Real-world mathematical problem (RWMP) solving and posing are important aspects of teaching and learning mathematical modelling, as well as developing a mathematization disposition for both teachers and students. Several researchers have explored blockages or difficulties in such modelling processes and in problem posing. However, prior research…

In Ireland, Initial Teacher Education [ITE] standards require all teachers to possess an adequate level of numeracy themselves in order to teach for numeracy learning across the school curriculum. This paper reports on a study that investigated 204 pre-service post-primary teachers' numeracy capabilities. Analysis of questionnaire data from…

This study examined a cohort of middle school pre-service mathematics teachers' understanding of the rate of change as they engaged in a model development sequence. By adopting a design-based research perspective, a model development sequence on the concept of rate of change has been designed and implemented as part of a mathematical modeling…

The importance of students being acquainted with algebraic ideas before secondary education has been revealed in the research literature. It is therefore essential that prospective elementary teachers (PTs) be prepared to instill an early algebra perspective in their teaching. However, PTs often show difficulties in algebra content knowledge,…

Problem solving has long been a priority in mathematics education, and the first Common Core mathematical practice (SMP1) focuses on this priority through the language of "Make sense of problems and persevere in solving them." We present findings from a survey about how prospective elementary teachers' (PTs) make sense of potential…

The aim of this mixed methods study was to investigate the difficulties prospective elementary mathematics teachers have in solving the Programme for International Student Assessment (PISA) 2012 released items. A mathematics test consisting of 26 PISA items was administered, followed by interviews. Multiple data were utilized to provide rich…

This study focused on preservice secondary teacher's use of the Understanding by Design (UbD), framework to create effective, engaging lessons for their future secondary level students. The subjects consisted of 69 secondary pre-service secondary education majors at a Texas University who were enrolled in a required course for admission into the…

The purpose of the present study is to determine the extent to which pre-service Turkish Language and Literature teachers possess summarizing skill. Answers to the following questions were sought in the study: What is the summarizing skill level of the pre-service Turkish Language and Literature teachers? Which of the summarizing rules are…

One of the applications applied most nowadays is web based instruction (WBI). Although there are many studies on WBI, no study which researched the relations between beliefs for WBI, WBI tools acceptance levels and web pedagogical content knowledge (WPCK) of science and technology pre-service teachers was found among these studies. The aim of this…

This paper reports on the knowledge for teaching mathematics of 294 pre-service primary teachers from seven Australian universities participating in a project aimed at establishing a culture of evidence-based improvement of teacher education. The project was funded by the Australian Learning and Teaching Council. Rasch measurement techniques were…