Kesalahan dan Kesulitan Mahasiswa Pendidikan Matematika Unismuh dalam Menegasikan Definisi Limit Fungsi

Abstract

Penelitian ini adalah penelitian kualitatif yang bertujuan mengetahui kesalahan dan kesulitan mahasiswa pendidikan matematika Unismuh dalam menegasikan definisi limit fungsi. Subjek penelitian ini adalah dua orang berkemampuan logika matematika tinggi, mahasiswa Semester II Program Studi Pendidikan Matematika Unismuh Makassar. Penelitian ini menggunakan teknik triangulasi metodologi untuk mengecek keabsahan data, yaitu metode pemberian tes dan wawancara. Oleh karena itu, ada dua instrumen pendukung dalam penelitian ini, yaitu tes, berupa Tes Kemampuan Logika Matematika yang digunakan untuk menjaring subjek penelitian, dan Tes Kemampuan Menegasikan Definisi Limit Fungsi. Hasil penelitian menunjukkan bahwa dua subjek memiliki kesamaan dan perbedaan. Salah satunya mengalami semua jenis kesalahan dalam prosedur Newman, dan satu yang lain tidak mengalami Transformation Error saja. Kedua subjek penelitian mengalami kesulitan yang sama dalam menghadapi pernyataan berkuantor majemuk. Mereka kesulitan menjustifikasi kuantor dan maknanya, kesulitan menentukan fungsi pernyataannya, dan kesulitan menentukan bagian yang ingin dinegasikan.

Kata kunci: kesalahan, kesulitan, negasi, definisi limit fungsi.

This is a qualitative research aimedat uncovering the mistakes and difficulties of mathematics education students of Unismuh in negating the definition of limit of function. The research subjects were two students of the second semester of the mathematics education study program of Unismuh with high ability in mathematical logic. This study used a methodological triangulation technique to check the validity of the data. It was to provide the subjects with tests and interviews. There were two supporting instruments in this study, namely, a test such a mathematical logic ability test which was used to select the students to be the research subjects, and a test for investigating their ability to negate the definition of limit of function. The results show that the two subjects have similarities and differences. One of them experiences all the types of Newman errors, and the other one has no transformation error type only. The two subjects experience the same difficulty in dealing with statements with multiple quantifiers. They have difficulty in justifying the quantifier and its meaning. Also, difficulty in finding the function of the statement and justifying the part to negate.

Keywords: error,difficulty, negation, definition of limit of function.