Dönel Cisimlerin Yüzey Alanının Hesaplanması Sürecindeki Argümanların İncelenmesi

Ayşe Tekin Dede; Ali Özgün Özer; Esra Bukova Güzel

doi:10.30703/cije.1072163

EN TR

Examination of the Arguments in the Process of Calculating the Surface Area of the Solids of Revolution

Abstract

In the study, it is aimed to examine the collective arguments of students in the process of constructing a model to calculate the surface area of the solids of revolution in the Calculus I course. The participants of the study, which was designed as a case study, were forty-two students enrolled in Calculus I course in the elementary mathematics teaching department. The data consisted of the video recordings of the argumentation process and the observation notes of the researcher during the construction of the surface area model of the solids of revolution. By analysing the data, Toulmin argumentation schemes containing the components of the argumentation process were created. The findings of the study revealed that the students actively participated in the argumentation process by justifying and refuting each other's claims. In this active participation, the actions of the researcher who conducted the course to support the argumentation process, the students' pre-learning and the norms in the classroom were effective. Data, claim, warrant and rebuttal components emerged from the components of the argumentation process. Particularly, it was a remarkable finding that the students put forward rebuttals by listening to each other's explanations carefully and that these rebuttals were justifications for the subsequent arguments. Another task of the rebuttals was to invalidate not only the claim but also, in some cases, the sub-arguments containing data, claim and justification. In addition, it was understood that the students expressed their justifications with the researcher's questioning in the transition from the data to the claim. In addition to all these, it was seen that the participants did not express backings or qualifiers in the argumentation process.

Keywords

Dönel Cisimlerin Yüzey Alanının Hesaplanması Sürecindeki Argümanların İncelenmesi

Öz

Çalışmada Analiz I dersinde dönel cisimlerin yüzey alanını hesaplamayı sağlayacak modelin oluşturulması sürecinde ilköğretim matematik öğretmenliği öğrencilerinin ortaklaşa argümanlarının incelenmesi amaçlanmaktadır. Durum çalışması olarak desenlenen çalışmanın katılımcıları Analiz I dersine kayıtlı kırk iki ilköğretim matematik öğretmenliği öğrencileridir. Veriler dönel cisimlerin yüzey alanı modelinin oluşturulması esnasındaki argümantasyon sürecinin video kayıtları ile araştırmacının gözlem notlarından oluşmaktadır. Veriler analiz edilerek argümantasyon sürecinin bileşenlerini içeren Toulmin argümantasyon şemaları oluşturulmuştur. Çalışmanın bulguları öğrencilerin birbirlerinin iddialarına gerekçe sunarak ve bu iddiaları çürüterek argümantasyon sürecine aktif katılım sağladıklarını ortaya koymaktadır. Bu aktif katılımda dersi yürüten araştırmacının argümantasyon sürecini destekleyici eylemleri, öğrencilerin ön öğrenmeleri ve sınıf içindeki normlar etkili olmuştur. Argümantasyon sürecinin bileşenlerinden veri, iddia, gerekçe ve çürütücü bileşenleri ortaya çıkmıştır. Özellikle öğrencilerin birbirlerinin açıklamalarını dikkatle dinleyerek çürütücüler öne sürdükleri ve bu çürütücülerin kendinden sonraki gelen argümanların gerekçeleri olması dikkat çekici bir bulgu olmuştur. Çürütücülerin başka bir görevi de sadece iddiayı değil bazı durumlarda veri, iddia ve gerekçeyi içeren alt argümanların da geçerliğini yok etmek olmuştur. Ayrıca verilerden iddiaya geçişte araştırmacının sorgulatmasıyla birlikte öğrencilerin gerekçelerini ifade ettikleri anlaşılmaktadır. Tüm bunlarla birlikte katılımcıların argümantasyon sürecinde destekleyici ya da niteleyicileri ifade etmedikleri de görülmektedir.

Anahtar Kelimeler

Destekleyen Kurum

Dokuz Eylül Üniversitesi Bilimsel Araştırma Projeleri Birimi

Proje Numarası

2018.KB.EGT.008

Kaynakça

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Ayrıntılar

Birincil Dil

Türkçe

Konular

-

Bölüm

Araştırma Makalesi

Yazarlar

Ayşe Tekin Dede ^*
0000-0002-8971-1970
Türkiye

Ali Özgün Özer
0000-0002-4204-9115
Türkiye

Esra Bukova Güzel
0000-0001-7571-1374
Türkiye

Yayımlanma Tarihi

30 Aralık 2022

Gönderilme Tarihi

11 Şubat 2022

Kabul Tarihi

3 Kasım 2022

Yayımlandığı Sayı

Yıl 2022 Cilt: 11 Sayı: 4

DOI

https://doi.org/10.30703/cije.1072163

IZ

https://izlik.org/JA99LD42ST

Kaynak Göster

RIS / Bibtex

APA

Tekin Dede, A., Özer, A. Ö., & Bukova Güzel, E. (2022). Dönel Cisimlerin Yüzey Alanının Hesaplanması Sürecindeki Argümanların İncelenmesi. Cumhuriyet Uluslararası Eğitim Dergisi, 11(4), 587-603. https://doi.org/10.30703/cije.1072163