This study examined the effect of a professional development training programme on 20 second-year preservice mathematics teachers' knowledge in foundational mathematical concepts at a rural university in South Africa. The training programme aimed to enhance preservice teachers' mathematical knowledge for teaching. An embedded mixed-methods case…

Probability signifies a mainstream strand in mathematics curricula. Nonetheless, many curricular documents prepared for teachers might not offer enough support. In such a situation, a further reflection on teachers' professional knowledge for teaching probability is demanded; especially, from the perspective of probabilistic reasoning (PoPR) that…

Chemish - the scientific language of chemistry - is crucial for learning chemistry. To help students acquire the competencies to understand and use Chemish, chemistry teachers need to have a sound knowledge of teaching and learning Chemish: Pedagogical Scientific Language Knowledge (PSLK). But still, despite the importance of this knowledge, the…

Amid the implementation of new curriculum standard regarding statistics and new recommendations for preservice secondary mathematics teachers (PSMTs) to teach statistics, there is a need to examine the current state of PSMTs' knowledge of the statistical content they will be expected to teach. This study reports on the statistical knowledge of 217…

Pedagogical content knowledge (PCK) was first introduced by Shulman in the 80s. It is defined as the integration or amalgamation of pedagogy and content which basically covers the "what" and "how" of teaching. PCK was considered as the missing paradigm in the study of teaching. This integration of knowledge was long searched by…

This paper describes seven in-service teachers' interpretations of student statements about slope. The teachers interpreted sample student work, conjectured about student contributions, assessed the students' understanding, and positioned the students' statements in the mathematics curriculum. The teachers' responses provide insight into their…

This paper considers infinity as an element of professional knowledge. We assume that teachers need a wider knowledge of the topic than that they possess as mathematics students. Using three models of professional knowledge, athematics Teacher's Specialised Knowledge (MTSK), Mathematical Knowledge for Teaching (MKT), and Knowledge Quartet (KQ), we…

Amid the implementation of new curriculum standard regarding statistics and new recommendations for preservice secondary mathematics teachers [PSMTs] to teach statistics, there is a need to examine the current state of PSMTs' common statistical knowledge. This study reports on the statistical knowledge 217 PSMTs from a purposeful sample of 18…

The purpose of this article is to sketch a conceptualization of a framework for Advanced Placement (AP) Statistics Teaching Knowledge. Recent research continues to problematize the lack of knowledge and preparation among secondary level statistics teachers. The College Board's AP Statistics course continues to grow and gain popularity, but is a…

As a result of the increased focus on data literacy and data science across the world, there has been a large demand for professional development in statistics. However, exactly how these professional development opportunities should be structured remains an open question. The purpose of this paper is to describe the first iteration of a design…

Despite the increased interest in research impact, there is very little empirical evidence that educational research can inform practice directly, and furthermore, a body of literature which suggests that this is, in principle, impossible. This paper reports on a study in which secondary school teachers were given research findings about teaching…

The paper reports an investigation into how a group of elementary and middle school teachers collectively attempted to solve and understand a fraction division problem using an area model. Solving the word problem required that teachers determine how many two-thirds fit into three-fourths. The teachers struggled to conceptualise fraction division,…

This article presents a study regarding preschool teachers' skills and competencies in teaching science and mathematics. The aim of the project was twofold; one to find out the preschool teachers' knowledge about mathematics and science concepts and then to develop support material to empower them with skills and competencies to teach these…

In the Department of Physics, University of Helsinki, there are advanced physics courses designed for the needs of pre-service physics teachers. The starting point is that after introductory and intermediate physics courses, pre-service physics teachers know laws and definitions but the knowledge is quite fragmented and does not form coherent…

Technological pedagogical content knowledge TPACK refers to the knowledge set that teachers currently use to further improve the quality of their teaching and assist their students in learning. Several TPACK models have been proposed, either for discussing TPACK's possible composition or its practical applications. Considering that…