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Journals / Türk Bilgisayar ve Matematik Eğitimi Dergisi / 2017 / Cilt: 8 - Sayı: 1

Middle School Students' Mathematical Generalization Abilities with the use of Different Representations

Ortaokul Öğrencilerinin Farklı Temsil Biçimlerini Kullanarak Matematiksel Genelleme Yapma Becerileri

Sibel YEŞİLDERE-İMRE
Hatice AKKOÇ
Burcu Nur BAŞTÜRK-ŞAHİN
Pages
103–129
Publication Date
2017-03-31
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

They have transformed visual patterns into number patterns and have not been able to make effective use of pictorial patterns.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The purpose of this research is to examine the forms of thinking and generalization types of students during the generalization of the patterns presented with different representations.
📊
Key Findings & Data:The study was conducted with 92 students studying in the sixth, seventh and eighth grades.
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Conclusion & Impact:They have transformed visual patterns into number patterns and have not been able to make effective use of pictorial patterns.
🔬Design:Survey & Empirical Study
📍Scope:Comprehensive Sample
⚙️Variables:Genelleme · cebirsel genelleme · temsiller

Abstract

The purpose of this research is to examine the forms of thinking and generalization types of students during the generalization of the patterns presented with different representations. It is aimed to examine the generalizations used by the students through the theoretical framework, to determine the forms of thinking that prevent them from making algebraic generalization and to determine the use of different representations of the students. For this purpose, case survey research is used in the research. Participants were selected by purposeful sampling method. The study was conducted with 92 students studying in the sixth, seventh and eighth grades. Descriptive and content analysis were used to analyze the data. Data analysis has shown that students tended to have arithmetic generalizations rather than algebraic generalizations. Students have difficulties in making algebraic generalizations using pictorial patterns. They have transformed visual patterns into number patterns and have not been able to make effective use of pictorial patterns.

Özet

Bu araştırmada farklı temsil biçimleriyle sunulan örüntüleri genellemede öğrencilerin düşünme şekillerini ve genelleme yapma türlerini incelemek amaçlanmaktadır. Öğrencilerin kullandıkları genelleme türlerinin kuramsal çerçeve bağlamında incelenmesi, cebirsel genelleme yapmaya engel olan düşünme şekillerinin belirlenmesi ve öğrencilerin farklı temsil biçimlerini genelleme yapma yönünde kullanma şekillerinin saptanması hedeflenmektedir. Bu bağlamda araştırmada örnek olay tarama modeli kullanılmıştır. Katılımcılar amaçlı örnekleme yöntemi ile seçilmiştir. Çalışma altıncı, yedinci ve sekizinci sınıfta okuyan 92 öğrenciyle gerçekleştirilmiştir. Elde edilen veriye betimsel ve içerik analizi uygulanmıştır. Veri analizi öğrencilerin cebirsel genelleme yerine aritmetik genelleme eğilimlerinin olduğunu göstermiştir. Öğrenciler şekil örüntülerini kullanarak cebirsel genelleme yapmada güçlük çekmişlerdir. Şekil örüntülerini sayı örüntüsüne dönüştürmüşler ve şekil örüntüsünden etkili şekilde yararlanamamışlardır.

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Cite This Article

YEŞİLDERE-İMRE, S., AKKOÇ, H., BAŞTÜRK-ŞAHİN, B. N. (2017). Middle School Students' Mathematical Generalization Abilities with the use of Different Representations. Türk Bilgisayar ve Matematik Eğitimi Dergisi, Cilt: 8 - Sayı: 1, 103–129. https://ajindex.com/articles/241245

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