan dapat menentukan strategi penyelesaian masalah, namun belum dapat melaksanakan rencana dan memeriksa per­hitungan jawaban; (3) siswa dengan penalaran matematis tinggi mampu menentukan syarat cukup dan syarat perlu dalam memahami masalah, mampu menentukan strategi penyelesaian masalah, dapat melaksanakan rencana, dan dapat memeriksa perhitungan jawaban; dan (4)  penyebab kesalahan siswa yaitu siswa tidak menuliskan semua informasi, tidak melakukan pe­misalan, dan menuliskan proses pemecahan masalah secara tidak sistematis.


The students' ability to solve world problems of linear equation system in term of reasoning skills

Abstract

This study aimed to describe the students’ ability to solve word problems of a linear equation system in two variables in terms of mathematical reasoning skills. This study was qualitative re­search with descriptive methods. The subjects were eight graders of a private junior high school, namely SMP Muhammadiyah 10 Surakarta, in 2019/2020. The subjects were three students chosen based on the level of mathematical reasoning skills, namely low, medium, and high. The data collection techniques in the form of test results, interviews, and documentation. Data ana­lysis techniques used data reduction, data presentation, and concluding. The results indicated that: (1) the student with low mathematical reasoning was unable to understand problems, un­able to determine problem-solving strategies, unable to implement plans, and unable to looking-back the solution; (2) the student with moderate mathematical reasoning was able to under­stand problems and determine problem-solving strategies, but unable to carry out plans and looking back the solution yet; (3) the student with high mathematical reasoning was able to understand problems, determine problem-solving strategies, carry out plans, and looking back at the solution; and (4) the causes of student errors, namely students did not write down all im­portant information in the problems, did not make supposition, and wrote problem-solving process unsystematically.


Keywords


Pemecahan masalah; penalaran matematis; persamaan linear dua variabel; soal cerita matematika; mathematical reasoning

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References


Abdullah, N. I., Tarmizi, R. A., & Abu, R. (2010). The effects of problem based learning on mathematics performance and affective attributes in learning statistics at form four secondary level. Procedia - Social and Behavioral Sciences, 8, 370–376. https://doi.org/10.1016/j.sbspro.2010.12.052

Adianto, S., Sudia, M., & Misu, L. (2016). Pengaruh model pembelajaran berbasis masalah terhadap kemampuan penalaran matematis siswa kelas VIII SMP Negeri 4 Kendari. Jurnal Penelitian Pendidikan Matematika, 4(1), 141–154. http://ojs.uho.ac.id/index.php/JPPM/article/view/3058

Amalia, A., Hirza, B., & Supriadi, A. (2018). Kemampuan siswa dalam menyelesaikan soal matematika berbentuk cerita pokok bahasan sistem persamaan linear dua variabel. Jurnal Penelitian Pendidikan Matematika, 2(1), 53–62. https://jurnal.um-palembang.ac.id/jpmatematika/article/view/1593

Annizar, A. M., Maulyda, M. A., Khairunnisa, G. F., & Hijriani, L. (2020). Kemampuan pemecahan masalah matematis siswa dalam menyelesaikan soal PISA pada topik geometri. Jurnal Elemen, 6(1), 39–55. https://doi.org/10.29408/jel.v6i1.1688

Aziza, M. (2019). Kemampuan pemecahan masalah siswa dalam menyelesaikan soal tertutup dan terbuka pada pokok bahasan lingkaran. Pythagoras: Jurnal Pendidikan Matematika, 14(2), 126–138. https://doi.org/10.21831/pg.v14i2.26563

Azzahra, R. H., & Pujiastuti, H. (2020). Analisis kemampuan pemecahan masalah siswa pada materi sistem persamaan linear tiga variabel. Transformasi: Jurnal Pendidikan Matematika dan Matematika, 4(1), 153–362. https://doi.org/10.36526/tr.v4i1.876

Chabibah, L. N., Siswanah, E., & Tsani, D. F. (2019). Analisis kemampuan pemecahan masalah siswa dalam menyelesaikan soal cerita barisan ditinjau dari adversity quotient. Pythagoras: Jurnal Pendidikan Matematika, 14(2), 199–210. https://doi.org/10.21831/pg.v14i2.29024

Dung, T. M., & Bao, P. M. (2017). Vietnamese students’ problem-solving skills in learning about error of measurements. IEJME: International Electronic Journal of Mathematics Education, 12(3), 463–474. https://www.iejme.com/article/vietnamese-students-problem-solving-skills-in-learning-about-error-of-measurements

Hadi, S., Retnawati, H., Munadi, S., Apino, E., & Wulandari, N. F. (2018). The difficulties of high school students in solving higher-order thinking skills problems. Problems of Education in the 21st Century, 76(4), 520–532. https://dx.doi.org/10.33225/pec/18.76.520

Hasibuan, A. M., Saragih, S., & Amry, Z. (2019). Development of learning materials based on realistic mathematics education to improve problem solving ability and student learning independence. IEJME: International Electronic Journal of Mathematics Education, 14(1), 243–252. https://doi.org/10.29333/iejme/4000

Hasibuan, S. A., Fauzi, K. M. A., & Mukhtar, M. (2019). Development of PISA mathematical problem model on the content of change and relationship to measure students mathematical problem-solving ability. IEJME: International Electronic Journal of Mathematics Education, 15(2), 1–9. https://doi.org/10.29333/iejme/6274

Hidayatullah, M. S., Sulianto, J., & Azizah, M. (2019). Analisis kemampuan penalaran ditinjau dari kemampuan pemecahan masalah matematis. Thinking Skills and Creativity Journal, 2(2), 93–102. https://ejournal.undiksha.ac.id/index.php/TSCJ/article/view/21198

Kemendikbud. (2019). Hasil PISA Indonesia 2018: Akses makin meluas, saatnya tingkatkan kualitas. https://www.kemdikbud.go.id/main/blog/2019/12/hasil-pisa-indonesia-2018-akses-makin-meluas-saatnya-tingkatkan-kualitas

Kencanawati, S. A. M. M., Sariyasa, S., & Hartawan, I. G. N. Y. (2020). Pengaruh penerapan model pembelajaran SAVI (somatic, auditory, visual, intellectual) terhadap kemampuan berpikir kreatif matematis. Pythagoras: Jurnal Pendidikan Matematika, 15(1), 13–23. https://doi.org/10.21831/pg.v15i1.33006

Lee, C. I. (2017). An appropriate prompts system based on the Polya method for mathematical problem-solving. Eurasia Journal of Mathematics, Science and Technology Education, 13(3), 893–910. https://doi.org/10.12973/eurasia.2017.00649a

Lineaus, J. F., Rizal, M., & Anggraini, A. (2016). Analisis pemecahan masalah sistem persamaan linier dua variabel kelas X SMA Negeri 1 Banawa berdasarkan langkah-langkah Polya. Jurnal Elektronik Pendidikan Matematika Tadulako, 3(3), 277–291. http://jurnal.untad.ac.id/jurnal/index.php/JEPMT/article/view/7191

Linola, D. M., Marsitin, R., & Wulandari, T. C. (2017). Analisis kemampuan penalaran matematis peserta didik dalam menyelesaikan soal cerita di SMAN 6 Malang. Pi: Mathematics Education Journal, 1(1), 27–33. https://doi.org/10.21067/pmej.v1i1.2003

Listanti, D. R., & Mampouw, H. L. (2020). Profil pemecahan masalah geometri oleh siswa SMP ditinjau dari perbedaan kemampuan matematika. Jurnal Cendekia: Jurnal Pendidikan Matematika, 4(1), 365–379. https://j-cup.org/index.php/cendekia/article/view/224

Mawaddah, S., & Anisah, H. (2015). Kemampuan pemecahan masalah matematis siswa pada pembelajaran matematika dengan menggunakan model pembelajaran generatif (generative learning) di SMP. EDU-MAT: Jurnal Pendidikan Matematika, 3(2), 166–175. https://doi.org/10.20527/edumat.v3i2.644

Murtiyasa, B., & Perwita, W. R. G. (2020). Analysis of mathematics literation ability of students in completing PISA-oriented mathematics problems with changes and relationships content. Universal Journal of Educational Research, 8(7), 3160–3172. https://doi.org/10.13189/ujer.2020.080745

OECD. (2019). PISA 2018 results (volume I): What students know and can do. OECD Publishing. https://doi.org/https://doi.org/10.1787/5f07c754-en

Phonapichat, P., Wongwanich, S., & Sujiva, S. (2014). An analysis of elementary school students’ difficulties in mathematical problem solving. Procedia - Social and Behavioral Sciences, 116, 3169–3174. https://doi.org/10.1016/j.sbspro.2014.01.728

Polya, G. (1973). How to solve it: A new aspect of mathematical method. Princeton University Press.

Pradini, W. (2019). Analisis kesalahan siswa dalam menyelesaikan soal cerita persamaan linear dua variabel. Pythagoras: Jurnal Pendidikan Matematika, 14(1), 33-45. https://doi.org/10.21831/pg.v14i1.21481

Puspitasari, L., In’am, A., & Syaifuddin, M. (2018). Analysis of students’ creative thinking in solving arithmetic problems. IEJME: International Electronic Journal of Mathematics Education, 14(1), 49–60. https://doi.org/10.12973/iejme/3962

Rahayuningsih, P., & Qohar, A. (2014). Analisis kesalahan menyelesaikan soal cerita sistem persamaan linear dua variabel (SPLDV) dan scaffolding-nya berdasarkan analisis kesalahan Newman pada siswa kelas VIII SMP Negeri 2 Malang. Jurnal Pendidikan Matematika dan Sains, 2(2), 109–116. https://journal.uny.ac.id/index.php/jpms/article/view/7161

Rafi, I., & Retnawati, H. (2018). What are the common errors made by students in solving logarithm problems? Journal of Physics: Conference Series, 1097(1), 1–9. https://doi.org/10.1088/1742-6596/1097/1/012157

Sandy, W. R., Inganah, S., & Jamil, A. F. (2019). The analysis of students’ mathematical reasoning ability in completing mathematical problems on geometry. MEJ: Mathematics Education Journal, 3(1), 72–79. https://doi.org/10.22219/mej.v3i1.8423

Saragih, S., & Napitupulu, E. (2015). Developing student-centered learning model to improve high order mathematical thinking ability. International Education Studies, 8(6), 104–112. https://doi.org/10.5539/ies.v8n6p104

Siagian, M. V., Saragih, S., & Sinaga, B. (2019). Development of learning materials oriented on problem-based learning model to improve students’ mathematical problem solving ability and metacognition ability. IEJME: International Electronic Journal of Mathematics Education, 14(2), 331–340. https://doi.org/10.29333/iejme/5717

Sutama, S. (2019). Metode penelitian pendidikan. CV Jasmine.

Ulandari, L., Amry, Z., & Saragih, S. (2019). Development of learning materials based on realistic mathematics education approach to improve students’ mathematical problem solving ability and self-efficacy. IEJME: International Electronic Journal of Mathematics Education, 14(2), 375–383. https://doi.org/10.29333/iejme/5721

Wahyuddin, W. (2017). The Analysis of the problem of economic mathematical problems reversed from the ability of logic thinking in students. IEJME: International Electronic Journal of Mathematics Education, 12(3), 585–598. https://www.iejme.com/article/the-analysis-of-the-problem-of-economic-mathematical-problems-reversed-from-the-ability-of-logic

Wahyuddin, W., & Ihsan, M. (2016). Analisis kemampuan menyelesaikan soal cerita matematika ditinjau dari kemampuan verbal pada siswa kelas VII SMP Muhammadiyah se-Kota Makassar. Suska Journal of Mathematics Education, 2(2), 111–116. https://doi.org/10.24014/sjme.v2i2.2213

Wahyuni, Z., Roza, Y., & Maimunah, M. (2019). Analisis kemampuan penalaran matematika siswa kelas X pada materi dimensi tiga. Jurnal Ilmiah Pendidikan Matematika Al Qalasadi, 3(1), 81–92. https://doi.org/10.32505/qalasadi.v3i1.920

Widodo, K., Budiarto, M. T., & Lukito, A. (2018). Profil pemecahan masalah kreatif siswa MA ditinjau dari tingkat math self-efficacy. JRPIPM: Jurnal Riset Pendidikan dan Inovasi Pembelajaran Matematika, 1(1), 11–18. https://doi.org/10.26740/jrpipm.v1n1.p11-18

Yusdiana, B. I., & Hidayat, W. (2018). analisis kemampuan penalaran matematis siswa SMA pada materi limit fungsi. JPMI: Jurnal Pembelajaran Matematika Inovatif, 1(3), 409–414. https://doi.org/10.22460/jpmi.v1i3.p409-414




DOI: https://doi.org/10.21831/pg.v15i2.35419

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