Analisis Kesalahan Representasi Simbolik Mahasiswa Pada Soal Geometri Analitik Bidang

Authors

  • Fertilia Ikashaum IAIN Metro
  • Juitaning Mustika
  • Endah Wulantina
  • Edo Dwi Cahyo

DOI:

https://doi.org/10.24256/jpmipa.v9i1.1701

Keywords:

Symbolic Representation, Analytic Geometry, Student Mistakes

Abstract

Abstract:

Symbolic representation is a dominating ability in geometry. The purpose of this study was to determine the written responses of students when representing geometric objects in mathematical equations. The research used a qualitative descriptive method which was carried out on IAIN Metro students. The test instrument used is in the form of questions to measure the ability of students' symbolic representation with indicators presenting visual representations to mathematical equations or expressions representation. The test instrument is in the form of a circle image along with tangents and polar lines which then must be described by students based on what they see in the picture. Based on the research results, it was obtained three types of student symbolic representation mistakes when solving analytic geometry problems


Abstrak:

Representasi simbolik merupakan kemampuan yang penting dikuasai dalam geometri. Tujuan penelitian ini adalah untuk mengetahui kesalahan mahasiswa ketika merepresentasi objek geometri ke dalam persamaan matematika. Penelitian menggunakan metode deskriptif kualitatif yang dilakukan pada mahasiswa IAIN Metro. Instrumen yang digunakan berupa soal untuk mengukur kemampuan representasi simbolik mahasiswa dengan indikator menyajikan representasi visual ke representasi persamaan atau ekspresi matematis. Instrumen tes berupa gambar lingkaran beserta garis singgung dan garis kutubnya yang kemudian harus dideskripsikan oleh mahasiswa berdasarkan apa yang mereka lihat pada gambar tersebut. Hasil penelitian menunjukkan tiga jenis kesalahan mahasiswa yang sering terjadi dalam melakukan representasi simbolik objek geometri, yaitu tidak memahami konsep, kesalahan dalam membaca data yang terdapat pada gambar, serta kesalahan melakukan operasi matematika.


Author Biography

Fertilia Ikashaum, IAIN Metro

Tadris Matematika

Fakultas Tarbiyah dan Ilmu Keguruan

IAIN Metro

References

Aliyanti, Anggiana Putri, Octavina Rizky Utami Putri, and Zukhrufurrohmah Zukhrufurrohmah. “Analisis Kesalahan Representasi Simbolik Mahasiswa Dalam Menyelesaikan Soal High Order Thinking Skill.†AKSIOMA: Jurnal Program Studi Pendidikan Matematika 8, no. 3 (2019): 382. https://doi.org/10.24127/ajpm.v8i3.2265.

Asma, Nurul, and M Ikhsan. “Pengembangan Perangkat Pembelajaran Geometri Dengan Pendekatan Realistic Mathematics Education (RME) Berbantuan Cabri 3D.†Jurnal Peluang 7, no. 1 (2019): 86–93. https://doi.org/10.24815/jp.v7i1.13740.

Astuti, Erni Puji. “Representasi Matematis Mahasiswa Calon Guru Dalam Menyelesaikan Masalah Matematika.†Beta Jurnal Tadris Matematika 10, no. 1 (2017): 70. https://doi.org/10.20414/betajtm.v10i1.100.

Ayu, Argi, Sulistyani Kusumaningtyas, Tri Sri, and Noor Asih. “Analisis Kesalahan Kemampuan Representasi Matematis Pada Model Pembelajaran Think-Talk-Write Dengan Verbal Feedback.†In PRISMA, Prosiding Seminar Nasional Matematika, 3:518–20, 2020.

Bloom, B.S. Human Characteristics and School Learning. McGraw-Hill, 1976.

Duru, Adem, and Onder Koklu. “Middle School Students’ Reading Comprehension of Mathematical Texts and Algebraic Equations.†International Journal of Mathematical Education in Science and Technology 42, no. 4 (2011): 447–68. https://doi.org/10.1080/0020739X.2010.550938.

Ikashaum, Fertilia, Kartika Sari Dewi, and Lena Wahyuni. “Analisis Kebutuhan Bahan Ajar Geometri Berbantuan Aplikasi Komputer.†Jurnal Komputasi 7, no. 2 (2019): 38–42.

Imswatama, Aritsya, and Nur’aini Muhassanah. “Analisis Kesalahan Mahasiswa Dalam Menyelesaikan Soal Geometri Analitik Bidang Materi Garis Dan Lingkaran.†Suska Journal of Mathematics Education 2, no. 1 (2016): 1. https://doi.org/10.24014/sjme.v2i1.1368.

Khairunnisa, Gusti Firda, Abdur Rahman, and Hery Susanto. “Keberhasilan Siswa Dalam Menyelesaikan Soal Cerita Berdasarkan Kemampuan Membuat Berbagai Representasi Matematis.†Jurnal Pendidikan Universitas Negeri Malang 3, no. 6 (2018): 723–30.

Kii, Yuliana Ina. “Analysis of Representation Forms on Linear Equations System Two Variables ( LESTV ) Materials for Class VIII Junior High School†2019, no. July 2019 (2020): 85–91. https://doi.org/10.24071/seadr.2019.12.

Krajcevski, Mile, and Ruthmae Sears. “Common Visual Representations as a Source for Misconceptions of Preservice Teachers in a Geometry Connection Course.†International Journal of Mathematics Teaching and Learning 20, no. 1 (2019): 85.

Novita, Rita, Rully Charitas Indra Prahmana, Nurul Fajri, and Mulia Putra. “Penyebab Kesulitan Belajar Geometri Dimensi Tiga.†Jurnal Riset Pendidikan Matematika 5, no. 1 (2018): 18. https://doi.org/10.21831/jrpm.v5i1.16836.

Olivier, Alwyn. “Handling Pupils ’ Misconceptions.†Mathematics Education for Pre-Service and In-Service, no. July (1992): 193–209.

Priyanto, Budi Hari, and Mokhammad Ridwan Yudhanegara. “Peran Bahan Ajar Berbasis Teori Van Hiele Pada Kemampuan Representasi Matematis Siswa.†In Sesiomadika: Prosiding Seminar Nasional Matematika Dan Pendidikan Matematika, 343–51, 2018.

Radatz, Hendrik. “Error Analysis in Mathematics Education.†Journal for Research in Mathematics Education 10, no. 3 (2020): 163–72. https://doi.org/10.5951/jresematheduc.10.3.0163.

Samo, Damianus Dao. “Kemampuan Pemecahan Masalah Matematika Mahasiswa Tahun Pertama Dalam Memecahkan Masalah Geometri Konteks Budaya.†Jurnal Riset Pendidikan Matematika 4, no. 2 (2017): 141. https://doi.org/10.21831/jrpm.v4i2.13470.

Tambychik, Tarzimah, and Thamby Subahan Mohd Meerah. “Students’ Difficulties in Mathematics Problem-Solving: What Do They Say?†Procedia - Social and Behavioral Sciences 8, no. 5 (2010): 142–51. https://doi.org/10.1016/j.sbspro.2010.12.020.

Tripathi, Preety N. “Exploring the Use of Deductive Logic in Geometry As.†In International Conference to Review Research in Science, Technology and Mathematics Education, 91–100, 2020.

Yudhanegara, Mokhammad Ridwan, and Karunia Eka Lestari. “Analisis Kemampuan Representasi Matematis Mahasiswa Pada Mata Kuliah Geometri Transformasi Berdasarkan Latar Belakang Pendidikan Menengah.†Jurnal Matematika Integratif 13, no. 1 (2017): 29. https://doi.org/10.24198/jmi.v13.n1.11410.29-34.

Downloads

Published

03-03-2021

How to Cite

Ikashaum, F., Mustika, J., Wulantina, E., & Cahyo, E. D. (2021). Analisis Kesalahan Representasi Simbolik Mahasiswa Pada Soal Geometri Analitik Bidang. Al-Khwarizmi : Jurnal Pendidikan Matematika Dan Ilmu Pengetahuan Alam, 9(1), 57–68. https://doi.org/10.24256/jpmipa.v9i1.1701

Citation Check