Analysis of Learners' Errors to Solve Problems on Three-Variable Linear Equation System Material Based on Newman Stages

  • Bunga Ariski Universitas Riau
  • Yulie Arni SMK Muhammadiyah 2 Pekanbaru
Keywords: Analysis, Errors, Newman Stages, Three-Variable Linear Equation System

Abstract

The purpose of this research is to describe the errors made by students in solving problems on the topic of the Three-Variable Linear Equation System (SPLTV). The problems are presented in the form of story problems. This research is a descriptive study with a qualitative approach. The subjects in this study were students from class X PPLG at SMK Muhammadiyah 2. A total of 6 subjects were selected from 24 students, consisting of 2 students from the upper group, two from the middle group, and two from the lower group. The selection of 6 subjects was intended to provide a diverse representation of student abilities, allowing for a more in-depth analysis of the common types of errors at each ability level. Data collection techniques were conducted using test instruments. Meanwhile, the data analysis technique in this study is a qualitative analysis based on Newman's framework to identify and classify the errors made by students in solving story problems in the SPLTV material. The results showed that most students still made mistakes in solving story problems based on the types of Newman stage errors, namely 1) Two students were wrong at the reading stage, 2) Two students were wrong at the comprehension stage, 3) Two students were wrong at the transformation stage, 4) Two students were wrong at the process skill stage, 5) One student was wrong at the encoding stage.

References

C. Anwar, Hakikat Manusia dalam Pendidikan: Sebuah Tinjauan Filosofis. Yogyakarta: SUKA-Press, 2014.

H. M. Siregar, “Profil Hasil Belajar Mahasiswa Pendidikan Matematika pada Materi Sistem Persamaan Linear dan Matriks Mata Kuliah Aljabar Linear,” J. Pendidik. Mat. Univ. Lampung, vol. 11, no. 3, pp. 193–203, 2023, doi: http://dx.doi.org/10.23960/mtk/v11i3.pp193-203.

S. Mawaddah and H. Anisah, “Kemampuan Pemecahan Masalah Matematis Siswa Pada Pembelajaran Matematika dengan Menggunakag) di SMPn Model Pembelajaran Generatif (Generative Learning) di SMP,” EDU-MAT J. Pendidik. Mat., vol. 3, no. 2, pp. 166–175, 2015, doi: 10.20527/edumat.v3i2.644.

T. Solfitri, H. M. Siregar, Syofni, R. D. Anggraini, and I. Apristi, “Development of Rational Function Integral E-Worksheet with Linear Factor Denominators to Improve Mathematical Creative Thinking Ability,” J. Educ. Res. Eval., vol. 7, no. 1, pp. 70–79, 2023, doi: 10.23887/jere.v7i1.54238.

H. M. Siregar, “Analisis Kesalahan Siswa Dalam Menyelesaikan Soal Tes Kemampuan Berpikir Kreatif Matematis Materi Lingkaran,” AKSIOMA J. Progr. Stud. Pendidik. Mat., vol. 8, no. 3, pp. 497–507, 2019, doi: 10.24127/ajpm.v8i3.2379.

H. M. Siregar, “Pendidikan untuk Pembangunan Berkelanjutan di Pembelajaran Matematika dalam Meningkatkan Soft Skills Peserta Didik,” Nabla Dewantara J. Pendidik. Mat., vol. 8, no. 1, pp. 37–44, 2023, doi: https://doi.org/10.51517/nabla.v8i1.251.

S. Hidayah, “Analisis Kesalahan Peserta didik dalam Menyelesaikan Soal Cerita SPLDV Berdasarkan Langkah Penyelesaian Polya,” in Prosiding Seminar Nasional Pendidikan Matematika 2016 ~ Universitas Kanjuruhan Malang, 2016, pp. 182–190.

E. G. Permatasari, “Efektivitas metode penemuan terbimbing untuk meningkatkan kemampuan mengasosiasikan soal cerita" peluang" pada mata pelajaran matematika siswa tunanetra kelas XI IPS SMALB PTN Lawang.” Universitas Negeri Malang, 2016.

M. Retna, L. Mubarokah, and S. Suhartatik, “Proses berpikir siswa dalam menyelesaikan soal cerita ditinjau berdasarkan kemampuan matematika,” J. Pendidik. Mat. STKIP PGRI Sidoarjo, vol. 1, no. 2, pp. 71–82, 2013.

S. K. Dewi, I. M. Suarjana, and M. Sumantri, “Penerapan model polya untuk meningkatkan hasil belajar dalam memecahkan soal cerita matematika siswa kelas V,” Mimb. PGSD Undiksha, vol. 2, no. 1, 2014.

N. Ningsih, S. Hariyani, and T. Fayeldi, “Analisis Kesalahan Siswa dalam Menyelesaikan Soal Lingkaran Berdasarkan Kategori Watson,” UNION J. Pendidik. Mat., vol. 7, no. 2, pp. 187–200, 2019.

P. Yuanita and T. Solfitri, “Analisis Kesalahan Siswa Menyelesaikan Soal Matematika Materi Pokok Bangun Datar Segiempat pada Pelaksanaan Pembelajaran Kooperatif Pendekatan Struktural Think Pair Square (TPS),” Al-Khwarizmi J. Pendidik. Mat. dan Ilmu Pengetah. Alam, vol. 2, no. 2, pp. 127–142, 2014.

M. E. Adilistiyo and H. W. Slamet, “Analisis Kesalahan Siswa SMP Kelas VII dalam Menyelesaikan Soal pada Materi Himpunan.” Universitas Muhammadiyah Surakarta, 2017.

N. W. Damayanti and S. N. Mayangsari, “Analisis Kesalahan Siswa Dalam Pemahaman Konsep Operasi Hitung pada Pecahan,” J. Ilm. Edutic Pendidik. dan Inform., vol. 4, no. 1, pp. 13–19, 2017, doi: https://doi.org/10.21107/edutic.v4i1.3389.

A. Suyitno and H. Suyitno, “Learning Therapy For Students In Mathematics Communication Correctly Based-On Application Of Newman Procedure (A Case Of Indonesian Students),” Int. J. Educ. Res., vol. 3, no. 1, pp. 529–538, 2015.

A. White, “Active Mathematics in Classrooms: Finding Out Why Children Make Mistakes-And Then Doing Something To Help Them,” Sq. One, vol. 15, no. 4, pp. 15–19, 2005.

Sugiyono, Metode Penelitian Kuantitatif, Kualitatif, dan R&D . Bandung, Indonesia: Alfabeta, 2018.

J. W. Creswell and J. D. Creswell, Research Design: Qualitative, Quantitative, and Mixed Methods Approaches. Los Angeles: Sage, 2018.

Y. Kurniasari, A. I. Sugandi, and R. Sariningsih, “Analisis Kesalahan Siswa Kelas X dalam Menyelesaikan Soal Materi Fungsi Kuadrat Berdasarkan Prosedur Kastolan,” J. Pembelajaran Mat. Inov., vol. 4, no. 6, pp. 1561–1568, 2021, doi: https://doi.org/10.22460/jpmi.v4i6.p%25p.

C. Ma’rifah, C. Sa’dijah, S. Subanji, and T. Nusantara, “Profil Kemampuan Komunikasi Matematis Peserta Didik dalam Pemecahan Masalah Soal Cerita,” Edu Sains J. Pendidik. Sains Mat., vol. 8, no. 2, pp. 43–56, 2020, doi: 10.23971/eds.v8i2.1991.

F. A. Halim and N. I. Rasidah, “Analisis Kesalahan Siswa dalam Menyelesaikan Soal Cerita Aritmatika Sosial Berdasarkan Prosedur Newman,” GAUSS J. Pendidik. Mat., vol. 2, no. 1, pp. 35–44, 2019, doi: https://doi.org/10.30656/gauss.v2i1.1406.

A. A. Wijaya and Masriyah, “Analisis Kesalahan Siswa dalam Menyelesaikan Soal Cerita Materi Sistem Persamaan Linear Dua Variabel,” MATHEdunesa, vol. 2, no. 1, pp. 1–7, 2013.

D. Rahmawati and L. D. Permata, “Analisis Kesalahan Siswa Dalam Menyelesaikan Soal Cerita Program Linear Dengan Prosedur Newman,” J. Elektron. Pembelajaran Mat., vol. 5, no. 2, pp. 173–185, 2018.

G. W. Sunardiningsih, S. Hariyani, and T. Fayeldi, “Analisis Kesalahan Siswa dalam Menyelesaikan Soal Matematika Berdasarkan Analisis Newman,” J. Terap. Sains Teknol., vol. 1, no. 2, pp. 41–45, 2019, doi: https://doi.org/10.21067/jtst.v1i2.3447.

Published
2024-06-17
Section
Articles