İlköğretim Matematik Öğretmen Adayları İçin Matematiğin Doğasına Yönelik İnanç Ölçeği (MDYİÖ): Bir Keşfedici Karma Desen Çalışması
Bu çalışmanın amacı, ilköğretim matematik öğretmen adaylarının matematiğin doğasına yönelik inançlarını belirlemek için geçerlik ve güvenirlik düzeyi yüksek bir ölçek geliştirmektir. Çalışma, keşfedici karma desen kullanılarak yapılmıştır. Çalışmanın nitel araştırma deseni tekli durum çalışması, nicel araştırma deseni ise tarama çalışması ile yürütülmüştür. Çalışmanın nitel kısmının katılımcıları, kolay ulaşılabilir örnekleme yöntemiyle belirlenmiş olan 53 son sınıf ilköğretim matematik öğretmen adayıdır. Nicel çalışmanın katılımcıları ise kolay ulaşılabilir örnekleme yöntemiyle belirlenen 499 ilköğretim matematik öğretmen adayıdır. Çalışmanın nitel kısmındaki veriler iki açık uçlu sorudan oluşan bir görüş formu yoluyla toplanmıştır. Nitel verilerin analizi, anlamsal içerik analizi kullanılarak yapılmıştır. Çalışmanın nitel verilerinin sonuçları, öğretmen adaylarının matematiksel inançlarının, araç-odaklı, amaç-odaklı, ilerlemeodaklı ve işlev-odaklı matematiksel inançlar olmak üzere dört kategoride toplandığını ortaya koymuştur. Bu dört kategoriye dayalı ölçek maddeleri yazılmış ve bu aşamada literatürdeki diğer ilgili ölçek maddeleri kullanılmamıştır. Bu süreç sonunda elde edilen ölçek maddelerinin öğretmen adaylarına uygulanmasıyla elde edilen verilere geçerlik-güvenirlik çalışmaları, açımlayıcı faktör analizi, %27’lik alt-üst grup karşılaştırmaları, madde-toplam korelasyonu ve Cronbach’s Alpha değerleri hesaplanarak yapılmıştır. Çalışmanın sonuçları, iki faktörlü geçerlik ve güvenirlik düzeyi yüksek bir ölçeği ortaya çıkarmıştır.
A Belief Questionnaire about the Nature of Mathematics for Turkish Preservice Mathematics Teachers: An Exploratory Mixed Methods Study
The purpose of this study is to develop a highly valid and reliable scalewhich determines pre-service mathematics teachers’ beliefs towards thenature of mathematics. The study was carried out using the exploratorymixed methods. The qualitative research design of the study was conductedwith a single case study and the quantitative research design was carriedout with a descriptive survey study. The participants of the qualitative part ofthe study are 53 senior pre-service mathematics teachers, selected byconvenient sampling method. The quantitative part of the study comprises499 participants, who are pre-service mathematics teachers, selected byconvenient sampling method. The data in the qualitative part of the studywere collected through a feedback form which has two open-endedquestions. The analysis of qualitative data was conducted by means ofsemantic content analysis. The results of the qualitative analysis of the studyrevealed that the mathematical beliefs of pre-service teachers are dividedinto four categories: tool-oriented, aim-oriented, progress-oriented, andfunction-oriented mathematical beliefs. Scale items were written based onthese four categories and other relevant scale items in the literature were notused at this stage. Validity-reliability studies, exploratory factor analysis,27% upper and lower group comparisons, item-total correlation andCronbach's Alpha values were calculated by applying the scale itemsobtained from this process to the pre-service teachers. The results of thestudy reveal a two-factor scale with a high validity and reliability.
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