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Abstract
Algebra is a very important subject in mathematics learning. Therefore, students especially at seventh-grade must be able to understand this concept well. This study aims to explore information and describe students’ errors in solving algebraic problems. The research method in this study uses qualitative descriptive. The subjects of this study were 36 seventh-grade students of SMP Muhammadiyah Kalasan. The instrument in this study is a test consisting of 10 questions about the operation of algebraic forms. The results showed that students still made some mistakes in solving algebraic problems, such as errors in the variable, errors in negative signs, errors in completing the form of algebraic equations, errors in the operation of the algebraic form, and errors in solving fractions.
DOI : 10.22342/jpm.13.1.6668.1-8
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References
- Astuti & Sari, N. (2018). Analisis kesulitan belajar struktur aljabar di STKIP Pahlawan Tuanku Tambusai. Jurnal Pendidikan Matematika, 12(2), 73-80.
- Badaruddin, D. P., Tengah, K. A., & Prahmana, R. C. I. (2018). Enhancing manipulation of algebraic equation through Balance Method. Journal of Physics: Conference Series, 1088(1), 012007.
- Booth, J. L., & Koedinger, K. R. (2008). Key misconceptions in algebraic problem solving. Proceedings of the Annual Meeting of the Cognitive Science Society, 30(30), 571-576.
- Booth, J. L., Barbieri, C., Eyer, F., & Paré-Blagoev, E. J. (2014). Persistent and pernicious errors in algebraic problem solving. The Journal of Problem Solving, 7(1), 10-23.
- Booth, J. L., Lange, K. E., Koedinger, K. R., & Newton, K. J. (2013). Using example problems to improve student learning in algebra: Differentiating between correct and incorrect examples. Learning and Instruction, 25, 24-34.
- Chesney, D. L., & McNeil, N. M. (2014). Activation of operational thinking during arithmetic practice hinders learning and transfer. The Journal of Problem Solving, 7(1), 24-35.
- Drijvers, P. (2011). Secondary algebra education. Rotterdam: Sense Publishers.
- Jupri, A., Drijvers, P., & van den Heuvel-Panhuizen, M. (2014). Difficulties in initial algebra learning in Indonesia. Mathematics Education Research Journal, 26(4), 683-710.
- Lange, K. E., Booth, J. L., & Newton, K. J. (2014). Learning algebra from worked examples. MatheMatics teacher, 107(7), 534-540.
- Ling, G. C. L., Shahrill, M., & Tan, A. (2016). Common misconceptions of algebraic problems: Identifying trends and proposing possible remedial measures. Advanced Science Letters, 22(5- 6), 1547-1550.
- Makonye, J. P., & Stepwell, N. (2016). Eliciting learner errors and misconceptions in simplifying rational algebraic expressions to improve teaching and learning. International Journal of Educational Sciences, 12(1), 16-28.
- Mulungye, M. M., O'Connor, M., & Ndethiu, S. (2016). Sources of student errors and misconceptions in algebra and effectiveness of classroom practice remediation in Machakos County-- Kenya. Journal of Education and Practice, 7(10), 31-33.
- Naseer, M. S. (2015). Analysis of Students’ Errors and Misconceptions in pre-University Mathematics Courses. In Proceedings: First International Conference on Teaching & Learning (pp. 34-39).
- Nasir, N. M., Hashim, Y., Ahmad Zabidi, S. F., & Jusoh, R. (2013). Preliminary study of student performance on algebraic concepts and differentiation. World Applied Sciences Journal, 21(Special Issue of Applied Math), 162-167.
- O'Brien, A., & Ní Ríordáin, M. (2017). Examining difficulties in initial algebra: Pre-requisite and algebra content areas for Irish post-primary students. In 10th Congress of European Research in Mathematics Education. European Society for Research in Mathematics Education.
- Ojose, B. (2011). Mathematics literacy: Are we able to put the mathematics we learn into everyday use. Journal of Mathematics Education, 4(1), 89-100.
- Saputro, B. A., Suryadi, D., Rosjanuardi, R., & Kartasasmita, B. G. (2018). Analysis of students’ errors in responding to TIMSS domain algebra problem. Journal of Physics: Conference Series, 1088(1), 012031.
- Star, J. R., Caronongan, P., Foegen, A., Furgeson, J., Keating, B., Larson, M. R., Lyskawa, J., McCallum, W. G., Porath, J., & Zbiek, R. M. (2015). Teaching strategies for improving algebra knowledge in middle and high school students (NCEE 2014-4333). Washington, DC: National Center for Education Evaluation and Regional Assistance (NCEE), Institute of Education Sciences, U.S. Department of Education.
- Widodo, S. A., Prahmana, R. C. I., & Purnami, A. S. (2017). Teaching materials of algebraic equation. Journal of Physics: Conference Series, 943(1), 012017.
- Zubainur, C. M., & Ali, R. M. (2018). Cognitive conflict strategy to minimize students’ misconception on the topic of addition of algebraic expression. Journal of Physics: Conference Series, 1088(1), 012084.
References
Astuti & Sari, N. (2018). Analisis kesulitan belajar struktur aljabar di STKIP Pahlawan Tuanku Tambusai. Jurnal Pendidikan Matematika, 12(2), 73-80.
Badaruddin, D. P., Tengah, K. A., & Prahmana, R. C. I. (2018). Enhancing manipulation of algebraic equation through Balance Method. Journal of Physics: Conference Series, 1088(1), 012007.
Booth, J. L., & Koedinger, K. R. (2008). Key misconceptions in algebraic problem solving. Proceedings of the Annual Meeting of the Cognitive Science Society, 30(30), 571-576.
Booth, J. L., Barbieri, C., Eyer, F., & Paré-Blagoev, E. J. (2014). Persistent and pernicious errors in algebraic problem solving. The Journal of Problem Solving, 7(1), 10-23.
Booth, J. L., Lange, K. E., Koedinger, K. R., & Newton, K. J. (2013). Using example problems to improve student learning in algebra: Differentiating between correct and incorrect examples. Learning and Instruction, 25, 24-34.
Chesney, D. L., & McNeil, N. M. (2014). Activation of operational thinking during arithmetic practice hinders learning and transfer. The Journal of Problem Solving, 7(1), 24-35.
Drijvers, P. (2011). Secondary algebra education. Rotterdam: Sense Publishers.
Jupri, A., Drijvers, P., & van den Heuvel-Panhuizen, M. (2014). Difficulties in initial algebra learning in Indonesia. Mathematics Education Research Journal, 26(4), 683-710.
Lange, K. E., Booth, J. L., & Newton, K. J. (2014). Learning algebra from worked examples. MatheMatics teacher, 107(7), 534-540.
Ling, G. C. L., Shahrill, M., & Tan, A. (2016). Common misconceptions of algebraic problems: Identifying trends and proposing possible remedial measures. Advanced Science Letters, 22(5- 6), 1547-1550.
Makonye, J. P., & Stepwell, N. (2016). Eliciting learner errors and misconceptions in simplifying rational algebraic expressions to improve teaching and learning. International Journal of Educational Sciences, 12(1), 16-28.
Mulungye, M. M., O'Connor, M., & Ndethiu, S. (2016). Sources of student errors and misconceptions in algebra and effectiveness of classroom practice remediation in Machakos County-- Kenya. Journal of Education and Practice, 7(10), 31-33.
Naseer, M. S. (2015). Analysis of Students’ Errors and Misconceptions in pre-University Mathematics Courses. In Proceedings: First International Conference on Teaching & Learning (pp. 34-39).
Nasir, N. M., Hashim, Y., Ahmad Zabidi, S. F., & Jusoh, R. (2013). Preliminary study of student performance on algebraic concepts and differentiation. World Applied Sciences Journal, 21(Special Issue of Applied Math), 162-167.
O'Brien, A., & Ní Ríordáin, M. (2017). Examining difficulties in initial algebra: Pre-requisite and algebra content areas for Irish post-primary students. In 10th Congress of European Research in Mathematics Education. European Society for Research in Mathematics Education.
Ojose, B. (2011). Mathematics literacy: Are we able to put the mathematics we learn into everyday use. Journal of Mathematics Education, 4(1), 89-100.
Saputro, B. A., Suryadi, D., Rosjanuardi, R., & Kartasasmita, B. G. (2018). Analysis of students’ errors in responding to TIMSS domain algebra problem. Journal of Physics: Conference Series, 1088(1), 012031.
Star, J. R., Caronongan, P., Foegen, A., Furgeson, J., Keating, B., Larson, M. R., Lyskawa, J., McCallum, W. G., Porath, J., & Zbiek, R. M. (2015). Teaching strategies for improving algebra knowledge in middle and high school students (NCEE 2014-4333). Washington, DC: National Center for Education Evaluation and Regional Assistance (NCEE), Institute of Education Sciences, U.S. Department of Education.
Widodo, S. A., Prahmana, R. C. I., & Purnami, A. S. (2017). Teaching materials of algebraic equation. Journal of Physics: Conference Series, 943(1), 012017.
Zubainur, C. M., & Ali, R. M. (2018). Cognitive conflict strategy to minimize students’ misconception on the topic of addition of algebraic expression. Journal of Physics: Conference Series, 1088(1), 012084.