ANALISIS KESALAHAN SISWA DALAM MENYELESAIKAN SOAL LIMIT FUNGSI

Abstract

Abstrak: Tujuan penelitian ini adalah (1) untuk mengetahui jenis kesalahan yang dilakukan siswa dalam menyelesaikan soal limit fungsi, (2) untuk mengetahui faktor-faktor yang menyebabkan siswa melakukan kesalahan dalam menyelesaikan soal limit fungsi. Jenis penelitian ini adalah penelitian kualitatif. Subjek penelitian adalah 3 siswa yang diambil dari 29 siswa kelas XI IPA 4. Hasil penelitian ini menunjukkan bahwa jenis-jenis kesalahan yang dilakukan siswa yaitu kesalahan fakta, kesalahan konsep, kesalahan prinsip, dan kesalahan prosedural berdasarkan pada klasifikasi kesalahan dasar objek matematika. Kesalahan fakta yang dilakukan siswa yaitu siswa keliru dalam menuliskan simbol limit fungsi. Kesalahan konsep yang dilakukan siswa yaitu (1) siswa salah dalam menggunakan rumus untuk menyelesaikan soal, (2) siswa tidak memahami aturan dari limit fungsi. (3) siswa tidak mampu menyelesaikan soal. Kesalahan prinsip yang dilakukan siswa yaitu (1) keliru dalam menjabarkan suatu fungsi, (3) keliru dalam menentukan bentuk akar sekawan dari suatu fungsi, (3) tidak memahami materi prasyarat dari limit fungsi. Kesalahan prosedural yang dilakukan siswa yaitu: (1) berupa kesalahan memahami dan mencermati perintah soal, (2) kesalahan dalam melakukan operasi, (3) keliru dalam penulisan dan (4) kesalahan prosedur tidak lengkap. Faktor-faktor yang menyebabkan siswa melakukan kesalahan-kesalahan dalam menyelesaikan soal limit fungsi  yaitu siswa tidak mengetahui simbol dari limit kiri dan limit kanan yang benar, siswa kurang memahami konsep dari limit fungsi, pengetahuan prasyarat dari limit fungsi yang dimiliki siswa masih belum cukup atau kurang, siswa kurang teliti dalam menyelesaikan soal limit fungsi dan keterampilan yang dimiliki oleh siswa sangat kurang.

Kata kunci: Analisis Kesalahan, Menentukan Nilai Limit Fungsi.

Abstract: The objectives of this research are (1) to find out types of error which were done by students in solving limit function problems. (2) to find out factors which caused students made mistake in solving limit function problems. The types of this research is qualitative research. The subjects of this research are 3 students which were taken from 29 students of  class XI IPA 4. The result of this research shows that the types of error which were done by the students are factual error, conceptual error, principle error, and procedural error, according to basic error classification of mathematics object. Factual errors which was done by the students is students made mistake in writing limit function symbols. Conceptual errors which were done by the students are (1) students made mistake in using formula to solve the problems, (2) students did not understand well the rule of limit function, (3) students could not solve the problems. Principle errors which were done by the students are (1) students made mistake in operating algebraic forms, (2) made mistake in elaborating a function, (3) made mistake in determining flock root form of a function, (4) did not understand the prerequisite material of limit function. Furthermore, procedural errors which were done by the students are: (1) error in understanding and paying attention to the problems instructions, error in doing the operation (3) error in writing and (4) incomplete procedural error. Factors which caused students made mistake in solving limit function problems are students did not understand well the concept of limit function, students did not solve the problems carefully, students’ skill which was still less, students’ prerequisite knowledge which was still not sufficient, and the students had lack of initiative to recall all lesson that they had learned at school.

Keywords: Error Analysis, Determining Limit Function Value.