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…

Background: In recent years there has been a growing interest in potential pedagogical tools to be used in Physical Education (PE), and specifically in games. This has involved the exploration of both Gamification and Digital Video Games Approach (DVGA). Both are viable pedagogical tools for any teacher, and each have clearly different intentions…

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…

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…

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…

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 article describes the development of an instrument to measure teachers' knowledge of vocabulary development and instruction, the Teacher Knowledge of Vocabulary Survey (TKVS). This type of knowledge has become increasingly important as all classroom teachers are expected to help students meet language and literacy standards that include…

Current teaching standards and practices are dictated, at least in part, by state- and district-mandated standardized tests. Yet, despite being surrounded by data, teachers receive only basic trainings on how to use assessments. In reality, teachers use data and assessments daily--even minute by minute--through the assessment process, which uses…

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…