MATEMATİKSEL AKIL YÜRÜTME SÜREÇLERİNİN ANALİZİ: ORTAOKUL ÖĞRENCİLERİ ÖRNEĞİ

Hilal Güler Baran; Gönül Yazgan Sağ

doi:10.30703/cije.1409847

TR EN

MATEMATİKSEL AKIL YÜRÜTME SÜREÇLERİNİN ANALİZİ: ORTAOKUL ÖĞRENCİLERİ ÖRNEĞİ

Öz

Bu araştırmanın amacı, ortaokul 7. sınıf öğrencilerinin matematiksel akıl yürütme süreçlerini matematik problemleri bağlamında incelemektir. Bu araştırma nitel araştırma desenlerinden biri olan fenomenoloji deseni olarak tasarlanmıştır. Araştırmanın katılımcıları da amaçlı örnekleme yöntemlerinden maksimum çeşitlilik örneklemesi yöntemi ile belirlenen 2021-2022 eğitim-öğretim yılında İç Anadolu Bölgesinde bulunan büyük bir ilde öğrenim gören altı 7. sınıf öğrencisidir. Öğrencilerin matematiksel akıl yürütme süreçlerini açığa çıkarmak için literatür ışığında belirlenen ve pilot görüşmeler yapılarak son halini alan 8 matematik problemi kullanılmıştır. Veriler, her bir katılımcı ile yapılan bireysel görüşmeler yoluyla toplanmış ve bu görüşmeler video kamera ile kayıt altına alınmıştır. Toplanan bu veriler ilgili literatür göz önüne alınarak betimsel analiz yöntemi kullanılarak analiz edilmiştir. Verilerden elde edilen bulgulara göre, katılımcıların matematik problemlerinde analiz etme, genelleme ve gerekçelendirme akıl yürütme süreçlerinin tamamını çok çeşitli düzeylerde sergiledikleri görülmüştür. Ayrıca bazı problemlerin ortaya çıkardığı akıl yürütme göstergeleri; akademik başarısı yüksek olarak nitelendirilen öğrencileri, akademik başarısı orta ve düşük olarak nitelendirilen öğrencilerden ayrıştırdığı tespit edilmiştir.

Anahtar Kelimeler

Analysis of mathematical reasoning processes: The case of middle school students

Abstract

The aim of this qualitative research is to examine the mathematical reasoning processes of secondary school 7th grade students in the context of mathematical problems. This research was designed as a phenomenology design. The participants of the research were determined by the maximum diversity sampling method, one of the purposeful sampling methods, in the 2021-2022 academic year, consisting of six 7th grade students studying in a big city in the Central Anatolia Region. In order to reveal the mathematical reasoning processes of the students, 8 mathematical problems determined in the light of the literature and finalized by pilot interviews were used. Data were collected through individual interviews with each participant and these interviews were recorded with a video camera. These collected data were analysed using the descriptive analysis method, with using the relevant literature. According to the findings, it is observed that the participants displayed all of the analysis, generalization and justification reasoning processes in mathematical problems at various levels. In addition, it has been found that the reasoning indicators of some problems differentiated students who are characterized as high academic levels to students whose academic achievement is characterized as medium and low at different levels.

Keywords

Kaynakça

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Ayrıntılar

Birincil Dil

Türkçe

Konular

Matematik Eğitimi

Bölüm

Araştırma Makalesi

Yazarlar

Hilal Güler Baran ^*
0000-0003-4575-6517
Türkiye

Gönül Yazgan Sağ
0000-0002-7237-5683
Türkiye

Yayımlanma Tarihi

29 Eylül 2024

Gönderilme Tarihi

25 Aralık 2023

Kabul Tarihi

21 Mayıs 2024

Yayımlandığı Sayı

Yıl 2024 Cilt: 13 Sayı: 3

DOI

https://doi.org/10.30703/cije.1409847

IZ

https://izlik.org/JA34RT85AE

Kaynak Göster

RIS / Bibtex

APA

Güler Baran, H., & Yazgan Sağ, G. (2024). MATEMATİKSEL AKIL YÜRÜTME SÜREÇLERİNİN ANALİZİ: ORTAOKUL ÖĞRENCİLERİ ÖRNEĞİ. Cumhuriyet Uluslararası Eğitim Dergisi, 13(3), 663-677. https://doi.org/10.30703/cije.1409847