IDENTIFICATION OF MATHEMATICAL ERRORS COMMITTED BY SENIOR SCHOOL STUDENTS IN CALCULUS
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
Full Text:
PDF (ENGLISH)References
Abiam, P., & Odok, J. (2006). Factor in students’achievement in different branches of secondary school mathematics. Journal of Educational and Technology, 1(1), 161-168.
Adigun, O. T. (2016). Analysis of errors committed in solving fraction problemsby senior secondary school students in Oyo State, Nigeria(Unpublished Ph.D. Thesis). University of Ilorin, Ilorin, Nigeria.
Ambali, A. (2014). Real deal:Mathematics education for sustainabledevelopment. Unilorin Bulletin September 8, pg (4).
Ameen, S. K. (2007). Effect of mathematical language instruction on seniorsecondary school students’ performance in bearing word problems in Mathematics(Unpublished M.Ed dissertation). University of Ilorin, Ilorin, Nigeria.
Ameen, S. K.,& Salman, M. F. (2015). Students’ mathematical language proficiency as predictor of their performance in mathematics bearing word problem. ABACUS:Journal of the Mathematical Association of Nigeria,1(40), 7- 8.
Cecilia, O. E.,& Anthony, A. (2013). Process error and students’ achievement in senior secondary certificate examination in Mathematics in Nigeria. Journal of Emerging Trends in Educational Research and Policy Studies (JETERAPS),3(4), 600-603.
Fajemidagba, M. O. (1986). Mathematics word problem solving and analysis oferrors committed by students. Nigeria Journal of Guidance and Counseling, 2(1), 23- 30.
Fajemidagba, M. O., Salman, M. F.,& Ayinla, J. (2012). Effect of teachers’ instructional strategy pattern on senior secondary school students’ performance in mathematics word problems in Ondo, Nigeria. Journal of Education and Practice, 3(7), 159- 164.
FRN (2013). National policy on education (6th edition). Lagos: NERDC.
Harbor-Peter, V. F. (2000). Mathematics language for the new millenniumimplication of the society. Paper presented at the Proceeding of annual conference of MAN (September 2nd - 6th).
Hydea, J. S.,& Mertzb, J. E. (2009). Gender, culture, and mathematicsperformance. Retrieved from http://tctvideo. madison.com/uw/gender.
Iyase, S. (2018). Mathematics: A platform for leapfrogging into scientific andtechnological advancement. 14th Inaugural Lecture ofCovenant University, Ota, Ogun State.
Nigeria Education Research and Development Council (2011). Federal ministry ofeducation senior secondary education Mathematics curriculum.Abuja: NERDC.
Odetola, C. A. (2011). Effect of mathematical language on errors committed bysenior school student in bearing problems in Omuo-Ekiti, Nigeria. (Upublished Master’s dissertation). University of Ilorin, Nigeria.
Opolot, O.C. (2005). Student atitudes towards mathematics in uganda secondary schools. Africa Jounals of Resaerch in Mathematics Science and Technology Education,9(2), 167-174.
Pawan, S. (2013). Mathematics: Meaning, importance and uses.Retrieved fromhttps://www.importantindia.com/8083/mathematics/
Salman, M. F. (2002). Types of errors committed in word problem solving byconcrete and formal operational junior secondary school students in Mathematics. Ilorin Journal of Education, 2(1), 155-126.
Salman, M. F. (2004). An analysis of gender influence and performance of JSS stuents’ technique in solving simultaneous linear equations by graphical method Gender discourse. Women Academics, 21(1), 87-98.
Salman, M. F. (2004). Analysis of errors committed in word problems involvingsimultaneous linear equations by Nigerian secondary school students. ABACUS: TheJournal of the Mathematical Association of Nigeria (MAN),29(1), 39- 48.
Salman, M. F. (2005). Teachers’ identification of the difficulty levels of topics in the primary school mathematics curriculum in Kwara State. ABACUS: The Journal of the Mathematical Association of Nigeria (MAN),30(1), 20- 29.
Tiamiyu, M. A. (2014). Errors committed by senior school students in solvingword problems involving set theory in Asa, Kwara State, Nigeria(An Unpublished M.Ed. Dissertation). University of Ilorin, Ilorin, Nigeria.
Verschaffel L., Greer, B.,& De Corte, E. (2000). Making sense of word problems.Educational Studies in Mathematics, 42(2), 211-213.
Wikipedia, the free Encyclopedia. (2012). Problemsolving. Retrieved from http://en.wikipedia.org/wiki/Problemsolving.
Refbacks
- There are currently no refbacks.
Indexing by:
Ciptaan disebarluaskan di bawah Lisensi Creative Commons Atribusi-NonKomersial-BerbagiSerupa 4.0 Internasional.