Öz: Bu çalışmanın amacı, Muğla Sıtkı Koçman Üniversitesi Mühendislik Fakültesi İnşaat ve Bilgisayar Mühendisliği Bölümü öğrencilerinin çevrimiçi teknolojiler kullanılarak harmanlanmış olarak tasarlanan Kalkülüs-2 dersi bağlamında e-öğrenmeye dair beklenti, hazır bulunuşluk ve memnuniyetlerini değerlendirmektir. Çalışmadan elde edilecek sonuçların dersin tasarımının iyileştirilmesinde kullanılması planlanmaktadır. İlişkisel tarama modeli kullanılan çalışmada, katılımcıların beklenti, hazır bulunuşluk ve memnuniyetleri cinsiyet, bölüm ve daha önceden e-öğrenme deneyimine sahip olup olmama durumlarına göre incelenmiştir. Araştırmada amaçlı örnekleme yöntemlerinden ölçüt örnekleme kullanılmış ve dönem başında yapılan beklenti ve hazır bulunuşluk çalışmasına 102 öğrenci, dönem sonunda yapılan memnuniyet çalışmasına ise 95 öğrenci katılmıştır. Elde edilen verilere göre Mühendislik Fakültesi öğrencilerinin e-öğrenmeden beklenti, hazır bulunuşluk ve memnuniyet düzeyleri ile devam ettikleri bölüm, cinsiyet ve daha önceden e-öğrenme deneyimine sahip olma durumlarına göre istatistiksel olarak anlamlı bir fark bulunamamıştır. Bu tür çalışmalardan elde edilen bulguların, Türkiye'de uzaktan eğitim yöntemiyle verilen ders ve programların niteliğinin artırılmasına katkı sağlayacağı düşünülmektedir.

-The purpose of the study is to investigate 5-8th grades mathematics teachers' opinions on estimation.The phenomenological research design is used. The semi-structured interviews were conducted with seven teachers who have been experienced in various mathematics curricula. According to analysis, definition of estimation, types of estimation, strategies of estimation, instructional activities in/out of the class, difficulties during teaching of estimation and importance of estimation are seven themes of the study. The results are revealed that most of the teachers could not define estimation and identify types and strategies of estimation.Even though they thought that estimation is an important skill for daily life but they do not provide appropriate teaching environments. The most important reason is that teachers do not believe the necessity of learning estimation, they think that estimations is not going to be asked in the national exams and they do not have enough competency about estimation.

Learning and teaching function transformation has a significant place since it provides new opportunities for learners to use, reflect and discover knowledge related to the concept of function. This study's main goals related to the importance of learning function transformation are to examine pre-service mathematics teachers' (PMTs) mental constructions of function transformation from APOS theory perspective and identify their concept images and concept definitions of function transformations. Two frameworks, APOS theory and concept images and concept definitions, were considered in this study. The qualitative study adopted case study design. The participants were three female PMTs. Clinical interview methodology was used to collect the main data. Data were analyzed based on the APOS framework, and the descriptive analysis method was used in the process. The results of the study present PMTs' mental constructions as well as to their concept images or definitions of function transformation. In this study it is found that PMTs had limited knowledge regarding function transformation, but their mental constructions were changed throughout the process and they partially overcame their difficulties related to the families of functions and related function concept images and definitions.

Article HistoryReceived: 06 February 2017 This study tries to identify high school students" knowledge about the concept of proof, based on classroom discussion. The processes of discourses, both natural and prompted, are studied as they occur between students and teachers. The study employs discourse analysis as the qualitative research framework. Participants are 13 Science High School students from Izmir (Turkey) in 11th grade and two mathematics and geometry teachers. Data gathered consist of 53 filmed mathematics and geometry classes, recorded over three months, plus researchers" field notes. The focus of the study is on verbal discourse in the classroom between teachers and students. 18 recorded discourses were analyzed after transcription. The theoretical framework of the study is dependent on the social semiotics, with Halliday"s Systemic Functional Linguistics model (SFL) used in the analysis. In the SFL model there are three main components; field of discourse, tenor of discourse, and mode of discourse. This study presents findings and analysis results based on the field of discourse. Emergent findings showed important effects of teacher-student in-class discourses (in terms of the structure, diversity, and pattern characteristics) on the students" learning about proof and knowledge constructions.

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