Analyzing Students’ Error in Problem Solving of Two-Variable Linear Equation System: A Case Study of Grade Eight Students of Indonesian Junior High School

Tri Santoso, Hendri Lutfiatul Hamam Nafis, M. Yoga Oktama

Abstract


This research aims at describing errors as well as knowing the factors causing students to make an error in solving problems in the material of the Two-Variable Linear Equation System (SPLDV). Thisresearch involved 31 students from grade eight students of Indonesian junior high school. To collect the data, tests, observation, and interview methods were used. Thedata validity was triangulation in which it required a comparisonof data with interviews. The technique of data analysis was in three stages, starting from data reduction, data presentation, and conclusion. The analytical framework was developed based on the Newman error category. The results obtained are three types of errors, namely error understanding problems, transformation errors, and process skills errors. Factors causing these errors, in general, are students who find difficulties to acknowledge the meaning of the questions, students have a low level of understanding and creativity in identifying problems into mathematical models, and students' carelessness in process skills.

https://doi.org/10.26803/ijlter.18.11.17


Keywords


Students’ Error; Mathematics Education; Two-Variable Linear Equation System

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References


Galindo, C., Sonnenschein, S., & Montoya-Ãvila, A. (2019). Latina mothers’ engagement in children’s maths learning in the early school years: Conceptions of math and socialization practices. Early Childhood Research Quarterly, 47, 271-283. https://doi.org/10.1016/j.ecresq.2018.11.007.

Goldin-Meadow, S., Shield, A., Lenzen, D., Herzig, M., & Padden, C. (2012). The gestures ASL signers use tell us when they are ready to learn math. Cognition, 123(3), 448-453. https://doi.org/10.1016/j.cognition.2012.02.006.

Hornburg, C. B., Schmitt, S. A., & Purpura, D. J. (2018). Relations between preschoolers’ mathematical language understanding and specific numeracy skills. Journal of experimental child psychology, 176, 84-100. https://doi.org/10.1016/j.jecp.2018.07.005.

Huberman, M., & Miles, M. B. (2002). The qualitative researcher's companion. Sage.

Jha, S. K. (2012). Mathematics Performance of Primary School Students in Assam (India): An Analysis Using Newman Procedure. International Journal of Computer Applications Engineering Sciences, 2(1), 17-21.

Koponen, T., Aunola, K., & Nurmi, J. E. (2019). Verbal counting skill predicts later math performance and difficulties in middle school. Contemporary Educational Psychology, 59, 101803. https://doi.org/10.1016/j.cedpsych.2019.101803.

Kurniasari, Ika. (2007). Error Analysis of Class VIII Students of SMP Negeri 16 Surabaya in Solving Problems of Two-Variable Nonlinear Equation Systems. Thesis. Surabaya: Unisa.

Liu, J., Li, J., Peng, W., Feng, M., & Luo, Y. (2019). EEG correlates of math anxiety during arithmetic problem solving: Implication for attention deficits. Neuroscience letters, 703, 191-197. https://doi.org/10.1016/j.neulet.2019.03.047.

Maher, C. A., Sigley, R., Sullivan, P., & Wilkinson, L. C. (2018). An international perspective on knowledge in teaching mathematics. The Journal of Mathematical Behavior, 51, 71-79. https://doi.org/10.1016/j.jmathb.2018.05.002.

Moleong, L. J. (2007). Metodologi Penelitian Kualitatif [Qualitative Research Methodology]. Bandung: Rosdakarya.

Ng, J., Lee, K., & Khng, K. H. (2017). Irrelevant information in math problems need not be inhibited: Students might need to spot them. Learning and Individual Differences, 60, 46-55. https://doi.org/10.1016/j.lindif.2017.09.008.

Nordin, A. K., & Boistrup, L. B. (2018). A framework for identifying mathematical arguments as supported claims created in day-to-day classroom interactions. The Journal of Mathematical Behavior, 51, 15-27. https://doi.org/10.1016/j.jmathb.2018.06.005.

Prast, E. J., Van de Weijer-Bergsma, E., MioÄević, M., Kroesbergen, E. H., & Van Luit, J. E. (2018). Relations between mathematics achievement and motivation in students of diverse achievement levels. Contemporary Educational Psychology, 55, 84-96. https://doi.org/10.1016/j.cedpsych.2018.08.002.

Ramirez, G., Chang, H., Maloney, E. A., Levine, S. C., & Beilock, S. L. (2016). On the relationship between math anxiety and math achievement in early elementary school: The role of problem-solving strategies. Journal of experimental child psychology, 141, 83-100. https://doi.org/10.1016/j.jecp.2015.07.014.

Silinskas, G., & Kikas, E. (2019). Math Homework: Parental Help and Children’s Academic Outcomes. Contemporary Educational Psychology, 101784. https://doi.org/10.1016/j.cedpsych.2019.101784.

Singh, P., Rahman, A. A., & Sian Hoon, T. (2010). The Newman Procedure for Analyzing Primary Four Pupils Errors on Written Mathematical Task: A Malaysian Perspective. Procedia on International Conference on Mathematics Education Research 2010 (ICMER 2010), 10(8), 264-271.

Soedjadi, R. (2011). To be good at mathematics Education. Jakarta: Directorate of General Higher Education Ministry of National Education.

Swanson, H. L. (2016). Word problem solving, working memory, and severe math difficulties: Do cognitive strategies make a difference?. Journal of Applied Research in Memory and Cognition, 5(4), 368-383. https://doi.org/10.1016/j.jarmac.2016.04.012.

Swanson, H. L., Kong, J. E., & Petcu, S. D. (2019). Individual differences in math problem solving and executive processing among emerging bilingual children. Journal of experimental child psychology, 187, 104653. https://doi.org/10.1016/j.jecp.2019.06.006.

Wasserman, N. H. (2018). Knowledge of nonlocal mathematics for teaching. The Journal of Mathematical Behavior, 49, 116-128. https://doi.org/10.1016/j.jmathb.2017.11.003.

Zhang, X., Hu, B. Y., Ren, L., & Fan, X. (2018). Sources of individual differences in young Chinese children's reading and mathematics skills: A longitudinal study. Journal of school psychology, 71, 122-137. https://doi.org/10.1016/j.jsp.2018.10.008.


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