ANALISIS KEMAMPUAN ANALISIS KEMAMPUAN PENALARAN MATEMATIS SISWA SMA PADA MATERI MATRIKS

Martha Lestari(1*), Subanji Subanji(2), Santi Irawati(3),

(1) 
(2) Universitas Negeri Malang
(3) Universitas Negeri Malang
(*) Corresponding Author


Abstract


Penelitian ini bertujuan untuk menganalisis tingkat kemampuan penalaran matematis siswa dalam menyelesaikan masalah matriks. Penelitian ini merupakan penelitian deskriptif kualitatif dengan teknik analisis data dimodifikasi dari Sumaryanta (2015) yang kemudian digolongkan mengikuti kategori oleh Riduwan (2018). Subjek penelitian ini adalah siswa kelas XI IPA 1 sesi B di SMA Negeri 4 Kota Jambi sebanyak 17 siswa. Instrumen yang digunakan adalah lembar tes kemampuan penalaran matematis siswa dan pedoman wawancara. Berdasarkan hasil analisis diperoleh bahwa kemampuan penalaran matematis dalam menyajikan pernyataan matematika secara tertulis mencapai; 80,59%; penalaran matematis siswa dalam melakukan manipulasi matematis mencapai 99,41%; penalaran matematis siswa dalam memeriksa kesahihan dari suatu argumen mencapai 93,72%; dan penalaran matematis siswa dalam menarik kesimpulan mencapai 69,41%. Rerata kemampuan penalaran matematis siswa mencapai 85,78%. tergolong sangat baik.

This study aims to analyze the level of students' mathematical reasoning ability in solving matrix problems. This research is a qualitative descriptive study with data analysis techniques modified from Sumaryanta (2015) which was then classified by category by Riduwan (2018). The subjects of this study were students of class XI IPA 1 session B at SMA Negeri 4 Jambi City as many as 17 students. The instrument used is a student's mathematical reasoning ability test sheet and interview guidelines. Based on the results of the analysis, it was found that the ability of mathematical reasoning in presenting mathematical statements in writing reached; 80.59%; students' mathematical reasoning in performing mathematical manipulations reached 99.41%; students' mathematical reasoning in checking the validity of an argument reached 93.72%; and students' mathematical reasoning in drawing conclusions reached 69.41%. The average mathematical reasoning ability of students reached 85.78%. classified as very good.

Keywords


Mathematical Reasoning Ability; Matrix

References


Adhabi, E. A. R., & Anozie, C. B. L. (2017). Literature Review for the Type of Interview in Qualitative Research. International Journal of Education, 9(3), 86. https://doi.org/10.5296/ije.v9i3.11483

Agoestanto, A., Yuda, O., Priyanto, S., & Eko, B. (2018). The effectiveness of auditory intellectually repetition learning aided by questions box towards students’ mathematical reasoning ability grade XI SMA 2 Pati. Unnes Journal of Mathematics Education, 7(1), 17–23. https://doi.org/10.15294/ujme.v7i1.15828

Badri, S. S. Al, & Sayed, R. A. Al. (2016). ع ةردقلا ةيمنت يف اهنيوكتو ةيضايرلا تلاكشملا لح ىلع مئاق حرتقم يئارثإ جمانرب ةيلعاف يساسلأا رشاعلا فصلاب ليصحتلا يعفترم ةةلطلا ىدل يضايرلا سحلا نيوكتو للادتسلاا د ٔ طلا ٌ ا ْ لع ْ بأ اضز ّ * ٖ زدبلا د ٔ عض تيب ُ ملاض ٌ انع ٘ يطلض ، ع ْ باق ٌ اطلطلا ٘ عم.

Danişman, Ş., & Erginer, E. (2017). The predictive power of fifth graders’ learning styles on their mathematical reasoning and spatial ability. Cogent Education, 4(1). https://doi.org/10.1080/2331186X.2016.1266830

Fajriyah, L., & Zanthy, L. S. (2019). Penerapan Pendekatan Kontekstual Terhadap Kemampuan Penalaran Matematis Siswa SMP. Journal On Education, 1(3), 211–216. http://www.jonedu.org/index.php/joe/article/view/140

Farida, A. R., Caswita, & Gunawibowo, P. (2018). , 2018 Accepted: October 27. 6, 644–654.

Handayani, S., & Mandasari, N. (2018). Pengembangan Lembar Kerja Siswa (LKS) Berbasis Problem Based Learning untuk Meningkatkan Kemampuan Penalaran Matematika. Jurnal Pendidikan Matematika (JUDIKA EDUCATION), 1(2), 144–151. https://doi.org/10.31539/judika.v1i2.412

Hendriana, H., Prahmana, R. C. I., & Hidayat, W. (2018). Students’ Performance Skills in Creative Mathematical Reasoning. Infinity Journal, 7(2), 83. https://doi.org/10.22460/infinity.v7i2.p83-96

Hermawan, A. S., & Hidayat, W. (2018). Penemuan Terbimbing. JPMI (Jurnal Pembelajaran Matematika Inovatif), 1(3), 7–12. https://doi.org/10.22460/jpmi.v1i3.219-228

Hidayat, W., Wahyudin, & Prabawanto, S. (2018). Improving students’ creative mathematical reasoning ability students through adversity quotient and argument driven inquiry learning. Journal of Physics: Conference Series, 948(1). https://doi.org/10.1088/1742-6596/948/1/012005

Hidayat, Wahyu. (2017). Adversity Quotient Dan Penalaran Kreatif Matematis Siswa Sma Dalam Pembelajaran Argument Driven Inquiry Pada Materi Turunan Fungsi. KALAMATIKA Jurnal Pendidikan Matematika, 2(1), 15. https://doi.org/10.22236/kalamatika.vol2no1.2017pp15-28

Karim, K., & Normaya, N. (2015). Kemampuan Berpikir Kritis Siswa dalam Pembelajaran dalam Pembelajaran Matematika dengan Menggunakan Model Jucama di Sekolah Menengah Pertama. EDU-MAT: Jurnal Pendidikan Matematika, 3(1). https://doi.org/10.20527/edumat.v3i1.634

Limustafa, M., & Awan, H. (2019). ANALISIS KEMAMPUAN PENALARAN MATEMATIS SISWA SMA PADA MATERI LIMIT FUNGSI. Analisis Standar Pelayanan Minimal Pada Instalasi Rawat Jalan Di RSUD Kota Semarang, 3(2018), 103–111.

Maoto, S., Masha, K., & Lekwa, M. (2018). Teachers’ learning and assessing of mathematical processes with emphasis on representations, reasoning and proof. Pythagoras-Journal of the Association for Mathematics Education of South Africa, 1–10. https://doi.

Nur Sholihat, N. A., Hidayat, W., & Rohaeti, E. E. (2018). Penghargaan Diri Dan Penalaran Matematis Siswa Mts. JPMI (Jurnal Pembelajaran Matematika Inovatif), 1(3), 299. https://doi.org/10.22460/jpmi.v1i3.p299-304

OECD. (2019). PISA 2018 Assessment and Analytical Framework, PISA. In OECD Publishing. https://doi.org/10.1787/b25efab8-en

Palobo, M., & Nur’aini, K. D. (2017). Pengembangan Perangkat Pembelajaran Berbasis Problem Based Learning Berorientasi Pada Peningkatan Kemampuan Penalaran Dan Sikap Siswa Terhadap Matematika. Jurnal Magistra, 5(1), 15–25. https://core.ac.uk/download/pdf/268213993.pdf

Putri, D. K., Sulianto, J., & Azizah, M. (2019). Kemampuan Penalaran Matematis Ditinjau dari Kemampuan Pemecahan Masalah. International Journal of Elementary Education, 3(3), 351. https://doi.org/10.23887/ijee.v3i3.19497

Riduwan. (2018). Dasar-dasar Statistik (Riduwan (ed.)). Alfabeta.

Roesdiana. (2016). Judika (jurnal pendidikan unsika). 4(November), 169–184.

Safitri et al. (2018). Analisis Kemampuan Komunikasi Matematis Siswa Smp Pada Materi Segitiga Dan Segiempat. Jurnal Cendekia : Jurnal Pendidikan Matematika, 2(1), 97–104. https://doi.org/10.31004/cendekia.v2i1.36

Sumaryanta. (2015). Pedoman Penskoran. Indonesian Digital Journal of Mathematics and Education., 2(3), 181–190.

Syamsuri, Marethi, I., & Mutaqin, A. (2018). Understanding on strategies of teaching mathematical proof for undergraduate students. Cakrawala Pendidikan, 37(2), 282–293. https://doi.org/10.21831/cp.v37i2.19091

Wilkinson, L. C., Bailey, A. L., & Maher, C. A. (2018). Students’ Mathematical Reasoning, Communication, and Language Representations: A Video-Narrative Analysis. ECNU Review of Education, 1(3), 1–22. https://doi.org/10.30926/ecnuroe2018010301

Yusdiana, B. I., & Hidayat, W. (2018). Analisis Kemampuan Penalaran Matematis Siswa Sma Pada Materi Limit Fungsi. JPMI (Jurnal Pembelajaran Matematika Inovatif), 1(3), 409. https://doi.org/10.22460/jpmi.v1i3.p409-414




DOI: http://dx.doi.org/10.24127/ajpm.v11i1.4577

Refbacks

  • There are currently no refbacks.