High School Students’ Achievement Of Solving Quadratic Equations

Yıl 2017, Cilt: 6 Sayı: 2, 447 - 467, 30.06.2017

Pınar Güner

https://doi.org/10.14686/buefad.277494

Cited By: 4

Öz

The purpose of the present study was to investigate tenth grade
students` achievement of solving quadratic equations, to examine their tendency
of using different solution ways which are completing the square, factorization
and quadratic formula and to determine the errors made by students. 50 tenth
grade students of a high school in northern part of Turkey constituted the
sample of the study. In data collection, 9 open-ended questions related to
quadratic equations was carried out all students in the sample. Data were
analyzed through content analysis and also descriptive statistics: percentage
and frequency were presented. Besides, the errors made by students were showed
by quoting from their answers. The findings showed that most of the students
have difficulty in solving quadratic equations and make various errors. The
students’ errors in solving quadratic equation were tend to be due to their
weaknesses in mastering topics such as algebra, fractions, negative numbers,
the rules of quadratic equations` solution methods, calculation and algebraic
simplification. In addition to this, the findings revealed that students were
usually in tendency to use factorization in order to solve quadratic equations.

Anahtar Kelimeler

Algebra, quadratic equations, solution ways

Lise Öğrencilerinin İkinci Dereceden Denklemleri Çözme Başarıları

Öz

Bu çalışmanın amacı onuncu sınıf öğrencilerinin ikinci dereceden
denklemleri çözme başarılarını incelemek, tam kareye tamamlama, çarpanlara
ayırma, ikinci dereceden denklem formülü olmak üzere farklı çözüm yollarını
kullanma eğilimlerini araştırmak ve öğrenciler tarafından yapılan hataları
belirlemektir. Çalışmanın örneklemini Türkiye’nin kuzeyinde yer alan bir lisede
öğrenim gören 50 onuncu sınıf öğrencisi oluşturmaktadır. Veriler ikinci
dereceden denklemlere yönelik 9 sorunun örneklemdeki bütün öğrencilere
uygulanmasıyla elde edilmiştir. İçerik analizi yapılarak veriler analiz
edilmiş, yüzde ve frekans değerleri verilerek tanımlayıcı istatistiksel bilgi
sunulmuştur. Bunun yanı sıra, öğrencilerin cevaplarından alıntılar yapılarak
hata türleri gösterilmiştir. Bulgular, öğrencilerin ikinci dereceden
denklemleri çözmekte zorlandıklarını ve çözerken çeşitli hatalar yaptıklarını
göstermektedir. Öğrencilerin ikinci dereceden denklemleri çözerken yaptıkları
hatalar cebirsel ifadeler, kesirler, negatif sayılar, ikinci dereceden denklem
çözme kuralları, hesaplama ve cebirsel sadeleştirme gibi konuları tam
öğrenememesine dayalı zayıflığından kaynaklanmaktadır. Ayrıca, öğrencilerin
genellikle ikinci dereceden denklemleri çarpanlara ayırma yöntemiyle çözme
eğiliminde oldukları sonucuna ulaşılmıştır.

Anahtar Kelimeler

Cebir, ikinci dereceden denklemler, çözüm yolları

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