Mathematics teacher educators have suggested preservice mathematics teachers' (PMTs') practices provide evidence of their mathematical knowledge for teaching (MKT). PMTs engage in approximations of practice to rehearse teaching. To explore connections between MKT and PMTs' practices, we operationalized six MKT subdomains in terms of approximations…

This study explores the extent to which pre-service teachers are able to implement contemporary practices in teaching mathematics during their practicum. The main focus of the study is on the importance of prior engagement of students in learning mathematical concepts. The total population of 150 student teachers from both the Colleges of…

Mathematics teacher educators have suggested that preservice mathematics teachers' (PMTs') practices provide evidence of their Mathematical Knowledge for Teaching (MKT). In an effort to explore connections between MKT and PMTs' practices, we developed a framework that operationalizes Ball et al.'s (2008) six MKT domains in terms of approximations…

This research aims to understand how prospective teachers develop their knowledge about whole-class discussions during a lesson study. Following a qualitative approach, we focus on the work of three prospective mathematics teachers preparing, leading, and reflecting on wholeclass discussions. Data was collected through participant observation with…

We show how we used a national distribution of responses from 416 practicing teachers to items of a test of mathematical knowledge for teaching geometry to estimate changes in knowledge by a group of 11 practicing teachers who participated in a 2-year practice-based professional development programme. To draw a reliable interpretation of the…

This qualitative research presents how a mathematics teacher educator's feedbacks to two lower secondary school mathematics teachers affects their design of hypothetical learning trajectories regarding teaching patterns and their teaching practice. The data comes from a web portal, which was designed as a professional development tool for…

In this study, we analyse 23 prospective teachers' lesson plans for short whole-class mathematics discussions held with students at a middle school. The plans are in the form of "lesson plays", where an imagined discussion between the teacher and students is written verbatim. We use the Knowledge Quartet as a framework to investigate…

Stephens (2008) described structural thinking as an awareness of the way different occurrences of a mathematical property develop into correct generalisations. Many primary pre-service teachers (PSTs) graduate from their tertiary studies without the ability to notice structural thinking. In this study, two primary PSTs learned to notice structural…

Science, technology, engineering, and math (STEM) education has become an international focus of science education curricular reforms. However, few K-12 teachers have the background to authentically teach STEM in an integrated way. This is especially true of elementary teachers, who are often less confident or prepared to teach STEM disciplines…

For prospective teachers (PTs) to engage in lifelong systematic learning, they must be prepared to analyze teaching on the basis of its effects on student learning. We present the results of an intervention study aimed at developing PTs' ability to analyze a classroom video sample. The intervention used an online discussion board activity…

Empirical work that connects content knowledge to teaching practice has become increasingly important in discussions around a professional knowledge base for teaching. This paper aims to continue that work, reporting a single exploratory case study of one elementary mathematics teacher. The purpose of the study was to investigate how introducing…

This descriptive study examines the elements of mathematical knowledge for teaching (MKT) that elementary teacher candidates exhibit as they plan, teach, and reflect on a mathematics lesson that integrates children's literature. Data for this study were gathered from observations and written work of preservice elementary teacher candidates…

We investigated whether the content pre-service teachers studied in elementary teacher preparation mathematics courses was related to their performance on a mathematics lesson planning task 2 and 3 years after graduation. The relevant mathematics knowledge was studied when the teachers were freshmen, 5 to 6 years earlier. Results showed that when…

South Africa's esteem is low with regard to current learner achievement in mathematics. Results from international studies, such as TIMMS and SACMEQ, continuously indicate that South African learners perform below international benchmarks in mathematics. Research and evaluation studies assert that teacher practices and poor early mathematics…

This study investigated the relationship between prospective secondary mathematics teachers' perspectives and their mathematical knowledge for teaching in action. Data from two prospective teachers' practice-teachings, one in geometry and one in algebra, their lesson plans and self-reflections were analyzed with Teacher Perspectives and Knowledge…