Mathematical Modeling Measuring Self-Efficacy: A Scale Adaptation Study

Year 2024, Volume: 11 Issue: 1, 23 - 38

Erdoğan Yıldız Sebahat Yetim

https://doi.org/10.17278/ijesim.1438228

Abstract

Today, with science and technology developing at a dizzying pace, individuals need the information that will enable them to keep up with this pace; They need to have the skills to interpret it and transfer it to their daily lives. It is essential for individuals with these skills to have qualified teaching conditions and educational environments based on daily experiences. One of the methods that provide these environments is the mathematical modeling process. Students' success in mathematical modeling is closely related to students' self-efficacy beliefs. In this context, a study was carried out to adapt the mathematical modeling self-efficacy scale for students at secondary school level. The scale was adapted to 253 students and confirmatory factor analysis was performed. In the results obtained, it was determined that the scale used had a single-factor structure containing 17 items. Additionally, the reliability value of the scores obtained from the scale (Croanbach α = 0.89) was found to be sufficient. Among the values obtained because of the analysis, the χ2/df value is lower than 5, the AGFI and GFI values are greater than 0.85, and the RMSEA value is lower than 0.08, indicating the presence of model fit in terms of fit indices. As a result, it was determined that the mathematical modeling self-efficacy scale is a valid and appropriate scale for secondary school students.

Keywords

mathematical modeling, self-efficacy scale, scale adaptation

Matematiksel Modelleme Öz yeterliklerin Ölçülmesi: Bir Ölçek Uyarlama Çalışması

Abstract

Günümüzde baş döndürücü hızla gelişen bilim ve teknoloji ile birlikte bireylerin bu hıza ayak uydurabilmelerini sağlayacak bilgiyi; yorumlamaya, günlük yaşantılarına aktaracak becerilere sahip olmaları gerekmektedir. Bu becerilere sahip bireylerin nitelikli öğretim koşullarına, günlük yaşantılara dayalı eğitim-öğretim ortamlarının varlığına sahip olmaları şarttır. Bu ortamları sağlayan yöntemlerin biri de matematiksel modelleme sürecidir. Öğrencilerin matematiksel modellemedeki başarısı, öğrencilerin özyeterlik inancı ile yakından ilişkilidir. Bu bağlamda yapılan çalışmada, ortaokul düzeyinde öğrencilere yönelik matematiksel modelleme özyeterlik ölçeği uyarlama çalışması gerçekleştirilmiştir. Ölçek 253 öğrenciye uyarlanmış ve doğrulayıcı faktör analizi yapılmıştır. Elde edilen sonuçlarda, kullanılan ölçeğin 17 madde içeren tek faktörlü bir yapısı olduğu saptanmıştır. Ayrıca, ölçekten elde edilen puanların güvenirlik değeri (Croanbach α= 0,89) yeterli bulunmuştur. Analiz sonucunda elde edilen değerlerden, χ2/df değerinin 5'ten düşük olması, AGFI ve GFI değerlerinin 0,85'ten büyük olması ve RMSEA değerinin 0,08'den düşük olması uyum indeksleri açısından model uyumunun varlığını göstermektedir. Sonuç olarak, matematiksel modelleme özyeterlik ölçeğinin ortaokul öğrencileri için geçerli ve uygun bir ölçek olduğu belirlenmiştir.

Keywords

: Matematiksel modelleme, öz yeterlik ölçeği, ölçek uyarlama

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