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
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References
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- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- Pielsticker, F., Pielsticker, C., & Witzke, I. (2022). Zeitschrift für (Fach)didaktik in forschung und unterricht der pädagogischen hochschule steiermark.
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
References
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
Pielsticker, F., Pielsticker, C., & Witzke, I. (2022). Zeitschrift für (Fach)didaktik in forschung und unterricht der pädagogischen hochschule steiermark.
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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