Common errors analysis in solving problems of fractional number reviewed from Newman's theory

Authors

  • Soffi Widyanesti Priwantoro Universitas Ahmad Dahlan
  • Vina Monica Universitas Ahmad Dahlan
  • Nabila Atika Fauzia Universitas Ahmad Dahlan
  • Larasati Larasati Universitas Ahmad Dahlan

DOI:

https://doi.org/10.12928/ijei.v4i2.10291

Keywords:

error analysis, comparing fractions, Newman's theory

Abstract

This research aims to describe common mistakes made by students in calculating fractional numbers, especially in comparing fractional numbers. For this reason, an analysis of the mistakes made by students is required. The subjects in this research were three students of SMP Muhammadiyah 1 Godean who were taken after fulfilling the requirements for selecting research subjects. Test and observation methods are the methods for collecting data. The data analysis technique used in this research is Newman's theory, of which there are 5 stages, namely: (1) reading stage, (2) understanding stage, (3) transformation stage, (4) process skills stage, and (5) Answer Writing Stage. This research shows that the errors made by students in general are: (1) Errors in reading and understanding questions, (2) Errors in reading mathematical comparison symbols, (3) Errors in changing the form of images presented to fractional numbers, and (4) Errors in calculating the LCM value between two denominators.

References

DEAS, H. D. (1960). ‘What Is Mathematics?’ Higher Education Quarterly, 14(1), 35–41. https://doi.org/10.1111/j.1468-2273.1960.tb01726.x

Haryati, Suyitno, & Junaedi. (2016). Analisis kesalahan siswa smp kelas vii dalam menyelesaikan soal cerita Pemecahan masalah berdasar prosedur newman. Unnes Journal of Mathematics Education (UJME), 5(1), 8–15. http://journal.unnes.ac.id/sju/index.php/ujme

Mahmudah, W. (2018). Analysis of Student Errors in Solving Hots Type Math Problems Based on Newman’s Theory. Jurnal UJMC, 4(1), 49–56.

Syahril, R. F., & Kartini, K. (2021). Analisis Kesalahan Siswa Berdasarkan Objek Matematika pada Materi Barisan dan Deret di Kelas XI SMA/MA. Jurnal Cendekia: Jurnal Pendidikan Matematika, 5(3), 2816–2825. https://doi.org/10.31004/cendekia.v5i3.766

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Published

2023-10-30

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Section

Articles