Analisis Kesalahan Siswa dalam Menyelesaikan Soal Persamaan dan Pertidaksamaan Nilai Mutlak Berdasarkan Teori Newman

Octavita Cahyaningtyas; Rustanto Rahardi; Santi Irawati

doi:10.22437/edumatica.v11i03.14201

Authors

Octavita Cahyaningtyas Universitas Negeri Malang
Rustanto Rahardi Universitas Negeri Malang
Santi Irawati Universitas Negeri Malang

DOI:

https://doi.org/10.22437/edumatica.v11i03.14201

Keywords:

equations and inequalities absolute value, error analysis, newman's theory

Abstract

The purpose of this study is to describe the types of errors that students make in solving absolute value equations and inequalities using Newman's theory (NEA). The method used in this study is a qualitative descriptive method. Questions were given to 30 students of class X SMA Negeri 1 Sumberpucung. The data collection techniques in this study were the results of students' written tests and the results of interviews related to the results of students' written tests. Based on the results of the research conducted, it is known that there are no students who experience reading errors on all questions while encoding error in answers are the mistakes that most students make. This happens because when students make mistakes in understanding, students will automatically make mistakes in understanding, transforming, processing skill and encoding error. The mistakes that students make are based on their lack of understanding of the concept of absolute value. Because if students understand the existing concepts correctly, they will be able to solve various existing problems. So that teachers are advised to provide meaningful learning for students so that students do not easily forget the concept of a material. From this research, it can be concluded that the types of errors that students make are understanding, transforming, processing skill and encoding error.

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References

Ahmad, A., Tarmizi, R. A., & Nawawi, M. 2010. Visual Representations in Mathematical Word Problem Solving Among Form Four Students in Malacca. Procedia - Social and Behavioral Sciences. https://doi.org/10.1016/j.sbspro.2010.12.050.

Almog, N., & Ilany, B. S. 2012. Absolute Value Inequalities: High School Students’ Solutions And Misconceptions. Educational Studies in Mathematics. https://doi.org/10.1007/s10649-012-9404-z.

Amir, M. F. 2017. Identifikasi Kesulitan Mahasiswa dalam Memecahkan Masalah Open Ended Materi Nilai Mutlak. Jurnal Mercumatika : Jurnal Penelitian Matematika Dan Pendidikan Matematika. https://doi.org/10.26486/jm.v2i2.291.

Bishop, A. 1998. M. A. (Ken) Clements and Nerida F. Ellerton (1996).Mathematics Education Research: Past, Present and Future. Mathematics Education Research Journal. https://doi.org/10.1007/bf03217059.

Brown, G., & Quinn, R. 2006. Algebra Students’ Difficulty with Fractions: An Error Analysis. Australian Mathematics Teacher.

Budi, B. S., & Nusantara, T. 2020. Analisis Kesalahan Newman Siswa dalam Menyelesaikan Soal Nilai Mutlak dan Scaffolding -Nya. Jurnal Pendidikan Matematika Undiksha, 11(2), 2599-2600.

Ciltas, A., & Tatar, E. 2011. Diagnosing Learning Difficulties Related to the Equation and Inequality that Contain Terms with Absolute Value. International Online Journal of Educational Sciences.

Dahar, R. W. 2015. Dasar-Dasar Filosofis Pendidikan Sains. Jurnal Pengajaran Matematika Dan Ilmu Pengetahuan Alam. https://doi.org/10.18269/jpmipa.v1i1.488.

El-khateeb, M. M. A. 2016. Errors Analysis of Solving Linear Inequalities among the Preparatory Year Students at King Saud University . Journal of Education and Practice.

Elbrink, M. 2008. Analyzing and Addressing Common Mathematical Errors in Secondary Education. BS Undergraduate Mathematics Exchange.

Gilmore, C., Keeble, S., Richardson, S., & Cragg, L. 2017. The Interaction of Procedural Skill, Conceptual Understanding and Working Memory in Early Mathematics Achievement. Journal of Numerical Cognition. https://doi.org/10.5964/jnc.v3i2.51.

Hidayati, V. R., Subanji, & Sisworo. 2017. Analisis Kesalahan Siswa SMP dalam Menyelesaikan Masalah Matematika Pisa pada Tahapan Penyelesaian Blumleiss. Prosiding Seminar Nasional Pendidikan Matematika 2017.

Jha, S. K. 2012. Mathematics Performance of Primary School Students in Assam (India): An Analysis Using Newman Procedure. International Journal of Computer Applications in in Engineering Sciences.

Karnasih, I. 2015. Analisis Kesalahan Newman pada Soal Cerita Matematis (Newman’S Error Analysis in Mathematical Word Problems). Jurnal Paradikma.

Khiat, H. 2010. A Grounded Theory Approach: Conceptions of Understanding in Engineering Mathematics Learning. Qualitative Report. https://doi.org/10.46743/2160-3715/2010.1356.

Marisa. 2010. Belajar Matematika yang Menyenangkan Melalui Metode Permainan. Jurnal Ilmiah VISI PTK-PNF 5(1), 105-110.

Negara, G. P. J., Noviantari, P. S., & Payadnya, P. A. A. 2020. Analisis Kesalahan Siswa dalam Mengerjakan Soal Matematika Berdasarkan Kriteria Watson pada Pokok Bahasan Persamaan dan Pertidaksamaan Nilai Mutlak Kelas X SMA Negeri 6 Denpasar. Mahasaraswati Seminar Nasional Pendidikan Matematika (MAHASENDIKA), 181-190.

Praktitipong, N., & Nakamura, S. 2006. Analysis of Mathematics Performance of Grade Five Students in Thailand Using Newman Procedure. Journal of International Cooperation in Education,.

Singh, P., Rahman, A. A., & Hoon, T. S. 2010. The Newman Procedure for Analyzing Primary Four Pupils Errors on Written Mathematical Tasks: A Malaysian Perspective. Procedia - Social and Behavioral Sciences. https://doi.org/10.1016/j.sbspro.2010.12.036

Suyitno, A. 2015. Learning Therapy For Students In Mathematics Communication Correctly Based-On Application Of Newman Procedure (A Case Of Indonesian Students). International Journal of Education and Research.

Tambychik, T., & Meerah, T. S. M. 2010. Students’ Difficulties in Mathematics Problem-Solving: What Do They Say? Procedia - Social and Behavioral Sciences. https://doi.org/10.1016/j.sbspro.2010.12.020.

Wahyuni, A. 2017. Analisis Hambatan Belajar Mahasiswa pada Mata Kuliah Kalkulus Dasar. JNPM (Jurnal Nasional Pendidikan Matematika). https://doi.org/10.33603/jnpm.v1i1.253.

White, A. L. 2010. Numeracy, Literacy and Newman’s Error Analysis. Allan Leslie White Journal of Science and Mathematics Education in Southeast Asia.

Widodo, S. A. 2013. Analisis Kesalahan dalam Pemecahan Masalah Divergensi Tipe Membuktikan pada Mahasiswa Matematika. Jurnal Pendidikan Dan Pengajaran.

Wu, M., & Adams, R. J. 2006. Modelling Mathematics Problem Solving Item Responses Using A Multidimensional IRT Model. Mathematics Education Research Journal. https://doi.org/10.1007/BF03217438.