Analisis Kesalahan Peserta Didik dalam Menyelesaikan Soal Teorema Pythagoras

Authors

  • Rohmatulloh Rohmatulloh Universitas Sultan Ageng Tirtayaasa, Indonesia
  • Anwar Mutaqin Universitas Sultan Ageng Tirtayasa, Indonesia
  • Cecep Anwar Hadi Firdos Santosa Universitas Sultan Ageng Tirtayasa, Indonesia

DOI:

https://doi.org/10.30738/union.v10i3.12513

Keywords:

Analysis, Learner Error, Pythagorean Theorem.

Abstract

Most junior high school students have difficulty in solving math problems, causing students to make mistakes in solving math problems. The purpose of this study is to analyze the types of mistakes made by students in doing problems in the pythagorean theorem material. This type of research is qualitative descriptive research. The instruments in this study are test and interview instruments. The subjects of the study were as many as 9 students from class VIII at SMP Negeri 25 Kota Serang. The results of error analysis in this study show that students made mistakes in solving mathematical problems in the pythagorean theorem material in the form of fact errors, concept errors, principle errors and operating errors. The percentage of errors made by learners on factual errors was 17%, the percentage on conceptual errors was 44%, the percentage on principle errors was 17%, and the percentage on operating errors was 22%. The type of mistake most made by learners is the type of misconception. Concept errors occur because students do not understand the concept of pythagorean theorem material, causing students to have difficulty in solving mathematical problems in pythagorean theorem material.

References

Anjos, M. F., & Vieira, M. V. C. (2021). Motivation and Mathematics Achievement: A Vietnamese Case Study. Journal on Mathematics Education, 12(3), 449–468. https://doi.org/10.1007/978-3-030-70990-7_1 DOI: https://doi.org/10.22342/jme.12.3.14274.449-468

Annajmi, Pd, M., Minarni, A., Napitupulu, E. E., & Lubis, S. (2020). Kemampuan Berpikir Matematis dan Aspek Afektif Siswa. Harapan Cerdas Publisher.

Cresswell, J. (2015). Riset Pendidikan: Perencanaan, Pelaksanaan, dan Evaluasi Riset Kualitatif dan Kuantitatif. Pustaka Pelajar.

Fitria, T. N. (2013). Analisis Kesalahan Siswa Dalam Menyelesaikan Soal Cerita Berbahasa Inggris Pada Materi Persamaan Dan Pertidaksamaan Linear Satu Variabel. MATHEdunesa, 2(1), 1–8.

Fitriyani, W., & Sugiman. (2014). Jurnal Riset Pendidikan Pengembangan Perangkat Pembelajaran Teorema Pythagoras Dengan Pendekatan Ideal Berbantuan Geogebra. Jurnal Riset Pendidikan Matematika, 1(2), 268–283. DOI: https://doi.org/10.21831/jrpm.v1i2.2681

Gustianingum, R. A., & Kartini, K. (2021). Analisis Kesalahan Siswa Berdasarkan Objek Matematika Menurut Soedjadi pada Materi Determinan dan Invers Matriks. Mosharafa: Jurnal Pendidikan Matematika, 10(2), 235–244. https://doi.org/10.31980/mosharafa.v10i2.977 DOI: https://doi.org/10.31980/mosharafa.v10i2.977

Hasan, N., Subanji, S., & Sukorianto, S. (2019). Analisis Kesalahan Siswa Kelas VIII dalam Menyelesaikan Soal Cerita Terkait Teorema Pythagoras. Jurnal Pendidikan: Teori, Penelitian, Dan Pengembangan, 4(4), 468. https://doi.org/10.17977/jptpp.v4i4.12264 DOI: https://doi.org/10.17977/jptpp.v4i4.12264

Hidayah, S. (2016). Analisis Kesalahan Siswa Dalam Menyelesaikan Soal Cerita Spldv Berdasarkan Langkah Penyelesaian Polya. Prosiding Seminar Nasional Pendidikan Matematika, 1. https://doi.org/10.36709/jpm.v11i1.10022 DOI: https://doi.org/10.26594/jmpm.v1i2.582

Johar, R., Yusniarti, S., & Saminan. (2018). The analysis of proportional reasoning problem in the Indonesian mathematics textbook for the junior high school. Journal on Mathematics Education, 9(1), 55–68. https://doi.org/10.22342/jme.9.1.4145.55-68 DOI: https://doi.org/10.22342/jme.9.1.4145.55-68

Kamaliyah, Zulkardi, & Darmawijoyo. (2013). Developing the sixth level of PISA-like mathematics problems for secondary school students. Journal on Mathematics Education, 4(1), 9–28. https://doi.org/10.22342/jme.4.1.559.9-28 DOI: https://doi.org/10.22342/jme.4.1.559.9-28

Kulsum, S. I., Wijaya, T. T., Hidayat, W., & Kumala, J. (2019). Analysis On High School Students’ Mathematical Creative Thinking Skills on The Topic Of Sets. Jurnal Cendekia : Jurnal Pendidikan Matematika, 3(2), 431–436. https://doi.org/10.31004/cendekia.v3i2.128 DOI: https://doi.org/10.31004/cendekia.v3i2.128

Layn, R., & Kahar, S. (2017). Analisis Kesalahan Siswa Dalam Menyelesaikan Soal Cerita Matematika. Jurnal Math Educator Nusantara (JMEN), 03(02), 59–145.

Mardiani. (2017). Eksploitasi Kesalahan Konsep Teori Graf Dalam Perkuliahan Matematika Diskrit Menggunakan Metode. Jurnal"Masharafa", 6(September), 365–372. DOI: https://doi.org/10.31980/mosharafa.v6i3.325

Mulyani, M., & Muhtadi, D. (2019). Analisis Kesalahan Siswa Dalam Menyelesaikan Soal Trigonometri Tipe Higher Order Thinking Skill Ditinjau Dari Gender. Jurnal Penelitian Dan Pembelajaran Matematika, 12(1). https://doi.org/10.30870/jppm.v12i1.4851 DOI: https://doi.org/10.30870/jppm.v12i1.4851

Nur, N., Rusli, & Dassa. (2018). Analisis Kesalahan Siswa dalam Menyelesaikan Soal Cerita Matematika pada Materi Barisan dan Deret Aritmatika. Issues in Mathematics Education, 2(1), 43–48.

Nurkamilah, M., M Fahmi, N., & Aep, S. (2018). Mengembangkan Literasi Matematika Siswa Sekolah Dasar melalui Pembelajaran Matematika Realistik Indonesia. Jurnal Theorems (The Original Research of Mathematics), 2(2), 70–79. http://jurnal.unma.ac.id/index.php/th/article/view

Pangestu, D. A., & Kadarisma, G. (2021). Analisis Kesalahan Siswa Smp Dalam Menyelesaikan Materi Teorema Pythagoras. Jurnal Pembelajaran Matematika Inovatif, 4(6). https://doi.org/10.31004/cendekia.v5i3.870 DOI: https://doi.org/10.31004/cendekia.v4i1.186

Rafiepour, A., & Farsani, D. (2021). Cultural historical analysis of iranian school mathematics curriculum: The role of computational thinking. Journal on Mathematics Education, 12(3), 411–426. https://doi.org/10.22342/JME.12.3.14296.411-426 DOI: https://doi.org/10.22342/jme.12.3.14296.411-426

Rahmania, L., & Rahmawati, A. (2016). Analisis Kesalahan Siswa dalam Menyelesaikan Soal Ceria Persamaan Linier Satu Variabel (Analisi of Student’s Errors in Solving Word Problems of Linear Equations in One Variable). Jurnal Matematika Dan Pendidikan Matematika, 1(2), 165–174. DOI: https://doi.org/10.26594/jmpm.v1i2.639

Rahmawati, D., & Permata, L. D. (2018). Analisis Kesalahan Siswa Dalam Menyelesaikan Soal Cerita Program Linear Dengan Prosedur Newman. Jurnal Elektronik Pembelajaran Matematika, 5(2), 173–185. DOI: https://doi.org/10.30656/gauss.v2i1.1406

Rina, & Bernard, M. (2021). Analisis Kesalahan Siswa SMP Kelas VIII dalam Menyelesaikan Soal pada Materi Teorema Pythagoras. Jurnal Cendekia: Jurnal Pendidikan Matematika, 05(3), 2836–2845. http://jurnal.untirta.ac.id/index.php/JPPM/article/view/6157

Rohmah, A. S. (2020). Analisis Kesalahan Siswa MTs Dalam Menyelesaikan Soal Pada Materi Teorema Pythagoras. Jurnal Pembelajaran Matematika Inovatif, 3(5), 433–442. https://doi.org/10.36526/tr.v4i2.1009 DOI: https://doi.org/10.31004/cendekia.v5i3.870

Romika, & Amalia, Y. (2014). Masalah Matematika Menggunakan Media Visual Dan Non Visualpada Materi Bangun Ruang Sisi Datar Di Smp. Matematika Jurnal, 1(2), 18–32.

Sari, H. M., & Afriansyah, E. A. (2020). Analisis Miskonsepsi Siswa SMP pada Materi Operasi Hitung Bentuk Aljabar. Mosharafa: Jurnal Pendidikan Matematika, 9(3), 439–450. https://doi.org/10.31980/mosharafa.v9i3.511 DOI: https://doi.org/10.31980/mosharafa.v9i3.511

Sepeng, P., & Sigola, S. (2013). Making sense of errors made by learners in mathematical word problem solving. Mediterranean Journal of Social Sciences, 4(13), 325–333. https://doi.org/10.5901/mjss.2013.v4n13p325 DOI: https://doi.org/10.5901/mjss.2013.v4n13p325

Siregar, N. F. (2019). Analisis Kesalahan Siswa Dalam Menyelesaikan Soal Matematika Materi Lingkaran. Logaritma: Jurnal Ilmu-Ilmu Pendidikan Dan Sains, 7(1), 32–35. https://doi.org/10.31004/innovative.v1i1.2033 DOI: https://doi.org/10.24952/logaritma.v7i01.1660

Subanji, & Nusantara, T. (2013). Karakterisasi Kesalahan Berpikir Siswa Dalam Mengonstruksi Konsep Matematika. Jurnal Ilmu Pendidikan, 19(2), 208–2017. DOI: https://doi.org/10.36312/e-saintika.v2i1.80

Sulistyaningsih, A., Suparman, & Rakhmawati, E. (2019). Mathematics module development design based on PBL to improve mathematics problem-solving ability. International Journal of Scientific and Technology Research, 8(11), 2508–2516.

Triyono, A., Charitas, R., Prahmana, I., Wibowo, T., & Kusuma, A. P. (2022). Developing Inquiry-Based Worksheet to Explore The Mathematics Critical Thinking for Seventh Grader Students. 6(2), 10–19.

Ulandari, N., Putri, R., Ningsih, F., & Putra, A. (2019). Efektivitas Model Pembelajaran Inquiry terhadap Kemampuan Berpikir Kreatif Siswa pada Materi Teorema Pythagoras. Jurnal Cendekia : Jurnal Pendidikan Matematika, 3(2), 227–237. https://doi.org/10.31004/cendekia.v3i2.99 DOI: https://doi.org/10.31004/cendekia.v3i2.99

Yadrika, G., Amelia, S., & Roza, Y. (2019). Analisis Kesalahan Siswa SMP Dalam Menyelesaikan Soal Pada Materi Teorema Pythagoras dan Lingkaran. Jppm, 12(2). DOI: https://doi.org/10.25157/teorema.v5i2.3070

Published

2022-11-15

How to Cite

Rohmatulloh, R., Anwar Mutaqin, & Cecep Anwar Hadi Firdos Santosa. (2022). Analisis Kesalahan Peserta Didik dalam Menyelesaikan Soal Teorema Pythagoras. Union: Jurnal Ilmiah Pendidikan Matematika, 10(3), 281–292. https://doi.org/10.30738/union.v10i3.12513

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