Matematik Öğretmeni Adaylarının R2 ve R3’deki Fonksiyonların Görüntü Kümelerini Belirleme Düzeyleri

Year 2021, Volume: 29 Issue: 2, 390 - 402, 25.05.2021

Merve Özkaya , Tevfik Isleyen

Abstract

Bu çalışmanın amacı ilköğretim matematik öğretmeni adaylarının R2 ve R3’deki fonksiyonların görüntü kümelerini belirleme düzeyleri arasındaki ilişkinin belirlenmesidir. Nicel yaklaşımlardan korelasyon yönteminin kullanıldığı bu çalışma 49 ilköğretim matematik öğretmenliği programı öğrencisiyle yürütülmüştür. Verilen amaç doğrultusunda veriler, 2D ve 3D testi ile toplanmıştır. 2D testi öğrencilerin R2’deki, 3D testi ise öğrencilerin R3’deki fonksiyonların görüntü kümelerini belirleyebilme düzeylerini ortaya koymak için kullanılmıştır. Veri toplama sürecinde 2D ve 3D testindeki soruların GeoGebra desteğiyle çizilmiş grafikleri, testlerle birlikte öğrencilere sunulmuştur. Öğrencilerin R2 ve R3’deki fonksiyonların görüntü kümelerini belirleme düzeylerini karşılaştırmak için korelasyon analizi kullanılmıştır. Bu analiz sonucunda, öğrencilerin R2 ve R3’deki fonksiyonların görüntü kümelerini belirleme düzeyleri arasında yüksek düzey, pozitif yönlü ve anlamlı bir ilişki olduğu bulunmuştur. Çalışmaya dair bir diğer sonuç ise öğrencilerin R3’deki fonksiyonların görüntü kümelerini belirlemede R2’den daha başarılı olduklarıdır. GeoGebra programının dinamik özelliğinin bu sonucu doğurduğu düşünülmektedir.

Keywords

iki değişkenli fonksiyon, çok değişkenli fonksiyon, görüntü kümesi, GeoGebra

Levels of Elementary Mathematics Teacher Candidates Determination Levels of Image Sets of Functions in R2 and R3

Abstract

Purpose: This study aimed to reveal the relationship between elementary school mathematics teacher candidates' determination levels of image sets of functions in R2 and R3.
Design/Methodology/Approach: This study was conducted with 49 elementary mathematics teacher candidates and the correlation design from quantitative approaches was used. For the given purpose, the data were collected by 2D and 3D tests. The 2D test was used to reveal the students' level of determining the image sets of the functions in R2 and the 3D test was used to reveal that in R3. In the data collection process, the graphics of the questions in 2D and 3D tests drawn with the support of GeoGebra were presented to the students together with the tests. Correlation analysis was used to compare the levels of students in determining image sets of functions in R2 and R3.
Findings: According to findings, it was found that there was a high level, positive, and significant relationship between the students' levels of determining the image sets of the functions in R2 and R3. Another conclusion about the study was that the students were more successful in determining the image sets of functions in R3 than in R2. This is thought to be a result of the dynamic feature of the GeoGebra software.
Highlights: It was observed that the GeoGebra program was important in determining the image set of a function, especially in R3. For this reason it is thought that using activities designed with the GeoGebra program in related lessons can be effective in teaching two-variable functions.

Keywords

two variable function, multivariable function, image set, GeoGebra

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