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…

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…

Using technology to get a graphical representation of functions requires the choice of a suitable viewing window. The literature suggests teachers' knowledge as being central in this process, but does not tell us much about how the teachers should manage this. This study aims to improve understanding about the teachers' choices related to the…

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 purpose of this study was to determine if the MathTwitterBlogosphere (MTBoS), an online community of practice, provides opportunities for mathematics educators to learn about the knowledge and conceptions that support the effective use of cognitively demanding tasks, including mathematical knowledge for teaching, visions of high-quality…

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,…

Researchers investigated the impact of a professional learning intervention focused on teaching teachers to increase rigor, challenge, and engagement to reveal talent in low-income learners. The professional learning intervention's goal, to improve teachers' ability to recognize student ability and talent through use of proven high-level…

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…

Providing differentiated instruction (DI) is considered an important but complex teaching skill which many teachers have not mastered and feel unprepared for. In order to design professional development activities, a thorough description of DI is required. The international literature on assessing teachers' differentiation qualities describes the…

The "2016 Knowledge for Teaching Early Elementary Mathematics" (2016 K-TEEM) test measures teachers' mathematical knowledge for teaching early elementary mathematics. The 2016 K-TEEM is the third version of the K-TEEM (Schoen, Bray, Wolfe, Tazaz, & Nielsen, 2017). In this report, we present results of the first large-scale field test…

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…

This report describes efforts by a group of science teachers, teacher educators, researchers, and content specialists to conceptualize, develop, and pilot practice-based assessment items designed to measure elementary science teachers' content knowledge for teaching (CKT). The report documents the framework used to specify the content-specific…

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…