The study aimed to emphasize that digital revolution has crucial influences on the field of education as in many other fields. The relevant influences have led to radical changes in terms of teaching and learning approaches approved in the field of education. The students in our age have quite different characteristics when compared to the past, and their expectations have been shaped accordingly. Hence, it is quite difficult to draw interest and curiosity of the students today to learning activities through the traditional teaching approaches. Moreover, it is not easy to overcome some problems regarding teaching and learning by obsolete approaches. In this regard, the educators today show highly much interest in the innovative teaching approaches that address the needs of this age. One of those approaches is flipped classroom model. In this study, the conceptual and historical foundations of the flipped classroom model as being one of the popular instructional models in recent years, theoretical background of the model, and the advantages and disadvantages of the model in teaching processes were highlighted. Furthermore, interpretations concerning what kind of a role flipped classroom model would play to get over some problems in the field of education were included.
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This article may be used for research, teaching, and private study purposes. Any substantial or systematic reproduction, redistribution, reselling, loan, sub-licensing, systematic supply, or distribution in any form to anyone is expressly forbidden.
ÖZETBu araştırmada matematik öğretmen adaylarının rasyonel ve irrasyonel sayı kavramlarına ilişkin bilgilerinin incelenmesi amaçlanmıştır. Nitel araştırma yöntemlerinin kullanıldığı bu çalışma, durum çalışması şeklinde tasarlanmıştır. Araştırmanın katılıcılarını 40 ortaöğretim matematik öğretmen adayı oluşturmaktadır. Araştırmacılar tarafından oluşturulan açık uçlu soru formu ve yarı yapılandırılmış görüşmeler aracılığıyla toplanan verilerin analizi sonucu katılımcıların birçoğunun rasyonel ve irrasyonel sayılar konusundaki kavram bilgilerinin eksik ya da hatalı olduğu belirlenmiştir. Katılımcıların bu konuda bazı kavram yanılgılarına sahip oldukları, rasyonel ve irrasyonel sayıları birbirinden ayırt etmede yeterince başarılı olamadıkları, bir sayının farklı temsillerinin eşitliğinin bilincinde olmadıkları ve rasyonel ve irrasyonel sayı kümelerinin kardinalitelerinin belirleme ve birbiri ile mukayese etme konusunda yetersiz kaldıkları belirlenmiştir.Anahtar Sözcükler: Rasyonel sayı, irrasyonel sayı, kavram bilgisi, matematik öğretmen adayları.
The purpose of the present study was to investigate preservice secondary mathematics teachers' metacognitive behaviour in the mathematical problemsolving process. The case study methodology was employed with six preservice mathematics teachers, enrolled at one university in Ankara, Turkey. We collected data by using the think aloud method, which lasted for two sessions. It was found that there was no relationship between academic achievement and frequencies of metacognitive behaviour. However, the types of problems could affect these frequencies. Furthermore, there was no pattern in metacognitive behaviour with respect to achievement and type of problem.
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