Performance and Difficulties of Students in Formulating and Solving Quadratic Equations with One Unknown        
Yazarlar (2)
Prof. Dr. Makbule Gözde DİDİŞ KABAR Tokat Gaziosmanpaşa Üniversitesi, Türkiye
Ayhan Kursat Erbas
Middle East Technical University (Metu), Türkiye
Makale Türü Açık Erişim Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale
Dergi Adı Kuram Ve Uygulamada Egitim Bilimleri
Dergi ISSN 1303-0485 Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler SSCI
Dergi Grubu Q4
Makale Dili İngilizce
Basım Tarihi 08-2015
Cilt No 15
Sayı 4
Sayfalar 1137 / 1150
DOI Numarası 10.12738/estp.2015.4.2743
Makale Linki http://www.estp.com.tr/article/performance-and-difficulties-of-students-in-formulating-and-solving-quadratic-equations-with-one-unknown/
Özet
This study attempts to investigate the performance of tenth-grade students in solving quadratic equations with one unknown, using symbolic equation and word-problem representations. The participants were 217 tenth-grade students, from three different public high schools. Data was collected through an open-ended questionnaire comprising eight symbolic equations and four word problems; furthermore, semi-structured interviews were conducted with sixteen of the students. In the data analysis, the percentage of the students' correct, incorrect, blank, and incomplete responses was determined to obtain an overview of student performance in solving symbolic equations and word problems. In addition, the students' written responses and interview data were qualitatively analyzed to determine the nature of the students' difficulties in formulating and solving quadratic equations. The findings revealed that although students have difficulties in solving both symbolic quadratic equations and quadratic word problems, they performed better in the context of symbolic equations compared with word problems. Student difficulties in solving symbolic problems were mainly associated with arithmetic and algebraic manipulation errors. In the word problems, however, students had difficulties comprehending the context and were therefore unable to formulate the equation to be solved. Thus, it is concluded that the differences in the structural properties of the symbolic equations and word problem representations affected student performance in formulating and solving quadratic equations with one unknown
Anahtar Kelimeler
Algebra | Mathematics education | Quadratic equations | Quadratic word problems | Students’ difficulties