Pemahaman Konsep Logaritma Siswa SMA Ditinjau dari Kemampuan Matematika

Yanuar Hery Murtianto; Muhtarom Muhtarom; Eka Devi Setiyaningrum

doi:10.26877/mpp.v13i1.5087

Pemahaman Konsep Logaritma Siswa SMA Ditinjau dari Kemampuan Matematika

Yanuar Hery Murtianto, Muhtarom Muhtarom, Eka Devi Setiyaningrum

Abstract

This Understanding the concept is the ability of students to understand a mathematical meaning both in theory and its application in solving problems based on the formation of their own knowledge, not just memorizing. The purpose of this study was to analyze the understanding of students' concepts in the material logarithm class x in terms of mathematical abilities. This research is descriptive qualitative research conducted at SMK N 5 Semarang, with research subjects in class X TP 1. To be able to know the understanding of concepts in students it is done by giving a test that includes seven indicators of mathematical abilities namely understanding, solving problems, connections, communication, reasoning, critical thinking, and creative thinking. The stages carried out consisted of three phases, namely: giving a test of mathematical ability, giving a concept understanding test, and interviewing. From the results of the study using triangulation methods, namely by comparing the results of tests of mathematical understanding in writing with the interview test. The results of qualitative analysis show that: (1) students with TKA mathematical abilities can understand the concept by defining logarithms using writing and symbols, can mention and apply logarithmic properties, can transform logarization forms into exponent forms, can compare examples and not logarithmic examples. (2) students with mathematical skills TKC mathematical abilities can understand the concept by defining logarithms with writing and symbols, changing the shape of logarithms to exponent forms, can only apply logarithmic properties to addition and subtraction, can only compare examples and not just 2. logarithms. (4) students with TKE mathematical abilities can understand the concept by defining logarithms using symbols, can only apply the logarithmic properties of addition and subtraction but cannot specify the properties, can only mention examples and not examples of logarithms 1.

Keywords

mathematical abilities; logarithms; conceptual understanding

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References

Arikunto, Suharsimi. (2012). Prosedur Penelitian Suatu Pendekatan Praktek. Jakarta: Rineka Cipta.

Dimiceli, V. E., et al. (2010). Teaching calculus with Wolfram Alpha. International Journal of Mathematical Education in Science and Technology, 41(8), 1061-1071.

Krulik, Stephen dan Rudnick, Jesse A. (1988). Problem Solvings. Boston: Temple University.

Masamah, Sujadi, dan Riyadi. (2015). Proses Berpikir Reflektif Siswa Kelas X MAN Ngawi Dalam Pemecahan Masalah Berdasarkan Langkah Krulik dan Rudnick Ditinjau dari Kemampuan Awal Matematika. Journal of Mathematic and Mathematics Education. 5(1), 38 -50.

Murtianto, Y. H. (2017). Exploring Of Multi Mathematical Representation Capability In Problem Solving On Senior High School Students. Problems of Education in the 21st Century, 75(6).

Polya, G. (1980). On Solving Mathematical Problems in High School. New Jersey: Princeton Univercity Press.

Saad, N., Ghani, S & Rajendran, N. S. (2005). The Sources of Pedagogical Content Knowledge (PCK) Used by Mathematics Teacher During Instructions: A Case Study. Department of Mathematics: Universiti Pendidikan Sultan Idris.

Sugiyono. (2014). Metode Penelitian Kuantitatif, Kualitatif dan R&D. Bandung: Alfabeta.

Sutrisno, S. (2012). Penerapan Media Pembelajaran Wolfram Alpha Mathematica Untuk Meningkatkan Minat Dan Hasil Belajar. Surakarta: Universitas Muhammadiyah Surakarta.

Ulfa, K., Buchori, A., & Murtianto, Y. H. (2017). Efektivitas Model Guided Discovery Learning untuk Video Pembelajaran dalam Mengetahui Perbedaan Kemampuan Pemecahan Masalah Matematika Siswa. MUST: Journal of Mathematics Education, Science and Technology, 2(2), 267-275.

Widjajanti, D. M. (2009). Kemampuan Pemecahan Masalah Matematis Mahasiswa Calon Guru Matematika: Apa dan Bagaimana Mengembangkannya. Makalah disajikan dalam Seminar Nasional Matematika dan Pendidikan Matematika FMIPA UNY, Yogyakarta, Desember 2009.

DOI: https://doi.org/10.26877/mpp.v13i1.5087