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…

In this paper, we extend our previous work on challenges teachers face when engaging with proportional reasoning contexts to investigate two contexts that included four problems for middle grades teachers to solve as well as eight student solutions. Analysis included coding for correct solving of the problem as well as making sense of and…

Educational literature indicates that solving open mathematical tasks (OTs) is a powerful creativity-directed activity. However, the use of these tasks with school students on an everyday basis is extremely limited. To promote implementation of OTs in middle school, we manage a large-scale R&D project, Math-Key, which makes open mathematical…

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…

Students' perceptions are one of the sources that can be used to capture teachers' PCK. Therefore, the aim of this study was to develop a scale to determine secondary students' perceptions of their teachers' PCK. Validity and reliability studies were conducted with 659 students. Both exploratory factor analysis and confirmatory factor analysis…

This paper reports on the relationship between the subject matter knowledge of two underqualified teachers and their topic-specific pedagogical content knowledge (TSPCK) as they taught genetics at two community secondary schools in Malawi. The study was qualitative and used the multiple case study approach. The sample was purposefully chosen. Data…

This article compares the definition of "box plot" as used in the "Australian Curriculum: Mathematics" with other definitions used in the education community; describes the difficulties students experience when dealing with box plots; and discusses the elaboration that is necessary to enable teachers to develop the knowledge…