IDENTIFICATION OF MATHEMATICAL ERRORS COMMITTED BY SENIOR SCHOOL STUDENTS IN CALCULUS

Khadijat Saka AMEEN, Semiu Ayinla SALAWU, Hammed Bidemi ARABA

Abstract


 

Abstract

This study aimed to identify mathematical errors committed by senior school students in calculus. Specifically, this study analyzes the various types of errors committed when solving problems involving calculus. The study is a descriptive study that employed a mathematics performance test on calculus (MPT-C) as the research instrument. The study considered two independent variables which are: error type and gender. The research sample for the study comprised all senior secondary school three (SS III) students. A random sampling technique was used to select the participating schools. A total of 300 senior secondary school students were involved in the selected schools. All research questions were answered using mean gain difference while all research hypotheses were tested using chi-square. All the research hypotheses were tested at a 0.05-significance level. The results of the analysis indicated that: there were no significant differences in the frequencies of structural, supposition, translation, operation, and random errors committed by male and female senior secondary school students in word problem-solving involving calculus.

 

Keywords:  calculus; error; identification; gender; mathematics

 

Abstrak

Penelitian ini bertujuan untuk mengidentifikasi kesalahan matematika yang dilakukan oleh siswa sekolah menengah atas dalam materi kalkulus. Secara khusus, penelitian ini menganalisis berbagai jenis kesalahan yang dilakukan ketika memecahkan masalah yang melibatkan kalkulus. Penelitian ini merupakan penelitian deskriptif dengan instrumen penelitian berupa tes kinerja matematika pada kalkulus. Penelitian ini mempertimbangkan dua variabel independen yaitu: jenis kesalahan dan jenis kelamin. Sampel penelitian untuk penelitian ini adalah seluruh siswa sekolah menengah atas (SS III). Teknik pengambilan sampel secara acak digunakan untuk memilih sekolah yang berpartisipasi. Sebanyak 300 siswa sekolah menengah atas terlibat di sekolah-sekolah yang terpilih. Semua pertanyaan penelitian dijawab dengan menggunakan rata-rata perbedaan gain, sedangkan semua hipotesis penelitian diuji menggunakan chi-square. Semua hipotesis penelitian diuji pada tingkat signifikansi 0,05. Hasil analisis menunjukkan bahwa: tidak ada perbedaan yang signifikan dalam frekuensi kesalahan struktural, anggapan, terjemahan, operasi, dan acak yang dilakukan oleh siswa sekolah menengah laki-laki dan perempuan dalam pemecahan masalah kata yang melibatkan kalkulus.

Kata Kunci: identifikasi; jenis kelamin; kalkulus; kesalahan; matematika

 

 

DOI: http://dx.doi.org/10.23960/mtk/v10i2.pp106-120



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