Algebraic Thinking in Middle School Students at Different Grades: Conceptions about Generalization of Patterns

Dilek GİRİT., (Trakya Üniversitesi, Edirne, Türkiye)
Didem AKYÜZ (Orta Doğu Teknik Üniversitesi, Ankara Türkiye)
Necatibey Eğitim Fakültesi Elektronik Fen ve Matematik Eğitimi Dergisi
13 9
Yıl: 2016 Cilt: 10 Sayı: 2 Sayfa Aralığı: 243 - 272 Metin Dili: İngilizce DOI: 10.17522/balikesirnef.277815 İndeks Tarihi: 26-03-2021

Algebraic Thinking in Middle School Students at Different Grades: Conceptions about Generalization of Patterns

Öz:
Algebra is generally considered as manipulating symbols, while algebraic thinking is aboutgeneralization. Patterns can be used for generalizat ion to develop early graders’ algebraic thinking. In thegeneralization of pattern context, the purpose of this study is to investigate middle school students’ reasoningand strategies at different grades when their algebraic thinking begins to develop. First, 6 open-ended lineargrowth pattern problems as numeric, pictorial, and tabular representations were asked to 154 middle gradestudents. Next, two students from each grade (6th, 7th, and 8th grade) were interviewed to investigate how theyinterpret the relationship in different represented patterns, and which strategies they use. The findings of thisstudy showed that students tended to use algebraic symbolis m as their grade level was increased. However, thestudents’ conceptions about ‘variable’ were troublesome.
Anahtar Kelime:

Farklı Sınıf Seviyelerindeki Ortaokul Öğrencilerinde Cebirsel Düşünme: Örüntülerde Genelleme Hakkındaki Algıları

Öz:
Cebir, genel olarak sembolleri manipüle etmek olarak görülürken, cebirsel düşünmenin genelleme ile ilgili olduğu kabul edilir. Örüntüler, erken yaşlardaki çocukların cebirsel düşünmelerini geliştirmek için genelleme ile kullanılabilir. Örüntüleri genelleme bağlamında, bu çalışmanın amacı cebirsel düşünmenin geliştiği ortaokul yıllarındaki farklı sınıf seviyelerindeki öğrencilerin akıl yürütme ve çözüm stratejilerini araştırmaktır. Öncelikle, 154 ortaokul öğrencisine sayı, şekil ve tablo şeklinde temsil edilen farklı tipte örüntü soruları sorulmuştur. Sonra, her bir sınıf seviyesinden (6., 7. ve 8.sınıf) iki öğrenci ile, öğrencilerin farklı temsillerle gösterilen örüntülerdeki ilişkiyi nasıl yorumladıkları ve hangi stratejileri kullandıklarını incelemek iç in görüşmeler yapılmıştır. Çalışmanın bulguları, sınıf seviyeleri arttıkça, öğrencilerin cebirsel sembolleri kullanmaya daha eğilimli olduğunu göstermektedir. Bununla birlikte, öğrencilerin değişken kavramı ile ilgili algılarında sıkıntılar olduğu görülmüştür.
Anahtar Kelime:

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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APA GİRİT. D, AKYÜZ D (2016). Algebraic Thinking in Middle School Students at Different Grades: Conceptions about Generalization of Patterns. , 243 - 272. 10.17522/balikesirnef.277815
Chicago GİRİT. Dilek,AKYÜZ Didem Algebraic Thinking in Middle School Students at Different Grades: Conceptions about Generalization of Patterns. (2016): 243 - 272. 10.17522/balikesirnef.277815
MLA GİRİT. Dilek,AKYÜZ Didem Algebraic Thinking in Middle School Students at Different Grades: Conceptions about Generalization of Patterns. , 2016, ss.243 - 272. 10.17522/balikesirnef.277815
AMA GİRİT. D,AKYÜZ D Algebraic Thinking in Middle School Students at Different Grades: Conceptions about Generalization of Patterns. . 2016; 243 - 272. 10.17522/balikesirnef.277815
Vancouver GİRİT. D,AKYÜZ D Algebraic Thinking in Middle School Students at Different Grades: Conceptions about Generalization of Patterns. . 2016; 243 - 272. 10.17522/balikesirnef.277815
IEEE GİRİT. D,AKYÜZ D "Algebraic Thinking in Middle School Students at Different Grades: Conceptions about Generalization of Patterns." , ss.243 - 272, 2016. 10.17522/balikesirnef.277815
ISNAD GİRİT., Dilek - AKYÜZ, Didem. "Algebraic Thinking in Middle School Students at Different Grades: Conceptions about Generalization of Patterns". (2016), 243-272. https://doi.org/10.17522/balikesirnef.277815
APA GİRİT. D, AKYÜZ D (2016). Algebraic Thinking in Middle School Students at Different Grades: Conceptions about Generalization of Patterns. Necatibey Eğitim Fakültesi Elektronik Fen ve Matematik Eğitimi Dergisi, 10(2), 243 - 272. 10.17522/balikesirnef.277815
Chicago GİRİT. Dilek,AKYÜZ Didem Algebraic Thinking in Middle School Students at Different Grades: Conceptions about Generalization of Patterns. Necatibey Eğitim Fakültesi Elektronik Fen ve Matematik Eğitimi Dergisi 10, no.2 (2016): 243 - 272. 10.17522/balikesirnef.277815
MLA GİRİT. Dilek,AKYÜZ Didem Algebraic Thinking in Middle School Students at Different Grades: Conceptions about Generalization of Patterns. Necatibey Eğitim Fakültesi Elektronik Fen ve Matematik Eğitimi Dergisi, vol.10, no.2, 2016, ss.243 - 272. 10.17522/balikesirnef.277815
AMA GİRİT. D,AKYÜZ D Algebraic Thinking in Middle School Students at Different Grades: Conceptions about Generalization of Patterns. Necatibey Eğitim Fakültesi Elektronik Fen ve Matematik Eğitimi Dergisi. 2016; 10(2): 243 - 272. 10.17522/balikesirnef.277815
Vancouver GİRİT. D,AKYÜZ D Algebraic Thinking in Middle School Students at Different Grades: Conceptions about Generalization of Patterns. Necatibey Eğitim Fakültesi Elektronik Fen ve Matematik Eğitimi Dergisi. 2016; 10(2): 243 - 272. 10.17522/balikesirnef.277815
IEEE GİRİT. D,AKYÜZ D "Algebraic Thinking in Middle School Students at Different Grades: Conceptions about Generalization of Patterns." Necatibey Eğitim Fakültesi Elektronik Fen ve Matematik Eğitimi Dergisi, 10, ss.243 - 272, 2016. 10.17522/balikesirnef.277815
ISNAD GİRİT., Dilek - AKYÜZ, Didem. "Algebraic Thinking in Middle School Students at Different Grades: Conceptions about Generalization of Patterns". Necatibey Eğitim Fakültesi Elektronik Fen ve Matematik Eğitimi Dergisi 10/2 (2016), 243-272. https://doi.org/10.17522/balikesirnef.277815
Sayfa Oluşturulma Tarihi
07-05-2024 13:30

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