Misinterpretasi Mahasiswa pada Representasi Histogram dan Box Plot

Intan Sari Rufiana
Wahyudi Wahyudi
Dwi Avita Nurhidayah

Abstract


Mathematical representation is the center of mathematics learning. However, is the student's ability to interpret the form of representation good? In this study, we adapted multiple choice questions from the LOCUS assessment to describe how 30 semesters III students interpreted the bar chart and box plot. The students answered this multiple choice question by including the reasons. The results showed that 50% of the 30 students gave correct responses regarding the boxplot. These fifteen students stated that the box plot cannot be used to calculate a lot of data. However, these 15 students were unable to come up with reasons why the box plot could not be used to calculate a lot of data. The remaining 50% of students stated that other diagrams such as scatter plots, histograms and bar charts cannot be used to calculate a lot of data, but box plots can be used to calculate the amount of data. As many as 40% of students are not able to distinguish a bar chart from a histogram. They assumed that qualitative data could be described using a histogram instead of a bar chart. The results of this study are explained by the dual-process theory.


Keywords


Representation, Diagrams, Dual-Process Theory

References


Bunawan, W., Setiawan, A., & Rusli, A. 2015. Penilaian Pemahaman Representasi Grafik Materi Optika Geometri Menggunakan Tes Diagnostik. Jurnal Cakrawala Pendidikan, 34(2): 257-267.

Delmas, R., Garfield, J., & Ooms, A. 2005. Using Assessment Items to Study Students’ Difficulty Reading and Interpreting Graphical Representations of Distributions. Proceedings of the Fourth International Research Forum on Statistical Reasoning, Literacy, and Reasoning (on CD). Auckland, New Zealand: University of Auckland.

Evans, J.St.B.T, & Over, D. E. 1996. Rationality and Reasoning. Hove: Psychology Press.

Evans, J.St.B.T. 2006. Dual System Theories of Cognition: Some Issues. Proceedings of the 28th Annual Meeting of the Cognitive Science Society, Vancouver, Canada, 202-207.

Evans, J. St. B. T. 2008. Dual-Processing Accounts of Reasoning, Judgement and Social Cognition. Annual Review of Psychology, 59: 255–278.

Hennink, M., Hutter, I., & Bailey, A. 2020. Qualitative Research Methods. SAGE Publications Limited.

Kahneman, D. 2000. A Psychological Point of View: Violations of Rational Rules as A Diagnostic of Mental Processes. Behavioral and Brain Sciences, 23: 681– 683.

Lem, S., Onghena, P., Verschaffel, L dan Dooren, W. V. 2013. On The Misinterpretation of Histogram and Box Plots Educational Psychology. International Journal of Experimental Educational Psychology, 33(2): 155-174.

Nisa, S., Zulkardi, & Susanti, E. 2019. Kemampuan Penalaran Statistis Siswa Pada Materi Penyajian Data Histogram melalui Pembelajaran PMRI. Jurnal Pendidikan Matematika, 13(1): 21-40.

Rangkuti, A. N. 2013. Representasi Matematis. Logaritma. Jurnal Ilmu-ilmu Pendidikan dan Sains, 1(2): 49-61.

Rufiana, I. S. 2019. Representasi Grafik Sebagai Alat Penalaran Statistis. Prosiding Seminar Nasional Pendidikan dan Pembelajarannya 2019 FKIP Universitas Muhammadiyah Ponorogo, 378-385.

Sabirin, M. 2014. Representasi dalam Pembelajaran Matematika. Jurnal Pendidikan Matematika, 1(2): 33-44.

Sri, I., & Indriati, H. S. 2019. Representasi Mahasiswa Berkemampuan Matematika Tinggi dalam Memecahkan Masalah Program Linier. Jurnal Inovasi, 18(1): 80- 86.

Syafri, F. S. 2017. Kemampuan Representasi Matematis dan Kemampuan Pembuktian Matematika. JURNAL e-DuMath, 3(1): 49-55.

Turmudi & Harini, S. 2008. Metode Statistika. Malang: UIN-Malang Press.

Tversky, B. 1997. Cognitive Principles of Graphic Displays. In Proceedings of The AAAI 1997 Fall Symposium on Reasoning with Diagrammatic Representations, 116– 124.

Wahab, R. 2014. Metodologi Penelitian Kualitatif. http://staffnew.uny.ac.id




DOI: https://doi.org/10.24176/anargya.v3i2.5324

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