8. Sınıf Öğrencilerinin Eğim Kavramına Yönelik Kavrayışları

Emine Aytekin Kazanç; Ece Acar; Mine Işıksal

doi:10.30703/cije.874553

EN TR

Eighth Grade Students’ Understanding of Slope Concept

Abstract

In this study, it was aimed to investigate the eight grade students’ performance on drawing graphs of real world situations, to what extent they can interpret unit rate and rate of change concepts with its different representations (geometric and algebraic ratio, functional property), and how they relate different slope representations with each other. In addition, it was examined to what extent they can relate the given situations with the slope concept. Participants consisted of 158 eight-grade students who were selected from two public schools via convenience sampling. First, four-open ended and its sub-problems were used as data collection instrument. One of those problems included static situation and three of them included dynamic real world situations. While formulating sub-questions, different slope representations including physical property, functional property, algebraic ratio, geometric ratio and linear constant were considered. Next, task-based interviews were held with four students selected based on their responses to the four problems. The findings of this study showed that most of the students could calculate the rate of change or unit rate correctly however, they sketched graph by coordinating pairs and they used graphics as figurative while explaining representations of slope. It was also seen that students who had an understanding of geometric ratio in the static situation met a challenge of relating representation of geometric ratio with functional property and linear constant representation in the interviews. In addition, it was found that, students associated the slope concept more with the static context than dynamic contexts. Therefore, to make students to establish relations between different representations of slope, it is important to use the graphical displays of both dynamics and static situations as operative.

Keywords

8. Sınıf Öğrencilerinin Eğim Kavramına Yönelik Kavrayışları

Öz

Bu çalışmada, 8. Sınıf öğrencilerinin gerçek yaşam durumlarını grafik üzerinde gösterme performanslarının, eğim kavramının temelindeki birim oran veya değişim oranını farklı temsilleriyle (geometrik ve cebirsel oran, fonksiyonel özellik) ne derece anlamlandırabildiklerinin ve farklı eğim temsillerini birbiri ile nasıl ilişkilendirdiklerinin incelenmesi amaçlanmıştır. Ek olarak, öğrencilerin verilen durumları eğim kavramı ile ilişkilendirme düzeyleri incelenmiştir. Katılımcılar, iki devlet okulundan kolay ulaşılır örneklem yöntemiyle seçilmiş; 158 sekizinci sınıf öğrencisinden oluşmaktadır. İlkin, veri toplama aracı olarak; dört açık uçlu problem ve alt soruları kullanılmıştır. Bu problemlerden biri durağan durumu, diğer üçü dinamik gerçek yaşam durumlarını içermektedir. Alt sorular oluşturulurken; farklı eğim temsilleri (fiziksel özellik, fonksiyonel özellik, cebirsel oran, geometrik oran ve doğrusal sabit) dikkate alınmıştır. Daha sonra, bu problemlere verdikleri cevaplara göre seçilen dört öğrenci ile görev temelli görüşmeler yapılmıştır. Çalışmanın bulguları, öğrencilerin çoğunun, değişim oran veya birim oran’ı doğru hesaplayabildiklerini fakat grafiği, noktaları koordine ederek çizdiklerini ve eğim temsillerini açıklarken grafiği görsel olarak kullandıklarını göstermiştir. Ayrıca görüşmelerde, durağan durumda, geometrik oran temsilini anlamlandırabilen öğrencilerin geometrik oran ile fonksiyonel özellik temsilini ilişkilendirmede ve doğrusal sabit temsilinde zorlandıkları görülmüştür. Ek olarak, öğrencilerin eğim kavramını dinamik durumlara nispeten durağan durum ile daha fazla ilişkilendirdikleri bulunmuştur. Bu nedenle, öğrencilerin farklı eğim temsilleri arası ilişkiyi kurabilmeleri için, hem dinamik hem de durağan durumların grafik gösterimlerinin işlevsel olarak kullanımı önemlidir.

Anahtar Kelimeler

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Details

Primary Language

Turkish

Subjects

-

Journal Section

Research Article

Authors

Emine Aytekin Kazanç ^*
0000-0003-1068-4306
Türkiye

Ece Acar
0000-0002-4248-7561
Türkiye

Mine Işıksal
0000-0001-7619-1390
Türkiye

Publication Date

December 30, 2021

Submission Date

February 4, 2021

Acceptance Date

August 3, 2021

Published in Issue

Year 2021 Volume: 10 Number: 4

DOI

https://doi.org/10.30703/cije.874553

IZ

https://izlik.org/JA38EL77HZ

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RIS / Bibtex

APA

Aytekin Kazanç, E., Acar, E., & Işıksal, M. (2021). 8. Sınıf Öğrencilerinin Eğim Kavramına Yönelik Kavrayışları. Cumhuriyet Uluslararası Eğitim Dergisi, 10(4), 1535-1561. https://doi.org/10.30703/cije.874553

Eighth Grade Students’ Understanding of Slope Concept

Abstract

Keywords

8. Sınıf Öğrencilerinin Eğim Kavramına Yönelik Kavrayışları

Öz

Anahtar Kelimeler

References

Details

Primary Language

Subjects

Journal Section

Authors

Publication Date

Submission Date

Acceptance Date

Published in Issue

DOI

IZ

Cite

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