ANALISIS PEMAHAMAN KONSEP ALJABAR PADA MATA KULIAH ALJABAR LINEAR ELEMENTER

Abstract

Abstrak

Artikel ini bertujuan untuk mengetahui kemampuan pemahaman konsep mahasiswa berdasarkan indikator pemahaman matematis pada mata kuliah aljabar linear elementer materi ruang vektor, sub ruang vektor, dan vektor Euclidean. Penelitian ini menggunakan pendekatan deskriptif kualitatif. Subjek penelitian meliputi mahasiswa jurusan pendidikan matematika fakultas tarbiyah dan keguruan UIN Alauddin Makassar angkatan 2016 yang diduga mengalami kesulitan dalam memahami konsep pada mata kuliah aljabar linear elementer. Instrumen penelitian yang digunakan adalah tes diagnostik dan wawancara. Teknik analisis data yaitu reduksi data, penyajian data, dan penarikan kesimpulan. Hasil penelitian menunjukkan bahwa kemampuan pemahaman mahasiswa jurusan pendidikan matematika UIN Alauddin Makassar angkatan 2016 dalam menyelesaikan soal aljabar linear elementer ditinjau dari indikator kemampuan pemahaman matematis, mahasiswa tergolong cukup mampu pada indikator: (1) pemahaman mampu menyatakan ulang sebuah konsep, (2) menyajikan konsep dalam berbagai bentuk representasi matematika, (3) menggunakan, memanfaatkan dan memilih prosedur tertentu, dan (4) mengaplikasikan konsep/algoritma ke pemecahan masalah. Namun, mahasiswa tergolong tidak mampu pada indikator kemampuan memberi contoh dan bukan contoh. Adapun faktor-faktor yang mempengaruhi pemahaman konsep mahasiswa pendidikan matematika UIN Alauddin Makassar angkatan 2016 pada mata kuliah Aljabar Linear Elementer dalam konsep ruang vektor, sub ruang vektor, dan ruang vektor Euclidean, yaitu faktor internal: kurangnya minat belajar, kurang fokus dalam belajar, motivasi belajar rendah, konsentrasi belajar rendah, kemampuan mengingat rendah, dan kurang rasa percaya diri. Faktor eksternal, yaitu mahasiswa kurang memahami maksud soal, mahasiswa lupa konsep aksioma, mahasiswa tidak tahu konsep aksioma, penggunaan gadget selama proses pembelajaran, dosen kurang memperhatikan mahasiswa selama proses pembelajaran, dan tidak adanya buku pegangan mahasiswa.

Abstract

This article aims to determine the ability to understand student concepts based on indicators of mathematical understanding in elementary linear algebra courses in vector space, sub vector spaces, and euclidean vectors. This research used desciptive qualitative approach. Research subjects included students majoring in mathematics education at the tarbiyah faculty and the UIN Alauddin Makassar class of 2016 who were suspected of having difficulty understanding concepts in linear elementary algebra courses. The research instruments used were diagnostic tests and interviews. Data analysis techniques are data reduction, data presentation, and drawing conclusions. The results showed that the understanding ability of students majoring in mathematics education at UIN Alauddin Makassar class of 2016 in solving linear elementary algebra in terms of indicators of mathematical understanding ability, students classified as quite capable of indicators: (1) understanding is able to restate a concept, (2) present the concept in various forms of mathematical representation, (3) using, utilizing and choosing certain procedures, and (4) applying concepts / algorithms to problem solving. However, students are classified as not capable of the ability to set examples and not examples. The factors that influence the understanding of the concept of mathematics education student UIN Alauddin Makassar class of 2016 in the Linear Elementary Algebra in the concept of vector space, sub vector space, and Euclidean vector space, namely internal factors: lack of interest in learning, lack of focus in learning, motivation low learning, low concentration of learning, low ability to remember, and lack of confidence. External factors, namely students do not understand the purpose of the problem, students forget the concept of axioms, students do not know the concept of axioms, the use of gadgets during the learning process, lecturers pay less attention to students during the learning process, and the absence of student handbooks.