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Diagnosing Preservice Teachers' Understanding of Statistics and Probability: Developing a Test for Cognitive Assessment    
Yazarlar
Muhammet Arıcan
Kırşehir Ahi Evran Üniversitesi, Türkiye
Doç. Dr. Okan KUZU
Kırşehir Ahi Evran Üniversitesi, Türkiye
Özet
This study investigates preservice middle school mathematics teachers' understanding of statistics and probability and provides a cognitive diagnostic assessment of their strengths and weaknesses on these subjects. A statistical reasoning test that included 15 multiple-choice and 5 open-ended items was developed from the perspective of the log-linear cognitive diagnosis model, which is a general form of the cognitive diagnosis models. The statistical reasoning test was applied to 456 preservice teachers from 4 universities in 3 different regions of Turkey. The collected data were analyzed using the Mplus 6.12 software, and diagnostic feedback on the preservice teachers' responses was provided based on the findings. The analysis suggested that although many preservice teachers were able to represent and interpret the given data, most experienced difficulty in drawing inferences about populations based on samples, selecting and using appropriate statistical methods, and understanding and applying the basic concepts of probability. In addition, preservice teachers had difficulty answering open-ended items. Implications for teaching are also discussed.
Anahtar Kelimeler
Cognitive assessment, Diagnostic classification models, Preservice teacher education, Statistics and probability, Test design
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı International Journal of Science and Mathematics Education
Dergi ISSN 1571-0068
Dergi Tarandığı Indeksler SSCI
Makale Dili İngilizce
Basım Tarihi 04-2020
Cilt No 18
Sayı 4
Sayfalar 771 / 790
Doi Numarası 10.1007/s10763-019-09985-0
Makale Linki http://dx.doi.org/10.1007/s10763-019-09985-0