The current study aimed to sightsee the effectiveness of Mathematical knowledge for teaching (MKT) through lesson planning and technological pedagogical content knowledge (TPACK) on Rwandan mathematics tutors in teachers' training colleges. A quasi-experimental research design was used with a control and an experimental group. The experimental…

Teacher knowledge is particularly important in middle school mathematics to enhance the meaningful transition from arithmetic to algebra. Developing a solid understanding of algebra requires teachers to unpack the meaning underlying the basic concepts, make clear and explicit distinctions among concepts, and facilitate students to connect these…

Although trigonometry is an important section in secondary school mathematics curricula, many teachers find it challenging to teach as a result of insufficient pedagogical content knowledge (PCK). Therefore, the aim of this article was to report on how PCK on trigonometry manifests itself in teachers' practice. This exploratory case study was…

Existing frameworks of teachers' knowledge required to teach mathematics do not adequately capture the dynamic aspects of knowledge manifested in teaching practice. In this paper, we examine the knowledge demands that arise in situ, in the course of a teacher listening and responding to students' thinking, while teaching the topic of decimal…

The purpose of this study is to explore elementary educators' perceptions regarding what it means to conceptually understand mathematics, the emphasis teachers place on utilizing evidence-based teaching processes, as identified as effective by National Council of Teachers of Mathematics (NCTM), and how these perceptions influence their…

A broad categorisation of different reading styles for mathematics text is generated in this research. The styles derive from those found in literature around academic reading skills. These styles are inductively refined using video transcripts of five specially chosen students studying out loud from a prescribed mathematics textbook. The context…

We report on mixed methods research that explored pre-service teachers' pedagogical content knowledge in basic musical methods for teaching and learning of basic fractions within the framework of Vygotsky's Theory of Scaffolding. Vygotsky's use of scaffolding opines that knowledge, skills and prior experiences, create the foundation for potential…

We report on mixed methods research that explored pre-service teachers' pedagogical content knowledge in basic musical methods for teaching and learning of basic fractions within the framework of Vygotsky's Theory of Scaffolding. Vygotsky's use of scaffolding opines that knowledge, skills and prior experiences, create the foundation for potential…

This article contributes to the research literature concerning prospective elementary teachers' mathematical thinking and learning with a focus on flexibility. We present a case study of a prospective elementary teachers' development of flexibility in mental addition and subtraction during a Number and Operations course. Building upon the…

This paper addresses a gap in the literature on primary student-teachers' use of graphics calculators. A group of 12 student-teachers, specialising in mathematics, engaged in a mathematical task as learners, and then adapted the task for primary pupils. Their lesson plan included graphics calculators, which the student-teachers taught to a class…

Teachers' content knowledge and beliefs about teaching and learning are among the key factors for effective teaching and, in turn, for student achievement-related outcomes. This study explores the extent to which K-8 math teachers'--who teach in high-poverty urban schools--professional background, motivational beliefs, and mathematical knowledge…

This study has been aimed to propose a conceptual framework that helps researchers examine mathematics teachers' PCK in the context of supporting students' mathematical thinking. "Advancing Children's Thinking Framework" which is a pedagogical model developed by Fraivillig, Murphy and Fuson (1999) that supports the development of…

The concept of mathematical problem solving is an important mathematical process in mathematics curricula of education systems worldwide. These math curricula demand that learners are exposed to authentic problems that foster successful problem solving. To attain this very important goal, there must be mathematics teachers well versed in content…

Pre-service teachers need to acquire information and communications technology (ICT) competency in order to integrate ICT into their teaching practices. This research was conducted to investigate to what extent ICT-related variables--such as perceived ICT competence, perceived competence in ICT integration, attitudes toward ICT, anxiety around ICT…

The purpose of this study was to investigate the development of pre-service physics teachers' pedagogical content knowledge (PCK) on the subject of electricity and magnetism after their completion of physics and mathematics courses. A descriptive longitudinal development research was carried out with 13 pre-service teachers (PTs) who completed…