Factor Analysis of Students' Difficulties Understanding the Concept of Logarithms at SMA Negeri 2 Percontohan Karang Baru Aceh Tamiang
Abstract
This research aims to determine the factors that cause students' difficulties in understanding the concept of logarithms using the factor analysis method. The samples taken were 120 class X students of SMA N 2 Percontohan Karang Baru Aceh Tamiang. Data was obtained using diagnostic test instruments for logarithmic material based on aspects of logarithms as objects, as processes, as functions, and in contextual problems. From these four aspects, Author 2 was able to identify 20 variables that caused students difficulty in understanding the concept of logarithms. The research results show that there are three factors that cause students' difficulties in understanding the concept of logarithms. These factors are: (a) logarithmic expressions (b) logarithmic functions, and (c) logarithmic calculations. The logarithmic expression factor is the dominant factor which has an eigenvalue of 10.282 which is able to explain a variance value of 54.115%.
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Aaron, K. (1997). Just what is a logarithm, Anyway? Diambil kembali dari from http://pumas.nasa.gov/files/06_01_97_1.pdf
Ansah, I., & Vos, P. (2016). Improving Understanding Of Logarithms By Using The Approach Of Repeated Division. Norwegia: University of Agder.
Azad, K. (2012). Using Logarithms in the Real World. Diambil kembali dari https://betterexplained.com/articles/using-logs-in-the-real-world/
Berezovski, T. (2006). Conference Papers–Psychology of Mathematics & Education of North America (hal. 62-64). Mérida, Yucatán, México : Universidad Pedagógica Nacional .
Berezovski, T., & Zazkis, R. (2006). Proceedings of the 30th Conference of the International Group for the Psychology of Mathematics Education (hal. 145). Prague: Charles University in Prague.
Dintarini, M. (2018). Understanding Logarithm: What are the Difficulties That Students Have? Proceedings of the 5th International Conference on Community Development (AMCA 2018). 231, hal. 239-241. Quezon City: Atlantis Press.
Gamble, M. (2005). Sharing Teaching Ideas: Teaching Logarithms Day One. The Mathematics Teacher, 66-67. doi:10.5951/MT.99.1.0066
Ganesan, R., & Dindyal, J. (2014). An investigation of students’ errors in logarithms. Sydney: Mathematics Education Research Group of Australasia (MERGA).
Hair, J. F., Black, W. C., Babin, B. J., & Anderson, R. E. (2010). Multivariate Data Analysis. New York: Pearson.
Hayati, I. N., & Budiyono, B. (2018). Analisis Kesulitan Siswa SMA Negeri 1 Kedungwuni Pada Materi Logaritma. Journal of Mathematics and Mathematics Education, 115-124.
Hoon, T. S., Singh, P., & Ayop, S. K. (2010). Working with Logarithms. Malaysian Education Dean’s Council Journal, 6(6), 121-129.
Hurwitz, M. (1999). Sharing Teaching Ideas: We Have Liftoff! Introducing the Logarithmic Function. The Mathematics Teacher, 344-345. doi:10.5951/MT.92.4.0344
Johnson, R. A., & Wichern, D. W. (2007). Applied Multivariate Statistical Analysis. Diambil kembali dari https://www.webpages.uidaho.edu/~stevel/519/Applied%20Multivariate%20Statistical%20Analysis%20by%20Johnson%20and%20Wichern.pdf
Kastberg, S. E. (2002). Understanding Mathematical Concepts: The Case of The Logarithmic Function. Athens: University of Georgia.
Kinsella, S. (2007). Logarithms: A Tutorial. Diambil kembali dari http://stephenkinsella.net/WordPress/wp-content/uploads/2007/03/SimpleLogsSimpleDocsV0.4.pdf
Liang, C. B., & Wood, E. (2005). Working with logarithms: Students' Misconceptions and Errors. The Mathematics Educator, 53-70.
Pujiadi. (2016). Guru Pembelajar (Modul Matematika SMA). Yogyakarta: Direktorat Jenderal Guru dan Tenaga Kependidikan. Diambil kembali dari https://repositori.kemdikbud.go.id/
Rafi, I., & Retnawati, H. (2018). What Are The Common Errors Made By Students in Solving Logarithm Problems? Journal of Physics: Conference Series. 1097, hal. 012157. IOP Publishing. doi:10.1088/1742-6596/1097/1/012157
Sinaga, B., Sinambela, P. N., Sitanggang, A. K., Hutapea, T. A., Sinaga, L. P., Manullang, S., . . . Bayuzetra, Y. T. (2014). Buku Guru Matematika. Jakarta: Kementerian Pendidikan dan Kebudayaan.
Sugiyono. (2008). Statistika Untuk Penelitian. Bandung: Alfabeta.
Tabaghi, S. G. (2007). APOS analysis of students' understanding of logarithms. Canada: Concordia University.
Weber, C. (2016). Zugänge zum Logarithmus – Operationale und strukturelle Grundvorstellungen zum Logarithmus. Journal fur Mathematik-Didaktik, 69-98. doi:10.1007/s13138-016-0104-6
Williams, H. R. (2011). A Conceptual Framework for Student Understanding of Logarithms. Provo: Brigham Young University.
Wong, N. Y., Lam, C. C., Wong, K. M., Leung, F. K., & Mok, I. A. (2002). How do Hong Kong Students Think About The Mathematics Curriculum And Teaching. EduMath, 2-16.
Yen, R. (1999). Reflections on higher school certificate examinations: Learning from their mistakes. Reflections, 3-8.
DOI: https://doi.org/10.24952/logaritma.v11i02.8822
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