An Analysis of Middle School 7th Grade Students' Problem Solving Processes with Integers and Rational Number Problems According to Newman's Error Analysis Steps

Rüveyda Erdoğan; Ali Özkaya

Makale detayları

An Analysis of Middle School 7th Grade Students' Problem Solving Processes with Integers and Rational Number Problems According to Newman's Error Analysis Steps

Yazarlar:

Rüveyda Erdoğan | Ali Özkaya

Yayıncı:

Van Yuzuncu Yıl University

Ana Başlıklar:

Matematik Eğitimi

Dergi:

Van Yüzüncü Yıl Üniversitesi Eğitim Fakültesi Dergisi Vol.20 Issue 2, pp.571-602

Belge Tipi:

Makale

Yayın Tarihi:

8/2023

Belge Dili:

Türkçe

Document ID (Org No.):

2001297044

pISSN:

1305-2020

Anahtar kelimeler:

Özet:

 This research was conducted to determine the sources of errors by analysing the errors made by 7th grade students solving verbal mathematics problems according to Newmans error analysis steps. In the 2021-2022 academic year, 60 students studying in the 7th grade of a public secondary school in the Mediterranean Region participated in the research. This study is a qualitative research and the data were analysed with the descriptive analysis method. The answers obtained from the students were examined with the Newman Error Analysis Inventory. Individual interviews were conducted with the 10 students who had more incorrect answers than the others. As a result of the research, it was determined that the participants common mistakes were in the comprehension level, in the process skills and in the transformation step. According to the results of the research, it is recommended to focus more on problem solving strategies in mathematics lessons and to give feedback to the students by analysing the mistakes of the students during the problem solving process. Collaboration between Mathematics and Turkish teachers should be reinforced by emphasizing both reading comprehension and mathematical literacy, since student mistakes are mostly at the comprehension level.

 This research was conducted to determine the sources of errors by analysing the errors made by 7th grade students solving verbal mathematics problems according to Newmans error analysis steps. In the 2021-2022 academic year, 60 students studying in the 7th grade of a public secondary school in the Mediterranean Region participated in the research. This study is a qualitative research and the data were analysed with the descriptive analysis method. The answers obtained from the students were examined with the Newman Error Analysis Inventory. Individual interviews were conducted with the 10 students who had more incorrect answers than the others. As a result of the research, it was determined that the participants common mistakes were in the comprehension level, in the process skills and in the transformation step. According to the results of the research, it is recommended to focus more on problem solving strategies in mathematics lessons and to give feedback to the students by analysing the mistakes of the students during the problem solving process. Collaboration between Mathematics and Turkish teachers should be reinforced by emphasizing both reading comprehension and mathematical literacy, since student mistakes are mostly at the comprehension level.

 This research was conducted to determine the sources of errors by analysing the errors made by 7th grade students solving verbal mathematics problems according to Newmans error analysis steps. In the 2021-2022 academic year, 60 students studying in the 7th grade of a public secondary school in the Mediterranean Region participated in the research. This study is a qualitative research and the data were analysed with the descriptive analysis method. The answers obtained from the students were examined with the Newman Error Analysis Inventory. Individual interviews were conducted with the 10 students who had more incorrect answers than the others. As a result of the research, it was determined that the participants common mistakes were in the comprehension level, in the process skills and in the transformation step. According to the results of the research, it is recommended to focus more on problem solving strategies in mathematics lessons and to give feedback to the students by analysing the mistakes of the students during the problem solving process. Collaboration between Mathematics and Turkish teachers should be reinforced by emphasizing both reading comprehension and mathematical literacy, since student mistakes are mostly at the comprehension level.

 Bu araştırma 7. sınıf öğrencilerinin sözel matematik problemlerini çözerken yaptıkları hataları Newmanın hata analizi adımlarına göre inceleyerek hataların kaynaklarını tespit etmek amacıyla yapılmıştır. Araştırmaya 2021-2022 eğitim-öğretim yılında Akdeniz Bölgesindeki bir devlet ortaokulunda 7. sınıfta öğrenim gören 60 öğrenci katılmıştır. Çalışma nitel olarak tasarlanmış olup veriler betimsel analiz yöntemiyle analiz edilmiştir. Öğrencilerden elde edilen cevaplar Newman Hata Analiz Envanteri ile incelenmiştir. Bu öğrenciler içinden en çok hata yapan 10 öğrenci ile de bireysel görüşme yapılmıştır. Araştırmanın sonucunda katılımcıların en çok sırasıyla anlama basamağında, süreç becerilerinde ve dönüşüm basamağında hata yaptığı tespit edilmiştir. Çalışma sonuçlarına göre matematik derslerinde problem çözme stratejileri üzerine daha fazla odaklanılması, öğretmenlerin, problem çözme sürecinde öğrencilerin yaptıkları hataları analiz ederek öğrencilere dönüt vermeleri önerilir. Yapılan öğrenci hatalarının en çok anlama basamağında olması nedeniyle hem okuduğunu anlama hem de matematiksel okuryazarlık üzerinde durularak matematik ve Türkçe öğretmenleri arasındaki iş birliği güçlendirilmelidir.

Makale detayları

An Analysis of Middle School 7th Grade Students' Problem Solving Processes with Integers and Rational Number Problems According to Newman's Error Analysis Steps

Yazarlar:

Rüveyda Erdoğan | Ali Özkaya

Yayıncı:

Van Yuzuncu Yıl University

Ana Başlıklar:

Matematik Eğitimi

Dergi:

Van Yüzüncü Yıl Üniversitesi Eğitim Fakültesi Dergisi Vol.20 Issue 2, pp.571-602

Belge Tipi:

Makale

Yayın Tarihi:

8/2023

Belge Dili:

Türkçe

Document ID (Org No.):

2001297044

pISSN:

1305-2020

Newman error analysis

middle school students

problem solving

mathematics educationNewman hata analizi

ortaokul öğrencileri

problem çözme

matematik eğitimi

Sayı

Makale detayları

Yazarlar: Rüveyda Erdoğan | Ali Özkaya

Yayıncı: Van Yuzuncu Yıl University

Ana Başlıklar: Matematik Eğitimi

Dergi: Van Yüzüncü Yıl Üniversitesi Eğitim Fakültesi Dergisi Vol.20 Issue 2, pp.571-602

Belge Tipi: Makale

Yayın Tarihi: 8/2023

Belge Dili: Türkçe

Document ID (Org No.): 2001297044

pISSN: 1305-2020

Sayı

Yazarlar:

Rüveyda Erdoğan | Ali Özkaya

Yayıncı:

Van Yuzuncu Yıl University

Ana Başlıklar:

Matematik Eğitimi

Dergi:

Van Yüzüncü Yıl Üniversitesi Eğitim Fakültesi Dergisi Vol.20 Issue 2, pp.571-602

Belge Tipi:

Makale

Yayın Tarihi:

8/2023

Belge Dili:

Türkçe

Document ID (Org No.):

2001297044

pISSN:

1305-2020