Main Article Content

Abstract

Successfully solving mathematical literacy problems by primary students is essential to prepare an earlier generation to deal with various problems in life contexts and have a positive motivation towards mathematics. Previous empirical evidence shows that primary students are still solving mathematical literacy problems with various incorrect strategies and various levels of errors. Meanwhile, Newman Errors Analysis (NEA) can be used to analyze the forms of primary students' errors in solving problems. This research aims to analyze the forms of primary students' errors in solving mathematical literacy problems using NEA. This research applied a qualitative method, with subjects consisting of 35 fifth-grade primary students. Data was collected using tests, interviews, and documentation. Data analysis techniques regarding primary students' errors were carried out through three stages: data reduction, data presentation, and conclusion drawing. The forms of errors are emphasized in NEA categories, namely reading, comprehension, transformation, process skills, and encoding. The results showed that primary students made all forms of Newman errors in solving mathematical literacy problems. The highest form of error is comprehension errors, while the lowest is process skill. The research results suggest that primary students need to be familiar with numeracy learning, emphasizing meaningful comprehension to avoid errors in solving mathematical literacy problems.

Keywords

NEA Mathematical Literacy Problems Flat Shapes Student Errors Primary School

Article Details

How to Cite
Mubarokah, A. A. L., & Amir, M. F. (2024). Primary Students’ Errors in Solving Mathematical Literacy Problems Based on Newman Analysis. Jurnal Pendidikan Matematika, 18(2), 217–230. https://doi.org/10.22342/jpm.v18i2.pp217-230

References

  1. Abadi, M. A. S., & Amir, M. F. (2022). Analysis of the elementary school students difficulties of in solving perimeter and area problems. JIPM (Jurnal Ilmiah Pendidikan Matematika), 10(2), 396. https://doi.org/10.25273/jipm.v10i2.11053
  2. Abdullah, A. H., Abidin, N. L. Z., & Ali, M. (2015). Analysis of students’ errors in solving higher order thinking skills (HOTS) problems for the topic of fraction. Asian Social Science, 11(21), 133–142. https://doi.org/10.5539/ass.v11n21p133
  3. Agustiani, N. (2021). Analyzing students’ errors in solving sequence and series application problems using newman procedure. International Journal on Emerging Mathematics Education, 5(1), 23. https://doi.org/10.12928/ijeme.v5i1.17377
  4. Amir, M. F., Wardana, M. D. K., & Usfuriah, D. (2021). Visual and symbolic representation forming: A case of relational understanding on elementary student. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 10(4), 2014. https://doi.org/10.24127/ajpm.v10i4.4361
  5. Astutik, E. P., & Purwasih, S. M. (2023). Field dependent student errors in solving linear algebra problems based on newman’s procedure. Mosharafa: Jurnal Pendidikan Matematika, 12(1), 169–180. https://doi.org/10.31980/mosharafa.v12i1.1684
  6. Brown, J., & Skow, K. (2016). Mathematics : identifying and addressing student errors. Case Study Unit, 1–28. https://iris.peabody.vanderbilt.edu/wp-content/uploads/pdf_case_ studies/ics_matherr.pdf
  7. Bütüner, S. Ö. (2020). Comparison of high-achieving sixth grade students’ performances on written computation, symbolic representation, and pictorial representation tests. Acta Didactica Napocensia, 13(2), 233–255. https://doi.org/10.24193/adn.13.2.16
  8. Canbazoğlu, H. B., & Tarim, K. (2021). Elementary pre-service teachers’ mathematical literacy problem posing skils and processes for developing a mathematical activity. Milli Egitim, 50(231), 147–172. https://doi.org/10.37669/milliegitim.743434
  9. Darmawan, I., Kharismawati, A., Hendriana, H., & Purwasih, R. (2018). Analisis kesalahan siswa SMP berdasarkan newman dalam menyelesaikan soal kemampuan berpikir kritis matematis pada materi bangun ruang sisi datar. JURING (Journal for Research in Mathematics Learning), 1(1), 71. https://doi.org/10.24014/juring.v1i1.4912
  10. Fery, M. F., Wahyudin, & Tatang, H. (2017). Improving primary students mathematical literacy through problem based learning and direct instruction. Educational Research and Reviews, 12(4), 212–219. https://doi.org/10.5897/err2016.3072
  11. Genc, M., & Erbas, A. K. (2020). Exploring secondary mathematics teachers’ conceptions of the barriers to mathematical literacy development. International Journal for Mathematics Teaching and Learning, 21(2), 143–173. https://doi.org/10.4256/ijmtl.v21i2.181
  12. Haerani, A., Novianingsih, K., & Indonesia, U. P. (2021). Analysis of students ’ errors in solving word problems viewed from mathematical resilience. 5(1), 246–253. https://doi.org/10.31764/jtam.v5i1.3928
  13. Juanti, S., Karolina, R., & Zanthy, L. S. (2021). Analisis kesulitan dalam menyelesaikan soal geometri pokok bahasan bangun ruang sisi datar. Jurnal Pendidikan Matematika Inovatif, 4(2), 239–248. https://doi.org/10.22460/jpmi.v4i2.239-248
  14. Kolar, V. M., & Hodnik, T. (2021). Mathematical literacy from the perspective of solving contextual problems. European Journal of Educational Research, 10(1), 467–483. https://doi.org/10.12973/EU-JER.10.1.467
  15. Kurniawati, L., & Amir, M. F. (2022). Development of learning trajectory of perimeter and area of squares and rectangles through various tasks. Premiere Educandum : Jurnal Pendidikan Dasar Dan Pembelajaran, 12(1), 54. https://doi.org/10.25273/pe.v12i1.12121
  16. Lestari, A. S., Aripin, U., & Hendriana, H. (2018). Identifikasi kesalahan siswa SMP dalam menyelesaikan soal kemampuan penalaran matematik pada materi bangun ruang sisi datar dengan analisis kesalahan newman. JPMI (Jurnal Pembelajaran Matematika Inovatif), 1(4), 493. https://doi.org/10.22460/jpmi.v1i4.p493-504
  17. Lestariningsih, L., Nurhayati, E., Susilo, T. A. B., Cicinidia, C., & Lutfianto, M. (2020). Development of mathematical literacy problems to empower students’ representation. Journal of Physics: Conference Series, 1464(1). https://doi.org/10.1088/1742-6596/1464/1/012018
  18. Malihatuddarojah, D., Charitas, R., & Prahmana, I. (2019). Analisis kesalahan siswa dalam menyelesaikan permasalahan operasi bentuk aljabar. Jurnal Pendidikan Matematika, 13(1), 1–8. http://dx.doi.org/10.22342/jpm.13.1.6668.1-8
  19. Miles, M. B., Huberman, A. M., & Saldana, J. (2014). Qualitative data analysis: A methods sourcebook (third edit). https://uk.sagepub.com/en-gb/asi/qualitative-data-analysis/book246128
  20. Nuryati, N., Purwaningsih, S. S., & Habinuddin, E. (2022). Analysis of errors in solving mathematical literacy analysis problems using newman. International Journal of Trends in Mathematics Education Research, 5(3), 299–305. https://doi.org/10.33122/ijtmer.v5i3.164
  21. Oktafia, M., Putra, A., & Habibi, M. (2020). The analysis of students’ error in operation reseach test for linear program topic based on newman’s error analysis (NEA). Edumatika : Jurnal Riset Pendidikan Matematika, 3(2), 103. https://doi.org/10.32939/ejrpm.v3i2.591
  22. Pielsticker, F., Pielsticker, C., & Witzke, I. (2022). Zeitschrift für (Fach)didaktik in forschung und unterricht der pädagogischen hochschule steiermark.
  23. Sari, P. D., Saputra, S., Ardywinata, A. A., Sukmawati, R. A., & Fadhillah, M. N. (2023). Students’ errors and misconceptions in solving fundamental mathematics problem. Jurnal Pendidikan Matematika, 17(3), 313–324. https://doi.org/10.22342/jpm.17.3.21128.313-324
  24. Prasetyaningrum, H. D., Amir, M. F., & Wardana, M. D. K. (2022). Elementary school students’ errors in solving word problems based on newman error analysis. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 11(3), 1701. https://doi.org/10.24127/ajpm.v11i3.5576
  25. Pratama, A. R., Saputro, D. R. S., & Riyadi, R. (2018). Problem solving of student with visual impairment related to mathematical literacy problem. Journal of Physics: Conference Series, 1008(1), 0–10. https://doi.org/10.1088/1742-6596/1008/1/012068
  26. Ratnaningsih, N., Hidayat, E., & Lestari, P. (2022). Mathematical literacy and newman’s error: an analysis in terms of high and low levels of mathematical resilience. AIP Conference Proceedings, 2566(November). https://doi.org/10.1063/5.0117126
  27. Rizki, L. M., & Priatna, N. (2019). Mathematical literacy as the 21st century skill. Journal of Physics: Conference Series, 1157(4). https://doi.org/10.1088/1742-6596/1157/4/042088
  28. Runtu, P. V. J., Pulukadang, R. J., Mangelep, N. O., Sulistyaningsih, M., & Sambuaga, O. T. (2023). Student’s mathematical literacy: A study from the perspective of ethnomathematics context in north sulawesi indonesia. Journal of Higher Education Theory and Practice, 23(3), 57–65. https://doi.org/10.33423/jhetp.v23i3.5840
  29. Schukajlow, S., Blomberg, J., Rellensmann, J., & Leopold, C. (2022). The role of strategy-based motivation in mathematical problem solving: The case of learner-generated drawings. Learning and Instruction, 80(November 2021), 101561. https://doi.org/10.1016/j.learninstruc.2021.101561
  30. Stevenson, K. T., Carrier, S. J., & Peterson, M. N. (2014). Evaluating strategies for inclusion of environmental literacy in the elementary school classroom. Electronic Journal of Science Education, 18(8). https://eric.ed.gov/?id=EJ1188301
  31. Sukoriyanto. (2020). Students’ errors analysis in solving the geometry word problem based on newman stage. AIP Conference Proceedings, 2215(April). https://doi.org/10.1063/5.0000490
  32. Susanta, A., Sumardi, H., Susanto, E., & Retnawati, H. (2023). Mathematics literacy task on number pattern using bengkulu context for junior high school students. Journal on Mathematics Education, 14(1), 85–102. https://doi.org/10.22342/jme.v14i1.pp85-102
  33. Ulger, T. K., Bozkurt, I., & Altun, M. (2022). Analyzing in-service teachers’ process of mathematical literacy problem posing. International Electronic Journal of Mathematics Education, 17(3), em0687. https://doi.org/10.29333/iejme/11985
  34. Ünal, Z. E., Ala, A. M., Kartal, G., Özel, S., & Geary, D. C. (2023). Visual and symbolic representations as components of algebraic reasoning. Journal of Numerical Cognition, 9(2), 327–345. https://doi.org/10.5964/jnc.11151
  35. Wardhani, T. A. W., & Argaswari, D. P. A. D. (2022). High school students’ error in solving word problem of trigonometry based on newman error hierarchical model. Infinity Journal, 11(1), 87–102. https://doi.org/10.22460/infinity.v11i1.p87-102
  36. White, A. L. (2009). A Revaluation of Newman’s Error Analysis. MAV Annual Conference 2009, 3(Year 7), 249–257. http://www.mav.vic.edu.au/files/conferences/2009/08White.pdf
  37. Wickstrom, M. H., Fulton, E. W., & Carlson, M. A. (2017). Pre-service elementary teachers’ strategies for tiling and relating area units. Journal of Mathematical Behavior, 48(June 2016), 112–136. https://doi.org/10.1016/j.jmathb.2017.05.004
  38. Yuliana, Y., Taufik, M., & Susanti, R. D. (2021). Analysis of story problems by applying the problem based learning based on newman’s error analysis. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 10(2), 990. https://doi.org/10.24127/ajpm.v10i2.3569

Similar Articles

<< < 2 3 4 5 6 7 8 9 10 > >> 

You may also start an advanced similarity search for this article.