Students Error Analysis In Exponential And Logarithmic Equations

Tri Astuti Arigiyati, Welly Yumarsa, Eka Wahyuni Novianti, Betty Kusumaningrum

Abstract


Mathematics is one of the basic concepts needed by students at every level of education. However, students often have difficulty in understanding mathematics. This can be seen from the mistakes made when working on math problems. Errors made by students must be addressed immediately so that no more errors occur, especially on questions that have the same characteristics. The purpose of this study was to determine the percentage of conceptual errors, arithmetical errors, writing errors and the most common mistakes made by students on the subject of exponential and logarithmic equations. Sampling was done by using purposive random sampling technique. The data in this qualitative descriptive study were collected using test, interview, and documentation techniques. The instrument used to collect data was in the form of test questions and interview guide sheets. The data were analyzed by categorizing the types of errors into conceptual errors, arithmetic errors, and writing errors and then calculating the percentage of errors in each category. The results showed that the errors made by students in each category were conceptual errors of 53%, arithmetical errors of 34.78% and writing errors of 28.99%. The error that many students make is a conceptual error as much as 53% with a moderate error percentage category.


Keywords


Error analysis; Mathematics; Exponential and logarithmic equations

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References


Adger, W. N., Huq, S., Brown, K., Conway, D., & Hulme, M. (2003). Adaptation to climate change in the developing world. Progress in Development Studies, 3(3), 179–195.

Ali, M. M., Mustapha, R., & Jelas, Z. M. (2006). An Empirical Study on Teachers’ Perceptions towards Inclusive Education in Malaysia. International Journal of Special Education, 21(3), 36–44.

Aliyyah, R. R., Rachmadtullah, R., Samsudin, A., Syaodih, E., Nurtanto, M., & Tambunan, A. R. S. (2020). The perceptions of primary school teachers of online learning during the COVID-19 pandemic period: A case study in Indonesia. Journal of Ethnic and Cultural Studies, 7(2), 90–109.

Arigiyati, T. A., Kusumaningrum, B., & Kuncoro, K. S. (2021). Menumuhkan Motivasi Belajar Matematika pada Anak. Prosiding Seminar Nasional Hasil Pengabdian Kepada Masyarakat, 183–188.

Arseven, A. (2015). Mathematical Modelling Approach in Mathematics Education. Universal Journal of Educational Research, 3(12), 973–980.

Bottge, B. A., Rueda, E., LaRoque, P. T., Serlin, R. C., & Kwon, J. (2007). Integrating reform‐oriented math instruction in special education settings. Learning Disabilities Research & Practice, 22(2), 96–109.

Brunt, J. J. (2015). The effects of teaching perseverance on student independence in mathematical problem solving.

Bryk, A. S., Gomez, L. M., Grunow, A., & LeMahieu, P. G. (2015). Learning to improve: How America’s schools can get better at getting better. Harvard Education Press.

Chiu, M. M. (2004). Adapting teacher interventions to student needs during cooperative learning: How to improve student problem solving and time on-task. American Educational Research Journal, 41(2), 365–399.

Copur-Gencturk, Y. (2021). Teachers’ conceptual understanding of fraction operations: results from a national sample of elementary school teachers. Educational Studies in Mathematics, 107(3), 525–545. https://doi.org/10.1007/s10649-021-10033-4

Decristan, J., Fauth, B., Kunter, M., Büttner, G., & Klieme, E. (2017). The interplay between class heterogeneity and teaching quality in primary school. International Journal of Educational Research, 86(September), 109–121. https://doi.org/10.1016/j.ijer.2017.09.004

Driscoll, M. P., & Burner, K. J. (2005). Psychology of learning for instruction.

Ernest, P., Skovsmose, O., Van Bendegem, J. P., Bicudo, M., Miarka, R., Kvasz, L., & Moeller, R. (2016). The philosophy of mathematics education. Springer Nature.

Gareis, C. R., & Grant, L. W. (2014). The efficacy of training cooperating teachers. Teaching and Teacher Education, 39, 77–88. https://doi.org/10.1016/j.tate.2013.12.007

Gifford, R. (2011). The dragons of inaction: psychological barriers that limit climate change mitigation and adaptation. American Psychologist, 66(4), 290.

Gopnik, A., & Meltzoff, A. N. (2021). Early semantic developments and their relationship to object permanence, means-ends understanding, and categorization. In Children’s language (pp. 191–212). Psychology Press.

Hamzah, A., & Muhlisrarini, M. (2014). Perencanan dan Strategi Pembelajaran Matematika. Raja Grafindo Persada.

Irfan, M. (2017). Analisis Kesalahan Siswa dalam Pemecahan Masalah Berdasarkan Kecemasan Belajar Matematika. Kreano, Jurnal Matematika Kreatif-Inovatif, 8(2), 143–149. https://doi.org/http://dx.doi.org/10.15294/kreano.v8i2.8779

Irfan, M., Sa’dijah, C., Ishartono, N., Widodo, S. A., Rahman, A. A., & Hudha, M. N. (2019). Interference in Solving Mathematical Problems. ICSTI 2018, October 19-20, Yogyakarta, Indonesia, 1–10. https://doi.org/10.4108/eai.19-10-2018.2281319

Jasak, H. (1996). Error analysis and estimation for the finite volume method with applications to fluid flows.

Katon, K. S., & Arigiyati, T. A. (2018). Analisis Kesalahan Siswa Menurut Polya Materi Persamaan dan Pertidaksamaan Linear Satu Variabel. Prosiding Seminar Nasional Pendidikan Matematika Etnomatnesia, 576–580.

Kingsdorf, S., & Krawec, J. (2014). Error analysis of mathematical word problem solving across students with and without learning disabilities. Learning Disabilities Research & Practice, 29(2), 66–74.

Klein, J. (2015). Call now or later? The waiting game in decision-making. International Journal of Educational Research, 74, 38–48. https://doi.org/10.1016/j.ijer.2015.09.008

Kusumaningrum, B., Irfan, M., & Wijayanto, Z. (2020). Errors Analysis of Students in Solving Volume of the Solid of Revolution Problem in Term of Critical Thinking Aspects. Kalamatika: Jurnal Pendidikan Matematika, 5(2), 119–132.

Kusumaningrum, B., Kuncoro, K. S., Sulistyowati, F., & Arigiyati, T. A. (2021). Meningkatkan Minat Belajar Daring Selama Masa Pandemi Covid-19. Seminar Nasional Hasil Pengabdian Kepada Masyarakat, 206–211.

Moleong, L. J. (2004). Metodologi Penelitian Kualitatif. Remaja Rosda Karya.

Ni’mah, D. R. (2010). Analisis kesalahan siswa dalam menyelesaikan soal matematika pokok bahasan persamaan garis lurus. Universitas Negeri Malang.

Niemi, D. (1996). Assessing conceptual understanding in mathematics: Representations, problem solutions, justifications, and explanations. The Journal of Educational Research, 89(6), 351–363.

O’Brien, R., Pan, X., Courville, T., Bray, M. A., Breaux, K., Avitia, M., & Choi, D. (2017). Exploratory factor analysis of reading, spelling, and math errors. Journal of Psychoeducational Assessment, 35(1–2), 7–23.

Purnomo, Y. W., Kowiyah, Alyani, F., & Assiti, S. S. (2014). Assessing number sense performance of Indonesian elementary school students. International Education Studies, 7(8), 74–84. https://doi.org/10.5539/ies.v7n8p74

Sáenz, C. (2009). The role of contextual, conceptual and procedural knowledge in activating mathematical competencies (PISA). Educational Studies in Mathematics, 71(2), 123–143.

Sammons, P. (1995). Key characteristics of effective schools: A review of school effectiveness research. ERIC.

Suherman, E. (2008). Model Belajar Dan Pembelajaran Berorientasi Kompetensi Siswa. Jurnal Pendidikan Dan Budaya, 5(2), 1–31.

Van der Kleij, F. M., Eggen, T. J. H. M., & Engelen, R. J. H. (2014). Towards valid score reports in the Computer Program LOVS: A redesign study. Studies in Educational Evaluation, 43, 24–39. https://doi.org/10.1016/j.stueduc.2014.04.004

Widodo, S. A. (2014). Kesalahan dalam Pemecahan Masalah Divergensi pada Mahasiswa Matematika. AdMathEdu: Jurnal Ilmiah Pendidikan Matematika, Ilmu Matematika Dan Matematika Terapan, 4(1).

ZHANG Wen-bin. (2013). The Most Important Thing is the Education through Culture. Journal of Shaanxi Institute of Technology.




DOI: https://doi.org/10.18326/hipotenusa.v3i2.6312

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